|\^/| Maple 12 (IBM INTEL LINUX)
._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008
\ MAPLE / All rights reserved. Maple is a trademark of
<____ ____> Waterloo Maple Inc.
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> #BEGIN OUTFILE1
> # Begin Function number 3
> check_sign := proc( x0 ,xf)
> local ret;
> if (xf > x0) then # if number 1
> ret := 1.0;
> else
> ret := -1.0;
> fi;# end if 1;
> ret;;
> end;
check_sign := proc(x0, xf)
local ret;
if x0 < xf then ret := 1.0 else ret := -1.0 end if; ret
end proc
> # End Function number 3
> # Begin Function number 4
> est_size_answer := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2,
> array_const_0D0,
> array_const_3D0,
> array_const_1,
> array_const_2D0,
> array_const_4D0,
> #END CONST
> array_x2_init,
> array_x1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_x2,
> array_t,
> array_x1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_tmp16,
> array_tmp17,
> array_m1,
> array_x2_higher,
> array_x2_higher_work,
> array_x2_higher_work2,
> array_x2_set_initial,
> array_x1_higher,
> array_x1_higher_work,
> array_x1_higher_work2,
> array_x1_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local min_size;
> min_size := glob_large_float;
> if (omniabs(array_x2[1]) < min_size) then # if number 1
> min_size := omniabs(array_x2[1]);
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> if (omniabs(array_x1[1]) < min_size) then # if number 1
> min_size := omniabs(array_x1[1]);
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> if (min_size < 1.0) then # if number 1
> min_size := 1.0;
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> min_size;
> end;
est_size_answer := proc()
local min_size;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_2,
array_const_0D0, array_const_3D0, array_const_1, array_const_2D0,
array_const_4D0, array_x2_init, array_x1_init, array_norms, array_fact_1,
array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole,
array_x2, array_t, array_x1, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9,
array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14,
array_tmp15, array_tmp16, array_tmp17, array_m1, array_x2_higher,
array_x2_higher_work, array_x2_higher_work2, array_x2_set_initial,
array_x1_higher, array_x1_higher_work, array_x1_higher_work2,
array_x1_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
min_size := glob_large_float;
if omniabs(array_x2[1]) < min_size then
min_size := omniabs(array_x2[1]);
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
if omniabs(array_x1[1]) < min_size then
min_size := omniabs(array_x1[1]);
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
if min_size < 1.0 then
min_size := 1.0;
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
min_size
end proc
> # End Function number 4
> # Begin Function number 5
> test_suggested_h := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2,
> array_const_0D0,
> array_const_3D0,
> array_const_1,
> array_const_2D0,
> array_const_4D0,
> #END CONST
> array_x2_init,
> array_x1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_x2,
> array_t,
> array_x1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_tmp16,
> array_tmp17,
> array_m1,
> array_x2_higher,
> array_x2_higher_work,
> array_x2_higher_work2,
> array_x2_set_initial,
> array_x1_higher,
> array_x1_higher_work,
> array_x1_higher_work2,
> array_x1_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local max_value3,hn_div_ho,hn_div_ho_2,hn_div_ho_3,value3,no_terms;
> max_value3 := 0.0;
> no_terms := glob_max_terms;
> hn_div_ho := 0.5;
> hn_div_ho_2 := 0.25;
> hn_div_ho_3 := 0.125;
> omniout_float(ALWAYS,"hn_div_ho",32,hn_div_ho,32,"");
> omniout_float(ALWAYS,"hn_div_ho_2",32,hn_div_ho_2,32,"");
> omniout_float(ALWAYS,"hn_div_ho_3",32,hn_div_ho_3,32,"");
> value3 := omniabs(array_x2[no_terms-3] + array_x2[no_terms - 2] * hn_div_ho + array_x2[no_terms - 1] * hn_div_ho_2 + array_x2[no_terms] * hn_div_ho_3);
> if (value3 > max_value3) then # if number 1
> max_value3 := value3;
> omniout_float(ALWAYS,"value3",32,value3,32,"");
> fi;# end if 1;
> value3 := omniabs(array_x1[no_terms-3] + array_x1[no_terms - 2] * hn_div_ho + array_x1[no_terms - 1] * hn_div_ho_2 + array_x1[no_terms] * hn_div_ho_3);
> if (value3 > max_value3) then # if number 1
> max_value3 := value3;
> omniout_float(ALWAYS,"value3",32,value3,32,"");
> fi;# end if 1;
> omniout_float(ALWAYS,"max_value3",32,max_value3,32,"");
> max_value3;
> end;
test_suggested_h := proc()
local max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_2,
array_const_0D0, array_const_3D0, array_const_1, array_const_2D0,
array_const_4D0, array_x2_init, array_x1_init, array_norms, array_fact_1,
array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole,
array_x2, array_t, array_x1, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9,
array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14,
array_tmp15, array_tmp16, array_tmp17, array_m1, array_x2_higher,
array_x2_higher_work, array_x2_higher_work2, array_x2_set_initial,
array_x1_higher, array_x1_higher_work, array_x1_higher_work2,
array_x1_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
max_value3 := 0.;
no_terms := glob_max_terms;
hn_div_ho := 0.5;
hn_div_ho_2 := 0.25;
hn_div_ho_3 := 0.125;
omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, "");
omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, "");
omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, "");
value3 := omniabs(array_x2[no_terms - 3]
+ array_x2[no_terms - 2]*hn_div_ho
+ array_x2[no_terms - 1]*hn_div_ho_2
+ array_x2[no_terms]*hn_div_ho_3);
if max_value3 < value3 then
max_value3 := value3;
omniout_float(ALWAYS, "value3", 32, value3, 32, "")
end if;
value3 := omniabs(array_x1[no_terms - 3]
+ array_x1[no_terms - 2]*hn_div_ho
+ array_x1[no_terms - 1]*hn_div_ho_2
+ array_x1[no_terms]*hn_div_ho_3);
if max_value3 < value3 then
max_value3 := value3;
omniout_float(ALWAYS, "value3", 32, value3, 32, "")
end if;
omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, "");
max_value3
end proc
> # End Function number 5
> # Begin Function number 6
> reached_interval := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2,
> array_const_0D0,
> array_const_3D0,
> array_const_1,
> array_const_2D0,
> array_const_4D0,
> #END CONST
> array_x2_init,
> array_x1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_x2,
> array_t,
> array_x1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_tmp16,
> array_tmp17,
> array_m1,
> array_x2_higher,
> array_x2_higher_work,
> array_x2_higher_work2,
> array_x2_set_initial,
> array_x1_higher,
> array_x1_higher_work,
> array_x1_higher_work2,
> array_x1_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local ret;
> if (glob_check_sign * (array_t[1]) >= glob_check_sign * glob_next_display) then # if number 1
> ret := true;
> else
> ret := false;
> fi;# end if 1;
> return(ret);
> end;
reached_interval := proc()
local ret;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_2,
array_const_0D0, array_const_3D0, array_const_1, array_const_2D0,
array_const_4D0, array_x2_init, array_x1_init, array_norms, array_fact_1,
array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole,
array_x2, array_t, array_x1, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9,
array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14,
array_tmp15, array_tmp16, array_tmp17, array_m1, array_x2_higher,
array_x2_higher_work, array_x2_higher_work2, array_x2_set_initial,
array_x1_higher, array_x1_higher_work, array_x1_higher_work2,
array_x1_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
if glob_check_sign*glob_next_display <= glob_check_sign*array_t[1] then
ret := true
else ret := false
end if;
return ret
end proc
> # End Function number 6
> # Begin Function number 7
> display_alot := proc(iter)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2,
> array_const_0D0,
> array_const_3D0,
> array_const_1,
> array_const_2D0,
> array_const_4D0,
> #END CONST
> array_x2_init,
> array_x1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_x2,
> array_t,
> array_x1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_tmp16,
> array_tmp17,
> array_m1,
> array_x2_higher,
> array_x2_higher_work,
> array_x2_higher_work2,
> array_x2_set_initial,
> array_x1_higher,
> array_x1_higher_work,
> array_x1_higher_work2,
> array_x1_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
> #TOP DISPLAY ALOT
> if (reached_interval()) then # if number 1
> if (iter >= 0) then # if number 2
> ind_var := array_t[1];
> omniout_float(ALWAYS,"t[1] ",33,ind_var,20," ");
> analytic_val_y := exact_soln_x2(ind_var);
> omniout_float(ALWAYS,"x2[1] (analytic) ",33,analytic_val_y,20," ");
> term_no := 1;
> numeric_val := array_x2[term_no];
> abserr := omniabs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"x2[1] (numeric) ",33,numeric_val,20," ");
> if (omniabs(analytic_val_y) <> 0.0) then # if number 3
> relerr := abserr*100.0/omniabs(analytic_val_y);
> if (relerr > 0.0000000000000000000000000000000001) then # if number 4
> glob_good_digits := -trunc(log10(relerr)) + 2;
> else
> glob_good_digits := Digits;
> fi;# end if 4;
> else
> relerr := -1.0 ;
> glob_good_digits := -1;
> fi;# end if 3;
> if (glob_iter = 1) then # if number 3
> array_1st_rel_error[1] := relerr;
> else
> array_last_rel_error[1] := relerr;
> fi;# end if 3;
> omniout_float(ALWAYS,"absolute error ",4,abserr,20," ");
> omniout_float(ALWAYS,"relative error ",4,relerr,20,"%");
> omniout_int(INFO,"Correct digits ",32,glob_good_digits,4," ")
> ;
> omniout_float(ALWAYS,"h ",4,glob_h,20," ");
> ;
> analytic_val_y := exact_soln_x1(ind_var);
> omniout_float(ALWAYS,"x1[1] (analytic) ",33,analytic_val_y,20," ");
> term_no := 1;
> numeric_val := array_x1[term_no];
> abserr := omniabs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"x1[1] (numeric) ",33,numeric_val,20," ");
> if (omniabs(analytic_val_y) <> 0.0) then # if number 3
> relerr := abserr*100.0/omniabs(analytic_val_y);
> if (relerr > 0.0000000000000000000000000000000001) then # if number 4
> glob_good_digits := -trunc(log10(relerr)) + 2;
> else
> glob_good_digits := Digits;
> fi;# end if 4;
> else
> relerr := -1.0 ;
> glob_good_digits := -1;
> fi;# end if 3;
> if (glob_iter = 1) then # if number 3
> array_1st_rel_error[2] := relerr;
> else
> array_last_rel_error[2] := relerr;
> fi;# end if 3;
> omniout_float(ALWAYS,"absolute error ",4,abserr,20," ");
> omniout_float(ALWAYS,"relative error ",4,relerr,20,"%");
> omniout_int(INFO,"Correct digits ",32,glob_good_digits,4," ")
> ;
> omniout_float(ALWAYS,"h ",4,glob_h,20," ");
> fi;# end if 2;
> #BOTTOM DISPLAY ALOT
> fi;# end if 1;
> end;
display_alot := proc(iter)
local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_2,
array_const_0D0, array_const_3D0, array_const_1, array_const_2D0,
array_const_4D0, array_x2_init, array_x1_init, array_norms, array_fact_1,
array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole,
array_x2, array_t, array_x1, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9,
array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14,
array_tmp15, array_tmp16, array_tmp17, array_m1, array_x2_higher,
array_x2_higher_work, array_x2_higher_work2, array_x2_set_initial,
array_x1_higher, array_x1_higher_work, array_x1_higher_work2,
array_x1_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
if reached_interval() then
if 0 <= iter then
ind_var := array_t[1];
omniout_float(ALWAYS, "t[1] ", 33,
ind_var, 20, " ");
analytic_val_y := exact_soln_x2(ind_var);
omniout_float(ALWAYS, "x2[1] (analytic) ", 33,
analytic_val_y, 20, " ");
term_no := 1;
numeric_val := array_x2[term_no];
abserr := omniabs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "x2[1] (numeric) ", 33,
numeric_val, 20, " ");
if omniabs(analytic_val_y) <> 0. then
relerr := abserr*100.0/omniabs(analytic_val_y);
if 0.1*10^(-33) < relerr then
glob_good_digits := -trunc(log10(relerr)) + 2
else glob_good_digits := Digits
end if
else relerr := -1.0; glob_good_digits := -1
end if;
if glob_iter = 1 then array_1st_rel_error[1] := relerr
else array_last_rel_error[1] := relerr
end if;
omniout_float(ALWAYS, "absolute error ", 4,
abserr, 20, " ");
omniout_float(ALWAYS, "relative error ", 4,
relerr, 20, "%");
omniout_int(INFO, "Correct digits ", 32,
glob_good_digits, 4, " ");
omniout_float(ALWAYS, "h ", 4,
glob_h, 20, " ");
analytic_val_y := exact_soln_x1(ind_var);
omniout_float(ALWAYS, "x1[1] (analytic) ", 33,
analytic_val_y, 20, " ");
term_no := 1;
numeric_val := array_x1[term_no];
abserr := omniabs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "x1[1] (numeric) ", 33,
numeric_val, 20, " ");
if omniabs(analytic_val_y) <> 0. then
relerr := abserr*100.0/omniabs(analytic_val_y);
if 0.1*10^(-33) < relerr then
glob_good_digits := -trunc(log10(relerr)) + 2
else glob_good_digits := Digits
end if
else relerr := -1.0; glob_good_digits := -1
end if;
if glob_iter = 1 then array_1st_rel_error[2] := relerr
else array_last_rel_error[2] := relerr
end if;
omniout_float(ALWAYS, "absolute error ", 4,
abserr, 20, " ");
omniout_float(ALWAYS, "relative error ", 4,
relerr, 20, "%");
omniout_int(INFO, "Correct digits ", 32,
glob_good_digits, 4, " ");
omniout_float(ALWAYS, "h ", 4,
glob_h, 20, " ")
end if
end if
end proc
> # End Function number 7
> # Begin Function number 8
> adjust_for_pole := proc(h_param)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2,
> array_const_0D0,
> array_const_3D0,
> array_const_1,
> array_const_2D0,
> array_const_4D0,
> #END CONST
> array_x2_init,
> array_x1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_x2,
> array_t,
> array_x1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_tmp16,
> array_tmp17,
> array_m1,
> array_x2_higher,
> array_x2_higher_work,
> array_x2_higher_work2,
> array_x2_set_initial,
> array_x1_higher,
> array_x1_higher_work,
> array_x1_higher_work2,
> array_x1_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local hnew, sz2, tmp;
> #TOP ADJUST FOR POLE
> hnew := h_param;
> glob_normmax := glob_small_float;
> if (omniabs(array_x2_higher[1,1]) > glob_small_float) then # if number 1
> tmp := omniabs(array_x2_higher[1,1]);
> if (tmp < glob_normmax) then # if number 2
> glob_normmax := tmp;
> fi;# end if 2
> fi;# end if 1;
> if (omniabs(array_x1_higher[1,1]) > glob_small_float) then # if number 1
> tmp := omniabs(array_x1_higher[1,1]);
> if (tmp < glob_normmax) then # if number 2
> glob_normmax := tmp;
> fi;# end if 2
> fi;# end if 1;
> if (glob_look_poles and (omniabs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1
> sz2 := array_pole[1]/10.0;
> if (sz2 < hnew) then # if number 2
> omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity.");
> omniout_str(INFO,"Reached Optimal");
> return(hnew);
> fi;# end if 2
> fi;# end if 1;
> if ( not glob_reached_optimal_h) then # if number 1
> glob_reached_optimal_h := true;
> glob_curr_iter_when_opt := glob_current_iter;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> glob_optimal_start := array_t[1];
> fi;# end if 1;
> hnew := sz2;
> ;#END block
> return(hnew);
> #BOTTOM ADJUST FOR POLE
> end;
adjust_for_pole := proc(h_param)
local hnew, sz2, tmp;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_2,
array_const_0D0, array_const_3D0, array_const_1, array_const_2D0,
array_const_4D0, array_x2_init, array_x1_init, array_norms, array_fact_1,
array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole,
array_x2, array_t, array_x1, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9,
array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14,
array_tmp15, array_tmp16, array_tmp17, array_m1, array_x2_higher,
array_x2_higher_work, array_x2_higher_work2, array_x2_set_initial,
array_x1_higher, array_x1_higher_work, array_x1_higher_work2,
array_x1_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
hnew := h_param;
glob_normmax := glob_small_float;
if glob_small_float < omniabs(array_x2_higher[1, 1]) then
tmp := omniabs(array_x2_higher[1, 1]);
if tmp < glob_normmax then glob_normmax := tmp end if
end if;
if glob_small_float < omniabs(array_x1_higher[1, 1]) then
tmp := omniabs(array_x1_higher[1, 1]);
if tmp < glob_normmax then glob_normmax := tmp end if
end if;
if glob_look_poles and glob_small_float < omniabs(array_pole[1]) and
array_pole[1] <> glob_large_float then
sz2 := array_pole[1]/10.0;
if sz2 < hnew then
omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity.");
omniout_str(INFO, "Reached Optimal");
return hnew
end if
end if;
if not glob_reached_optimal_h then
glob_reached_optimal_h := true;
glob_curr_iter_when_opt := glob_current_iter;
glob_optimal_clock_start_sec := elapsed_time_seconds();
glob_optimal_start := array_t[1]
end if;
hnew := sz2;
return hnew
end proc
> # End Function number 8
> # Begin Function number 9
> prog_report := proc(t_start,t_end)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2,
> array_const_0D0,
> array_const_3D0,
> array_const_1,
> array_const_2D0,
> array_const_4D0,
> #END CONST
> array_x2_init,
> array_x1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_x2,
> array_t,
> array_x1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_tmp16,
> array_tmp17,
> array_m1,
> array_x2_higher,
> array_x2_higher_work,
> array_x2_higher_work2,
> array_x2_set_initial,
> array_x1_higher,
> array_x1_higher_work,
> array_x1_higher_work2,
> array_x1_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec;
> #TOP PROGRESS REPORT
> clock_sec1 := elapsed_time_seconds();
> total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
> glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
> left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1);
> expect_sec := comp_expect_sec(convfloat(t_end),convfloat(t_start),convfloat(array_t[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec));
> opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec);
> glob_optimal_expect_sec := comp_expect_sec(convfloat(t_end),convfloat(t_start),convfloat(array_t[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec));
> glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec;
> percent_done := comp_percent(convfloat(t_end),convfloat(t_start),convfloat(array_t[1]) + convfloat(glob_h));
> glob_percent_done := percent_done;
> omniout_str_noeol(INFO,"Total Elapsed Time ");
> omniout_timestr(convfloat(total_clock_sec));
> omniout_str_noeol(INFO,"Elapsed Time(since restart) ");
> omniout_timestr(convfloat(glob_clock_sec));
> if (convfloat(percent_done) < convfloat(100.0)) then # if number 1
> omniout_str_noeol(INFO,"Expected Time Remaining ");
> omniout_timestr(convfloat(expect_sec));
> omniout_str_noeol(INFO,"Optimized Time Remaining ");
> omniout_timestr(convfloat(glob_optimal_expect_sec));
> omniout_str_noeol(INFO,"Expected Total Time ");
> omniout_timestr(convfloat(glob_total_exp_sec));
> fi;# end if 1;
> omniout_str_noeol(INFO,"Time to Timeout ");
> omniout_timestr(convfloat(left_sec));
> omniout_float(INFO, "Percent Done ",33,percent_done,4,"%");
> #BOTTOM PROGRESS REPORT
> end;
prog_report := proc(t_start, t_end)
local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec,
percent_done, total_clock_sec;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_2,
array_const_0D0, array_const_3D0, array_const_1, array_const_2D0,
array_const_4D0, array_x2_init, array_x1_init, array_norms, array_fact_1,
array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole,
array_x2, array_t, array_x1, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9,
array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14,
array_tmp15, array_tmp16, array_tmp17, array_m1, array_x2_higher,
array_x2_higher_work, array_x2_higher_work2, array_x2_set_initial,
array_x1_higher, array_x1_higher_work, array_x1_higher_work2,
array_x1_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
clock_sec1 := elapsed_time_seconds();
total_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
glob_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec)
- convfloat(clock_sec1);
expect_sec := comp_expect_sec(convfloat(t_end), convfloat(t_start),
convfloat(array_t[1]) + convfloat(glob_h),
convfloat(clock_sec1) - convfloat(glob_orig_start_sec));
opt_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec);
glob_optimal_expect_sec := comp_expect_sec(convfloat(t_end),
convfloat(t_start), convfloat(array_t[1]) + convfloat(glob_h),
convfloat(opt_clock_sec));
glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec;
percent_done := comp_percent(convfloat(t_end), convfloat(t_start),
convfloat(array_t[1]) + convfloat(glob_h));
glob_percent_done := percent_done;
omniout_str_noeol(INFO, "Total Elapsed Time ");
omniout_timestr(convfloat(total_clock_sec));
omniout_str_noeol(INFO, "Elapsed Time(since restart) ");
omniout_timestr(convfloat(glob_clock_sec));
if convfloat(percent_done) < convfloat(100.0) then
omniout_str_noeol(INFO, "Expected Time Remaining ");
omniout_timestr(convfloat(expect_sec));
omniout_str_noeol(INFO, "Optimized Time Remaining ");
omniout_timestr(convfloat(glob_optimal_expect_sec));
omniout_str_noeol(INFO, "Expected Total Time ");
omniout_timestr(convfloat(glob_total_exp_sec))
end if;
omniout_str_noeol(INFO, "Time to Timeout ");
omniout_timestr(convfloat(left_sec));
omniout_float(INFO, "Percent Done ", 33,
percent_done, 4, "%")
end proc
> # End Function number 9
> # Begin Function number 10
> check_for_pole := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2,
> array_const_0D0,
> array_const_3D0,
> array_const_1,
> array_const_2D0,
> array_const_4D0,
> #END CONST
> array_x2_init,
> array_x1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_x2,
> array_t,
> array_x1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_tmp16,
> array_tmp17,
> array_m1,
> array_x2_higher,
> array_x2_higher_work,
> array_x2_higher_work2,
> array_x2_set_initial,
> array_x1_higher,
> array_x1_higher_work,
> array_x1_higher_work2,
> array_x1_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local cnt, dr1, dr2, ds1, ds2, hdrc,hdrc_BBB, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term;
> #TOP CHECK FOR POLE
> #IN RADII REAL EQ = 1
> #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1
> #Applies to pole of arbitrary r_order on the real axis,
> #Due to Prof. George Corliss.
> n := glob_max_terms;
> m := n - 2 - 1;
> while ((m >= 10) and ((omniabs(array_x2_higher[1,m]) < glob_small_float * glob_small_float) or (omniabs(array_x2_higher[1,m-1]) < glob_small_float * glob_small_float) or (omniabs(array_x2_higher[1,m-2]) < glob_small_float * glob_small_float ))) do # do number 2
> m := m - 1;
> od;# end do number 2;
> if (m > 10) then # if number 1
> rm0 := array_x2_higher[1,m]/array_x2_higher[1,m-1];
> rm1 := array_x2_higher[1,m-1]/array_x2_higher[1,m-2];
> hdrc := convfloat(m)*rm0-convfloat(m-1)*rm1;
> if (omniabs(hdrc) > glob_small_float * glob_small_float) then # if number 2
> rcs := glob_h/hdrc;
> ord_no := (rm1*convfloat((m-2)*(m-2))-rm0*convfloat(m-3))/hdrc;
> array_real_pole[1,1] := rcs;
> array_real_pole[1,2] := ord_no;
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 2
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 1;
> #BOTTOM RADII REAL EQ = 1
> #IN RADII REAL EQ = 2
> #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 2
> #Applies to pole of arbitrary r_order on the real axis,
> #Due to Prof. George Corliss.
> n := glob_max_terms;
> m := n - 1 - 1;
> while ((m >= 10) and ((omniabs(array_x1_higher[1,m]) < glob_small_float * glob_small_float) or (omniabs(array_x1_higher[1,m-1]) < glob_small_float * glob_small_float) or (omniabs(array_x1_higher[1,m-2]) < glob_small_float * glob_small_float ))) do # do number 2
> m := m - 1;
> od;# end do number 2;
> if (m > 10) then # if number 1
> rm0 := array_x1_higher[1,m]/array_x1_higher[1,m-1];
> rm1 := array_x1_higher[1,m-1]/array_x1_higher[1,m-2];
> hdrc := convfloat(m)*rm0-convfloat(m-1)*rm1;
> if (omniabs(hdrc) > glob_small_float * glob_small_float) then # if number 2
> rcs := glob_h/hdrc;
> ord_no := (rm1*convfloat((m-2)*(m-2))-rm0*convfloat(m-3))/hdrc;
> array_real_pole[2,1] := rcs;
> array_real_pole[2,2] := ord_no;
> else
> array_real_pole[2,1] := glob_large_float;
> array_real_pole[2,2] := glob_large_float;
> fi;# end if 2
> else
> array_real_pole[2,1] := glob_large_float;
> array_real_pole[2,2] := glob_large_float;
> fi;# end if 1;
> #BOTTOM RADII REAL EQ = 2
> #TOP RADII COMPLEX EQ = 1
> #Computes radius of convergence for complex conjugate pair of poles.
> #from 6 adjacent Taylor series terms
> #Also computes r_order of poles.
> #Due to Manuel Prieto.
> #With a correction by Dennis J. Darland
> n := glob_max_terms - 2 - 1;
> cnt := 0;
> while ((cnt < 5) and (n >= 10)) do # do number 2
> if (omniabs(array_x2_higher[1,n]) > glob_small_float) then # if number 1
> cnt := cnt + 1;
> else
> cnt := 0;
> fi;# end if 1;
> n := n - 1;
> od;# end do number 2;
> m := n + cnt;
> if (m <= 10) then # if number 1
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> elif
> (((omniabs(array_x2_higher[1,m]) >= (glob_large_float)) or (omniabs(array_x2_higher[1,m-1]) >=(glob_large_float)) or (omniabs(array_x2_higher[1,m-2]) >= (glob_large_float)) or (omniabs(array_x2_higher[1,m-3]) >= (glob_large_float)) or (omniabs(array_x2_higher[1,m-4]) >= (glob_large_float)) or (omniabs(array_x2_higher[1,m-5]) >= (glob_large_float))) or ((omniabs(array_x2_higher[1,m]) <= (glob_small_float)) or (omniabs(array_x2_higher[1,m-1]) <=(glob_small_float)) or (omniabs(array_x2_higher[1,m-2]) <= (glob_small_float)) or (omniabs(array_x2_higher[1,m-3]) <= (glob_small_float)) or (omniabs(array_x2_higher[1,m-4]) <= (glob_small_float)) or (omniabs(array_x2_higher[1,m-5]) <= (glob_small_float)))) then # if number 2
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> rm0 := (array_x2_higher[1,m])/(array_x2_higher[1,m-1]);
> rm1 := (array_x2_higher[1,m-1])/(array_x2_higher[1,m-2]);
> rm2 := (array_x2_higher[1,m-2])/(array_x2_higher[1,m-3]);
> rm3 := (array_x2_higher[1,m-3])/(array_x2_higher[1,m-4]);
> rm4 := (array_x2_higher[1,m-4])/(array_x2_higher[1,m-5]);
> nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2;
> nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3;
> dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
> dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
> ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
> ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
> if ((omniabs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (omniabs(dr1) <= glob_small_float)) then # if number 3
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> if (omniabs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 4
> rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1));
> #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1)
> ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0;
> if (omniabs(rcs) > glob_small_float) then # if number 5
> if (rcs > 0.0) then # if number 6
> rad_c := sqrt(rcs) * omniabs(glob_h);
> else
> rad_c := glob_large_float;
> fi;# end if 6
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 5
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 4
> fi;# end if 3;
> array_complex_pole[1,1] := rad_c;
> array_complex_pole[1,2] := ord_no;
> fi;# end if 2;
> #BOTTOM RADII COMPLEX EQ = 1
> #TOP RADII COMPLEX EQ = 2
> #Computes radius of convergence for complex conjugate pair of poles.
> #from 6 adjacent Taylor series terms
> #Also computes r_order of poles.
> #Due to Manuel Prieto.
> #With a correction by Dennis J. Darland
> n := glob_max_terms - 1 - 1;
> cnt := 0;
> while ((cnt < 5) and (n >= 10)) do # do number 2
> if (omniabs(array_x1_higher[1,n]) > glob_small_float) then # if number 2
> cnt := cnt + 1;
> else
> cnt := 0;
> fi;# end if 2;
> n := n - 1;
> od;# end do number 2;
> m := n + cnt;
> if (m <= 10) then # if number 2
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> elif
> (((omniabs(array_x1_higher[1,m]) >= (glob_large_float)) or (omniabs(array_x1_higher[1,m-1]) >=(glob_large_float)) or (omniabs(array_x1_higher[1,m-2]) >= (glob_large_float)) or (omniabs(array_x1_higher[1,m-3]) >= (glob_large_float)) or (omniabs(array_x1_higher[1,m-4]) >= (glob_large_float)) or (omniabs(array_x1_higher[1,m-5]) >= (glob_large_float))) or ((omniabs(array_x1_higher[1,m]) <= (glob_small_float)) or (omniabs(array_x1_higher[1,m-1]) <=(glob_small_float)) or (omniabs(array_x1_higher[1,m-2]) <= (glob_small_float)) or (omniabs(array_x1_higher[1,m-3]) <= (glob_small_float)) or (omniabs(array_x1_higher[1,m-4]) <= (glob_small_float)) or (omniabs(array_x1_higher[1,m-5]) <= (glob_small_float)))) then # if number 3
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> rm0 := (array_x1_higher[1,m])/(array_x1_higher[1,m-1]);
> rm1 := (array_x1_higher[1,m-1])/(array_x1_higher[1,m-2]);
> rm2 := (array_x1_higher[1,m-2])/(array_x1_higher[1,m-3]);
> rm3 := (array_x1_higher[1,m-3])/(array_x1_higher[1,m-4]);
> rm4 := (array_x1_higher[1,m-4])/(array_x1_higher[1,m-5]);
> nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2;
> nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3;
> dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
> dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
> ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
> ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
> if ((omniabs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (omniabs(dr1) <= glob_small_float)) then # if number 4
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> if (omniabs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 5
> rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1));
> #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1)
> ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0;
> if (omniabs(rcs) > glob_small_float) then # if number 6
> if (rcs > 0.0) then # if number 7
> rad_c := sqrt(rcs) * omniabs(glob_h);
> else
> rad_c := glob_large_float;
> fi;# end if 7
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 6
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 5
> fi;# end if 4;
> array_complex_pole[2,1] := rad_c;
> array_complex_pole[2,2] := ord_no;
> fi;# end if 3;
> #BOTTOM RADII COMPLEX EQ = 2
> found_sing := 0;
> #TOP WHICH RADII EQ = 1
> if (1 <> found_sing and ((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float)) and ((array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 3
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> found_sing := 1;
> array_type_pole[1] := 2;
> if (glob_display_flag) then # if number 4
> if (reached_interval()) then # if number 5
> omniout_str(ALWAYS,"Complex estimate of poles used for equation 1");
> fi;# end if 5;
> fi;# end if 4;
> fi;# end if 3;
> if (1 <> found_sing and ((array_real_pole[1,1] <> glob_large_float) and (array_real_pole[1,2] <> glob_large_float) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > -1.0 * glob_smallish_float) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float) or (array_complex_pole[1,1] <= 0.0 ) or (array_complex_pole[1,2] <= 0.0)))) then # if number 3
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found_sing := 1;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 4
> if (reached_interval()) then # if number 5
> omniout_str(ALWAYS,"Real estimate of pole used for equation 1");
> fi;# end if 5;
> fi;# end if 4;
> fi;# end if 3;
> if (1 <> found_sing and (((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float)))) then # if number 3
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> found_sing := 1;
> array_type_pole[1] := 3;
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"NO POLE for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> if (1 <> found_sing and ((array_real_pole[1,1] < array_complex_pole[1,1]) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > -1.0 * glob_smallish_float))) then # if number 3
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found_sing := 1;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 4
> if (reached_interval()) then # if number 5
> omniout_str(ALWAYS,"Real estimate of pole used for equation 1");
> fi;# end if 5;
> fi;# end if 4;
> fi;# end if 3;
> if (1 <> found_sing and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float) and (array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 3
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> array_type_pole[1] := 2;
> found_sing := 1;
> if (glob_display_flag) then # if number 4
> if (reached_interval()) then # if number 5
> omniout_str(ALWAYS,"Complex estimate of poles used for equation 1");
> fi;# end if 5;
> fi;# end if 4;
> fi;# end if 3;
> if (1 <> found_sing ) then # if number 3
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> array_type_pole[1] := 3;
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"NO POLE for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> #BOTTOM WHICH RADII EQ = 1
> #TOP WHICH RADII EQ = 2
> if (2 <> found_sing and ((array_real_pole[2,1] = glob_large_float) or (array_real_pole[2,2] = glob_large_float)) and ((array_complex_pole[2,1] <> glob_large_float) and (array_complex_pole[2,2] <> glob_large_float)) and ((array_complex_pole[2,1] > 0.0) and (array_complex_pole[2,2] > 0.0))) then # if number 3
> array_poles[2,1] := array_complex_pole[2,1];
> array_poles[2,2] := array_complex_pole[2,2];
> found_sing := 2;
> array_type_pole[2] := 2;
> if (glob_display_flag) then # if number 4
> if (reached_interval()) then # if number 5
> omniout_str(ALWAYS,"Complex estimate of poles used for equation 2");
> fi;# end if 5;
> fi;# end if 4;
> fi;# end if 3;
> if (2 <> found_sing and ((array_real_pole[2,1] <> glob_large_float) and (array_real_pole[2,2] <> glob_large_float) and (array_real_pole[2,1] > 0.0) and (array_real_pole[2,2] > -1.0 * glob_smallish_float) and ((array_complex_pole[2,1] = glob_large_float) or (array_complex_pole[2,2] = glob_large_float) or (array_complex_pole[2,1] <= 0.0 ) or (array_complex_pole[2,2] <= 0.0)))) then # if number 3
> array_poles[2,1] := array_real_pole[2,1];
> array_poles[2,2] := array_real_pole[2,2];
> found_sing := 2;
> array_type_pole[2] := 1;
> if (glob_display_flag) then # if number 4
> if (reached_interval()) then # if number 5
> omniout_str(ALWAYS,"Real estimate of pole used for equation 2");
> fi;# end if 5;
> fi;# end if 4;
> fi;# end if 3;
> if (2 <> found_sing and (((array_real_pole[2,1] = glob_large_float) or (array_real_pole[2,2] = glob_large_float)) and ((array_complex_pole[2,1] = glob_large_float) or (array_complex_pole[2,2] = glob_large_float)))) then # if number 3
> array_poles[2,1] := glob_large_float;
> array_poles[2,2] := glob_large_float;
> found_sing := 2;
> array_type_pole[2] := 3;
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"NO POLE for equation 2");
> fi;# end if 4;
> fi;# end if 3;
> if (2 <> found_sing and ((array_real_pole[2,1] < array_complex_pole[2,1]) and (array_real_pole[2,1] > 0.0) and (array_real_pole[2,2] > -1.0 * glob_smallish_float))) then # if number 3
> array_poles[2,1] := array_real_pole[2,1];
> array_poles[2,2] := array_real_pole[2,2];
> found_sing := 2;
> array_type_pole[2] := 1;
> if (glob_display_flag) then # if number 4
> if (reached_interval()) then # if number 5
> omniout_str(ALWAYS,"Real estimate of pole used for equation 2");
> fi;# end if 5;
> fi;# end if 4;
> fi;# end if 3;
> if (2 <> found_sing and ((array_complex_pole[2,1] <> glob_large_float) and (array_complex_pole[2,2] <> glob_large_float) and (array_complex_pole[2,1] > 0.0) and (array_complex_pole[2,2] > 0.0))) then # if number 3
> array_poles[2,1] := array_complex_pole[2,1];
> array_poles[2,2] := array_complex_pole[2,2];
> array_type_pole[2] := 2;
> found_sing := 2;
> if (glob_display_flag) then # if number 4
> if (reached_interval()) then # if number 5
> omniout_str(ALWAYS,"Complex estimate of poles used for equation 2");
> fi;# end if 5;
> fi;# end if 4;
> fi;# end if 3;
> if (2 <> found_sing ) then # if number 3
> array_poles[2,1] := glob_large_float;
> array_poles[2,2] := glob_large_float;
> array_type_pole[2] := 3;
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"NO POLE for equation 2");
> fi;# end if 4;
> fi;# end if 3;
> #BOTTOM WHICH RADII EQ = 2
> array_pole[1] := glob_large_float;
> array_pole[2] := glob_large_float;
> #TOP WHICH RADIUS EQ = 1
> if (array_pole[1] > array_poles[1,1]) then # if number 3
> array_pole[1] := array_poles[1,1];
> array_pole[2] := array_poles[1,2];
> fi;# end if 3;
> #BOTTOM WHICH RADIUS EQ = 1
> #TOP WHICH RADIUS EQ = 2
> if (array_pole[1] > array_poles[2,1]) then # if number 3
> array_pole[1] := array_poles[2,1];
> array_pole[2] := array_poles[2,2];
> fi;# end if 3;
> #BOTTOM WHICH RADIUS EQ = 2
> #START ADJUST ALL SERIES
> if (array_pole[1] * glob_ratio_of_radius < omniabs(glob_h)) then # if number 3
> h_new := array_pole[1] * glob_ratio_of_radius;
> term := 1;
> ratio := 1.0;
> while (term <= glob_max_terms) do # do number 2
> array_x2[term] := array_x2[term]* ratio;
> array_x2_higher[1,term] := array_x2_higher[1,term]* ratio;
> array_t[term] := array_t[term]* ratio;
> array_x1[term] := array_x1[term]* ratio;
> array_x1_higher[1,term] := array_x1_higher[1,term]* ratio;
> array_t[term] := array_t[term]* ratio;
> ratio := ratio * h_new / omniabs(glob_h);
> term := term + 1;
> od;# end do number 2;
> glob_h := h_new;
> fi;# end if 3;
> #BOTTOM ADJUST ALL SERIES
> if (reached_interval()) then # if number 3
> display_pole();
> fi;# end if 3
> end;
check_for_pole := proc()
local cnt, dr1, dr2, ds1, ds2, hdrc, hdrc_BBB, m, n, nr1, nr2, ord_no,
rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_2,
array_const_0D0, array_const_3D0, array_const_1, array_const_2D0,
array_const_4D0, array_x2_init, array_x1_init, array_norms, array_fact_1,
array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole,
array_x2, array_t, array_x1, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9,
array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14,
array_tmp15, array_tmp16, array_tmp17, array_m1, array_x2_higher,
array_x2_higher_work, array_x2_higher_work2, array_x2_set_initial,
array_x1_higher, array_x1_higher_work, array_x1_higher_work2,
array_x1_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
n := glob_max_terms;
m := n - 3;
while 10 <= m and (
omniabs(array_x2_higher[1, m]) < glob_small_float*glob_small_float or
omniabs(array_x2_higher[1, m - 1]) < glob_small_float*glob_small_float
or
omniabs(array_x2_higher[1, m - 2]) < glob_small_float*glob_small_float)
do m := m - 1
end do;
if 10 < m then
rm0 := array_x2_higher[1, m]/array_x2_higher[1, m - 1];
rm1 := array_x2_higher[1, m - 1]/array_x2_higher[1, m - 2];
hdrc := convfloat(m)*rm0 - convfloat(m - 1)*rm1;
if glob_small_float*glob_small_float < omniabs(hdrc) then
rcs := glob_h/hdrc;
ord_no := (
rm1*convfloat((m - 2)*(m - 2)) - rm0*convfloat(m - 3))/hdrc
;
array_real_pole[1, 1] := rcs;
array_real_pole[1, 2] := ord_no
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if;
n := glob_max_terms;
m := n - 2;
while 10 <= m and (
omniabs(array_x1_higher[1, m]) < glob_small_float*glob_small_float or
omniabs(array_x1_higher[1, m - 1]) < glob_small_float*glob_small_float
or
omniabs(array_x1_higher[1, m - 2]) < glob_small_float*glob_small_float)
do m := m - 1
end do;
if 10 < m then
rm0 := array_x1_higher[1, m]/array_x1_higher[1, m - 1];
rm1 := array_x1_higher[1, m - 1]/array_x1_higher[1, m - 2];
hdrc := convfloat(m)*rm0 - convfloat(m - 1)*rm1;
if glob_small_float*glob_small_float < omniabs(hdrc) then
rcs := glob_h/hdrc;
ord_no := (
rm1*convfloat((m - 2)*(m - 2)) - rm0*convfloat(m - 3))/hdrc
;
array_real_pole[2, 1] := rcs;
array_real_pole[2, 2] := ord_no
else
array_real_pole[2, 1] := glob_large_float;
array_real_pole[2, 2] := glob_large_float
end if
else
array_real_pole[2, 1] := glob_large_float;
array_real_pole[2, 2] := glob_large_float
end if;
n := glob_max_terms - 3;
cnt := 0;
while cnt < 5 and 10 <= n do
if glob_small_float < omniabs(array_x2_higher[1, n]) then
cnt := cnt + 1
else cnt := 0
end if;
n := n - 1
end do;
m := n + cnt;
if m <= 10 then rad_c := glob_large_float; ord_no := glob_large_float
elif glob_large_float <= omniabs(array_x2_higher[1, m]) or
glob_large_float <= omniabs(array_x2_higher[1, m - 1]) or
glob_large_float <= omniabs(array_x2_higher[1, m - 2]) or
glob_large_float <= omniabs(array_x2_higher[1, m - 3]) or
glob_large_float <= omniabs(array_x2_higher[1, m - 4]) or
glob_large_float <= omniabs(array_x2_higher[1, m - 5]) or
omniabs(array_x2_higher[1, m]) <= glob_small_float or
omniabs(array_x2_higher[1, m - 1]) <= glob_small_float or
omniabs(array_x2_higher[1, m - 2]) <= glob_small_float or
omniabs(array_x2_higher[1, m - 3]) <= glob_small_float or
omniabs(array_x2_higher[1, m - 4]) <= glob_small_float or
omniabs(array_x2_higher[1, m - 5]) <= glob_small_float then
rad_c := glob_large_float; ord_no := glob_large_float
else
rm0 := array_x2_higher[1, m]/array_x2_higher[1, m - 1];
rm1 := array_x2_higher[1, m - 1]/array_x2_higher[1, m - 2];
rm2 := array_x2_higher[1, m - 2]/array_x2_higher[1, m - 3];
rm3 := array_x2_higher[1, m - 3]/array_x2_higher[1, m - 4];
rm4 := array_x2_higher[1, m - 4]/array_x2_higher[1, m - 5];
nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1
+ convfloat(m - 3)*rm2;
nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2
+ convfloat(m - 4)*rm3;
dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
if omniabs(nr1*dr2 - nr2*dr1) <= glob_small_float or
omniabs(dr1) <= glob_small_float then
rad_c := glob_large_float; ord_no := glob_large_float
else
if glob_small_float < omniabs(nr1*dr2 - nr2*dr1) then
rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1);
ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0;
if glob_small_float < omniabs(rcs) then
if 0. < rcs then rad_c := sqrt(rcs)*omniabs(glob_h)
else rad_c := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
end if;
array_complex_pole[1, 1] := rad_c;
array_complex_pole[1, 2] := ord_no
end if;
n := glob_max_terms - 2;
cnt := 0;
while cnt < 5 and 10 <= n do
if glob_small_float < omniabs(array_x1_higher[1, n]) then
cnt := cnt + 1
else cnt := 0
end if;
n := n - 1
end do;
m := n + cnt;
if m <= 10 then rad_c := glob_large_float; ord_no := glob_large_float
elif glob_large_float <= omniabs(array_x1_higher[1, m]) or
glob_large_float <= omniabs(array_x1_higher[1, m - 1]) or
glob_large_float <= omniabs(array_x1_higher[1, m - 2]) or
glob_large_float <= omniabs(array_x1_higher[1, m - 3]) or
glob_large_float <= omniabs(array_x1_higher[1, m - 4]) or
glob_large_float <= omniabs(array_x1_higher[1, m - 5]) or
omniabs(array_x1_higher[1, m]) <= glob_small_float or
omniabs(array_x1_higher[1, m - 1]) <= glob_small_float or
omniabs(array_x1_higher[1, m - 2]) <= glob_small_float or
omniabs(array_x1_higher[1, m - 3]) <= glob_small_float or
omniabs(array_x1_higher[1, m - 4]) <= glob_small_float or
omniabs(array_x1_higher[1, m - 5]) <= glob_small_float then
rad_c := glob_large_float; ord_no := glob_large_float
else
rm0 := array_x1_higher[1, m]/array_x1_higher[1, m - 1];
rm1 := array_x1_higher[1, m - 1]/array_x1_higher[1, m - 2];
rm2 := array_x1_higher[1, m - 2]/array_x1_higher[1, m - 3];
rm3 := array_x1_higher[1, m - 3]/array_x1_higher[1, m - 4];
rm4 := array_x1_higher[1, m - 4]/array_x1_higher[1, m - 5];
nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1
+ convfloat(m - 3)*rm2;
nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2
+ convfloat(m - 4)*rm3;
dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
if omniabs(nr1*dr2 - nr2*dr1) <= glob_small_float or
omniabs(dr1) <= glob_small_float then
rad_c := glob_large_float; ord_no := glob_large_float
else
if glob_small_float < omniabs(nr1*dr2 - nr2*dr1) then
rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1);
ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0;
if glob_small_float < omniabs(rcs) then
if 0. < rcs then rad_c := sqrt(rcs)*omniabs(glob_h)
else rad_c := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
end if;
array_complex_pole[2, 1] := rad_c;
array_complex_pole[2, 2] := ord_no
end if;
found_sing := 0;
if 1 <> found_sing and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and
array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
found_sing := 1;
array_type_pole[1] := 2;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Complex estimate of poles used for equation 1")
end if
end if
end if;
if 1 <> found_sing and array_real_pole[1, 1] <> glob_large_float and
array_real_pole[1, 2] <> glob_large_float and
0. < array_real_pole[1, 1] and
-1.0*glob_smallish_float < array_real_pole[1, 2] and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float or
array_complex_pole[1, 1] <= 0. or array_complex_pole[1, 2] <= 0.) then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found_sing := 1;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Real estimate of pole used for equation 1")
end if
end if
end if;
if 1 <> found_sing and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float) then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
found_sing := 1;
array_type_pole[1] := 3;
if reached_interval() then
omniout_str(ALWAYS, "NO POLE for equation 1")
end if
end if;
if 1 <> found_sing and array_real_pole[1, 1] < array_complex_pole[1, 1]
and 0. < array_real_pole[1, 1] and
-1.0*glob_smallish_float < array_real_pole[1, 2] then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found_sing := 1;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Real estimate of pole used for equation 1")
end if
end if
end if;
if 1 <> found_sing and array_complex_pole[1, 1] <> glob_large_float
and array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
array_type_pole[1] := 2;
found_sing := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Complex estimate of poles used for equation 1")
end if
end if
end if;
if 1 <> found_sing then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
array_type_pole[1] := 3;
if reached_interval() then
omniout_str(ALWAYS, "NO POLE for equation 1")
end if
end if;
if 2 <> found_sing and (array_real_pole[2, 1] = glob_large_float or
array_real_pole[2, 2] = glob_large_float) and
array_complex_pole[2, 1] <> glob_large_float and
array_complex_pole[2, 2] <> glob_large_float and
0. < array_complex_pole[2, 1] and 0. < array_complex_pole[2, 2] then
array_poles[2, 1] := array_complex_pole[2, 1];
array_poles[2, 2] := array_complex_pole[2, 2];
found_sing := 2;
array_type_pole[2] := 2;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Complex estimate of poles used for equation 2")
end if
end if
end if;
if 2 <> found_sing and array_real_pole[2, 1] <> glob_large_float and
array_real_pole[2, 2] <> glob_large_float and
0. < array_real_pole[2, 1] and
-1.0*glob_smallish_float < array_real_pole[2, 2] and (
array_complex_pole[2, 1] = glob_large_float or
array_complex_pole[2, 2] = glob_large_float or
array_complex_pole[2, 1] <= 0. or array_complex_pole[2, 2] <= 0.) then
array_poles[2, 1] := array_real_pole[2, 1];
array_poles[2, 2] := array_real_pole[2, 2];
found_sing := 2;
array_type_pole[2] := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Real estimate of pole used for equation 2")
end if
end if
end if;
if 2 <> found_sing and (array_real_pole[2, 1] = glob_large_float or
array_real_pole[2, 2] = glob_large_float) and (
array_complex_pole[2, 1] = glob_large_float or
array_complex_pole[2, 2] = glob_large_float) then
array_poles[2, 1] := glob_large_float;
array_poles[2, 2] := glob_large_float;
found_sing := 2;
array_type_pole[2] := 3;
if reached_interval() then
omniout_str(ALWAYS, "NO POLE for equation 2")
end if
end if;
if 2 <> found_sing and array_real_pole[2, 1] < array_complex_pole[2, 1]
and 0. < array_real_pole[2, 1] and
-1.0*glob_smallish_float < array_real_pole[2, 2] then
array_poles[2, 1] := array_real_pole[2, 1];
array_poles[2, 2] := array_real_pole[2, 2];
found_sing := 2;
array_type_pole[2] := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Real estimate of pole used for equation 2")
end if
end if
end if;
if 2 <> found_sing and array_complex_pole[2, 1] <> glob_large_float
and array_complex_pole[2, 2] <> glob_large_float and
0. < array_complex_pole[2, 1] and 0. < array_complex_pole[2, 2] then
array_poles[2, 1] := array_complex_pole[2, 1];
array_poles[2, 2] := array_complex_pole[2, 2];
array_type_pole[2] := 2;
found_sing := 2;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Complex estimate of poles used for equation 2")
end if
end if
end if;
if 2 <> found_sing then
array_poles[2, 1] := glob_large_float;
array_poles[2, 2] := glob_large_float;
array_type_pole[2] := 3;
if reached_interval() then
omniout_str(ALWAYS, "NO POLE for equation 2")
end if
end if;
array_pole[1] := glob_large_float;
array_pole[2] := glob_large_float;
if array_poles[1, 1] < array_pole[1] then
array_pole[1] := array_poles[1, 1];
array_pole[2] := array_poles[1, 2]
end if;
if array_poles[2, 1] < array_pole[1] then
array_pole[1] := array_poles[2, 1];
array_pole[2] := array_poles[2, 2]
end if;
if array_pole[1]*glob_ratio_of_radius < omniabs(glob_h) then
h_new := array_pole[1]*glob_ratio_of_radius;
term := 1;
ratio := 1.0;
while term <= glob_max_terms do
array_x2[term] := array_x2[term]*ratio;
array_x2_higher[1, term] := array_x2_higher[1, term]*ratio;
array_t[term] := array_t[term]*ratio;
array_x1[term] := array_x1[term]*ratio;
array_x1_higher[1, term] := array_x1_higher[1, term]*ratio;
array_t[term] := array_t[term]*ratio;
ratio := ratio*h_new/omniabs(glob_h);
term := term + 1
end do;
glob_h := h_new
end if;
if reached_interval() then display_pole() end if
end proc
> # End Function number 10
> # Begin Function number 11
> get_norms := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2,
> array_const_0D0,
> array_const_3D0,
> array_const_1,
> array_const_2D0,
> array_const_4D0,
> #END CONST
> array_x2_init,
> array_x1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_x2,
> array_t,
> array_x1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_tmp16,
> array_tmp17,
> array_m1,
> array_x2_higher,
> array_x2_higher_work,
> array_x2_higher_work2,
> array_x2_set_initial,
> array_x1_higher,
> array_x1_higher_work,
> array_x1_higher_work2,
> array_x1_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local iii;
> if ( not glob_initial_pass) then # if number 3
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> array_norms[iii] := 0.0;
> iii := iii + 1;
> od;# end do number 2;
> #TOP GET NORMS
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> if (omniabs(array_x2[iii]) > array_norms[iii]) then # if number 4
> array_norms[iii] := omniabs(array_x2[iii]);
> fi;# end if 4;
> iii := iii + 1;
> od;# end do number 2
> ;
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> if (omniabs(array_x1[iii]) > array_norms[iii]) then # if number 4
> array_norms[iii] := omniabs(array_x1[iii]);
> fi;# end if 4;
> iii := iii + 1;
> od;# end do number 2
> #BOTTOM GET NORMS
> ;
> fi;# end if 3;
> end;
get_norms := proc()
local iii;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_2,
array_const_0D0, array_const_3D0, array_const_1, array_const_2D0,
array_const_4D0, array_x2_init, array_x1_init, array_norms, array_fact_1,
array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole,
array_x2, array_t, array_x1, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9,
array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14,
array_tmp15, array_tmp16, array_tmp17, array_m1, array_x2_higher,
array_x2_higher_work, array_x2_higher_work2, array_x2_set_initial,
array_x1_higher, array_x1_higher_work, array_x1_higher_work2,
array_x1_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
if not glob_initial_pass then
iii := 1;
while iii <= glob_max_terms do
array_norms[iii] := 0.; iii := iii + 1
end do;
iii := 1;
while iii <= glob_max_terms do
if array_norms[iii] < omniabs(array_x2[iii]) then
array_norms[iii] := omniabs(array_x2[iii])
end if;
iii := iii + 1
end do;
iii := 1;
while iii <= glob_max_terms do
if array_norms[iii] < omniabs(array_x1[iii]) then
array_norms[iii] := omniabs(array_x1[iii])
end if;
iii := iii + 1
end do
end if
end proc
> # End Function number 11
> # Begin Function number 12
> atomall := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2,
> array_const_0D0,
> array_const_3D0,
> array_const_1,
> array_const_2D0,
> array_const_4D0,
> #END CONST
> array_x2_init,
> array_x1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_x2,
> array_t,
> array_x1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_tmp16,
> array_tmp17,
> array_m1,
> array_x2_higher,
> array_x2_higher_work,
> array_x2_higher_work2,
> array_x2_set_initial,
> array_x1_higher,
> array_x1_higher_work,
> array_x1_higher_work2,
> array_x1_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local kkk, order_d, adj2, adj3 , temporary, term;
> #TOP ATOMALL
> #END OUTFILE1
> #BEGIN ATOMHDR1
> #emit pre diff $eq_no = 1 i = 1 order_d = 1
> array_tmp1[1] := array_x2_higher[2,1];
> #emit pre mult CONST FULL $eq_no = 1 i = 1
> array_tmp2[1] := array_const_3D0[1] * array_tmp1[1];
> #emit pre add CONST FULL $eq_no = 1 i = 1
> array_tmp3[1] := array_const_0D0[1] + array_tmp2[1];
> #emit pre mult CONST FULL $eq_no = 1 i = 1
> array_tmp4[1] := array_const_2D0[1] * array_x2[1];
> #emit pre sub FULL FULL $eq_no = 1 i = 1
> array_tmp5[1] := array_tmp3[1] - array_tmp4[1];
> #emit pre diff $eq_no = 1 i = 1 order_d = 2
> array_tmp6[1] := array_x1_higher[3,1];
> #emit pre sub FULL FULL $eq_no = 1 i = 1
> array_tmp7[1] := array_tmp5[1] - array_tmp6[1];
> #emit pre diff $eq_no = 1 i = 1 order_d = 1
> array_tmp8[1] := array_x1_higher[2,1];
> #emit pre sub FULL FULL $eq_no = 1 i = 1
> array_tmp9[1] := array_tmp7[1] - array_tmp8[1];
> #emit pre add FULL FULL $eq_no = 1 i = 1
> array_tmp10[1] := array_tmp9[1] + array_x1[1];
> #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5
> if ( not array_x2_set_initial[1,3]) then # if number 1
> if (1 <= glob_max_terms) then # if number 2
> temporary := array_tmp10[1] * expt(glob_h , (2)) * factorial_3(0,2);
> array_x2[3] := temporary;
> array_x2_higher[1,3] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_x2_higher[2,2] := temporary;
> temporary := temporary / glob_h * (1.0);
> array_x2_higher[3,1] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 2;
> #emit pre mult CONST FULL $eq_no = 2 i = 1
> array_tmp12[1] := array_const_4D0[1] * array_x2[1];
> #emit pre diff $eq_no = 2 i = 1 order_d = 1
> array_tmp13[1] := array_x2_higher[2,1];
> #emit pre mult CONST FULL $eq_no = 2 i = 1
> array_tmp14[1] := array_const_2D0[1] * array_tmp13[1];
> #emit pre sub FULL FULL $eq_no = 2 i = 1
> array_tmp15[1] := array_tmp12[1] - array_tmp14[1];
> #emit pre mult CONST FULL $eq_no = 2 i = 1
> array_tmp16[1] := array_const_2D0[1] * array_x1[1];
> #emit pre sub FULL FULL $eq_no = 2 i = 1
> array_tmp17[1] := array_tmp15[1] - array_tmp16[1];
> #emit pre assign xxx $eq_no = 2 i = 1 $min_hdrs = 5
> if ( not array_x1_set_initial[2,2]) then # if number 1
> if (1 <= glob_max_terms) then # if number 2
> temporary := array_tmp17[1] * expt(glob_h , (1)) * factorial_3(0,1);
> array_x1[2] := temporary;
> array_x1_higher[1,2] := temporary;
> temporary := temporary / glob_h * (1.0);
> array_x1_higher[2,1] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 2;
> #END ATOMHDR1
> #BEGIN ATOMHDR2
> #emit pre diff $eq_no = 1 i = 2 order_d = 1
> array_tmp1[2] := array_x2_higher[2,2];
> #emit pre mult CONST FULL $eq_no = 1 i = 2
> array_tmp2[2] := array_const_3D0[1] * array_tmp1[2];
> #emit pre add CONST FULL $eq_no = 1 i = 2
> array_tmp3[2] := array_tmp2[2];
> #emit pre mult CONST FULL $eq_no = 1 i = 2
> array_tmp4[2] := array_const_2D0[1] * array_x2[2];
> #emit pre sub FULL FULL $eq_no = 1 i = 2
> array_tmp5[2] := array_tmp3[2] - array_tmp4[2];
> #emit pre diff $eq_no = 1 i = 2 order_d = 2
> array_tmp6[2] := array_x1_higher[3,2];
> #emit pre sub FULL FULL $eq_no = 1 i = 2
> array_tmp7[2] := array_tmp5[2] - array_tmp6[2];
> #emit pre diff $eq_no = 1 i = 2 order_d = 1
> array_tmp8[2] := array_x1_higher[2,2];
> #emit pre sub FULL FULL $eq_no = 1 i = 2
> array_tmp9[2] := array_tmp7[2] - array_tmp8[2];
> #emit pre add FULL FULL $eq_no = 1 i = 2
> array_tmp10[2] := array_tmp9[2] + array_x1[2];
> #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5
> if ( not array_x2_set_initial[1,4]) then # if number 1
> if (2 <= glob_max_terms) then # if number 2
> temporary := array_tmp10[2] * expt(glob_h , (2)) * factorial_3(1,3);
> array_x2[4] := temporary;
> array_x2_higher[1,4] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_x2_higher[2,3] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_x2_higher[3,2] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 3;
> #emit pre mult CONST FULL $eq_no = 2 i = 2
> array_tmp12[2] := array_const_4D0[1] * array_x2[2];
> #emit pre diff $eq_no = 2 i = 2 order_d = 1
> array_tmp13[2] := array_x2_higher[2,2];
> #emit pre mult CONST FULL $eq_no = 2 i = 2
> array_tmp14[2] := array_const_2D0[1] * array_tmp13[2];
> #emit pre sub FULL FULL $eq_no = 2 i = 2
> array_tmp15[2] := array_tmp12[2] - array_tmp14[2];
> #emit pre mult CONST FULL $eq_no = 2 i = 2
> array_tmp16[2] := array_const_2D0[1] * array_x1[2];
> #emit pre sub FULL FULL $eq_no = 2 i = 2
> array_tmp17[2] := array_tmp15[2] - array_tmp16[2];
> #emit pre assign xxx $eq_no = 2 i = 2 $min_hdrs = 5
> if ( not array_x1_set_initial[2,3]) then # if number 1
> if (2 <= glob_max_terms) then # if number 2
> temporary := array_tmp17[2] * expt(glob_h , (1)) * factorial_3(1,2);
> array_x1[3] := temporary;
> array_x1_higher[1,3] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_x1_higher[2,2] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 3;
> #END ATOMHDR2
> #BEGIN ATOMHDR3
> #emit pre diff $eq_no = 1 i = 3 order_d = 1
> array_tmp1[3] := array_x2_higher[2,3];
> #emit pre mult CONST FULL $eq_no = 1 i = 3
> array_tmp2[3] := array_const_3D0[1] * array_tmp1[3];
> #emit pre add CONST FULL $eq_no = 1 i = 3
> array_tmp3[3] := array_tmp2[3];
> #emit pre mult CONST FULL $eq_no = 1 i = 3
> array_tmp4[3] := array_const_2D0[1] * array_x2[3];
> #emit pre sub FULL FULL $eq_no = 1 i = 3
> array_tmp5[3] := array_tmp3[3] - array_tmp4[3];
> #emit pre diff $eq_no = 1 i = 3 order_d = 2
> array_tmp6[3] := array_x1_higher[3,3];
> #emit pre sub FULL FULL $eq_no = 1 i = 3
> array_tmp7[3] := array_tmp5[3] - array_tmp6[3];
> #emit pre diff $eq_no = 1 i = 3 order_d = 1
> array_tmp8[3] := array_x1_higher[2,3];
> #emit pre sub FULL FULL $eq_no = 1 i = 3
> array_tmp9[3] := array_tmp7[3] - array_tmp8[3];
> #emit pre add FULL FULL $eq_no = 1 i = 3
> array_tmp10[3] := array_tmp9[3] + array_x1[3];
> #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5
> if ( not array_x2_set_initial[1,5]) then # if number 1
> if (3 <= glob_max_terms) then # if number 2
> temporary := array_tmp10[3] * expt(glob_h , (2)) * factorial_3(2,4);
> array_x2[5] := temporary;
> array_x2_higher[1,5] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_x2_higher[2,4] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_x2_higher[3,3] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 4;
> #emit pre mult CONST FULL $eq_no = 2 i = 3
> array_tmp12[3] := array_const_4D0[1] * array_x2[3];
> #emit pre diff $eq_no = 2 i = 3 order_d = 1
> array_tmp13[3] := array_x2_higher[2,3];
> #emit pre mult CONST FULL $eq_no = 2 i = 3
> array_tmp14[3] := array_const_2D0[1] * array_tmp13[3];
> #emit pre sub FULL FULL $eq_no = 2 i = 3
> array_tmp15[3] := array_tmp12[3] - array_tmp14[3];
> #emit pre mult CONST FULL $eq_no = 2 i = 3
> array_tmp16[3] := array_const_2D0[1] * array_x1[3];
> #emit pre sub FULL FULL $eq_no = 2 i = 3
> array_tmp17[3] := array_tmp15[3] - array_tmp16[3];
> #emit pre assign xxx $eq_no = 2 i = 3 $min_hdrs = 5
> if ( not array_x1_set_initial[2,4]) then # if number 1
> if (3 <= glob_max_terms) then # if number 2
> temporary := array_tmp17[3] * expt(glob_h , (1)) * factorial_3(2,3);
> array_x1[4] := temporary;
> array_x1_higher[1,4] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_x1_higher[2,3] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 4;
> #END ATOMHDR3
> #BEGIN ATOMHDR4
> #emit pre diff $eq_no = 1 i = 4 order_d = 1
> array_tmp1[4] := array_x2_higher[2,4];
> #emit pre mult CONST FULL $eq_no = 1 i = 4
> array_tmp2[4] := array_const_3D0[1] * array_tmp1[4];
> #emit pre add CONST FULL $eq_no = 1 i = 4
> array_tmp3[4] := array_tmp2[4];
> #emit pre mult CONST FULL $eq_no = 1 i = 4
> array_tmp4[4] := array_const_2D0[1] * array_x2[4];
> #emit pre sub FULL FULL $eq_no = 1 i = 4
> array_tmp5[4] := array_tmp3[4] - array_tmp4[4];
> #emit pre diff $eq_no = 1 i = 4 order_d = 2
> array_tmp6[4] := array_x1_higher[3,4];
> #emit pre sub FULL FULL $eq_no = 1 i = 4
> array_tmp7[4] := array_tmp5[4] - array_tmp6[4];
> #emit pre diff $eq_no = 1 i = 4 order_d = 1
> array_tmp8[4] := array_x1_higher[2,4];
> #emit pre sub FULL FULL $eq_no = 1 i = 4
> array_tmp9[4] := array_tmp7[4] - array_tmp8[4];
> #emit pre add FULL FULL $eq_no = 1 i = 4
> array_tmp10[4] := array_tmp9[4] + array_x1[4];
> #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5
> if ( not array_x2_set_initial[1,6]) then # if number 1
> if (4 <= glob_max_terms) then # if number 2
> temporary := array_tmp10[4] * expt(glob_h , (2)) * factorial_3(3,5);
> array_x2[6] := temporary;
> array_x2_higher[1,6] := temporary;
> temporary := temporary / glob_h * (5.0);
> array_x2_higher[2,5] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_x2_higher[3,4] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 5;
> #emit pre mult CONST FULL $eq_no = 2 i = 4
> array_tmp12[4] := array_const_4D0[1] * array_x2[4];
> #emit pre diff $eq_no = 2 i = 4 order_d = 1
> array_tmp13[4] := array_x2_higher[2,4];
> #emit pre mult CONST FULL $eq_no = 2 i = 4
> array_tmp14[4] := array_const_2D0[1] * array_tmp13[4];
> #emit pre sub FULL FULL $eq_no = 2 i = 4
> array_tmp15[4] := array_tmp12[4] - array_tmp14[4];
> #emit pre mult CONST FULL $eq_no = 2 i = 4
> array_tmp16[4] := array_const_2D0[1] * array_x1[4];
> #emit pre sub FULL FULL $eq_no = 2 i = 4
> array_tmp17[4] := array_tmp15[4] - array_tmp16[4];
> #emit pre assign xxx $eq_no = 2 i = 4 $min_hdrs = 5
> if ( not array_x1_set_initial[2,5]) then # if number 1
> if (4 <= glob_max_terms) then # if number 2
> temporary := array_tmp17[4] * expt(glob_h , (1)) * factorial_3(3,4);
> array_x1[5] := temporary;
> array_x1_higher[1,5] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_x1_higher[2,4] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 5;
> #END ATOMHDR4
> #BEGIN ATOMHDR5
> #emit pre diff $eq_no = 1 i = 5 order_d = 1
> array_tmp1[5] := array_x2_higher[2,5];
> #emit pre mult CONST FULL $eq_no = 1 i = 5
> array_tmp2[5] := array_const_3D0[1] * array_tmp1[5];
> #emit pre add CONST FULL $eq_no = 1 i = 5
> array_tmp3[5] := array_tmp2[5];
> #emit pre mult CONST FULL $eq_no = 1 i = 5
> array_tmp4[5] := array_const_2D0[1] * array_x2[5];
> #emit pre sub FULL FULL $eq_no = 1 i = 5
> array_tmp5[5] := array_tmp3[5] - array_tmp4[5];
> #emit pre diff $eq_no = 1 i = 5 order_d = 2
> array_tmp6[5] := array_x1_higher[3,5];
> #emit pre sub FULL FULL $eq_no = 1 i = 5
> array_tmp7[5] := array_tmp5[5] - array_tmp6[5];
> #emit pre diff $eq_no = 1 i = 5 order_d = 1
> array_tmp8[5] := array_x1_higher[2,5];
> #emit pre sub FULL FULL $eq_no = 1 i = 5
> array_tmp9[5] := array_tmp7[5] - array_tmp8[5];
> #emit pre add FULL FULL $eq_no = 1 i = 5
> array_tmp10[5] := array_tmp9[5] + array_x1[5];
> #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5
> if ( not array_x2_set_initial[1,7]) then # if number 1
> if (5 <= glob_max_terms) then # if number 2
> temporary := array_tmp10[5] * expt(glob_h , (2)) * factorial_3(4,6);
> array_x2[7] := temporary;
> array_x2_higher[1,7] := temporary;
> temporary := temporary / glob_h * (6.0);
> array_x2_higher[2,6] := temporary;
> temporary := temporary / glob_h * (5.0);
> array_x2_higher[3,5] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 6;
> #emit pre mult CONST FULL $eq_no = 2 i = 5
> array_tmp12[5] := array_const_4D0[1] * array_x2[5];
> #emit pre diff $eq_no = 2 i = 5 order_d = 1
> array_tmp13[5] := array_x2_higher[2,5];
> #emit pre mult CONST FULL $eq_no = 2 i = 5
> array_tmp14[5] := array_const_2D0[1] * array_tmp13[5];
> #emit pre sub FULL FULL $eq_no = 2 i = 5
> array_tmp15[5] := array_tmp12[5] - array_tmp14[5];
> #emit pre mult CONST FULL $eq_no = 2 i = 5
> array_tmp16[5] := array_const_2D0[1] * array_x1[5];
> #emit pre sub FULL FULL $eq_no = 2 i = 5
> array_tmp17[5] := array_tmp15[5] - array_tmp16[5];
> #emit pre assign xxx $eq_no = 2 i = 5 $min_hdrs = 5
> if ( not array_x1_set_initial[2,6]) then # if number 1
> if (5 <= glob_max_terms) then # if number 2
> temporary := array_tmp17[5] * expt(glob_h , (1)) * factorial_3(4,5);
> array_x1[6] := temporary;
> array_x1_higher[1,6] := temporary;
> temporary := temporary / glob_h * (5.0);
> array_x1_higher[2,5] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 6;
> #END ATOMHDR5
> #BEGIN OUTFILE3
> #Top Atomall While Loop-- outfile3
> while (kkk <= glob_max_terms) do # do number 1
> #END OUTFILE3
> #BEGIN OUTFILE4
> #emit diff $eq_no = 1
> array_tmp1[kkk] := array_x2_higher[2,kkk];
> #emit mult CONST FULL $eq_no = 1 i = 1
> array_tmp2[kkk] := array_const_3D0[1] * array_tmp1[kkk];
> #emit NOT FULL - FULL add $eq_no = 1
> array_tmp3[kkk] := array_tmp2[kkk];
> #emit mult CONST FULL $eq_no = 1 i = 1
> array_tmp4[kkk] := array_const_2D0[1] * array_x2[kkk];
> #emit FULL - FULL sub $eq_no = 1
> array_tmp5[kkk] := array_tmp3[kkk] - array_tmp4[kkk];
> #emit diff $eq_no = 1
> array_tmp6[kkk] := array_x1_higher[3,kkk];
> #emit FULL - FULL sub $eq_no = 1
> array_tmp7[kkk] := array_tmp5[kkk] - array_tmp6[kkk];
> #emit diff $eq_no = 1
> array_tmp8[kkk] := array_x1_higher[2,kkk];
> #emit FULL - FULL sub $eq_no = 1
> array_tmp9[kkk] := array_tmp7[kkk] - array_tmp8[kkk];
> #emit FULL - FULL add $eq_no = 1
> array_tmp10[kkk] := array_tmp9[kkk] + array_x1[kkk];
> #emit assign $eq_no = 1
> order_d := 2;
> if (kkk + order_d + 1 <= glob_max_terms) then # if number 1
> if ( not array_x2_set_initial[1,kkk + order_d]) then # if number 2
> temporary := array_tmp10[kkk] * expt(glob_h , (order_d)) * factorial_3((kkk - 1),(kkk + order_d - 1));
> array_x2[kkk + order_d] := temporary;
> array_x2_higher[1,kkk + order_d] := temporary;
> term := kkk + order_d - 1;
> adj2 := kkk + order_d - 1;
> adj3 := 2;
> while (term >= 1) do # do number 2
> if (adj3 <= order_d + 1) then # if number 3
> if (adj2 > 0) then # if number 4
> temporary := temporary / glob_h * convfp(adj2);
> else
> temporary := temporary;
> fi;# end if 4;
> array_x2_higher[adj3,term] := temporary;
> fi;# end if 3;
> term := term - 1;
> adj2 := adj2 - 1;
> adj3 := adj3 + 1;
> od;# end do number 2
> fi;# end if 2
> fi;# end if 1;
> #emit mult CONST FULL $eq_no = 2 i = 1
> array_tmp12[kkk] := array_const_4D0[1] * array_x2[kkk];
> #emit diff $eq_no = 2
> array_tmp13[kkk] := array_x2_higher[2,kkk];
> #emit mult CONST FULL $eq_no = 2 i = 1
> array_tmp14[kkk] := array_const_2D0[1] * array_tmp13[kkk];
> #emit FULL - FULL sub $eq_no = 2
> array_tmp15[kkk] := array_tmp12[kkk] - array_tmp14[kkk];
> #emit mult CONST FULL $eq_no = 2 i = 1
> array_tmp16[kkk] := array_const_2D0[1] * array_x1[kkk];
> #emit FULL - FULL sub $eq_no = 2
> array_tmp17[kkk] := array_tmp15[kkk] - array_tmp16[kkk];
> #emit assign $eq_no = 2
> order_d := 1;
> if (kkk + order_d + 1 <= glob_max_terms) then # if number 1
> if ( not array_x1_set_initial[2,kkk + order_d]) then # if number 2
> temporary := array_tmp17[kkk] * expt(glob_h , (order_d)) * factorial_3((kkk - 1),(kkk + order_d - 1));
> array_x1[kkk + order_d] := temporary;
> array_x1_higher[1,kkk + order_d] := temporary;
> term := kkk + order_d - 1;
> adj2 := kkk + order_d - 1;
> adj3 := 2;
> while (term >= 1) do # do number 2
> if (adj3 <= order_d + 1) then # if number 3
> if (adj2 > 0) then # if number 4
> temporary := temporary / glob_h * convfp(adj2);
> else
> temporary := temporary;
> fi;# end if 4;
> array_x1_higher[adj3,term] := temporary;
> fi;# end if 3;
> term := term - 1;
> adj2 := adj2 - 1;
> adj3 := adj3 + 1;
> od;# end do number 2
> fi;# end if 2
> fi;# end if 1;
> kkk := kkk + 1;
> od;# end do number 1;
> #BOTTOM ATOMALL
> #END OUTFILE4
> #BEGIN OUTFILE5
> #BOTTOM ATOMALL ???
> end;
atomall := proc()
local kkk, order_d, adj2, adj3, temporary, term;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_2,
array_const_0D0, array_const_3D0, array_const_1, array_const_2D0,
array_const_4D0, array_x2_init, array_x1_init, array_norms, array_fact_1,
array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole,
array_x2, array_t, array_x1, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9,
array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14,
array_tmp15, array_tmp16, array_tmp17, array_m1, array_x2_higher,
array_x2_higher_work, array_x2_higher_work2, array_x2_set_initial,
array_x1_higher, array_x1_higher_work, array_x1_higher_work2,
array_x1_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
array_tmp1[1] := array_x2_higher[2, 1];
array_tmp2[1] := array_const_3D0[1]*array_tmp1[1];
array_tmp3[1] := array_const_0D0[1] + array_tmp2[1];
array_tmp4[1] := array_const_2D0[1]*array_x2[1];
array_tmp5[1] := array_tmp3[1] - array_tmp4[1];
array_tmp6[1] := array_x1_higher[3, 1];
array_tmp7[1] := array_tmp5[1] - array_tmp6[1];
array_tmp8[1] := array_x1_higher[2, 1];
array_tmp9[1] := array_tmp7[1] - array_tmp8[1];
array_tmp10[1] := array_tmp9[1] + array_x1[1];
if not array_x2_set_initial[1, 3] then
if 1 <= glob_max_terms then
temporary := array_tmp10[1]*expt(glob_h, 2)*factorial_3(0, 2);
array_x2[3] := temporary;
array_x2_higher[1, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_x2_higher[2, 2] := temporary;
temporary := temporary*1.0/glob_h;
array_x2_higher[3, 1] := temporary
end if
end if;
kkk := 2;
array_tmp12[1] := array_const_4D0[1]*array_x2[1];
array_tmp13[1] := array_x2_higher[2, 1];
array_tmp14[1] := array_const_2D0[1]*array_tmp13[1];
array_tmp15[1] := array_tmp12[1] - array_tmp14[1];
array_tmp16[1] := array_const_2D0[1]*array_x1[1];
array_tmp17[1] := array_tmp15[1] - array_tmp16[1];
if not array_x1_set_initial[2, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp17[1]*expt(glob_h, 1)*factorial_3(0, 1);
array_x1[2] := temporary;
array_x1_higher[1, 2] := temporary;
temporary := temporary*1.0/glob_h;
array_x1_higher[2, 1] := temporary
end if
end if;
kkk := 2;
array_tmp1[2] := array_x2_higher[2, 2];
array_tmp2[2] := array_const_3D0[1]*array_tmp1[2];
array_tmp3[2] := array_tmp2[2];
array_tmp4[2] := array_const_2D0[1]*array_x2[2];
array_tmp5[2] := array_tmp3[2] - array_tmp4[2];
array_tmp6[2] := array_x1_higher[3, 2];
array_tmp7[2] := array_tmp5[2] - array_tmp6[2];
array_tmp8[2] := array_x1_higher[2, 2];
array_tmp9[2] := array_tmp7[2] - array_tmp8[2];
array_tmp10[2] := array_tmp9[2] + array_x1[2];
if not array_x2_set_initial[1, 4] then
if 2 <= glob_max_terms then
temporary := array_tmp10[2]*expt(glob_h, 2)*factorial_3(1, 3);
array_x2[4] := temporary;
array_x2_higher[1, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_x2_higher[2, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_x2_higher[3, 2] := temporary
end if
end if;
kkk := 3;
array_tmp12[2] := array_const_4D0[1]*array_x2[2];
array_tmp13[2] := array_x2_higher[2, 2];
array_tmp14[2] := array_const_2D0[1]*array_tmp13[2];
array_tmp15[2] := array_tmp12[2] - array_tmp14[2];
array_tmp16[2] := array_const_2D0[1]*array_x1[2];
array_tmp17[2] := array_tmp15[2] - array_tmp16[2];
if not array_x1_set_initial[2, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp17[2]*expt(glob_h, 1)*factorial_3(1, 2);
array_x1[3] := temporary;
array_x1_higher[1, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_x1_higher[2, 2] := temporary
end if
end if;
kkk := 3;
array_tmp1[3] := array_x2_higher[2, 3];
array_tmp2[3] := array_const_3D0[1]*array_tmp1[3];
array_tmp3[3] := array_tmp2[3];
array_tmp4[3] := array_const_2D0[1]*array_x2[3];
array_tmp5[3] := array_tmp3[3] - array_tmp4[3];
array_tmp6[3] := array_x1_higher[3, 3];
array_tmp7[3] := array_tmp5[3] - array_tmp6[3];
array_tmp8[3] := array_x1_higher[2, 3];
array_tmp9[3] := array_tmp7[3] - array_tmp8[3];
array_tmp10[3] := array_tmp9[3] + array_x1[3];
if not array_x2_set_initial[1, 5] then
if 3 <= glob_max_terms then
temporary := array_tmp10[3]*expt(glob_h, 2)*factorial_3(2, 4);
array_x2[5] := temporary;
array_x2_higher[1, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_x2_higher[2, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_x2_higher[3, 3] := temporary
end if
end if;
kkk := 4;
array_tmp12[3] := array_const_4D0[1]*array_x2[3];
array_tmp13[3] := array_x2_higher[2, 3];
array_tmp14[3] := array_const_2D0[1]*array_tmp13[3];
array_tmp15[3] := array_tmp12[3] - array_tmp14[3];
array_tmp16[3] := array_const_2D0[1]*array_x1[3];
array_tmp17[3] := array_tmp15[3] - array_tmp16[3];
if not array_x1_set_initial[2, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp17[3]*expt(glob_h, 1)*factorial_3(2, 3);
array_x1[4] := temporary;
array_x1_higher[1, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_x1_higher[2, 3] := temporary
end if
end if;
kkk := 4;
array_tmp1[4] := array_x2_higher[2, 4];
array_tmp2[4] := array_const_3D0[1]*array_tmp1[4];
array_tmp3[4] := array_tmp2[4];
array_tmp4[4] := array_const_2D0[1]*array_x2[4];
array_tmp5[4] := array_tmp3[4] - array_tmp4[4];
array_tmp6[4] := array_x1_higher[3, 4];
array_tmp7[4] := array_tmp5[4] - array_tmp6[4];
array_tmp8[4] := array_x1_higher[2, 4];
array_tmp9[4] := array_tmp7[4] - array_tmp8[4];
array_tmp10[4] := array_tmp9[4] + array_x1[4];
if not array_x2_set_initial[1, 6] then
if 4 <= glob_max_terms then
temporary := array_tmp10[4]*expt(glob_h, 2)*factorial_3(3, 5);
array_x2[6] := temporary;
array_x2_higher[1, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_x2_higher[2, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_x2_higher[3, 4] := temporary
end if
end if;
kkk := 5;
array_tmp12[4] := array_const_4D0[1]*array_x2[4];
array_tmp13[4] := array_x2_higher[2, 4];
array_tmp14[4] := array_const_2D0[1]*array_tmp13[4];
array_tmp15[4] := array_tmp12[4] - array_tmp14[4];
array_tmp16[4] := array_const_2D0[1]*array_x1[4];
array_tmp17[4] := array_tmp15[4] - array_tmp16[4];
if not array_x1_set_initial[2, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp17[4]*expt(glob_h, 1)*factorial_3(3, 4);
array_x1[5] := temporary;
array_x1_higher[1, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_x1_higher[2, 4] := temporary
end if
end if;
kkk := 5;
array_tmp1[5] := array_x2_higher[2, 5];
array_tmp2[5] := array_const_3D0[1]*array_tmp1[5];
array_tmp3[5] := array_tmp2[5];
array_tmp4[5] := array_const_2D0[1]*array_x2[5];
array_tmp5[5] := array_tmp3[5] - array_tmp4[5];
array_tmp6[5] := array_x1_higher[3, 5];
array_tmp7[5] := array_tmp5[5] - array_tmp6[5];
array_tmp8[5] := array_x1_higher[2, 5];
array_tmp9[5] := array_tmp7[5] - array_tmp8[5];
array_tmp10[5] := array_tmp9[5] + array_x1[5];
if not array_x2_set_initial[1, 7] then
if 5 <= glob_max_terms then
temporary := array_tmp10[5]*expt(glob_h, 2)*factorial_3(4, 6);
array_x2[7] := temporary;
array_x2_higher[1, 7] := temporary;
temporary := temporary*6.0/glob_h;
array_x2_higher[2, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_x2_higher[3, 5] := temporary
end if
end if;
kkk := 6;
array_tmp12[5] := array_const_4D0[1]*array_x2[5];
array_tmp13[5] := array_x2_higher[2, 5];
array_tmp14[5] := array_const_2D0[1]*array_tmp13[5];
array_tmp15[5] := array_tmp12[5] - array_tmp14[5];
array_tmp16[5] := array_const_2D0[1]*array_x1[5];
array_tmp17[5] := array_tmp15[5] - array_tmp16[5];
if not array_x1_set_initial[2, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp17[5]*expt(glob_h, 1)*factorial_3(4, 5);
array_x1[6] := temporary;
array_x1_higher[1, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_x1_higher[2, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp1[kkk] := array_x2_higher[2, kkk];
array_tmp2[kkk] := array_const_3D0[1]*array_tmp1[kkk];
array_tmp3[kkk] := array_tmp2[kkk];
array_tmp4[kkk] := array_const_2D0[1]*array_x2[kkk];
array_tmp5[kkk] := array_tmp3[kkk] - array_tmp4[kkk];
array_tmp6[kkk] := array_x1_higher[3, kkk];
array_tmp7[kkk] := array_tmp5[kkk] - array_tmp6[kkk];
array_tmp8[kkk] := array_x1_higher[2, kkk];
array_tmp9[kkk] := array_tmp7[kkk] - array_tmp8[kkk];
array_tmp10[kkk] := array_tmp9[kkk] + array_x1[kkk];
order_d := 2;
if kkk + order_d + 1 <= glob_max_terms then
if not array_x2_set_initial[1, kkk + order_d] then
temporary := array_tmp10[kkk]*expt(glob_h, order_d)*
factorial_3(kkk - 1, kkk + order_d - 1);
array_x2[kkk + order_d] := temporary;
array_x2_higher[1, kkk + order_d] := temporary;
term := kkk + order_d - 1;
adj2 := kkk + order_d - 1;
adj3 := 2;
while 1 <= term do
if adj3 <= order_d + 1 then
if 0 < adj2 then
temporary := temporary*convfp(adj2)/glob_h
else temporary := temporary
end if;
array_x2_higher[adj3, term] := temporary
end if;
term := term - 1;
adj2 := adj2 - 1;
adj3 := adj3 + 1
end do
end if
end if;
array_tmp12[kkk] := array_const_4D0[1]*array_x2[kkk];
array_tmp13[kkk] := array_x2_higher[2, kkk];
array_tmp14[kkk] := array_const_2D0[1]*array_tmp13[kkk];
array_tmp15[kkk] := array_tmp12[kkk] - array_tmp14[kkk];
array_tmp16[kkk] := array_const_2D0[1]*array_x1[kkk];
array_tmp17[kkk] := array_tmp15[kkk] - array_tmp16[kkk];
order_d := 1;
if kkk + order_d + 1 <= glob_max_terms then
if not array_x1_set_initial[2, kkk + order_d] then
temporary := array_tmp17[kkk]*expt(glob_h, order_d)*
factorial_3(kkk - 1, kkk + order_d - 1);
array_x1[kkk + order_d] := temporary;
array_x1_higher[1, kkk + order_d] := temporary;
term := kkk + order_d - 1;
adj2 := kkk + order_d - 1;
adj3 := 2;
while 1 <= term do
if adj3 <= order_d + 1 then
if 0 < adj2 then
temporary := temporary*convfp(adj2)/glob_h
else temporary := temporary
end if;
array_x1_higher[adj3, term] := temporary
end if;
term := term - 1;
adj2 := adj2 - 1;
adj3 := adj3 + 1
end do
end if
end if;
kkk := kkk + 1
end do
end proc
> # End Function number 12
> #BEGIN ATS LIBRARY BLOCK
> # Begin Function number 2
> omniout_str := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s\n",str);
> fi;# end if 1;
> end;
omniout_str := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s\n", str) end if
end proc
> # End Function number 2
> # Begin Function number 3
> omniout_str_noeol := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s",str);
> fi;# end if 1;
> end;
omniout_str_noeol := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s", str) end if
end proc
> # End Function number 3
> # Begin Function number 4
> omniout_labstr := proc(iolevel,label,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> print(label,str);
> fi;# end if 1;
> end;
omniout_labstr := proc(iolevel, label, str)
global glob_iolevel;
if iolevel <= glob_iolevel then print(label, str) end if
end proc
> # End Function number 4
> # Begin Function number 5
> omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> if vallen = 4 then
> printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel);
> else
> printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> end;
omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 4 then
printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel)
else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel)
end if
end if
end proc
> # End Function number 5
> # Begin Function number 6
> omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> if vallen = 5 then # if number 1
> printf("%-30s = %-32d %s\n",prelabel,value, postlabel);
> else
> printf("%-30s = %-32d %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> end;
omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 5 then
printf("%-30s = %-32d %s\n", prelabel, value, postlabel)
else printf("%-30s = %-32d %s \n", prelabel, value, postlabel)
end if
end if
end proc
> # End Function number 6
> # Begin Function number 7
> omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> print(prelabel,"[",elemnt,"]",value, postlabel);
> fi;# end if 0;
> end;
omniout_float_arr := proc(
iolevel, prelabel, elemnt, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
print(prelabel, "[", elemnt, "]", value, postlabel)
end if
end proc
> # End Function number 7
> # Begin Function number 8
> dump_series := proc(iolevel,dump_label,series_name,arr_series,numb)
> global glob_iolevel;
> local i;
> if (glob_iolevel >= iolevel) then # if number 0
> i := 1;
> while (i <= numb) do # do number 1
> print(dump_label,series_name
> ,i,arr_series[i]);
> i := i + 1;
> od;# end do number 1
> fi;# end if 0
> end;
dump_series := proc(iolevel, dump_label, series_name, arr_series, numb)
local i;
global glob_iolevel;
if iolevel <= glob_iolevel then
i := 1;
while i <= numb do
print(dump_label, series_name, i, arr_series[i]); i := i + 1
end do
end if
end proc
> # End Function number 8
> # Begin Function number 9
> dump_series_2 := proc(iolevel,dump_label,series_name2,arr_series2,numb,subnum,arr_x)
> global glob_iolevel;
> local i,sub,ts_term;
> if (glob_iolevel >= iolevel) then # if number 0
> sub := 1;
> while (sub <= subnum) do # do number 1
> i := 1;
> while (i <= numb) do # do number 2
> print(dump_label,series_name2,sub,i,arr_series2[sub,i]);
> od;# end do number 2;
> sub := sub + 1;
> od;# end do number 1;
> fi;# end if 0;
> end;
dump_series_2 := proc(
iolevel, dump_label, series_name2, arr_series2, numb, subnum, arr_x)
local i, sub, ts_term;
global glob_iolevel;
if iolevel <= glob_iolevel then
sub := 1;
while sub <= subnum do
i := 1;
while i <= numb do print(dump_label, series_name2, sub, i,
arr_series2[sub, i])
end do;
sub := sub + 1
end do
end if
end proc
> # End Function number 9
> # Begin Function number 10
> cs_info := proc(iolevel,str)
> global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h;
> if (glob_iolevel >= iolevel) then # if number 0
> print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h)
> fi;# end if 0;
> end;
cs_info := proc(iolevel, str)
global
glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h;
if iolevel <= glob_iolevel then print("cs_info ", str,
" glob_correct_start_flag = ", glob_correct_start_flag,
"glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h)
end if
end proc
> # End Function number 10
> # Begin Function number 11
> logitem_time := proc(fd,secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> fprintf(fd,"
");
> if (secs_in >= 0) then # if number 0
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 1
> fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int);
> elif
> (days_int > 0) then # if number 2
> fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int);
> elif
> (hours_int > 0) then # if number 3
> fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 4
> fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int);
> else
> fprintf(fd,"%d Seconds",sec_int);
> fi;# end if 4
> else
> fprintf(fd," Unknown");
> fi;# end if 3
> fprintf(fd," | \n");
> end;
logitem_time := proc(fd, secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
fprintf(fd, "");
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 0 < years_int then fprintf(fd,
"%d Years %d Days %d Hours %d Minutes %d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then fprintf(fd,
"%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int,
minutes_int, sec_int)
elif 0 < hours_int then fprintf(fd,
"%d Hours %d Minutes %d Seconds", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int)
else fprintf(fd, "%d Seconds", sec_int)
end if
else fprintf(fd, " Unknown")
end if;
fprintf(fd, " | \n")
end proc
> # End Function number 11
> # Begin Function number 12
> omniout_timestr := proc(secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> if (secs_in >= 0) then # if number 3
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 4
> printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int);
> elif
> (days_int > 0) then # if number 5
> printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int);
> elif
> (hours_int > 0) then # if number 6
> printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 7
> printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int);
> else
> printf(" = %d Seconds\n",sec_int);
> fi;# end if 7
> else
> printf(" Unknown\n");
> fi;# end if 6
> end;
omniout_timestr := proc(secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 0 < years_int then printf(
" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",
years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then printf(
" = %d Days %d Hours %d Minutes %d Seconds\n", days_int,
hours_int, minutes_int, sec_int)
elif 0 < hours_int then printf(
" = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int)
else printf(" = %d Seconds\n", sec_int)
end if
else printf(" Unknown\n")
end if
end proc
> # End Function number 12
> # Begin Function number 13
> ats := proc(mmm_ats,arr_a,arr_b,jjj_ats)
> local iii_ats, lll_ats,ma_ats, ret_ats;
> ret_ats := 0.0;
> if (jjj_ats <= mmm_ats) then # if number 6
> ma_ats := mmm_ats + 1;
> iii_ats := jjj_ats;
> while (iii_ats <= mmm_ats) do # do number 1
> lll_ats := ma_ats - iii_ats;
> ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats];
> iii_ats := iii_ats + 1;
> od;# end do number 1
> fi;# end if 6;
> ret_ats;
> end;
ats := proc(mmm_ats, arr_a, arr_b, jjj_ats)
local iii_ats, lll_ats, ma_ats, ret_ats;
ret_ats := 0.;
if jjj_ats <= mmm_ats then
ma_ats := mmm_ats + 1;
iii_ats := jjj_ats;
while iii_ats <= mmm_ats do
lll_ats := ma_ats - iii_ats;
ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats];
iii_ats := iii_ats + 1
end do
end if;
ret_ats
end proc
> # End Function number 13
> # Begin Function number 14
> att := proc(mmm_att,arr_aa,arr_bb,jjj_att)
> global glob_max_terms;
> local al_att, iii_att,lll_att, ma_att, ret_att;
> ret_att := 0.0;
> if (jjj_att <= mmm_att) then # if number 6
> ma_att := mmm_att + 2;
> iii_att := jjj_att;
> while (iii_att <= mmm_att) do # do number 1
> lll_att := ma_att - iii_att;
> al_att := (lll_att - 1);
> if (lll_att <= glob_max_terms) then # if number 7
> ret_att := ret_att + arr_aa[iii_att]*arr_bb[lll_att]* convfp(al_att);
> fi;# end if 7;
> iii_att := iii_att + 1;
> od;# end do number 1;
> ret_att := ret_att / convfp(mmm_att) ;
> fi;# end if 6;
> ret_att;
> end;
att := proc(mmm_att, arr_aa, arr_bb, jjj_att)
local al_att, iii_att, lll_att, ma_att, ret_att;
global glob_max_terms;
ret_att := 0.;
if jjj_att <= mmm_att then
ma_att := mmm_att + 2;
iii_att := jjj_att;
while iii_att <= mmm_att do
lll_att := ma_att - iii_att;
al_att := lll_att - 1;
if lll_att <= glob_max_terms then ret_att :=
ret_att + arr_aa[iii_att]*arr_bb[lll_att]*convfp(al_att)
end if;
iii_att := iii_att + 1
end do;
ret_att := ret_att/convfp(mmm_att)
end if;
ret_att
end proc
> # End Function number 14
> # Begin Function number 15
> display_pole_debug := proc(typ,radius,order2)
> global ALWAYS,glob_display_flag, glob_large_float, array_pole;
> if (typ = 1) then # if number 6
> omniout_str(ALWAYS,"Real");
> else
> omniout_str(ALWAYS,"Complex");
> fi;# end if 6;
> omniout_float(ALWAYS,"DBG Radius of convergence ",4, radius,4," ");
> omniout_float(ALWAYS,"DBG Order of pole ",4, order2,4," ");
> end;
display_pole_debug := proc(typ, radius, order2)
global ALWAYS, glob_display_flag, glob_large_float, array_pole;
if typ = 1 then omniout_str(ALWAYS, "Real")
else omniout_str(ALWAYS, "Complex")
end if;
omniout_float(ALWAYS, "DBG Radius of convergence ", 4, radius, 4,
" ");
omniout_float(ALWAYS, "DBG Order of pole ", 4, order2, 4,
" ")
end proc
> # End Function number 15
> # Begin Function number 16
> display_pole := proc()
> global ALWAYS,glob_display_flag, glob_large_float, array_pole;
> if ((array_pole[1] <> glob_large_float) and (array_pole[1] > 0.0) and (array_pole[2] <> glob_large_float) and (array_pole[2]> 0.0) and glob_display_flag) then # if number 6
> omniout_float(ALWAYS,"Radius of convergence ",4, array_pole[1],4," ");
> omniout_float(ALWAYS,"Order of pole ",4, array_pole[2],4," ");
> fi;# end if 6
> end;
display_pole := proc()
global ALWAYS, glob_display_flag, glob_large_float, array_pole;
if array_pole[1] <> glob_large_float and 0. < array_pole[1] and
array_pole[2] <> glob_large_float and 0. < array_pole[2] and
glob_display_flag then
omniout_float(ALWAYS, "Radius of convergence ", 4,
array_pole[1], 4, " ");
omniout_float(ALWAYS, "Order of pole ", 4,
array_pole[2], 4, " ")
end if
end proc
> # End Function number 16
> # Begin Function number 17
> logditto := proc(file)
> fprintf(file,"");
> fprintf(file,"ditto");
> fprintf(file," | ");
> end;
logditto := proc(file)
fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, " | ")
end proc
> # End Function number 17
> # Begin Function number 18
> logitem_integer := proc(file,n)
> fprintf(file,"");
> fprintf(file,"%d",n);
> fprintf(file," | ");
> end;
logitem_integer := proc(file, n)
fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, " | ")
end proc
> # End Function number 18
> # Begin Function number 19
> logitem_str := proc(file,str)
> fprintf(file,"");
> fprintf(file,str);
> fprintf(file," | ");
> end;
logitem_str := proc(file, str)
fprintf(file, ""); fprintf(file, str); fprintf(file, " | ")
end proc
> # End Function number 19
> # Begin Function number 20
> logitem_good_digits := proc(file,rel_error)
> global glob_small_float;
> local good_digits;
> fprintf(file,"");
> if (rel_error <> -1.0) then # if number 6
> if (rel_error > + 0.0000000000000000000000000000000001) then # if number 7
> good_digits := 1-trunc(log10(rel_error));
> fprintf(file,"%d",good_digits);
> else
> good_digits := Digits;
> fprintf(file,"%d",good_digits);
> fi;# end if 7;
> else
> fprintf(file,"Unknown");
> fi;# end if 6;
> fprintf(file," | ");
> end;
logitem_good_digits := proc(file, rel_error)
local good_digits;
global glob_small_float;
fprintf(file, "");
if rel_error <> -1.0 then
if 0.1*10^(-33) < rel_error then
good_digits := 1 - trunc(log10(rel_error));
fprintf(file, "%d", good_digits)
else good_digits := Digits; fprintf(file, "%d", good_digits)
end if
else fprintf(file, "Unknown")
end if;
fprintf(file, " | ")
end proc
> # End Function number 20
> # Begin Function number 21
> log_revs := proc(file,revs)
> fprintf(file,revs);
> end;
log_revs := proc(file, revs) fprintf(file, revs) end proc
> # End Function number 21
> # Begin Function number 22
> logitem_float := proc(file,x)
> fprintf(file,"");
> fprintf(file,"%g",x);
> fprintf(file," | ");
> end;
logitem_float := proc(file, x)
fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, " | ")
end proc
> # End Function number 22
> # Begin Function number 23
> logitem_pole := proc(file,pole)
> fprintf(file,"");
> if (pole = 0) then # if number 6
> fprintf(file,"NA");
> elif
> (pole = 1) then # if number 7
> fprintf(file,"Real");
> elif
> (pole = 2) then # if number 8
> fprintf(file,"Complex");
> else
> fprintf(file,"No Pole");
> fi;# end if 8
> fprintf(file," | ");
> end;
logitem_pole := proc(file, pole)
fprintf(file, "");
if pole = 0 then fprintf(file, "NA")
elif pole = 1 then fprintf(file, "Real")
elif pole = 2 then fprintf(file, "Complex")
else fprintf(file, "No Pole")
end if;
fprintf(file, " | ")
end proc
> # End Function number 23
> # Begin Function number 24
> logstart := proc(file)
> fprintf(file,"");
> end;
logstart := proc(file) fprintf(file, "
") end proc
> # End Function number 24
> # Begin Function number 25
> logend := proc(file)
> fprintf(file,"
\n");
> end;
logend := proc(file) fprintf(file, "\n") end proc
> # End Function number 25
> # Begin Function number 26
> chk_data := proc()
> global glob_max_iter,ALWAYS, glob_max_terms;
> local errflag;
> errflag := false;
> if ((glob_max_terms < 15) or (glob_max_terms > 512)) then # if number 8
> omniout_str(ALWAYS,"Illegal max_terms = -- Using 30");
> glob_max_terms := 30;
> fi;# end if 8;
> if (glob_max_iter < 2) then # if number 8
> omniout_str(ALWAYS,"Illegal max_iter");
> errflag := true;
> fi;# end if 8;
> if (errflag) then # if number 8
> quit;
> fi;# end if 8
> end;
chk_data := proc()
local errflag;
global glob_max_iter, ALWAYS, glob_max_terms;
errflag := false;
if glob_max_terms < 15 or 512 < glob_max_terms then
omniout_str(ALWAYS, "Illegal max_terms = -- Using 30");
glob_max_terms := 30
end if;
if glob_max_iter < 2 then
omniout_str(ALWAYS, "Illegal max_iter"); errflag := true
end if;
if errflag then quit end if
end proc
> # End Function number 26
> # Begin Function number 27
> comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec2)
> global glob_small_float;
> local ms2, rrr, sec_left, sub1, sub2;
> ;
> ms2 := clock_sec2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub1 = 0.0) then # if number 8
> sec_left := 0.0;
> else
> if (sub2 > 0.0) then # if number 9
> rrr := (sub1/sub2);
> sec_left := rrr * ms2 - ms2;
> else
> sec_left := 0.0;
> fi;# end if 9
> fi;# end if 8;
> sec_left;
> end;
comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec2)
local ms2, rrr, sec_left, sub1, sub2;
global glob_small_float;
ms2 := clock_sec2;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if sub1 = 0. then sec_left := 0.
else
if 0. < sub2 then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2
else sec_left := 0.
end if
end if;
sec_left
end proc
> # End Function number 27
> # Begin Function number 28
> comp_percent := proc(t_end2,t_start2, t2)
> global glob_small_float;
> local rrr, sub1, sub2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub2 > glob_small_float) then # if number 8
> rrr := (100.0*sub2)/sub1;
> else
> rrr := 0.0;
> fi;# end if 8;
> rrr;
> end;
comp_percent := proc(t_end2, t_start2, t2)
local rrr, sub1, sub2;
global glob_small_float;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if glob_small_float < sub2 then rrr := 100.0*sub2/sub1
else rrr := 0.
end if;
rrr
end proc
> # End Function number 28
> # Begin Function number 29
> factorial_2 := proc(nnn)
> nnn!;
> end;
factorial_2 := proc(nnn) nnn! end proc
> # End Function number 29
> # Begin Function number 30
> factorial_1 := proc(nnn)
> global glob_max_terms,array_fact_1;
> local ret;
> if (nnn <= glob_max_terms) then # if number 8
> if (array_fact_1[nnn] = 0) then # if number 9
> ret := factorial_2(nnn);
> array_fact_1[nnn] := ret;
> else
> ret := array_fact_1[nnn];
> fi;# end if 9;
> else
> ret := factorial_2(nnn);
> fi;# end if 8;
> ret;
> end;
factorial_1 := proc(nnn)
local ret;
global glob_max_terms, array_fact_1;
if nnn <= glob_max_terms then
if array_fact_1[nnn] = 0 then
ret := factorial_2(nnn); array_fact_1[nnn] := ret
else ret := array_fact_1[nnn]
end if
else ret := factorial_2(nnn)
end if;
ret
end proc
> # End Function number 30
> # Begin Function number 31
> factorial_3 := proc(mmm,nnn)
> global glob_max_terms,array_fact_2;
> local ret;
> if ((nnn <= glob_max_terms) and (mmm <= glob_max_terms)) then # if number 8
> if (array_fact_2[mmm,nnn] = 0) then # if number 9
> ret := factorial_1(mmm)/factorial_1(nnn);
> array_fact_2[mmm,nnn] := ret;
> else
> ret := array_fact_2[mmm,nnn];
> fi;# end if 9;
> else
> ret := factorial_2(mmm)/factorial_2(nnn);
> fi;# end if 8;
> ret;
> end;
factorial_3 := proc(mmm, nnn)
local ret;
global glob_max_terms, array_fact_2;
if nnn <= glob_max_terms and mmm <= glob_max_terms then
if array_fact_2[mmm, nnn] = 0 then
ret := factorial_1(mmm)/factorial_1(nnn);
array_fact_2[mmm, nnn] := ret
else ret := array_fact_2[mmm, nnn]
end if
else ret := factorial_2(mmm)/factorial_2(nnn)
end if;
ret
end proc
> # End Function number 31
> # Begin Function number 32
> convfp := proc(mmm)
> (mmm);
> end;
convfp := proc(mmm) mmm end proc
> # End Function number 32
> # Begin Function number 33
> convfloat := proc(mmm)
> (mmm);
> end;
convfloat := proc(mmm) mmm end proc
> # End Function number 33
> # Begin Function number 34
> elapsed_time_seconds := proc()
> time();
> end;
elapsed_time_seconds := proc() time() end proc
> # End Function number 34
> # Begin Function number 35
> omniabs := proc(x)
> abs(x);
> end;
omniabs := proc(x) abs(x) end proc
> # End Function number 35
> # Begin Function number 36
> expt := proc(x,y)
> (x^y);
> end;
expt := proc(x, y) x^y end proc
> # End Function number 36
> # Begin Function number 37
> estimated_needed_step_error := proc(x_start,x_end,estimated_h,estimated_answer)
> local desired_abs_gbl_error,range,estimated_steps,step_error;
> global glob_desired_digits_correct,ALWAYS;
> omniout_float(ALWAYS,"glob_desired_digits_correct",32,glob_desired_digits_correct,32,"");
> desired_abs_gbl_error := expt(10.0,- glob_desired_digits_correct) * omniabs(estimated_answer);
> omniout_float(ALWAYS,"desired_abs_gbl_error",32,desired_abs_gbl_error,32,"");
> range := (x_end - x_start);
> omniout_float(ALWAYS,"range",32,range,32,"");
> estimated_steps := range / estimated_h;
> omniout_float(ALWAYS,"estimated_steps",32,estimated_steps,32,"");
> step_error := omniabs(desired_abs_gbl_error / estimated_steps);
> omniout_float(ALWAYS,"step_error",32,step_error,32,"");
> (step_error);;
> end;
estimated_needed_step_error := proc(
x_start, x_end, estimated_h, estimated_answer)
local desired_abs_gbl_error, range, estimated_steps, step_error;
global glob_desired_digits_correct, ALWAYS;
omniout_float(ALWAYS, "glob_desired_digits_correct", 32,
glob_desired_digits_correct, 32, "");
desired_abs_gbl_error :=
expt(10.0, -glob_desired_digits_correct)*omniabs(estimated_answer);
omniout_float(ALWAYS, "desired_abs_gbl_error", 32,
desired_abs_gbl_error, 32, "");
range := x_end - x_start;
omniout_float(ALWAYS, "range", 32, range, 32, "");
estimated_steps := range/estimated_h;
omniout_float(ALWAYS, "estimated_steps", 32, estimated_steps, 32, "");
step_error := omniabs(desired_abs_gbl_error/estimated_steps);
omniout_float(ALWAYS, "step_error", 32, step_error, 32, "");
step_error
end proc
> # End Function number 37
> #END ATS LIBRARY BLOCK
> #BEGIN USER DEF BLOCK
> #BEGIN USER DEF BLOCK
> exact_soln_x1 := proc(t)
> local c1,c2,c3;
> c1 := 1.0;
> c2 := 0.0002;
> c3 := 0.0003;
> return(2.0 * c1 + 6.0 * c3 * exp(-t));
> end;
exact_soln_x1 := proc(t)
local c1, c2, c3;
c1 := 1.0; c2 := 0.0002; c3 := 0.0003; return 2.0*c1 + 6.0*c3*exp(-t)
end proc
> exact_soln_x1p := proc(t)
> local c1,c2,c3;
> c1 := 1.0;
> c2 := 0.0002;
> c3 := 0.0003;
> return( - 6.0 * c3 * exp(-t));
> end;
exact_soln_x1p := proc(t)
local c1, c2, c3;
c1 := 1.0; c2 := 0.0002; c3 := 0.0003; return -6.0*c3*exp(-t)
end proc
> exact_soln_x2 := proc(t)
> local c1,c2,c3;
> c1 := 1.0;
> c2 := 0.0002;
> c3 := 0.0003;
> return(c1 + c2 * exp(2.0 * t) + c3 * exp(-t));
> end;
exact_soln_x2 := proc(t)
local c1, c2, c3;
c1 := 1.0;
c2 := 0.0002;
c3 := 0.0003;
return c1 + c2*exp(2.0*t) + c3*exp(-t)
end proc
> exact_soln_x2p := proc(t)
> local c1,c2,c3;
> c1 := 1.0;
> c2 := 0.0002;
> c3 := 0.0003;
> return( 2.0 * c2 * exp(2.0 * t) - c3 * exp(-t));
> end;
exact_soln_x2p := proc(t)
local c1, c2, c3;
c1 := 1.0;
c2 := 0.0002;
c3 := 0.0003;
return 2.0*c2*exp(2.0*t) - c3*exp(-t)
end proc
> #END USER DEF BLOCK
> #END USER DEF BLOCK
> #END OUTFILE5
> # Begin Function number 2
> main := proc()
> #BEGIN OUTFIEMAIN
> local d1,d2,d3,d4,est_err_2,niii,done_once,
> term,ord,order_diff,term_no,html_log_file,iiif,jjjf,
> rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter,
> t_start,t_end
> ,it, max_terms, opt_iter, tmp,subiter, est_needed_step_err,value3,min_value,est_answer,best_h,found_h,repeat_it;
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_2,
> array_const_0D0,
> array_const_3D0,
> array_const_1,
> array_const_2D0,
> array_const_4D0,
> #END CONST
> array_x2_init,
> array_x1_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_x2,
> array_t,
> array_x1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_tmp10,
> array_tmp11,
> array_tmp12,
> array_tmp13,
> array_tmp14,
> array_tmp15,
> array_tmp16,
> array_tmp17,
> array_m1,
> array_x2_higher,
> array_x2_higher_work,
> array_x2_higher_work2,
> array_x2_set_initial,
> array_x1_higher,
> array_x1_higher_work,
> array_x1_higher_work2,
> array_x1_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> glob_last;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> glob_iolevel := INFO;
> glob_max_terms := 30;
> glob_iolevel := 5;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> MAX_UNCHANGED := 10;
> glob_check_sign := 1.0;
> glob_desired_digits_correct := 8.0;
> glob_max_value3 := 0.0;
> glob_ratio_of_radius := 0.01;
> glob_percent_done := 0.0;
> glob_subiter_method := 3;
> glob_total_exp_sec := 0.1;
> glob_optimal_expect_sec := 0.1;
> glob_html_log := true;
> glob_good_digits := 0;
> glob_max_opt_iter := 10;
> glob_dump := false;
> glob_djd_debug := true;
> glob_display_flag := true;
> glob_djd_debug2 := true;
> glob_sec_in_minute := 60;
> glob_min_in_hour := 60;
> glob_hours_in_day := 24;
> glob_days_in_year := 365;
> glob_sec_in_hour := 3600;
> glob_sec_in_day := 86400;
> glob_sec_in_year := 31536000;
> glob_almost_1 := 0.9990;
> glob_clock_sec := 0.0;
> glob_clock_start_sec := 0.0;
> glob_not_yet_finished := true;
> glob_initial_pass := true;
> glob_not_yet_start_msg := true;
> glob_reached_optimal_h := false;
> glob_optimal_done := false;
> glob_disp_incr := 0.1;
> glob_h := 0.1;
> glob_max_h := 0.1;
> glob_large_float := 9.0e100;
> glob_last_good_h := 0.1;
> glob_look_poles := false;
> glob_neg_h := false;
> glob_display_interval := 0.0;
> glob_next_display := 0.0;
> glob_dump_analytic := false;
> glob_abserr := 0.1e-10;
> glob_relerr := 0.1e-10;
> glob_max_hours := 0.0;
> glob_max_iter := 1000;
> glob_max_rel_trunc_err := 0.1e-10;
> glob_max_trunc_err := 0.1e-10;
> glob_no_eqs := 0;
> glob_optimal_clock_start_sec := 0.0;
> glob_optimal_start := 0.0;
> glob_small_float := 0.1e-200;
> glob_smallish_float := 0.1e-100;
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_max_sec := 10000.0;
> glob_orig_start_sec := 0.0;
> glob_start := 0;
> glob_curr_iter_when_opt := 0;
> glob_current_iter := 0;
> glob_iter := 0;
> glob_normmax := 0.0;
> glob_max_minutes := 0.0;
> #Write Set Defaults
> glob_orig_start_sec := elapsed_time_seconds();
> MAX_UNCHANGED := 10;
> glob_curr_iter_when_opt := 0;
> glob_display_flag := true;
> glob_no_eqs := 2;
> glob_iter := -1;
> opt_iter := -1;
> glob_max_iter := 50000;
> glob_max_hours := 0.0;
> glob_max_minutes := 15.0;
> omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################");
> omniout_str(ALWAYS,"##############temp/mtest6_revpostode.ode#################");
> omniout_str(ALWAYS,"diff (x2,t,2) = 3.0 * diff(x2,t,1) - 2.0 * x2 - diff(x1,t,2) - diff (x1,t,1)+x1;");
> omniout_str(ALWAYS,"diff (x1,t,1) = 4.0 * x2 - 2.0 * diff (x2,t ,1) - 2.0 * x1;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"Digits:=64;");
> omniout_str(ALWAYS,"max_terms:=30;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#END FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"## problem from Boyce DePrima -");
> omniout_str(ALWAYS,"## _Elementary Differential Equations and Boundary Value Problems_");
> omniout_str(ALWAYS,"## page 269");
> omniout_str(ALWAYS,"##");
> omniout_str(ALWAYS,"t_start := 1.5;");
> omniout_str(ALWAYS,"## did poorly with t_start := 0.5;");
> omniout_str(ALWAYS,"t_end := 5.0;");
> omniout_str(ALWAYS,"array_x1_init[0 + 1] := exact_soln_x1(t_start);");
> omniout_str(ALWAYS,"## I think following line should be omitted");
> omniout_str(ALWAYS,"## diff(x1,1,exact_soln_x1p(t_start));");
> omniout_str(ALWAYS,"array_x2_init[0 + 1] := exact_soln_x2(t_start);");
> omniout_str(ALWAYS,"array_x2_init[1 + 1] := exact_soln_x2p(t_start);");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 100;");
> omniout_str(ALWAYS,"#END SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK");
> omniout_str(ALWAYS,"glob_desired_digits_correct:=10;");
> omniout_str(ALWAYS,"glob_display_interval:=0.001;");
> omniout_str(ALWAYS,"glob_look_poles:=true;");
> omniout_str(ALWAYS,"glob_max_iter:=10000000;");
> omniout_str(ALWAYS,"glob_max_minutes:=3;");
> omniout_str(ALWAYS,"glob_subiter_method:=3;");
> omniout_str(ALWAYS,"#END OVERRIDE BLOCK");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK");
> omniout_str(ALWAYS,"exact_soln_x1 := proc(t)");
> omniout_str(ALWAYS,"local c1,c2,c3;");
> omniout_str(ALWAYS,"c1 := 1.0;");
> omniout_str(ALWAYS,"c2 := 0.0002;");
> omniout_str(ALWAYS,"c3 := 0.0003;");
> omniout_str(ALWAYS,"return(2.0 * c1 + 6.0 * c3 * exp(-t));");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"exact_soln_x1p := proc(t)");
> omniout_str(ALWAYS,"local c1,c2,c3;");
> omniout_str(ALWAYS,"c1 := 1.0;");
> omniout_str(ALWAYS,"c2 := 0.0002;");
> omniout_str(ALWAYS,"c3 := 0.0003;");
> omniout_str(ALWAYS,"return( - 6.0 * c3 * exp(-t));");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"exact_soln_x2 := proc(t)");
> omniout_str(ALWAYS,"local c1,c2,c3;");
> omniout_str(ALWAYS,"c1 := 1.0;");
> omniout_str(ALWAYS,"c2 := 0.0002;");
> omniout_str(ALWAYS,"c3 := 0.0003;");
> omniout_str(ALWAYS,"return(c1 + c2 * exp(2.0 * t) + c3 * exp(-t));");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"exact_soln_x2p := proc(t)");
> omniout_str(ALWAYS,"local c1,c2,c3;");
> omniout_str(ALWAYS,"c1 := 1.0;");
> omniout_str(ALWAYS,"c2 := 0.0002;");
> omniout_str(ALWAYS,"c3 := 0.0003;");
> omniout_str(ALWAYS,"return( 2.0 * c2 * exp(2.0 * t) - c3 * exp(-t));");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"#END USER DEF BLOCK");
> omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################");
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_small_float := 1.0e-200;
> glob_smallish_float := 1.0e-64;
> glob_large_float := 1.0e100;
> glob_almost_1 := 0.99;
> #BEGIN FIRST INPUT BLOCK
> #BEGIN FIRST INPUT BLOCK
> Digits:=64;
> max_terms:=30;
> #END FIRST INPUT BLOCK
> #START OF INITS AFTER INPUT BLOCK
> glob_max_terms := max_terms;
> glob_html_log := true;
> #END OF INITS AFTER INPUT BLOCK
> array_x2_init:= Array(0..(max_terms + 1),[]);
> array_x1_init:= Array(0..(max_terms + 1),[]);
> array_norms:= Array(0..(max_terms + 1),[]);
> array_fact_1:= Array(0..(max_terms + 1),[]);
> array_pole:= Array(0..(max_terms + 1),[]);
> array_1st_rel_error:= Array(0..(max_terms + 1),[]);
> array_last_rel_error:= Array(0..(max_terms + 1),[]);
> array_type_pole:= Array(0..(max_terms + 1),[]);
> array_x2:= Array(0..(max_terms + 1),[]);
> array_t:= Array(0..(max_terms + 1),[]);
> array_x1:= Array(0..(max_terms + 1),[]);
> array_tmp0:= Array(0..(max_terms + 1),[]);
> array_tmp1:= Array(0..(max_terms + 1),[]);
> array_tmp2:= Array(0..(max_terms + 1),[]);
> array_tmp3:= Array(0..(max_terms + 1),[]);
> array_tmp4:= Array(0..(max_terms + 1),[]);
> array_tmp5:= Array(0..(max_terms + 1),[]);
> array_tmp6:= Array(0..(max_terms + 1),[]);
> array_tmp7:= Array(0..(max_terms + 1),[]);
> array_tmp8:= Array(0..(max_terms + 1),[]);
> array_tmp9:= Array(0..(max_terms + 1),[]);
> array_tmp10:= Array(0..(max_terms + 1),[]);
> array_tmp11:= Array(0..(max_terms + 1),[]);
> array_tmp12:= Array(0..(max_terms + 1),[]);
> array_tmp13:= Array(0..(max_terms + 1),[]);
> array_tmp14:= Array(0..(max_terms + 1),[]);
> array_tmp15:= Array(0..(max_terms + 1),[]);
> array_tmp16:= Array(0..(max_terms + 1),[]);
> array_tmp17:= Array(0..(max_terms + 1),[]);
> array_m1:= Array(0..(max_terms + 1),[]);
> array_x2_higher := Array(0..(3+ 1) ,(0..max_terms+ 1),[]);
> array_x2_higher_work := Array(0..(3+ 1) ,(0..max_terms+ 1),[]);
> array_x2_higher_work2 := Array(0..(3+ 1) ,(0..max_terms+ 1),[]);
> array_x2_set_initial := Array(0..(3+ 1) ,(0..max_terms+ 1),[]);
> array_x1_higher := Array(0..(3+ 1) ,(0..max_terms+ 1),[]);
> array_x1_higher_work := Array(0..(3+ 1) ,(0..max_terms+ 1),[]);
> array_x1_higher_work2 := Array(0..(3+ 1) ,(0..max_terms+ 1),[]);
> array_x1_set_initial := Array(0..(3+ 1) ,(0..max_terms+ 1),[]);
> array_poles := Array(0..(2+ 1) ,(0..3+ 1),[]);
> array_real_pole := Array(0..(2+ 1) ,(0..3+ 1),[]);
> array_complex_pole := Array(0..(2+ 1) ,(0..3+ 1),[]);
> array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_x2_init[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_x1_init[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_norms[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_fact_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_1st_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_last_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_type_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_x2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_t[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_x1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp5[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp6[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp7[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp8[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp9[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp10[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp11[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp12[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp13[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp14[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp15[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp16[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp17[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=3) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_x2_higher[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=3) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_x2_higher_work[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=3) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_x2_higher_work2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=3) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_x2_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=3) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_x1_higher[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=3) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_x1_higher_work[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=3) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_x1_higher_work2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=3) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_x1_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_real_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_complex_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=max_terms) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_fact_2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> #BEGIN ARRAYS DEFINED AND INITIALIZATED
> array_x2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_x2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_t := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_t[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_x1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_x1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp4 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp5 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp5[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp6 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp6[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp7 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp7[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp8 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp8[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp9 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp9[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp10 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp10[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp11 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp11[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp12 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp12[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp13 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp13[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp14 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp14[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp15 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp15[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp16 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp16[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp17 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp17[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_2[1] := 2;
> array_const_0D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D0[1] := 0.0;
> array_const_3D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_3D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_3D0[1] := 3.0;
> array_const_1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1[1] := 1;
> array_const_2D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_2D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_2D0[1] := 2.0;
> array_const_4D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_4D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_4D0[1] := 4.0;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1[1] := -1.0;
> #END ARRAYS DEFINED AND INITIALIZATED
> #Initing Factorial Tables
> iiif := 0;
> while (iiif <= glob_max_terms) do # do number 2
> jjjf := 0;
> while (jjjf <= glob_max_terms) do # do number 3
> array_fact_1[iiif] := 0;
> array_fact_2[iiif,jjjf] := 0;
> jjjf := jjjf + 1;
> od;# end do number 3;
> iiif := iiif + 1;
> od;# end do number 2;
> #Done Initing Factorial Tables
> #TOP SECOND INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> #END FIRST INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> ## problem from Boyce DePrima -
> ## _Elementary Differential Equations and Boundary Value Problems_
> ## page 269
> ##
> t_start := 1.5;
> ## did poorly with t_start := 0.5;
> t_end := 5.0;
> array_x1_init[0 + 1] := exact_soln_x1(t_start);
> ## I think following line should be omitted
> ## diff(x1,1,exact_soln_x1p(t_start));
> array_x2_init[0 + 1] := exact_soln_x2(t_start);
> array_x2_init[1 + 1] := exact_soln_x2p(t_start);
> glob_look_poles := true;
> glob_max_iter := 100;
> #END SECOND INPUT BLOCK
> #BEGIN OVERRIDE BLOCK
> glob_desired_digits_correct:=10;
> glob_display_interval:=0.001;
> glob_look_poles:=true;
> glob_max_iter:=10000000;
> glob_max_minutes:=3;
> glob_subiter_method:=3;
> #END OVERRIDE BLOCK
> #END SECOND INPUT BLOCK
> #BEGIN INITS AFTER SECOND INPUT BLOCK
> glob_last_good_h := glob_h;
> glob_max_terms := max_terms;
> glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours);
> if (glob_h > 0.0) then # if number 1
> glob_neg_h := false;
> glob_display_interval := omniabs(glob_display_interval);
> else
> glob_neg_h := true;
> glob_display_interval := -omniabs(glob_display_interval);
> fi;# end if 1;
> chk_data();
> #AFTER INITS AFTER SECOND INPUT BLOCK
> array_x2_set_initial[1,1] := true;
> array_x2_set_initial[1,2] := true;
> array_x2_set_initial[1,3] := false;
> array_x2_set_initial[1,4] := false;
> array_x2_set_initial[1,5] := false;
> array_x2_set_initial[1,6] := false;
> array_x2_set_initial[1,7] := false;
> array_x2_set_initial[1,8] := false;
> array_x2_set_initial[1,9] := false;
> array_x2_set_initial[1,10] := false;
> array_x2_set_initial[1,11] := false;
> array_x2_set_initial[1,12] := false;
> array_x2_set_initial[1,13] := false;
> array_x2_set_initial[1,14] := false;
> array_x2_set_initial[1,15] := false;
> array_x2_set_initial[1,16] := false;
> array_x2_set_initial[1,17] := false;
> array_x2_set_initial[1,18] := false;
> array_x2_set_initial[1,19] := false;
> array_x2_set_initial[1,20] := false;
> array_x2_set_initial[1,21] := false;
> array_x2_set_initial[1,22] := false;
> array_x2_set_initial[1,23] := false;
> array_x2_set_initial[1,24] := false;
> array_x2_set_initial[1,25] := false;
> array_x2_set_initial[1,26] := false;
> array_x2_set_initial[1,27] := false;
> array_x2_set_initial[1,28] := false;
> array_x2_set_initial[1,29] := false;
> array_x2_set_initial[1,30] := false;
> array_x1_set_initial[2,1] := true;
> array_x1_set_initial[2,2] := false;
> array_x1_set_initial[2,3] := false;
> array_x1_set_initial[2,4] := false;
> array_x1_set_initial[2,5] := false;
> array_x1_set_initial[2,6] := false;
> array_x1_set_initial[2,7] := false;
> array_x1_set_initial[2,8] := false;
> array_x1_set_initial[2,9] := false;
> array_x1_set_initial[2,10] := false;
> array_x1_set_initial[2,11] := false;
> array_x1_set_initial[2,12] := false;
> array_x1_set_initial[2,13] := false;
> array_x1_set_initial[2,14] := false;
> array_x1_set_initial[2,15] := false;
> array_x1_set_initial[2,16] := false;
> array_x1_set_initial[2,17] := false;
> array_x1_set_initial[2,18] := false;
> array_x1_set_initial[2,19] := false;
> array_x1_set_initial[2,20] := false;
> array_x1_set_initial[2,21] := false;
> array_x1_set_initial[2,22] := false;
> array_x1_set_initial[2,23] := false;
> array_x1_set_initial[2,24] := false;
> array_x1_set_initial[2,25] := false;
> array_x1_set_initial[2,26] := false;
> array_x1_set_initial[2,27] := false;
> array_x1_set_initial[2,28] := false;
> array_x1_set_initial[2,29] := false;
> array_x1_set_initial[2,30] := false;
> #BEGIN OPTIMIZE CODE
> omniout_str(ALWAYS,"START of Optimize");
> #Start Series -- INITIALIZE FOR OPTIMIZE
> glob_check_sign := check_sign(t_start,t_end);
> glob_h := check_sign(t_start,t_end);
> if (glob_display_interval < glob_h) then # if number 3
> glob_h := glob_display_interval;
> fi;# end if 3;
> if (glob_max_h < glob_h) then # if number 3
> glob_h := glob_max_h;
> fi;# end if 3;
> found_h := -1.0;
> best_h := 0.0;
> min_value := glob_large_float;
> est_answer := est_size_answer();
> opt_iter := 1;
> while ((opt_iter <= 20) and (found_h < 0.0)) do # do number 2
> omniout_int(ALWAYS,"opt_iter",32,opt_iter,4,"");
> array_t[1] := t_start;
> array_t[2] := glob_h;
> glob_next_display := t_start;
> order_diff := 2;
> #Start Series array_x2
> term_no := 1;
> while (term_no <= order_diff) do # do number 3
> array_x2[term_no] := array_x2_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 3;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 3
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 4
> it := term_no + r_order - 1;
> array_x2_higher[r_order,term_no] := array_x2_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 4;
> r_order := r_order + 1;
> od;# end do number 3
> ;
> order_diff := 2;
> #Start Series array_x1
> term_no := 1;
> while (term_no <= order_diff) do # do number 3
> array_x1[term_no] := array_x1_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 3;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 3
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 4
> it := term_no + r_order - 1;
> array_x1_higher[r_order,term_no] := array_x1_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 4;
> r_order := r_order + 1;
> od;# end do number 3
> ;
> if (glob_subiter_method = 1 ) then # if number 3
> atomall();
> elif
> (glob_subiter_method = 2 ) then # if number 4
> subiter := 1;
> while (subiter <= 3) do # do number 3
> atomall();
> subiter := subiter + 1;
> od;# end do number 3;
> else
> subiter := 1;
> while (subiter <= 3 + glob_max_terms) do # do number 3
> atomall();
> subiter := subiter + 1;
> od;# end do number 3;
> fi;# end if 4;
> est_needed_step_err := estimated_needed_step_error(t_start,t_end,glob_h,est_answer);
> omniout_float(ALWAYS,"est_needed_step_err",32,est_needed_step_err,16,"");
> value3 := test_suggested_h();
> omniout_float(ALWAYS,"value3",32,value3,32,"");
> if ((value3 < est_needed_step_err) and (found_h < 0.0)) then # if number 4
> best_h := glob_h;
> found_h := 1.0;
> fi;# end if 4;
> omniout_float(ALWAYS,"best_h",32,best_h,32,"");
> opt_iter := opt_iter + 1;
> glob_h := glob_h * 0.5;
> od;# end do number 2;
> if (found_h > 0.0) then # if number 4
> glob_h := best_h ;
> else
> omniout_str(ALWAYS,"No increment to obtain desired accuracy found");
> fi;# end if 4;
> #END OPTIMIZE CODE
> if (glob_html_log) then # if number 4
> html_log_file := fopen("html/entry.html",WRITE,TEXT);
> fi;# end if 4;
> #BEGIN SOLUTION CODE
> if (found_h > 0.0) then # if number 4
> omniout_str(ALWAYS,"START of Soultion");
> #Start Series -- INITIALIZE FOR SOLUTION
> array_t[1] := t_start;
> array_t[2] := glob_h;
> glob_next_display := t_start;
> order_diff := 2;
> #Start Series array_x2
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_x2[term_no] := array_x2_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 2;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 2
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 3
> it := term_no + r_order - 1;
> array_x2_higher[r_order,term_no] := array_x2_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 3;
> r_order := r_order + 1;
> od;# end do number 2
> ;
> order_diff := 2;
> #Start Series array_x1
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_x1[term_no] := array_x1_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 2;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 2
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 3
> it := term_no + r_order - 1;
> array_x1_higher[r_order,term_no] := array_x1_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 3;
> r_order := r_order + 1;
> od;# end do number 2
> ;
> current_iter := 1;
> glob_clock_start_sec := elapsed_time_seconds();
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := 0;
> glob_iter := 0;
> omniout_str(DEBUGL," ");
> glob_reached_optimal_h := true;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> while ((glob_current_iter < glob_max_iter) and ((glob_check_sign * array_t[1]) < (glob_check_sign * t_end )) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2
> #left paren 0001C
> if (reached_interval()) then # if number 5
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> fi;# end if 5;
> glob_iter := glob_iter + 1;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := glob_current_iter + 1;
> if (glob_subiter_method = 1 ) then # if number 5
> atomall();
> elif
> (glob_subiter_method = 2 ) then # if number 6
> subiter := 1;
> while (subiter <= 3) do # do number 3
> atomall();
> subiter := subiter + 1;
> od;# end do number 3;
> else
> subiter := 1;
> while (subiter <= 3 + glob_max_terms) do # do number 3
> atomall();
> subiter := subiter + 1;
> od;# end do number 3;
> fi;# end if 6;
> display_alot(current_iter);
> if (glob_look_poles) then # if number 6
> #left paren 0004C
> check_for_pole();
> fi;# end if 6;#was right paren 0004C
> if (reached_interval()) then # if number 6
> glob_next_display := glob_next_display + glob_display_interval;
> fi;# end if 6;
> array_t[1] := array_t[1] + glob_h;
> array_t[2] := glob_h;
> #Jump Series array_x2;
> order_diff := 3;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =1
> #sum_and_adjust array_x2
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 3;
> calc_term := 1;
> #adjust_subseriesarray_x2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_x2_higher_work[3,iii] := array_x2_higher[3,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 3;
> calc_term := 1;
> #sum_subseriesarray_x2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_x2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_x2_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 2;
> #adjust_subseriesarray_x2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_x2_higher_work[2,iii] := array_x2_higher[2,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 2;
> #sum_subseriesarray_x2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_x2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_x2_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 1;
> #adjust_subseriesarray_x2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_x2_higher_work[2,iii] := array_x2_higher[2,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 1;
> #sum_subseriesarray_x2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_x2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_x2_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 3;
> #adjust_subseriesarray_x2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_x2_higher_work[1,iii] := array_x2_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 3;
> #sum_subseriesarray_x2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_x2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_x2_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 2;
> #adjust_subseriesarray_x2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_x2_higher_work[1,iii] := array_x2_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 2;
> #sum_subseriesarray_x2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_x2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_x2_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 1;
> #adjust_subseriesarray_x2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_x2_higher_work[1,iii] := array_x2_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 1;
> #sum_subseriesarray_x2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_x2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_x2_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #END SUM AND ADJUST EQ =1
> #END PART 1
> #START PART 2 MOVE TERMS to REGULAR Array
> term_no := glob_max_terms;
> while (term_no >= 1) do # do number 3
> array_x2[term_no] := array_x2_higher_work2[1,term_no];
> ord := 1;
> while (ord <= order_diff) do # do number 4
> array_x2_higher[ord,term_no] := array_x2_higher_work2[ord,term_no];
> ord := ord + 1;
> od;# end do number 4;
> term_no := term_no - 1;
> od;# end do number 3;
> #END PART 2 HEVE MOVED TERMS to REGULAR Array
> #Jump Series array_x1;
> order_diff := 2;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =2
> #sum_and_adjust array_x1
> #BEFORE ADJUST SUBSERIES EQ =2
> ord := 2;
> calc_term := 1;
> #adjust_subseriesarray_x1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_x1_higher_work[2,iii] := array_x1_higher[2,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =2
> #BEFORE SUM SUBSERIES EQ =2
> temp_sum := 0.0;
> ord := 2;
> calc_term := 1;
> #sum_subseriesarray_x1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_x1_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_x1_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =2
> #BEFORE ADJUST SUBSERIES EQ =2
> ord := 1;
> calc_term := 2;
> #adjust_subseriesarray_x1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_x1_higher_work[1,iii] := array_x1_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =2
> #BEFORE SUM SUBSERIES EQ =2
> temp_sum := 0.0;
> ord := 1;
> calc_term := 2;
> #sum_subseriesarray_x1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_x1_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_x1_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =2
> #BEFORE ADJUST SUBSERIES EQ =2
> ord := 1;
> calc_term := 1;
> #adjust_subseriesarray_x1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_x1_higher_work[1,iii] := array_x1_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =2
> #BEFORE SUM SUBSERIES EQ =2
> temp_sum := 0.0;
> ord := 1;
> calc_term := 1;
> #sum_subseriesarray_x1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_x1_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_x1_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =2
> #END SUM AND ADJUST EQ =2
> #END PART 1
> #START PART 2 MOVE TERMS to REGULAR Array
> term_no := glob_max_terms;
> while (term_no >= 1) do # do number 3
> array_x1[term_no] := array_x1_higher_work2[1,term_no];
> ord := 1;
> while (ord <= order_diff) do # do number 4
> array_x1_higher[ord,term_no] := array_x1_higher_work2[ord,term_no];
> ord := ord + 1;
> od;# end do number 4;
> term_no := term_no - 1;
> od;# end do number 3;
> #END PART 2 HEVE MOVED TERMS to REGULAR Array
> ;
> od;# end do number 2;#right paren 0001C
> omniout_str(ALWAYS,"Finished!");
> if (glob_iter >= glob_max_iter) then # if number 6
> omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!");
> fi;# end if 6;
> if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 6
> omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!");
> fi;# end if 6;
> glob_clock_sec := elapsed_time_seconds();
> omniout_str(INFO,"diff (x2,t,2) = 3.0 * diff(x2,t,1) - 2.0 * x2 - diff(x1,t,2) - diff (x1,t,1)+x1;");
> omniout_str(INFO,"diff (x1,t,1) = 4.0 * x2 - 2.0 * diff (x2,t ,1) - 2.0 * x1;");
> omniout_int(INFO,"Iterations ",32,glob_iter,4," ")
> ;
> prog_report(t_start,t_end);
> if (glob_html_log) then # if number 6
> logstart(html_log_file);
> logitem_str(html_log_file,"2013-01-28T17:15:07-06:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"mtest6_rev")
> ;
> logitem_str(html_log_file,"diff (x2,t,2) = 3.0 * diff(x2,t,1) - 2.0 * x2 - diff(x1,t,2) - diff (x1,t,1)+x1;")
> ;
> logitem_float(html_log_file,t_start)
> ;
> logitem_float(html_log_file,t_end)
> ;
> logitem_float(html_log_file,array_t[1])
> ;
> logitem_float(html_log_file,glob_h)
> ;
> logitem_integer(html_log_file,Digits)
> ;
> ;
> logitem_good_digits(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_max_terms)
> ;
> logitem_float(html_log_file,array_1st_rel_error[1])
> ;
> logitem_float(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_iter)
> ;
> logitem_pole(html_log_file,array_type_pole[1])
> ;
> if (array_type_pole[1] = 1 or array_type_pole[1] = 2) then # if number 7
> logitem_float(html_log_file,array_pole[1])
> ;
> logitem_float(html_log_file,array_pole[2])
> ;
> 0;
> else
> logitem_str(html_log_file,"NA")
> ;
> logitem_str(html_log_file,"NA")
> ;
> 0;
> fi;# end if 7;
> logitem_time(html_log_file,convfloat(glob_clock_sec))
> ;
> if (glob_percent_done < 100.0) then # if number 7
> logitem_time(html_log_file,convfloat(glob_total_exp_sec))
> ;
> 0;
> else
> logitem_str(html_log_file,"Done")
> ;
> 0;
> fi;# end if 7;
> log_revs(html_log_file," 165 | ")
> ;
> logitem_str(html_log_file,"mtest6_rev diffeq.mxt")
> ;
> logitem_str(html_log_file,"mtest6_rev maple results")
> ;
> logitem_str(html_log_file,"All Tests - All Languages")
> ;
> logend(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logitem_str(html_log_file,"diff (x1,t,1) = 4.0 * x2 - 2.0 * diff (x2,t ,1) - 2.0 * x1;")
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> ;
> logitem_good_digits(html_log_file,array_last_rel_error[2])
> ;
> logditto(html_log_file)
> ;
> logitem_float(html_log_file,array_1st_rel_error[2])
> ;
> logitem_float(html_log_file,array_last_rel_error[2])
> ;
> logditto(html_log_file)
> ;
> logitem_pole(html_log_file,array_type_pole[2])
> ;
> if (array_type_pole[2] = 1 or array_type_pole[2] = 2) then # if number 7
> logitem_float(html_log_file,array_pole[1])
> ;
> logitem_float(html_log_file,array_pole[2])
> ;
> 0;
> else
> logitem_str(html_log_file,"NA")
> ;
> logitem_str(html_log_file,"NA")
> ;
> 0;
> fi;# end if 7;
> logditto(html_log_file)
> ;
> if (glob_percent_done < 100.0) then # if number 7
> logditto(html_log_file)
> ;
> 0;
> else
> logditto(html_log_file)
> ;
> 0;
> fi;# end if 7;
> logditto(html_log_file);
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logditto(html_log_file)
> ;
> logend(html_log_file)
> ;
> ;
> fi;# end if 6;
> if (glob_html_log) then # if number 6
> fclose(html_log_file);
> fi;# end if 6
> ;
> ;;
> fi;# end if 5
> #END OUTFILEMAIN
> end;
main := proc()
local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff,
term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii,
temp_sum, current_iter, t_start, t_end, it, max_terms, opt_iter, tmp,
subiter, est_needed_step_err, value3, min_value, est_answer, best_h,
found_h, repeat_it;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_2,
array_const_0D0, array_const_3D0, array_const_1, array_const_2D0,
array_const_4D0, array_x2_init, array_x1_init, array_norms, array_fact_1,
array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole,
array_x2, array_t, array_x1, array_tmp0, array_tmp1, array_tmp2, array_tmp3,
array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9,
array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14,
array_tmp15, array_tmp16, array_tmp17, array_m1, array_x2_higher,
array_x2_higher_work, array_x2_higher_work2, array_x2_set_initial,
array_x1_higher, array_x1_higher_work, array_x1_higher_work2,
array_x1_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
glob_last;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
glob_iolevel := INFO;
glob_max_terms := 30;
glob_iolevel := 5;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
MAX_UNCHANGED := 10;
glob_check_sign := 1.0;
glob_desired_digits_correct := 8.0;
glob_max_value3 := 0.;
glob_ratio_of_radius := 0.01;
glob_percent_done := 0.;
glob_subiter_method := 3;
glob_total_exp_sec := 0.1;
glob_optimal_expect_sec := 0.1;
glob_html_log := true;
glob_good_digits := 0;
glob_max_opt_iter := 10;
glob_dump := false;
glob_djd_debug := true;
glob_display_flag := true;
glob_djd_debug2 := true;
glob_sec_in_minute := 60;
glob_min_in_hour := 60;
glob_hours_in_day := 24;
glob_days_in_year := 365;
glob_sec_in_hour := 3600;
glob_sec_in_day := 86400;
glob_sec_in_year := 31536000;
glob_almost_1 := 0.9990;
glob_clock_sec := 0.;
glob_clock_start_sec := 0.;
glob_not_yet_finished := true;
glob_initial_pass := true;
glob_not_yet_start_msg := true;
glob_reached_optimal_h := false;
glob_optimal_done := false;
glob_disp_incr := 0.1;
glob_h := 0.1;
glob_max_h := 0.1;
glob_large_float := 0.90*10^101;
glob_last_good_h := 0.1;
glob_look_poles := false;
glob_neg_h := false;
glob_display_interval := 0.;
glob_next_display := 0.;
glob_dump_analytic := false;
glob_abserr := 0.1*10^(-10);
glob_relerr := 0.1*10^(-10);
glob_max_hours := 0.;
glob_max_iter := 1000;
glob_max_rel_trunc_err := 0.1*10^(-10);
glob_max_trunc_err := 0.1*10^(-10);
glob_no_eqs := 0;
glob_optimal_clock_start_sec := 0.;
glob_optimal_start := 0.;
glob_small_float := 0.1*10^(-200);
glob_smallish_float := 0.1*10^(-100);
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_max_sec := 10000.0;
glob_orig_start_sec := 0.;
glob_start := 0;
glob_curr_iter_when_opt := 0;
glob_current_iter := 0;
glob_iter := 0;
glob_normmax := 0.;
glob_max_minutes := 0.;
glob_orig_start_sec := elapsed_time_seconds();
MAX_UNCHANGED := 10;
glob_curr_iter_when_opt := 0;
glob_display_flag := true;
glob_no_eqs := 2;
glob_iter := -1;
opt_iter := -1;
glob_max_iter := 50000;
glob_max_hours := 0.;
glob_max_minutes := 15.0;
omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################");
omniout_str(ALWAYS,
"##############temp/mtest6_revpostode.ode#################");
omniout_str(ALWAYS, "diff (x2,t,2) = 3.0 * diff(x2,t,1) - 2.0 * x2 - \
diff(x1,t,2) - diff (x1,t,1)+x1;");
omniout_str(ALWAYS,
"diff (x1,t,1) = 4.0 * x2 - 2.0 * diff (x2,t ,1) - 2.0 * x1;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK");
omniout_str(ALWAYS, "Digits:=64;");
omniout_str(ALWAYS, "max_terms:=30;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#END FIRST INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK");
omniout_str(ALWAYS, "## problem from Boyce DePrima -");
omniout_str(ALWAYS, "## _Elementary Differential Equations and Bounda\
ry Value Problems_");
omniout_str(ALWAYS, "## page 269");
omniout_str(ALWAYS, "##");
omniout_str(ALWAYS, "t_start := 1.5;");
omniout_str(ALWAYS, "## did poorly with t_start := 0.5;");
omniout_str(ALWAYS, "t_end := 5.0;");
omniout_str(ALWAYS, "array_x1_init[0 + 1] := exact_soln_x1(t_start);");
omniout_str(ALWAYS, "## I think following line should be omitted");
omniout_str(ALWAYS, "## diff(x1,1,exact_soln_x1p(t_start));");
omniout_str(ALWAYS, "array_x2_init[0 + 1] := exact_soln_x2(t_start);");
omniout_str(ALWAYS, "array_x2_init[1 + 1] := exact_soln_x2p(t_start);")
;
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 100;");
omniout_str(ALWAYS, "#END SECOND INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK");
omniout_str(ALWAYS, "glob_desired_digits_correct:=10;");
omniout_str(ALWAYS, "glob_display_interval:=0.001;");
omniout_str(ALWAYS, "glob_look_poles:=true;");
omniout_str(ALWAYS, "glob_max_iter:=10000000;");
omniout_str(ALWAYS, "glob_max_minutes:=3;");
omniout_str(ALWAYS, "glob_subiter_method:=3;");
omniout_str(ALWAYS, "#END OVERRIDE BLOCK");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK");
omniout_str(ALWAYS, "exact_soln_x1 := proc(t)");
omniout_str(ALWAYS, "local c1,c2,c3;");
omniout_str(ALWAYS, "c1 := 1.0;");
omniout_str(ALWAYS, "c2 := 0.0002;");
omniout_str(ALWAYS, "c3 := 0.0003;");
omniout_str(ALWAYS, "return(2.0 * c1 + 6.0 * c3 * exp(-t));");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "exact_soln_x1p := proc(t)");
omniout_str(ALWAYS, "local c1,c2,c3;");
omniout_str(ALWAYS, "c1 := 1.0;");
omniout_str(ALWAYS, "c2 := 0.0002;");
omniout_str(ALWAYS, "c3 := 0.0003;");
omniout_str(ALWAYS, "return( - 6.0 * c3 * exp(-t));");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "exact_soln_x2 := proc(t)");
omniout_str(ALWAYS, "local c1,c2,c3;");
omniout_str(ALWAYS, "c1 := 1.0;");
omniout_str(ALWAYS, "c2 := 0.0002;");
omniout_str(ALWAYS, "c3 := 0.0003;");
omniout_str(ALWAYS, "return(c1 + c2 * exp(2.0 * t) + c3 * exp(-t));");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "exact_soln_x2p := proc(t)");
omniout_str(ALWAYS, "local c1,c2,c3;");
omniout_str(ALWAYS, "c1 := 1.0;");
omniout_str(ALWAYS, "c2 := 0.0002;");
omniout_str(ALWAYS, "c3 := 0.0003;");
omniout_str(ALWAYS,
"return( 2.0 * c2 * exp(2.0 * t) - c3 * exp(-t));");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "#END USER DEF BLOCK");
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################");
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_small_float := 0.10*10^(-199);
glob_smallish_float := 0.10*10^(-63);
glob_large_float := 0.10*10^101;
glob_almost_1 := 0.99;
Digits := 64;
max_terms := 30;
glob_max_terms := max_terms;
glob_html_log := true;
array_x2_init := Array(0 .. max_terms + 1, []);
array_x1_init := Array(0 .. max_terms + 1, []);
array_norms := Array(0 .. max_terms + 1, []);
array_fact_1 := Array(0 .. max_terms + 1, []);
array_pole := Array(0 .. max_terms + 1, []);
array_1st_rel_error := Array(0 .. max_terms + 1, []);
array_last_rel_error := Array(0 .. max_terms + 1, []);
array_type_pole := Array(0 .. max_terms + 1, []);
array_x2 := Array(0 .. max_terms + 1, []);
array_t := Array(0 .. max_terms + 1, []);
array_x1 := Array(0 .. max_terms + 1, []);
array_tmp0 := Array(0 .. max_terms + 1, []);
array_tmp1 := Array(0 .. max_terms + 1, []);
array_tmp2 := Array(0 .. max_terms + 1, []);
array_tmp3 := Array(0 .. max_terms + 1, []);
array_tmp4 := Array(0 .. max_terms + 1, []);
array_tmp5 := Array(0 .. max_terms + 1, []);
array_tmp6 := Array(0 .. max_terms + 1, []);
array_tmp7 := Array(0 .. max_terms + 1, []);
array_tmp8 := Array(0 .. max_terms + 1, []);
array_tmp9 := Array(0 .. max_terms + 1, []);
array_tmp10 := Array(0 .. max_terms + 1, []);
array_tmp11 := Array(0 .. max_terms + 1, []);
array_tmp12 := Array(0 .. max_terms + 1, []);
array_tmp13 := Array(0 .. max_terms + 1, []);
array_tmp14 := Array(0 .. max_terms + 1, []);
array_tmp15 := Array(0 .. max_terms + 1, []);
array_tmp16 := Array(0 .. max_terms + 1, []);
array_tmp17 := Array(0 .. max_terms + 1, []);
array_m1 := Array(0 .. max_terms + 1, []);
array_x2_higher := Array(0 .. 4, 0 .. max_terms + 1, []);
array_x2_higher_work := Array(0 .. 4, 0 .. max_terms + 1, []);
array_x2_higher_work2 := Array(0 .. 4, 0 .. max_terms + 1, []);
array_x2_set_initial := Array(0 .. 4, 0 .. max_terms + 1, []);
array_x1_higher := Array(0 .. 4, 0 .. max_terms + 1, []);
array_x1_higher_work := Array(0 .. 4, 0 .. max_terms + 1, []);
array_x1_higher_work2 := Array(0 .. 4, 0 .. max_terms + 1, []);
array_x1_set_initial := Array(0 .. 4, 0 .. max_terms + 1, []);
array_poles := Array(0 .. 3, 0 .. 4, []);
array_real_pole := Array(0 .. 3, 0 .. 4, []);
array_complex_pole := Array(0 .. 3, 0 .. 4, []);
array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []);
term := 1;
while term <= max_terms do array_x2_init[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_x1_init[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_norms[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_fact_1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_1st_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_last_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_type_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_x2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_t[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_x1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp0[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp5[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp6[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp7[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp8[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp9[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp10[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp11[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp12[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp13[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp14[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp15[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp16[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp17[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
ord := 1;
while ord <= 3 do
term := 1;
while term <= max_terms do
array_x2_higher[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 3 do
term := 1;
while term <= max_terms do
array_x2_higher_work[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 3 do
term := 1;
while term <= max_terms do
array_x2_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 3 do
term := 1;
while term <= max_terms do
array_x2_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 3 do
term := 1;
while term <= max_terms do
array_x1_higher[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 3 do
term := 1;
while term <= max_terms do
array_x1_higher_work[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 3 do
term := 1;
while term <= max_terms do
array_x1_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 3 do
term := 1;
while term <= max_terms do
array_x1_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= 3 do array_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= 3 do
array_real_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= 3 do
array_complex_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= max_terms do
term := 1;
while term <= max_terms do
array_fact_2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
array_x2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_x2[term] := 0.; term := term + 1
end do;
array_t := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_t[term] := 0.; term := term + 1
end do;
array_x1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_x1[term] := 0.; term := term + 1
end do;
array_tmp0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1
end do;
array_tmp1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1
end do;
array_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1
end do;
array_tmp3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1
end do;
array_tmp4 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1
end do;
array_tmp5 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp5[term] := 0.; term := term + 1
end do;
array_tmp6 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp6[term] := 0.; term := term + 1
end do;
array_tmp7 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp7[term] := 0.; term := term + 1
end do;
array_tmp8 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp8[term] := 0.; term := term + 1
end do;
array_tmp9 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp9[term] := 0.; term := term + 1
end do;
array_tmp10 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp10[term] := 0.; term := term + 1
end do;
array_tmp11 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp11[term] := 0.; term := term + 1
end do;
array_tmp12 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp12[term] := 0.; term := term + 1
end do;
array_tmp13 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp13[term] := 0.; term := term + 1
end do;
array_tmp14 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp14[term] := 0.; term := term + 1
end do;
array_tmp15 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp15[term] := 0.; term := term + 1
end do;
array_tmp16 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp16[term] := 0.; term := term + 1
end do;
array_tmp17 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp17[term] := 0.; term := term + 1
end do;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1
end do;
array_const_2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_2[term] := 0.; term := term + 1
end do;
array_const_2[1] := 2;
array_const_0D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D0[term] := 0.; term := term + 1
end do;
array_const_0D0[1] := 0.;
array_const_3D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_3D0[term] := 0.; term := term + 1
end do;
array_const_3D0[1] := 3.0;
array_const_1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1[term] := 0.; term := term + 1
end do;
array_const_1[1] := 1;
array_const_2D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_2D0[term] := 0.; term := term + 1
end do;
array_const_2D0[1] := 2.0;
array_const_4D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_4D0[term] := 0.; term := term + 1
end do;
array_const_4D0[1] := 4.0;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
array_m1[1] := -1.0;
iiif := 0;
while iiif <= glob_max_terms do
jjjf := 0;
while jjjf <= glob_max_terms do
array_fact_1[iiif] := 0;
array_fact_2[iiif, jjjf] := 0;
jjjf := jjjf + 1
end do;
iiif := iiif + 1
end do;
t_start := 1.5;
t_end := 5.0;
array_x1_init[1] := exact_soln_x1(t_start);
array_x2_init[1] := exact_soln_x2(t_start);
array_x2_init[2] := exact_soln_x2p(t_start);
glob_look_poles := true;
glob_max_iter := 100;
glob_desired_digits_correct := 10;
glob_display_interval := 0.001;
glob_look_poles := true;
glob_max_iter := 10000000;
glob_max_minutes := 3;
glob_subiter_method := 3;
glob_last_good_h := glob_h;
glob_max_terms := max_terms;
glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes)
+ convfloat(3600.0)*convfloat(glob_max_hours);
if 0. < glob_h then
glob_neg_h := false;
glob_display_interval := omniabs(glob_display_interval)
else
glob_neg_h := true;
glob_display_interval := -omniabs(glob_display_interval)
end if;
chk_data();
array_x2_set_initial[1, 1] := true;
array_x2_set_initial[1, 2] := true;
array_x2_set_initial[1, 3] := false;
array_x2_set_initial[1, 4] := false;
array_x2_set_initial[1, 5] := false;
array_x2_set_initial[1, 6] := false;
array_x2_set_initial[1, 7] := false;
array_x2_set_initial[1, 8] := false;
array_x2_set_initial[1, 9] := false;
array_x2_set_initial[1, 10] := false;
array_x2_set_initial[1, 11] := false;
array_x2_set_initial[1, 12] := false;
array_x2_set_initial[1, 13] := false;
array_x2_set_initial[1, 14] := false;
array_x2_set_initial[1, 15] := false;
array_x2_set_initial[1, 16] := false;
array_x2_set_initial[1, 17] := false;
array_x2_set_initial[1, 18] := false;
array_x2_set_initial[1, 19] := false;
array_x2_set_initial[1, 20] := false;
array_x2_set_initial[1, 21] := false;
array_x2_set_initial[1, 22] := false;
array_x2_set_initial[1, 23] := false;
array_x2_set_initial[1, 24] := false;
array_x2_set_initial[1, 25] := false;
array_x2_set_initial[1, 26] := false;
array_x2_set_initial[1, 27] := false;
array_x2_set_initial[1, 28] := false;
array_x2_set_initial[1, 29] := false;
array_x2_set_initial[1, 30] := false;
array_x1_set_initial[2, 1] := true;
array_x1_set_initial[2, 2] := false;
array_x1_set_initial[2, 3] := false;
array_x1_set_initial[2, 4] := false;
array_x1_set_initial[2, 5] := false;
array_x1_set_initial[2, 6] := false;
array_x1_set_initial[2, 7] := false;
array_x1_set_initial[2, 8] := false;
array_x1_set_initial[2, 9] := false;
array_x1_set_initial[2, 10] := false;
array_x1_set_initial[2, 11] := false;
array_x1_set_initial[2, 12] := false;
array_x1_set_initial[2, 13] := false;
array_x1_set_initial[2, 14] := false;
array_x1_set_initial[2, 15] := false;
array_x1_set_initial[2, 16] := false;
array_x1_set_initial[2, 17] := false;
array_x1_set_initial[2, 18] := false;
array_x1_set_initial[2, 19] := false;
array_x1_set_initial[2, 20] := false;
array_x1_set_initial[2, 21] := false;
array_x1_set_initial[2, 22] := false;
array_x1_set_initial[2, 23] := false;
array_x1_set_initial[2, 24] := false;
array_x1_set_initial[2, 25] := false;
array_x1_set_initial[2, 26] := false;
array_x1_set_initial[2, 27] := false;
array_x1_set_initial[2, 28] := false;
array_x1_set_initial[2, 29] := false;
array_x1_set_initial[2, 30] := false;
omniout_str(ALWAYS, "START of Optimize");
glob_check_sign := check_sign(t_start, t_end);
glob_h := check_sign(t_start, t_end);
if glob_display_interval < glob_h then glob_h := glob_display_interval
end if;
if glob_max_h < glob_h then glob_h := glob_max_h end if;
found_h := -1.0;
best_h := 0.;
min_value := glob_large_float;
est_answer := est_size_answer();
opt_iter := 1;
while opt_iter <= 20 and found_h < 0. do
omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, "");
array_t[1] := t_start;
array_t[2] := glob_h;
glob_next_display := t_start;
order_diff := 2;
term_no := 1;
while term_no <= order_diff do
array_x2[term_no] := array_x2_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_x2_higher[r_order, term_no] := array_x2_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
order_diff := 2;
term_no := 1;
while term_no <= order_diff do
array_x1[term_no] := array_x1_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_x1_higher[r_order, term_no] := array_x1_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
if glob_subiter_method = 1 then atomall()
elif glob_subiter_method = 2 then
subiter := 1;
while subiter <= 3 do atomall(); subiter := subiter + 1 end do
else
subiter := 1;
while subiter <= 3 + glob_max_terms do
atomall(); subiter := subiter + 1
end do
end if;
est_needed_step_err :=
estimated_needed_step_error(t_start, t_end, glob_h, est_answer)
;
omniout_float(ALWAYS, "est_needed_step_err", 32,
est_needed_step_err, 16, "");
value3 := test_suggested_h();
omniout_float(ALWAYS, "value3", 32, value3, 32, "");
if value3 < est_needed_step_err and found_h < 0. then
best_h := glob_h; found_h := 1.0
end if;
omniout_float(ALWAYS, "best_h", 32, best_h, 32, "");
opt_iter := opt_iter + 1;
glob_h := glob_h*0.5
end do;
if 0. < found_h then glob_h := best_h
else omniout_str(ALWAYS,
"No increment to obtain desired accuracy found")
end if;
if glob_html_log then
html_log_file := fopen("html/entry.html", WRITE, TEXT)
end if;
if 0. < found_h then
omniout_str(ALWAYS, "START of Soultion");
array_t[1] := t_start;
array_t[2] := glob_h;
glob_next_display := t_start;
order_diff := 2;
term_no := 1;
while term_no <= order_diff do
array_x2[term_no] := array_x2_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_x2_higher[r_order, term_no] := array_x2_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
order_diff := 2;
term_no := 1;
while term_no <= order_diff do
array_x1[term_no] := array_x1_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_x1_higher[r_order, term_no] := array_x1_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
current_iter := 1;
glob_clock_start_sec := elapsed_time_seconds();
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := 0;
glob_iter := 0;
omniout_str(DEBUGL, " ");
glob_reached_optimal_h := true;
glob_optimal_clock_start_sec := elapsed_time_seconds();
while glob_current_iter < glob_max_iter and
glob_check_sign*array_t[1] < glob_check_sign*t_end and
convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
convfloat(glob_max_sec) do
if reached_interval() then
omniout_str(INFO, " ");
omniout_str(INFO, "TOP MAIN SOLVE Loop")
end if;
glob_iter := glob_iter + 1;
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := glob_current_iter + 1;
if glob_subiter_method = 1 then atomall()
elif glob_subiter_method = 2 then
subiter := 1;
while subiter <= 3 do atomall(); subiter := subiter + 1
end do
else
subiter := 1;
while subiter <= 3 + glob_max_terms do
atomall(); subiter := subiter + 1
end do
end if;
display_alot(current_iter);
if glob_look_poles then check_for_pole() end if;
if reached_interval() then glob_next_display :=
glob_next_display + glob_display_interval
end if;
array_t[1] := array_t[1] + glob_h;
array_t[2] := glob_h;
order_diff := 3;
ord := 3;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_x2_higher_work[3, iii] := array_x2_higher[3, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 3;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_x2_higher_work[ord, iii];
iii := iii - 1
end do;
array_x2_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 2;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_x2_higher_work[2, iii] := array_x2_higher[2, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_x2_higher_work[ord, iii];
iii := iii - 1
end do;
array_x2_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_x2_higher_work[2, iii] := array_x2_higher[2, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_x2_higher_work[ord, iii];
iii := iii - 1
end do;
array_x2_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 3;
iii := glob_max_terms;
while calc_term <= iii do
array_x2_higher_work[1, iii] := array_x2_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 3;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_x2_higher_work[ord, iii];
iii := iii - 1
end do;
array_x2_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_x2_higher_work[1, iii] := array_x2_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_x2_higher_work[ord, iii];
iii := iii - 1
end do;
array_x2_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_x2_higher_work[1, iii] := array_x2_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_x2_higher_work[ord, iii];
iii := iii - 1
end do;
array_x2_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
term_no := glob_max_terms;
while 1 <= term_no do
array_x2[term_no] := array_x2_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_x2_higher[ord, term_no] :=
array_x2_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do;
order_diff := 2;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_x1_higher_work[2, iii] := array_x1_higher[2, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_x1_higher_work[ord, iii];
iii := iii - 1
end do;
array_x1_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_x1_higher_work[1, iii] := array_x1_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_x1_higher_work[ord, iii];
iii := iii - 1
end do;
array_x1_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_x1_higher_work[1, iii] := array_x1_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_x1_higher_work[ord, iii];
iii := iii - 1
end do;
array_x1_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
term_no := glob_max_terms;
while 1 <= term_no do
array_x1[term_no] := array_x1_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_x1_higher[ord, term_no] :=
array_x1_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do
end do;
omniout_str(ALWAYS, "Finished!");
if glob_max_iter <= glob_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!")
end if;
if convfloat(glob_max_sec) <=
elapsed_time_seconds() - convfloat(glob_orig_start_sec) then
omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!")
end if;
glob_clock_sec := elapsed_time_seconds();
omniout_str(INFO, "diff (x2,t,2) = 3.0 * diff(x2,t,1) - 2.0 * x2 \
- diff(x1,t,2) - diff (x1,t,1)+x1;");
omniout_str(INFO,
"diff (x1,t,1) = 4.0 * x2 - 2.0 * diff (x2,t ,1) - 2.0 * x1;")
;
omniout_int(INFO, "Iterations ", 32,
glob_iter, 4, " ");
prog_report(t_start, t_end);
if glob_html_log then
logstart(html_log_file);
logitem_str(html_log_file, "2013-01-28T17:15:07-06:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"mtest6_rev");
logitem_str(html_log_file, "diff (x2,t,2) = 3.0 * diff(x2,t,1\
) - 2.0 * x2 - diff(x1,t,2) - diff (x1,t,1)+x1;");
logitem_float(html_log_file, t_start);
logitem_float(html_log_file, t_end);
logitem_float(html_log_file, array_t[1]);
logitem_float(html_log_file, glob_h);
logitem_integer(html_log_file, Digits);
logitem_good_digits(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_max_terms);
logitem_float(html_log_file, array_1st_rel_error[1]);
logitem_float(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_iter);
logitem_pole(html_log_file, array_type_pole[1]);
if array_type_pole[1] = 1 or array_type_pole[1] = 2 then
logitem_float(html_log_file, array_pole[1]);
logitem_float(html_log_file, array_pole[2]);
0
else
logitem_str(html_log_file, "NA");
logitem_str(html_log_file, "NA");
0
end if;
logitem_time(html_log_file, convfloat(glob_clock_sec));
if glob_percent_done < 100.0 then
logitem_time(html_log_file, convfloat(glob_total_exp_sec));
0
else logitem_str(html_log_file, "Done"); 0
end if;
log_revs(html_log_file, " 165 | ");
logitem_str(html_log_file, "mtest6_rev diffeq.mxt");
logitem_str(html_log_file, "mtest6_rev maple results");
logitem_str(html_log_file, "All Tests - All Languages");
logend(html_log_file);
logditto(html_log_file);
logditto(html_log_file);
logditto(html_log_file);
logitem_str(html_log_file, "diff (x1,t,1) = 4.0 * x2 - 2.0 *\
diff (x2,t ,1) - 2.0 * x1;");
logditto(html_log_file);
logditto(html_log_file);
logditto(html_log_file);
logditto(html_log_file);
logditto(html_log_file);
logitem_good_digits(html_log_file, array_last_rel_error[2]);
logditto(html_log_file);
logitem_float(html_log_file, array_1st_rel_error[2]);
logitem_float(html_log_file, array_last_rel_error[2]);
logditto(html_log_file);
logitem_pole(html_log_file, array_type_pole[2]);
if array_type_pole[2] = 1 or array_type_pole[2] = 2 then
logitem_float(html_log_file, array_pole[1]);
logitem_float(html_log_file, array_pole[2]);
0
else
logitem_str(html_log_file, "NA");
logitem_str(html_log_file, "NA");
0
end if;
logditto(html_log_file);
if glob_percent_done < 100.0 then logditto(html_log_file); 0
else logditto(html_log_file); 0
end if;
logditto(html_log_file);
logditto(html_log_file);
logditto(html_log_file);
logditto(html_log_file);
logend(html_log_file)
end if;
if glob_html_log then fclose(html_log_file) end if
end if
end proc
> # End Function number 12
> main();
##############ECHO OF PROBLEM#################
##############temp/mtest6_revpostode.ode#################
diff (x2,t,2) = 3.0 * diff(x2,t,1) - 2.0 * x2 - diff(x1,t,2) - diff (x1,t,1)+x1;
diff (x1,t,1) = 4.0 * x2 - 2.0 * diff (x2,t ,1) - 2.0 * x1;
!
#BEGIN FIRST INPUT BLOCK
Digits:=64;
max_terms:=30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
## problem from Boyce DePrima -
## _Elementary Differential Equations and Boundary Value Problems_
## page 269
##
t_start := 1.5;
## did poorly with t_start := 0.5;
t_end := 5.0;
array_x1_init[0 + 1] := exact_soln_x1(t_start);
## I think following line should be omitted
## diff(x1,1,exact_soln_x1p(t_start));
array_x2_init[0 + 1] := exact_soln_x2(t_start);
array_x2_init[1 + 1] := exact_soln_x2p(t_start);
glob_look_poles := true;
glob_max_iter := 100;
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE BLOCK
glob_desired_digits_correct:=10;
glob_display_interval:=0.001;
glob_look_poles:=true;
glob_max_iter:=10000000;
glob_max_minutes:=3;
glob_subiter_method:=3;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_x1 := proc(t)
local c1,c2,c3;
c1 := 1.0;
c2 := 0.0002;
c3 := 0.0003;
return(2.0 * c1 + 6.0 * c3 * exp(-t));
end;
exact_soln_x1p := proc(t)
local c1,c2,c3;
c1 := 1.0;
c2 := 0.0002;
c3 := 0.0003;
return( - 6.0 * c3 * exp(-t));
end;
exact_soln_x2 := proc(t)
local c1,c2,c3;
c1 := 1.0;
c2 := 0.0002;
c3 := 0.0003;
return(c1 + c2 * exp(2.0 * t) + c3 * exp(-t));
end;
exact_soln_x2p := proc(t)
local c1,c2,c3;
c1 := 1.0;
c2 := 0.0002;
c3 := 0.0003;
return( 2.0 * c2 * exp(2.0 * t) - c3 * exp(-t));
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Optimize
min_size = 0
min_size = 1
opt_iter = 1
memory used=3.8MB, alloc=3.1MB, time=0.14
glob_desired_digits_correct = 10
desired_abs_gbl_error = 1.0000000000000000000000000000000e-10
range = 3.5
estimated_steps = 3500
step_error = 2.8571428571428571428571428571429e-14
est_needed_step_err = 2.8571428571428571428571428571429e-14
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
value3 = 7.1304008296095361171169457794767e-100
max_value3 = 7.1304008296095361171169457794767e-100
value3 = 7.1304008296095361171169457794767e-100
best_h = 0.001
START of Soultion
TOP MAIN SOLVE Loop
memory used=7.6MB, alloc=4.6MB, time=0.31
t[1] = 1.5
x2[1] (analytic) = 1.0040840464326820624968656900721
x2[1] (numeric) = 1.0040840464326820624968656900721
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
x1[1] (analytic) = 2.0004016342882671736920799048474
x1[1] (numeric) = 2.0004016342882671736920799048474
absolute error = 0
relative error = 0 %
Correct digits = 64
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.762e+04
Order of pole = 1.193e+08
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=4.6MB, time=0.48
memory used=15.2MB, alloc=4.7MB, time=0.65
t[1] = 1.501
x2[1] (analytic) = 1.0040920217814352549355990840483
x2[1] (numeric) = 1.0040920219825203059411840716547
absolute error = 2.0108505100558498760633967116234e-10
relative error = 2.0026555997210779418663970204021e-08 %
Correct digits = 9
h = 0.001
x1[1] (analytic) = 2.0004012328547291283353457585095
x1[1] (numeric) = 2.0004012324530948065986469285143
absolute error = 4.0163432173669882999519985185239e-10
relative error = 2.0077688172763981825334401753882e-08 %
Correct digits = 9
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.764e+04
Order of pole = 1.194e+08
TOP MAIN SOLVE Loop
memory used=19.0MB, alloc=4.7MB, time=0.82
t[1] = 1.502
x2[1] (analytic) = 1.0041000132976645181903676658179
x2[1] (numeric) = 1.0041000141030775562113837079041
absolute error = 8.0541303802101604208618940889713e-10
relative error = 8.0212431765226169113041482148620e-08 %
Correct digits = 9
h = 0.001
x1[1] (analytic) = 2.0004008318224239711438122894805
x1[1] (numeric) = 2.000400830215886282562661763273
absolute error = 1.6065376885811505262075564450922e-09
relative error = 8.0310788869126167001335656077177e-08 %
Correct digits = 9
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.766e+04
Order of pole = 1.196e+08
TOP MAIN SOLVE Loop
memory used=22.8MB, alloc=4.7MB, time=0.99
t[1] = 1.503
x2[1] (analytic) = 1.0041080210135364440697078518916
x2[1] (numeric) = 1.004108022828132374385180876944
absolute error = 1.8145959303154730250523838993419e-09
relative error = 1.8071720296426258126154198651019e-07 %
Correct digits = 8
h = 0.001
x1[1] (analytic) = 2.0004004311909506697789029463498
x1[1] (numeric) = 2.0004004275762393643420806046438
absolute error = 3.6147113054368223417060166502406e-09
relative error = 1.8069938643658368882939877704342e-07 %
Correct digits = 8
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.769e+04
Order of pole = 1.197e+08
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=4.7MB, time=1.17
t[1] = 1.504
x2[1] (analytic) = 1.0041160449612822225583946635362
x2[1] (numeric) = 1.0041160481915315505262312071071
absolute error = 3.2302493279678365435709088936365e-09
relative error = 3.2170079784875780393588468434256e-07 %
Correct digits = 8
h = 0.001
x1[1] (analytic) = 2.0004000309599085927339304069868
x1[1] (numeric) = 2.0004000245337514122564319270174
absolute error = 6.4261571804774984799693788652222e-09
relative error = 3.2124360532997260097015182594486e-07 %
Correct digits = 8
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.771e+04
Order of pole = 1.198e+08
TOP MAIN SOLVE Loop
memory used=30.5MB, alloc=4.7MB, time=1.34
t[1] = 1.505
x2[1] (analytic) = 1.0041240851731977709425604776091
x2[1] (numeric) = 1.0041240902271902408832143776889
absolute error = 5.0539924699406539000798570397909e-09
relative error = 5.0332349801856498849756999174757e-07 %
Correct digits = 8
h = 0.001
x1[1] (analytic) = 2.0003996311288975089334650384673
x1[1] (numeric) = 2.0003996210880193837841767696295
absolute error = 1.0040878125149288268837844315092e-08
relative error = 5.0194361011168850086401429192937e-07 %
Correct digits = 8
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.773e+04
Order of pole = 1.199e+08
TOP MAIN SOLVE Loop
memory used=34.3MB, alloc=4.7MB, time=1.51
memory used=38.1MB, alloc=4.8MB, time=1.68
t[1] = 1.506
x2[1] (analytic) = 1.0041321416816438631935228534126
x2[1] (numeric) = 1.0041321489690921053641964365107
absolute error = 7.2874482421706735830980638362477e-09
relative error = 7.2574593917153289552546177892550e-07 %
Correct digits = 8
h = 0.001
x1[1] (analytic) = 2.0003992316975175873331037882918
x1[1] (numeric) = 2.0003992172386398331596661814352
absolute error = 1.4458877754173437606856632075823e-08
relative error = 7.2279960545194706874265027998772e-07 %
Correct digits = 8
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.776e+04
Order of pole = 1.200e+08
TOP MAIN SOLVE Loop
memory used=41.9MB, alloc=4.8MB, time=1.86
t[1] = 1.507
x2[1] (analytic) = 1.0041402145190462596108391711686
x2[1] (numeric) = 1.0041402244512894452868214456174
absolute error = 9.9322431856759822744487899210070e-09
relative error = 9.8912911185747457940476972432782e-07 %
Correct digits = 8
h = 0.001
x1[1] (analytic) = 2.0003988326653693965196391066627
x1[1] (numeric) = 2.0003988129852089109696954218396
absolute error = 1.9680160485549943684823104400060e-08
relative error = 9.8381183612908452287489807399442e-07 %
Correct digits = 8
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.778e+04
Order of pole = 1.202e+08
TOP MAIN SOLVE Loop
memory used=45.7MB, alloc=4.8MB, time=2.03
t[1] = 1.508
x2[1] (analytic) = 1.0041483037178958367251068544194
x2[1] (numeric) = 1.0041483167079033414048852715679
absolute error = 1.2990007504679778417148519122615e-08
relative error = 1.2936343622335266933403006471541e-06 %
Correct digits = 7
h = 0.001
x1[1] (analytic) = 2.0003984340320539043116274999909
x1[1] (numeric) = 2.0003984083273223637496545138387
absolute error = 2.5704731540561972986152124193182e-08
relative error = 1.2849805870298979917299101105418e-06 %
Correct digits = 7
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 4.781e+04
Order of pole = 1.203e+08
TOP MAIN SOLVE Loop
memory used=49.5MB, alloc=4.8MB, time=2.20
t[1] = 1.509
x2[1] (analytic) = 1.0041564093107487174610289874451
x2[1] (numeric) = 1.0041564257731237922118454441186
absolute error = 1.6462375074750816456673437148779e-08
relative error = 1.6394233928209015981818424321520e-06 %
Correct digits = 7
h = 0.001
x1[1] (analytic) = 2.0003980357971724773603573161998
x1[1] (numeric) = 2.0003980032645755335792747457222
absolute error = 3.2532596943781082570477645373214e-08
relative error = 1.6263061831500258037793920714532e-06 %
Correct digits = 7
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.783e+04
Order of pole = 1.204e+08
TOP MAIN SOLVE Loop
memory used=53.4MB, alloc=4.8MB, time=2.38
t[1] = 1.51
x2[1] (analytic) = 1.0041645313302264015612661796507
x2[1] (numeric) = 1.0041645516812098525218221166674
absolute error = 2.0350983450960555937016719741191e-08
relative error = 2.0266582632630344600668979884066e-06 %
Correct digits = 7
h = 0.001
x1[1] (analytic) = 2.0003976379603268807512153627942
x1[1] (numeric) = 2.0003975977965633576779707170824
absolute error = 4.0163763523073244645711820151268e-08
relative error = 2.0077889895943676956999867152463e-06 %
Correct digits = 7
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 4.785e+04
Order of pole = 1.205e+08
TOP MAIN SOLVE Loop
memory used=57.2MB, alloc=4.8MB, time=2.55
t[1] = 1.511
x2[1] (analytic) = 1.0041726698090158962715965718187
x2[1] (numeric) = 1.0041726944664897723286462736074
absolute error = 2.4657473876057049701788668401452e-08
relative error = 2.4555013910851275234956431825923e-06 %
Correct digits = 7
h = 0.001
x1[1] (analytic) = 2.0003972405211192776054519590606
x1[1] (numeric) = 2.0003971919228803679997775244744
absolute error = 4.8598238909605674434586195793679e-08
relative error = 2.4294294115775449397760072565776e-06 %
Correct digits = 7
h = 0.001
memory used=61.0MB, alloc=4.8MB, time=2.72
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.788e+04
Order of pole = 1.206e+08
TOP MAIN SOLVE Loop
memory used=64.8MB, alloc=4.8MB, time=2.90
t[1] = 1.512
x2[1] (analytic) = 1.0041808247798698472879069241623
x2[1] (numeric) = 1.0041808541633611359435124437515
absolute error = 2.9383491288655605519589263768114e-08
relative error = 2.9261155524550937480548851953525e-06 %
Correct digits = 7
h = 0.001
x1[1] (analytic) = 2.0003968434791522286823440241646
x1[1] (numeric) = 2.0003967856431206908278826816618
absolute error = 5.7836031537854461342502867976020e-08
relative error = 2.8912278944244003913418866039812e-06 %
Correct digits = 7
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 4.790e+04
Order of pole = 1.208e+08
TOP MAIN SOLVE Loop
memory used=68.6MB, alloc=4.8MB, time=3.07
t[1] = 1.513
x2[1] (analytic) = 1.004188996275606669965538773233
x2[1] (numeric) = 1.0041890308062910014117942952321
absolute error = 3.4530684331446255521999139329906e-08
relative error = 3.4386638829459019986018893487808e-06 %
Correct digits = 7
h = 0.001
x1[1] (analytic) = 2.0003964468340286919817558033081
x1[1] (numeric) = 2.0003963789568780463687523689814
absolute error = 6.7877150645613003434326759216076e-08
relative error = 3.3931849235705384571428726161707e-06 %
Correct digits = 7
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.793e+04
Order of pole = 1.209e+08
TOP MAIN SOLVE Loop
memory used=72.4MB, alloc=4.8MB, time=3.25
t[1] = 1.514
x2[1] (analytic) = 1.0041971843291106807915146939654
x2[1] (numeric) = 1.004197224429816040209582605756
absolute error = 4.0100705359418067911790589883972e-08
relative error = 3.9933098782993259803051659675299e-06 %
Correct digits = 7
h = 0.001
x1[1] (analytic) = 2.0003960505853520223470968345063
x1[1] (numeric) = 2.0003959718637457483458516059528
absolute error = 7.8721606274001245228553499880930e-08
relative error = 3.9353010245629049855316657719670e-06 %
Correct digits = 7
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.795e+04
Order of pole = 1.210e+08
TOP MAIN SOLVE Loop
memory used=76.2MB, alloc=4.8MB, time=3.42
t[1] = 1.515
x2[1] (analytic) = 1.0042053889733322291201707544579
x2[1] (numeric) = 1.0042054350685426772205062228132
absolute error = 4.6095210448100335468355299037037e-08
relative error = 4.5902173951910991115176068314665e-06 %
Correct digits = 7
h = 0.001
x1[1] (analytic) = 2.0003956547327259710686767589437
x1[1] (numeric) = 2.000395564363316703592957940853
absolute error = 9.0369409267475718818090706705869e-08
relative error = 4.5175767630604070794578643047129e-06 %
Correct digits = 7
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 4.797e+04
Order of pole = 1.211e+08
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.8MB, time=3.60
t[1] = 1.516
x2[1] (analytic) = 1.0042136102412878291727223045192
x2[1] (numeric) = 1.0042136627571472309933977513995
absolute error = 5.2515859401820675446880277708401e-08
relative error = 5.2295506519974775290276755601549e-06 %
Correct digits = 7
h = 0.001
x1[1] (analytic) = 2.0003952592757546854874565782631
x1[1] (numeric) = 2.0003951564551834116470682505693
absolute error = 1.0282057127384038832769378044312e-07
relative error = 5.1400127448345728332462529650223e-06 %
Correct digits = 7
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.800e+04
Order of pole = 1.213e+08
memory used=83.9MB, alloc=4.8MB, time=3.77
TOP MAIN SOLVE Loop
memory used=87.7MB, alloc=4.8MB, time=3.94
t[1] = 1.517
x2[1] (analytic) = 1.004221848166060292301291294543
x2[1] (numeric) = 1.0042219075303760542813668320214
absolute error = 5.9364315761980075537478331193309e-08
relative error = 5.9114742295632134217966298844816e-06 %
Correct digits = 7
h = 0.001
x1[1] (analytic) = 2.0003948642140427085991959625386
x1[1] (numeric) = 2.0003947481389379643408982436379
absolute error = 1.1607510474425829771890068097997e-07
relative error = 5.8026096157702509941991451820695e-06 %
Correct digits = 7
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.802e+04
Order of pole = 1.214e+08
TOP MAIN SOLVE Loop
memory used=91.5MB, alloc=4.8MB, time=4.12
t[1] = 1.518
x2[1] (analytic) = 1.0042301027807988595179243789244
x2[1] (numeric) = 1.0042301694230456748628449992189
absolute error = 6.6642246815344920620294496612218e-08
relative error = 6.6361530719709408908439279927563e-06 %
Correct digits = 7
h = 0.001
x1[1] (analytic) = 2.0003944695471949786589962130809
x1[1] (numeric) = 2.0003943394141720453949742589674
absolute error = 1.3013302293326402195411348583162e-07
relative error = 6.5053680618663505500971645295499e-06 %
Correct digits = 7
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.805e+04
Order of pole = 1.215e+08
TOP MAIN SOLVE Loop
memory used=95.3MB, alloc=4.8MB, time=4.29
t[1] = 1.519
x2[1] (analytic) = 1.004238374118719334289132117994
x2[1] (numeric) = 1.0042384484700429366451672405596
absolute error = 7.4351323602356035122565596797316e-08
relative error = 7.4037524873119765344889875096265e-06 %
Correct digits = 7
h = 0.001
x1[1] (analytic) = 2.0003940752748168287862384846163
x1[1] (numeric) = 2.0003939302804769300093169523384
absolute error = 1.4499433989877692153227789712801e-07
relative error = 7.2482888092366202437120301041421e-06 %
Correct digits = 7
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.807e+04
Order of pole = 1.216e+08
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.8MB, time=4.47
t[1] = 1.52
x2[1] (analytic) = 1.0042466622131042155964806543355
x2[1] (numeric) = 1.0042467447063251410512565080421
absolute error = 8.2493220925454775853706622707570e-08
relative error = 8.2144381484585369596952654348196e-06 %
Correct digits = 7
h = 0.001
x1[1] (analytic) = 2.0003936813965139865699168717796
x1[1] (numeric) = 2.0003935207374434844547164623643
absolute error = 1.6065907050211520040941523387859e-07
relative error = 8.0313726241104680154840917279845e-06 %
Correct digits = 7
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.809e+04
Order of pole = 1.217e+08
TOP MAIN SOLVE Loop
memory used=102.9MB, alloc=4.8MB, time=4.65
t[1] = 1.521
x2[1] (analytic) = 1.004254967097302831263768303365
x2[1] (numeric) = 1.0042550581669201886899785681004
absolute error = 9.1069617357426210264735366738322e-08
relative error = 9.0683760938373754217921515295174e-06 %
Correct digits = 7
h = 0.001
x1[1] (analytic) = 2.0003932879118925736743659652513
x1[1] (numeric) = 2.0003931107846621656635986471865
absolute error = 1.7712723040801076731806483121861e-07
relative error = 8.8546203128338203755565448285655e-06 %
Correct digits = 7
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 4.812e+04
Order of pole = 1.219e+08
TOP MAIN SOLVE Loop
memory used=106.8MB, alloc=4.8MB, time=4.82
memory used=110.6MB, alloc=4.8MB, time=4.99
t[1] = 1.522
x2[1] (analytic) = 1.0042632888047314715513205641912
x2[1] (numeric) = 1.004263388886926721310735712917
absolute error = 1.0008219524975941514872586678748e-07
relative error = 9.9657327282048397963713569203004e-06 %
Correct digits = 7
h = 0.001
x1[1] (analytic) = 2.00039289482055910544538248327
x1[1] (numeric) = 2.0003927004217230208204819827718
absolute error = 1.9439883608462490050049816731771e-07
relative error = 9.7180327218700217063974414657529e-06 %
Correct digits = 7
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 4.814e+04
Order of pole = 1.220e+08
TOP MAIN SOLVE Loop
memory used=114.4MB, alloc=4.8MB, time=5.17
t[1] = 1.523
x2[1] (analytic) = 1.0042716273688735230179381250542
x2[1] (numeric) = 1.0042717369015142640428689945562
absolute error = 1.0953264074102493086950206921190e-07
relative error = 1.0906674823423354088667274557104e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003925021221204905167405846378
x1[1] (numeric) = 2.0003922896482156869520247132683
absolute error = 2.1247390480356471587136945247026e-07
relative error = 1.0621610737800773497279803302679e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.817e+04
Order of pole = 1.221e+08
TOP MAIN SOLVE Loop
memory used=118.2MB, alloc=4.8MB, time=5.34
t[1] = 1.524
x2[1] (analytic) = 1.0042799828232796026510335080572
x2[1] (numeric) = 1.0042801022459233679204397845032
absolute error = 1.1942264376526940627644596197716e-07
relative error = 1.1891369519239325687235128808398e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003921098161840304171004697374
x1[1] (numeric) = 2.0003918784637293905166618434665
absolute error = 2.3135245463990043862627084439061e-07
relative error = 1.1565355287327113511929334391113e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.819e+04
Order of pole = 1.222e+08
TOP MAIN SOLVE Loop
memory used=122.0MB, alloc=4.8MB, time=5.51
t[1] = 1.525
x2[1] (analytic) = 1.0042883552015676922654930704604
x2[1] (numeric) = 1.0042884849554657526929626045599
absolute error = 1.2975389806042746953409955206355e-07
relative error = 1.2919984324062480570236557831563e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003917179023574191773098764673
x1[1] (numeric) = 2.0003914668678529469938315630034
absolute error = 2.5103450447218347831346389970755e-07
relative error = 1.2549267337270434890688426499048e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.821e+04
Order of pole = 1.223e+08
TOP MAIN SOLVE Loop
memory used=125.8MB, alloc=4.8MB, time=5.69
t[1] = 1.526
x2[1] (analytic) = 1.0042967445374232731718021545144
x2[1] (numeric) = 1.0042968850655244499226623207022
absolute error = 1.4052810117675086016618774880418e-07
relative error = 1.3992687115746628674129524077915e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003913263802487429380980783973
x1[1] (numeric) = 2.0003910548601747604727906915349
absolute error = 2.7152007398246530738686233489571e-07
relative error = 1.3573347894573545188584347384745e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 4.824e+04
Order of pole = 1.225e+08
TOP MAIN SOLVE Loop
memory used=129.7MB, alloc=4.8MB, time=5.86
memory used=133.5MB, alloc=4.8MB, time=6.04
t[1] = 1.527
x2[1] (analytic) = 1.0043051508645994611139722546674
x2[1] (numeric) = 1.0043053026115539463688299394471
absolute error = 1.5174695448525485768477975313157e-07
relative error = 1.5109646142371861636038064768462e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003909352494664795581619928383
x1[1] (numeric) = 2.0003906424402828232410187336937
absolute error = 2.9280918365631714325914465120006e-07
relative error = 1.4637598006301765350728702953711e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.826e+04
Order of pole = 1.226e+08
TOP MAIN SOLVE Loop
memory used=137.3MB, alloc=4.8MB, time=6.21
t[1] = 1.528
x2[1] (analytic) = 1.0043135742169171414778101499894
x2[1] (numeric) = 1.0043137376290803276598523965296
absolute error = 1.6341216318618204224654022810641e-07
relative error = 1.6271030023028185122547314525945e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003905445096194982226440069126
x1[1] (numeric) = 2.0003902296077647153722101322339
absolute error = 3.1490185478285043387467867830605e-07
relative error = 1.5742018759644068626514467659342e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 4.829e+04
Order of pole = 1.227e+08
TOP MAIN SOLVE Loop
memory used=141.1MB, alloc=4.8MB, time=6.38
t[1] = 1.529
x2[1] (analytic) = 1.0043220146282651047700700308341
x2[1] (numeric) = 1.0043221901537014222534928802327
absolute error = 1.7552543631748342284939862557618e-07
relative error = 1.7477007748600587959130395416346e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003901541603170590520011301017
x1[1] (numeric) = 2.000389816362207604313854307358
absolute error = 3.3779810945473814682274361138726e-07
relative error = 1.6886611281914259424116083860430e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.831e+04
Order of pole = 1.228e+08
TOP MAIN SOLVE Loop
memory used=144.9MB, alloc=4.8MB, time=6.56
t[1] = 1.53
x2[1] (analytic) = 1.0043304721326001823690307320913
x2[1] (numeric) = 1.0043306602210869456859993865772
absolute error = 1.8808848676331696865448585492218e-07
relative error = 1.8727748682555550275866114011307e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003897642011688127112650821416
x1[1] (numeric) = 2.000389402703198244474403069803
absolute error = 3.6149797056823686201233865652660e-07
relative error = 1.8071376740552192106837340165849e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.833e+04
Order of pole = 1.230e+08
TOP MAIN SOLVE Loop
memory used=148.7MB, alloc=4.8MB, time=6.73
t[1] = 1.531
x2[1] (analytic) = 1.0043389467639473825470412708902
x2[1] (numeric) = 1.0043391478669786451106203607425
absolute error = 2.0110303126256357908985229073256e-07
relative error = 2.0023422561728992886549869030310e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003893746317848000196929255261
x1[1] (numeric) = 2.0003889886303229768100249948552
absolute error = 3.8600146182320966793067096116076e-07
relative error = 1.9296316343125029732890951114707e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.836e+04
Order of pole = 1.231e+08
TOP MAIN SOLVE Loop
memory used=152.5MB, alloc=4.8MB, time=6.90
memory used=156.4MB, alloc=4.8MB, time=7.08
t[1] = 1.532
x2[1] (analytic) = 1.0043474385564000267655789742922
x2[1] (numeric) = 1.0043476531271904441261074385824
absolute error = 2.1457079041736052846429021559998e-07
relative error = 2.1364199497115670119734694681218e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003889854517754515608078522664
x1[1] (numeric) = 2.0003885741431677284109463440473
absolute error = 4.1130860772314986150821908994390e-07
relative error = 2.0561431337328542740232975895404e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.838e+04
Order of pole = 1.232e+08
TOP MAIN SOLVE Loop
memory used=160.2MB, alloc=4.8MB, time=7.25
t[1] = 1.533
x2[1] (analytic) = 1.0043559475441198862433655723671
x2[1] (numeric) = 1.0043561760376085878957864639046
absolute error = 2.2849348870165242089153747137436e-07
relative error = 2.2750249974660008321664881737505e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003885966607515872928297349507
x1[1] (numeric) = 2.0003881592413180120873781208788
absolute error = 4.3741943357520545161407191306903e-07
relative error = 2.1866723010988447578114432235770e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.841e+04
Order of pole = 1.233e+08
TOP MAIN SOLVE Loop
memory used=164.0MB, alloc=4.8MB, time=7.43
t[1] = 1.534
x2[1] (analytic) = 1.0043644737613373187980877240834
x2[1] (numeric) = 1.0043647166341917885577791213211
absolute error = 2.4287285446975969139723763697554e-07
relative error = 2.4181744856048392252481068140399e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003882082583244161594950525322
x1[1] (numeric) = 2.0003877439243589259550288464858
absolute error = 4.6433396549020446620604640442794e-07
relative error = 2.3212192692061785287051683134992e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.843e+04
Order of pole = 1.235e+08
TOP MAIN SOLVE Loop
memory used=167.8MB, alloc=4.8MB, time=7.60
t[1] = 1.535
x2[1] (analytic) = 1.0043730172423514059622695376683
x2[1] (numeric) = 1.0043732749529713709269586909441
absolute error = 2.5771061996496468915327575373774e-07
relative error = 2.5658855379502901598483010686728e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003878202441055357012658016664
x1[1] (numeric) = 2.0003873281918751530202026407749
absolute error = 4.9205223038268106316089150183631e-07
relative error = 2.4597841748638340028956398792825e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.846e+04
Order of pole = 1.236e+08
TOP MAIN SOLVE Loop
memory used=171.6MB, alloc=4.8MB, time=7.78
t[1] = 1.536
x2[1] (analytic) = 1.004381578021530090373845743505
x2[1] (numeric) = 1.0043818510300514184892246000028
absolute error = 2.7300852132811537885649777125293e-07
relative error = 2.7181753160576499824634376071858e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003874326177069316669270048061
x1[1] (numeric) = 2.0003869120434509607644821941173
absolute error = 5.2057425597090244481068886170395e-07
relative error = 2.6023671588942097569205123958881e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.848e+04
Order of pole = 1.237e+08
TOP MAIN SOLVE Loop
memory used=175.4MB, alloc=4.8MB, time=7.95
memory used=179.2MB, alloc=4.8MB, time=8.13
t[1] = 1.537
x2[1] (analytic) = 1.0043901561333103134419852762448
x2[1] (numeric) = 1.0043904449016089196886816176016
absolute error = 2.8876829860624669634135677941941e-07
relative error = 2.8750610192949677592882759835061e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003870453787409776255724266522
x1[1] (numeric) = 2.0003864954786702007289962142872
absolute error = 5.4990007077689657621236504679364e-07
relative error = 2.7489683661332743712467712011048e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.850e+04
Order of pole = 1.238e+08
TOP MAIN SOLVE Loop
memory used=183.1MB, alloc=4.8MB, time=8.30
t[1] = 1.538
x2[1] (analytic) = 1.00439875161219815328871612362
x2[1] (numeric) = 1.00439905660389391450831071233
absolute error = 3.0499169576121959458871001808816e-07
relative error = 3.0365598849228552973247691954351e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.000386658526820434578978110945
x1[1] (numeric) = 2.0003860784971163080982709329116
absolute error = 5.8002970412648070717803341889064e-07
relative error = 2.8995879454307202694153121413570e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.853e+04
Order of pole = 1.239e+08
TOP MAIN SOLVE Loop
memory used=186.9MB, alloc=4.8MB, time=8.48
t[1] = 1.539
x2[1] (analytic) = 1.0044073644927689629669034024524
x2[1] (numeric) = 1.0044076861732296413447197682703
absolute error = 3.2168046067837781636581790711964e-07
relative error = 3.2026891881744430675999554029592e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003862720615584505743633499703
x1[1] (numeric) = 2.0003856610983723012836652552825
absolute error = 6.1096318614929069809468776910171e-07
relative error = 3.0542260496501215529370307838541e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.855e+04
Order of pole = 1.241e+08
TOP MAIN SOLVE Loop
memory used=190.7MB, alloc=4.8MB, time=8.65
t[1] = 1.54
x2[1] (analytic) = 1.0044159948096675089551337275755
x2[1] (numeric) = 1.0044163336460126841775635331457
absolute error = 3.3883634517522242980557021019363e-07
relative error = 3.3734662423354822534613050963682e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.000385885982568560317538699541
x1[1] (numeric) = 2.0003852432820207815063891369675
absolute error = 6.4270054777881114956257350792092e-07
relative error = 3.2128828356690958321341186195738e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.858e+04
Order of pole = 1.242e+08
TOP MAIN SOLVE Loop
memory used=194.5MB, alloc=4.8MB, time=8.83
t[1] = 1.541
x2[1] (analytic) = 1.0044246425976081099300600468175
x2[1] (numeric) = 1.0044249990587131200342233529027
absolute error = 3.5646110501010416330608522931599e-07
relative error = 3.5489083988245931470530085305228e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003855002894646847864406526027
x1[1] (numeric) = 2.0003848250476439323801047702367
absolute error = 6.7524182075240633588236605594441e-07
relative error = 3.3755584643794700531241881141429e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.860e+04
Order of pole = 1.243e+08
TOP MAIN SOLVE Loop
memory used=198.3MB, alloc=4.8MB, time=9.00
memory used=202.1MB, alloc=4.8MB, time=9.17
t[1] = 1.542
x2[1] (analytic) = 1.004433307891374775816762224842
x2[1] (numeric) = 1.0044336824478746667503384299379
absolute error = 3.7455649989093357620509591819205e-07
relative error = 3.7290330472736601172108510170250e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003851149818611308450525849963
x1[1] (numeric) = 2.0003844063948235194931101629064
absolute error = 7.0858703761135194242208992499013e-07
relative error = 3.5422531006874503211487732363281e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.863e+04
Order of pole = 1.244e+08
TOP MAIN SOLVE Loop
memory used=205.9MB, alloc=4.8MB, time=9.35
t[1] = 1.543
x2[1] (analytic) = 1.0044419907258213471176797705149
x2[1] (numeric) = 1.0044423838501148310267815274672
absolute error = 3.9312429348390910175695229662929e-07
relative error = 3.9138576156083733721465221847306e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003847300593725908577115873005
x1[1] (numeric) = 2.0003839873231408899901046917847
absolute error = 7.4273623170086760689551585918652e-07
relative error = 3.7129669135137957204516772102268e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 4.865e+04
Order of pole = 1.246e+08
TOP MAIN SOLVE Loop
memory used=209.8MB, alloc=4.8MB, time=9.52
t[1] = 1.544
x2[1] (analytic) = 1.0044506911358716345206742165598
x2[1] (numeric) = 1.0044511033021250567836732301926
absolute error = 4.1216625342226299901363284062603e-07
relative error = 4.1033995701289177404244330454731e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003843455216141423038007970602
x1[1] (numeric) = 2.0003835678321769721535362124829
absolute error = 7.7768943717015026458457731713906e-07
relative error = 3.8877000757939961309165647009969e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 4.867e+04
Order of pole = 1.247e+08
TOP MAIN SOLVE Loop
memory used=213.6MB, alloc=4.8MB, time=9.70
t[1] = 1.545
x2[1] (analytic) = 1.0044594091565195587867797765919
x2[1] (numeric) = 1.0044598408406708738120300614608
absolute error = 4.3168415131502525028486891012600e-07
relative error = 4.2976764155908086938653650717217e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003839613682012473928268460924
x1[1] (numeric) = 2.0003831479215122749845293069409
absolute error = 8.1344668897240829753915152036983e-07
relative error = 4.0664527644784540416771214587172e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.870e+04
Order of pole = 1.248e+08
TOP MAIN SOLVE Loop
memory used=217.4MB, alloc=4.8MB, time=9.87
t[1] = 1.546
x2[1] (analytic) = 1.0044681448228292909182020231808
x2[1] (numeric) = 1.0044685965025920467236429495269
absolute error = 4.5167976275580544092634605549173e-07
relative error = 4.4967056952858758361415419129274e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003835775987497526798820379481
x1[1] (numeric) = 2.0003827275907268877833942495938
absolute error = 8.5000802286489648778835427065701e-07
relative error = 4.2492251605326703619170306143897e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.872e+04
Order of pole = 1.249e+08
TOP MAIN SOLVE Loop
memory used=221.2MB, alloc=4.8MB, time=10.05
t[1] = 1.547
x2[1] (analytic) = 1.004476898169935392607125451393
x2[1] (numeric) = 1.0044773703248027241997837303475
absolute error = 4.7215486733159265827895451208979e-07
relative error = 4.7005049911233940809569902252439e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003831942128758886814908709918
x1[1] (numeric) = 2.0003823068394004797297162726901
absolute error = 8.8737347540895177459830175048182e-07
relative error = 4.4360174489374342290809413498050e-05 %
Correct digits = 6
h = 0.001
memory used=225.0MB, alloc=4.8MB, time=10.23
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.875e+04
Order of pole = 1.251e+08
TOP MAIN SOLVE Loop
memory used=228.8MB, alloc=4.8MB, time=10.40
t[1] = 1.548
x2[1] (analytic) = 1.0044856692330429569658919153076
x2[1] (numeric) = 1.0044861623442915885393385715263
absolute error = 4.9311124863157344665621864810090e-07
relative error = 4.9090919237113627438353347137524e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003828112101962694918405229456
x1[1] (numeric) = 2.000381885667112299462024710849
absolute error = 9.2554308397002981581209656732457e-07
relative error = 4.6268298186890168147215325526554e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.877e+04
Order of pole = 1.252e+08
TOP MAIN SOLVE Loop
memory used=232.7MB, alloc=4.8MB, time=10.58
t[1] = 1.549
x2[1] (analytic) = 1.0044944580474277495391130502935
x2[1] (numeric) = 1.0044949725981220055069684016353
absolute error = 5.1455069425596785535134187247814e-07
relative error = 5.1224841524379327716644472066439e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003824285903278923993949131268
x1[1] (numeric) = 2.0003814640734411746570416045274
absolute error = 9.6451688671774235330859938484251e-07
relative error = 4.8216624627993691282117013235338e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.880e+04
Order of pole = 1.253e+08
TOP MAIN SOLVE Loop
memory used=236.5MB, alloc=4.8MB, time=10.75
t[1] = 1.55
x2[1] (analytic) = 1.0045032646484363495982809213755
x2[1] (numeric) = 1.0045038011234321744818976311354
absolute error = 5.3647499582488361670975983718806e-07
relative error = 5.3406993755529823342736336870551e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003820463528881375038919589956
x1[1] (numeric) = 2.000381042057965511608509341644
absolute error = 1.0042949226258953826173516028150e-06
relative error = 5.0205155782963238185548338259560e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.882e+04
Order of pole = 1.254e+08
TOP MAIN SOLVE Loop
memory used=240.3MB, alloc=4.8MB, time=10.92
t[1] = 1.551
x2[1] (analytic) = 1.0045120890714862917194422678258
x2[1] (numeric) = 1.0045126479574352789079336555268
absolute error = 5.5888594898718849138770098038939e-07
relative error = 5.5637553302498410024442899610206e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003816644974947673337236440078
x1[1] (numeric) = 2.0003806196202632948055969161891
absolute error = 1.0448772314725281267278187039597e-06
relative error = 5.2233893662238009745300439679248e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.884e+04
Order of pole = 1.256e+08
TOP MAIN SOLVE Loop
memory used=244.1MB, alloc=4.8MB, time=11.10
t[1] = 1.552
x2[1] (analytic) = 1.0045209313520662076445028461727
x2[1] (numeric) = 1.0045215131374196370453208381826
absolute error = 5.8178535342940081799200985554635e-07
relative error = 5.7916697927471627368791792703428e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003812830237659264636985141534
x1[1] (numeric) = 2.0003801967599120865108843822253
absolute error = 1.0862638538399528141319280801098e-06
relative error = 5.4302840316420179234131937774868e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.887e+04
Order of pole = 1.257e+08
memory used=247.9MB, alloc=4.8MB, time=11.28
TOP MAIN SOLVE Loop
memory used=251.7MB, alloc=4.8MB, time=11.45
t[1] = 1.553
x2[1] (analytic) = 1.0045297915257359684267295081549
x2[1] (numeric) = 1.0045303967007488530250338795505
absolute error = 6.0517501288459830437139557674867e-07
relative error = 6.0244605783709479127786768685068e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003809019313201411331862209442
x1[1] (numeric) = 2.0003797734764890263379250812648
absolute error = 1.1284548311147952611396793836075e-06
relative error = 5.6411997836277030285184380888451e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.889e+04
Order of pole = 1.258e+08
TOP MAIN SOLVE Loop
memory used=255.5MB, alloc=4.8MB, time=11.63
t[1] = 1.554
x2[1] (analytic) = 1.0045386696281268268610187867455
x2[1] (numeric) = 1.0045392986848619682061166910709
absolute error = 6.2905673514134509790432538443745e-07
relative error = 6.2621455416367146047944805377259e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003805212197763188646437289939
x1[1] (numeric) = 2.0003793497695708308283852205842
absolute error = 1.1714502054880362585084097229024e-06
relative error = 5.8561368352743134858089652935514e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.892e+04
Order of pole = 1.259e+08
TOP MAIN SOLVE Loop
memory used=259.4MB, alloc=4.8MB, time=11.81
t[1] = 1.555
x2[1] (analytic) = 1.0045475656949415601995019022472
x2[1] (numeric) = 1.0045482191272736128366741062393
absolute error = 6.5343233205263717220399210063530e-07
relative error = 6.5047425763318193572523953775941e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003801408887537480825228067174
x1[1] (numeric) = 2.000378925638733793028760379617
absolute error = 1.2152500199550537624271003350724e-06
relative error = 6.0750954036922571198295354367530e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.894e+04
Order of pole = 1.261e+08
TOP MAIN SOLVE Loop
memory used=263.2MB, alloc=4.8MB, time=11.98
t[1] = 1.556
x2[1] (analytic) = 1.0045564797619546131530572416158
x2[1] (numeric) = 1.0045571580655741580191249777602
absolute error = 6.7830361954486606773614440158003e-07
relative error = 6.7522696155979276646558590524666e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003797609378720977325584190562
x1[1] (numeric) = 2.0003785010835537820666685211405
absolute error = 1.2598543183156658898979157230867e-06
relative error = 6.2980757100091181792173468550705e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.897e+04
Order of pole = 1.262e+08
TOP MAIN SOLVE Loop
memory used=267.0MB, alloc=4.8MB, time=12.16
t[1] = 1.557
x2[1] (analytic) = 1.0045654118650122411793025076075
x2[1] (numeric) = 1.0045661155374298679803264286882
absolute error = 7.0367241762680102392108069189727e-07
relative error = 7.0047446320136343876008731273437e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003793813667514169014376415198
x1[1] (numeric) = 2.0003780761036062427267190835492
absolute error = 1.3052631451741747185579706429357e-06
relative error = 6.5250779793698871320516928640852e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.899e+04
Order of pole = 1.263e+08
TOP MAIN SOLVE Loop
memory used=270.8MB, alloc=4.8MB, time=12.33
memory used=274.6MB, alloc=4.8MB, time=12.50
t[1] = 1.558
x2[1] (analytic) = 1.0045743620400326540576398800769
x2[1] (numeric) = 1.0045750915805830526471802468481
absolute error = 7.2954055039858954036677122226383e-07
relative error = 7.2621856376772343293509402022769e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003790021750121344368487152096
x1[1] (numeric) = 2.0003776506984661950259577300849
absolute error = 1.3514765459394108909851247660426e-06
relative error = 6.7561024409371944613068007132737e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.902e+04
Order of pole = 1.265e+08
TOP MAIN SOLVE Loop
memory used=278.4MB, alloc=4.8MB, time=12.68
t[1] = 1.559
x2[1] (analytic) = 1.0045833303230061597519286797709
x2[1] (numeric) = 1.0045840862328522205283336356602
absolute error = 7.5590984606077640495588925666287e-07
relative error = 7.5246106842896431984374682944351e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003786233622750585679098628765
x1[1] (numeric) = 2.0003772248677082337888863304672
absolute error = 1.3984945668247790235324093264690e-06
relative error = 6.9911493278915484606761761381993e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.904e+04
Order of pole = 1.266e+08
TOP MAIN SOLVE Loop
memory used=282.2MB, alloc=4.8MB, time=12.85
t[1] = 1.56
x2[1] (analytic) = 1.0045923167499953085613611752895
x2[1] (numeric) = 1.0045930995321322319025877607904
absolute error = 7.8278213692334122658550087117903e-07
relative error = 7.7920378632374691827668863058608e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003782449281613765259774864397
x1[1] (numeric) = 2.0003767986109065282220577499452
absolute error = 1.4463172548483039197364945911265e-06
relative error = 7.2302188774315770310407083575160e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 4.907e+04
Order of pole = 1.267e+08
TOP MAIN SOLVE Loop
memory used=286.1MB, alloc=4.8MB, time=13.03
t[1] = 1.561
x2[1] (analytic) = 1.0046013213571350375601183265024
x2[1] (numeric) = 1.0046021315163944523146287607871
absolute error = 8.1015925941475451043428465980233e-07
relative error = 8.0644853056762353608304104140170e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003778668722926541658333667755
x1[1] (numeric) = 2.000376371927634821488245020364
absolute error = 1.4949446578326775883464115653109e-06
relative error = 7.4733113307742734778567222895093e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.909e+04
Order of pole = 1.268e+08
TOP MAIN SOLVE Loop
memory used=289.9MB, alloc=4.8MB, time=13.20
t[1] = 1.562
x2[1] (analytic) = 1.0046103441806328153263834126454
x2[1] (numeric) = 1.0046111822236869063786971210729
absolute error = 8.3804305409105231370842754049509e-07
relative error = 8.3419711826137531757260037612489e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003774891942908355872504869628
x1[1] (numeric) = 2.0003759448174664302801844674168
absolute error = 1.5443768244053070660195459661999e-06
relative error = 7.7204269331552463097440971031604e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.911e+04
Order of pole = 1.270e+08
TOP MAIN SOLVE Loop
memory used=293.7MB, alloc=4.8MB, time=13.38
memory used=297.5MB, alloc=4.8MB, time=13.55
t[1] = 1.563
x2[1] (analytic) = 1.0046193852567687869612926505592
x2[1] (numeric) = 1.0046202516921344318908125443305
absolute error = 8.6643536564492951989377130402930e-07
relative error = 8.6245137049936471978145737973594e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003771118937782427569371005512
x1[1] (numeric) = 2.0003755172799742443938923678241
absolute error = 1.5946138039983630447327271642940e-06
relative error = 7.9715659338289730385585029757254e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.914e+04
Order of pole = 1.271e+08
TOP MAIN SOLVE Loop
memory used=301.3MB, alloc=4.8MB, time=13.73
t[1] = 1.564
x2[1] (analytic) = 1.0046284446218959193984030680971
x2[1] (numeric) = 1.0046293399599388342501726864639
absolute error = 8.9533804291485176961836683664464e-07
relative error = 8.9121311237790314019438459148462e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003767349703775751308586667967
x1[1] (numeric) = 2.0003750893147307263015547097572
absolute error = 1.6456556468488293039570395079407e-06
relative error = 8.2267285860690579812357411062399e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.916e+04
Order of pole = 1.272e+08
TOP MAIN SOLVE Loop
memory used=305.1MB, alloc=4.8MB, time=13.90
t[1] = 1.565
x2[1] (analytic) = 1.0046375223124401470042590596031
x2[1] (numeric) = 1.0046384470653790411903453659324
absolute error = 9.2475293889418608630632938384635e-07
relative error = 9.2048417300363371852836314463147e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003763584237119092769372751849
x1[1] (numeric) = 2.0003746609213079107239896293967
absolute error = 1.6975024039985529476457882098733e-06
relative error = 8.4859151471684940637001056358417e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.919e+04
Order of pole = 1.273e+08
TOP MAIN SOLVE Loop
memory used=308.9MB, alloc=4.8MB, time=14.08
t[1] = 1.566
x2[1] (analytic) = 1.0046466183649005174706402145734
x2[1] (numeric) = 1.0046475730468112578208750953525
absolute error = 9.5468191074035023488077911571329e-07
relative error = 9.5026638550192933519253654744256e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003759822534046984981281819428
x1[1] (numeric) = 2.000374232099277404202682096086
absolute error = 1.7501541272942954460858567879165e-06
relative error = 8.7491258784399286271326201550287e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 4.921e+04
Order of pole = 1.275e+08
TOP MAIN SOLVE Loop
memory used=312.8MB, alloc=4.8MB, time=14.25
t[1] = 1.567
x2[1] (analytic) = 1.0046557328158493379990741771478
x2[1] (numeric) = 1.0046567179426691219799260278448
absolute error = 9.8512681978398085185069691359582e-07
relative error = 9.8056158702530582905068180115903e-05 %
Correct digits = 6
h = 0.001
x1[1] (analytic) = 2.0003756064590797724558730816157
x1[1] (numeric) = 2.0003738028482103846713904181178
absolute error = 1.8036108693877844826634979154700e-06
relative error = 9.0163610452159332368989359385815e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 4.924e+04
Order of pole = 1.276e+08
TOP MAIN SOLVE Loop
memory used=316.6MB, alloc=4.8MB, time=14.43
memory used=320.4MB, alloc=4.9MB, time=14.60
t[1] = 1.568
x2[1] (analytic) = 1.0046648657019323217781994629511
x2[1] (numeric) = 1.0046658817914638598985846566771
absolute error = 1.0160895315381203851937260343456e-06
relative error = 0.00010113716187618504571229773683366 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003752310403613367939297371606
x1[1] (numeric) = 2.0003733731676776010273241407561
absolute error = 1.8578726837357666055964044518809e-06
relative error = 9.2876209168492774944406139445630e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 4.926e+04
Order of pole = 1.277e+08
TOP MAIN SOLVE Loop
memory used=324.2MB, alloc=4.9MB, time=14.78
t[1] = 1.569
x2[1] (analytic) = 1.0046740170598687347545643310157
x2[1] (numeric) = 1.0046750646317844421774468553221
absolute error = 1.0475719157074228825243064321544e-06
relative error = 0.00010426983259436656188744222808603 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003748559968739727625775923885
x1[1] (numeric) = 2.0003729430572493727018929076761
absolute error = 1.9129396246000606846847123891640e-06
relative error = 9.5629057667132068524374479482125e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.929e+04
Order of pole = 1.279e+08
TOP MAIN SOLVE Loop
memory used=328.0MB, alloc=4.9MB, time=14.95
t[1] = 1.57
x2[1] (analytic) = 1.0046831869264515426974489820757
x2[1] (numeric) = 1.0046842665022977400761150961161
absolute error = 1.0795758461973786661140403412281e-06
relative error = 0.0001074543557855327867747720339191 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003744813282426368431989909583
x1[1] (numeric) = 2.0003725125164955892310258565658
absolute error = 1.9688117470476121731343924705280e-06
relative error = 9.8422158722017244335524219583518e-05 %
Correct digits = 6
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.931e+04
Order of pole = 1.280e+08
TOP MAIN SOLVE Loop
memory used=331.8MB, alloc=4.9MB, time=15.13
t[1] = 1.571
x2[1] (analytic) = 1.0046923753385475585582995304244
x2[1] (numeric) = 1.00469348744174868211623293928
absolute error = 1.1121032011235579334088555570488e-06
relative error = 0.00011069091678423622326087871679316 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003741070340926603732356265062
x1[1] (numeric) = 2.0003720815449857098250611192138
absolute error = 2.0254891069505481745072923086198e-06
relative error = 0.00010125551514729876853074831286788 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.934e+04
Order of pole = 1.281e+08
TOP MAIN SOLVE Loop
memory used=335.6MB, alloc=4.9MB, time=15.30
t[1] = 1.572
x2[1] (analytic) = 1.0047015823330975901253633747911
x2[1] (numeric) = 1.0047027274889604109986851401481
absolute error = 1.1451558628208733217653570126787e-06
relative error = 0.00011397970133197318717832651193884 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003737331140497491715198488642
x1[1] (numeric) = 2.0003716501422887629382049959683
absolute error = 2.0829717609862333148528959581198e-06
relative error = 0.00010412912979734044045781033313789 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.936e+04
Order of pole = 1.282e+08
TOP MAIN SOLVE Loop
memory used=339.5MB, alloc=4.9MB, time=15.48
memory used=343.3MB, alloc=4.9MB, time=15.65
t[1] = 1.573
x2[1] (analytic) = 1.0047108079471165879741167743094
x2[1] (numeric) = 1.0047119866828344408355929810474
absolute error = 1.1787357178528614762067380428498e-06
relative error = 0.00011732089557803430823725409150381 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003733595677399831639804517021
x1[1] (numeric) = 2.000371218307973345837560374029
absolute error = 2.1412597666373264200776730791016e-06
relative error = 0.00010704300556672233097336231118705 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.939e+04
Order of pole = 1.284e+08
TOP MAIN SOLVE Loop
memory used=347.1MB, alloc=4.9MB, time=15.82
t[1] = 1.574
x2[1] (analytic) = 1.004720052217693793714076618632
x2[1] (numeric) = 1.0047212650623508146977356953925
absolute error = 1.2128446570209836590767604765090e-06
relative error = 0.00012071468608035656875477527400908 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003729863947898160097225672957
x1[1] (numeric) = 2.0003707860416076241717239586006
absolute error = 2.2003531821918379986086950652311e-06
relative error = 0.00010999714539024376080564630727877 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 4.941e+04
Order of pole = 1.285e+08
TOP MAIN SOLVE Loop
memory used=350.9MB, alloc=4.9MB, time=16.00
t[1] = 1.575
x2[1] (analytic) = 1.0047293151819928885325895665967
x2[1] (numeric) = 1.0047305626665682624780301152044
absolute error = 1.2474845753739454405486077127317e-06
relative error = 0.00012416125980637688245301465108613 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003726135948260747274812945031
x1[1] (numeric) = 2.0003703533427593315389518855023
absolute error = 2.2602520667431885294090008052077e-06
relative error = 0.00011299155224292631896919250775778 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.943e+04
Order of pole = 1.286e+08
TOP MAIN SOLVE Loop
memory used=354.7MB, alloc=4.9MB, time=16.18
t[1] = 1.576
x2[1] (analytic) = 1.004738596877252142036192915571
x2[1] (numeric) = 1.0047398795346243590717019394386
absolute error = 1.2826573722170355090238675307809e-06
relative error = 0.00012766080413388721559758944674097 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003722411674759593224486864025
x1[1] (numeric) = 2.0003699202109957690548932834024
absolute error = 2.3209564801902675554030000976750e-06
relative error = 0.00011602622914001692123486601883565 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.946e+04
Order of pole = 1.287e+08
TOP MAIN SOLVE Loop
memory used=358.5MB, alloc=4.9MB, time=16.36
t[1] = 1.577
x2[1] (analytic) = 1.0047478973407845613901427537052
x2[1] (numeric) = 1.004749215705735682873783289217
absolute error = 1.3183649511214836405355118785115e-06
relative error = 0.0001312135068518912527493122350638 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003718691123670424134737244172
x1[1] (numeric) = 2.000369486645883804919891353409
absolute error = 2.3824664832374935823710081499246e-06
relative error = 0.00011910117913699090865865392035532 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.948e+04
Order of pole = 1.289e+08
TOP MAIN SOLVE Loop
memory used=362.4MB, alloc=4.9MB, time=16.53
memory used=366.2MB, alloc=4.9MB, time=16.71
t[1] = 1.578
x2[1] (analytic) = 1.0047572166099780407567061398036
x2[1] (numeric) = 1.0047585712191979745945724873131
absolute error = 1.3546092199338378663475095908825e-06
relative error = 0.00013481955616146260940284034462555 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003714974291272688606349061289
x1[1] (numeric) = 2.0003690526469898739858515333188
absolute error = 2.4447821373948747833728100599230e-06
relative error = 0.00012221640532955518617262353682027 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.951e+04
Order of pole = 1.290e+08
TOP MAIN SOLVE Loop
memory used=370.0MB, alloc=4.9MB, time=16.88
t[1] = 1.579
x2[1] (analytic) = 1.0047665547222955110328152503977
x2[1] (numeric) = 1.0047679461143862963936932730329
absolute error = 1.3913920907853608780226352292389e-06
relative error = 0.00013847914067660459378693679570215 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003711261173849553931850743518
x1[1] (numeric) = 2.0003686182138799773226763133921
absolute error = 2.5079035049780705087609597102810e-06
relative error = 0.00012537191085365140124152228220927 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.953e+04
Order of pole = 1.291e+08
TOP MAIN SOLVE Loop
memory used=373.8MB, alloc=4.9MB, time=17.06
t[1] = 1.58
x2[1] (analytic) = 1.0047759117152750898876826308634
x2[1] (numeric) = 1.0047773404307551913333919399867
absolute error = 1.4287154801014457093091233201127e-06
relative error = 0.00014219244942511152010193437354495 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003707551767687902378681154121
x1[1] (numeric) = 2.000368183346119681784266270089
absolute error = 2.5718306491084536018453230925942e-06
relative error = 0.00012856769888545916258852883912387 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.956e+04
Order of pole = 1.293e+08
TOP MAIN SOLVE Loop
memory used=377.6MB, alloc=4.9MB, time=17.23
t[1] = 1.581
x2[1] (analytic) = 1.0047852876265302321009778870863
x2[1] (numeric) = 1.0047867542078388431517121631488
absolute error = 1.4665813086110507342760625280473e-06
relative error = 0.00014595967184943157547090886044557 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003703846069078327476071549484
x1[1] (numeric) = 2.0003677480432741195740868837667
absolute error = 2.6365636337131735202711817318873e-06
relative error = 0.00013180377264139929899370484167008 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.958e+04
Order of pole = 1.294e+08
TOP MAIN SOLVE Loop
memory used=381.4MB, alloc=4.9MB, time=17.41
t[1] = 1.582
x2[1] (analytic) = 1.0047946824937498802021673562374
x2[1] (numeric) = 1.0047961874852512363561885630664
absolute error = 1.5049915013561540212068290394869e-06
relative error = 0.00014978099780753124288196945427118 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003700144074315130305638799242
x1[1] (numeric) = 2.0003673123049079878103007059066
absolute error = 2.7021025235252202631740175945280e-06
relative error = 0.00013508013537813715816873564519486 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 4.961e+04
Order of pole = 1.295e+08
TOP MAIN SOLVE Loop
memory used=385.2MB, alloc=4.9MB, time=17.58
t[1] = 1.583
x2[1] (analytic) = 1.0048040963546986154116194996898
x2[1] (numeric) = 1.0048056403026863166387013391128
absolute error = 1.5439479877012270818394229838554e-06
relative error = 0.0001536566175737612823999639140881 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003696445779696315795686159077
x1[1] (numeric) = 2.0003668761305855480904644410011
absolute error = 2.7684473840834891041749066397224e-06
relative error = 0.00013839679039258594571158818461836 %
Correct digits = 5
h = 0.001
memory used=389.1MB, alloc=4.9MB, time=17.76
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.963e+04
Order of pole = 1.297e+08
TOP MAIN SOLVE Loop
memory used=392.9MB, alloc=4.9MB, time=17.93
t[1] = 1.584
x2[1] (analytic) = 1.004813529247216808884079967984
x2[1] (numeric) = 1.0048151126999181516121355902804
absolute error = 1.5834527013427280556222963939771e-06
relative error = 0.00015758672183972427292677291673474 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.000369275118152358901920789053
x1[1] (numeric) = 2.000366439519870626055790507799
absolute error = 2.8355982817328461302812540153790e-06
relative error = 0.00014175374102191010414475334666169 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.966e+04
Order of pole = 1.298e+08
TOP MAIN SOLVE Loop
memory used=396.7MB, alloc=4.9MB, time=18.11
t[1] = 1.585
x2[1] (analytic) = 1.0048229812092207732551214970438
x2[1] (numeric) = 1.0048246047168010918694902311901
absolute error = 1.6235075803186143687341463320025e-06
relative error = 0.00016157150171514371679023240370149 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003689060276102351495594025799
x1[1] (numeric) = 2.0003660024723266109549726441701
absolute error = 2.9035552836241945867584098045385e-06
relative error = 0.0001451509906435287320407797098044 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.968e+04
Order of pole = 1.299e+08
TOP MAIN SOLVE Loop
memory used=400.5MB, alloc=4.9MB, time=18.28
t[1] = 1.586
x2[1] (analytic) = 1.0048324522787029144911750065581
x2[1] (numeric) = 1.0048341163932699323660827027508
absolute error = 1.6641145670178749076961927006888e-06
relative error = 0.00016561114872873470944257426704941 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003685373059741697496031579248
x1[1] (numeric) = 2.0003655649875164552075751194146
absolute error = 2.9723184577145420280385101995145e-06
relative error = 0.00014858854267511904323884493935112 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.971e+04
Order of pole = 1.300e+08
TOP MAIN SOLVE Loop
memory used=404.3MB, alloc=4.9MB, time=18.46
t[1] = 1.587
x2[1] (analytic) = 1.004841942493731884043749485588
x2[1] (numeric) = 1.0048436477693400741254969712552
absolute error = 1.7052756081900817474856672455689e-06
relative error = 0.00016970585482907617655011448763675 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003681689528754410352598511017
x1[1] (numeric) = 2.0003651270650026739669851174067
absolute error = 3.0418878727670682747336950181811e-06
relative error = 0.00015206640057461986615615056358234 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.973e+04
Order of pole = 1.302e+08
TOP MAIN SOLVE Loop
memory used=408.1MB, alloc=4.9MB, time=18.64
t[1] = 1.588
x2[1] (analytic) = 1.004851451892452731308449467024
x2[1] (numeric) = 1.0048531988851076862699236066326
absolute error = 1.7469926549549614741396086542097e-06
relative error = 0.00017385581238548468075674371957655 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003678009679456958771046751835
x1[1] (numeric) = 2.0003646887043473446829278535249
absolute error = 3.1122635983511941768216585812891e-06
relative error = 0.00015558456784023518319796530064413 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.976e+04
Order of pole = 1.303e+08
memory used=411.9MB, alloc=4.9MB, time=18.81
TOP MAIN SOLVE Loop
memory used=415.8MB, alloc=4.9MB, time=18.99
t[1] = 1.589
x2[1] (analytic) = 1.0048609805130870563894001115296
x2[1] (numeric) = 1.0048627697807498683755420301184
absolute error = 1.7892676628119861419185887980266e-06
relative error = 0.00017806121418888980040458823223526 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003674333508169493147270601806
x1[1] (numeric) = 2.0003642499051121066635439878834
absolute error = 3.1834457048426511830722971420905e-06
relative error = 0.00015914304801043771027018155463493 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.978e+04
Order of pole = 1.304e+08
TOP MAIN SOLVE Loop
memory used=419.6MB, alloc=4.9MB, time=19.16
t[1] = 1.59
x2[1] (analytic) = 1.0048705283939331631696911430512
x2[1] (numeric) = 1.0048723604965248131535963237386
absolute error = 1.8321025916499839051806873642659e-06
relative error = 0.00018232225345271108249600899548097 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003670661011215841887456819654
x1[1] (numeric) = 2.0003638106668581606370288969431
absolute error = 3.2554342634235517167850223007183e-06
relative error = 0.00016274184466397251639828915330971 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.981e+04
Order of pole = 1.306e+08
TOP MAIN SOLVE Loop
memory used=423.4MB, alloc=4.9MB, time=19.34
t[1] = 1.591
x2[1] (analytic) = 1.0048800955733662126884521018664
x2[1] (numeric) = 1.0048819710727719694578172987531
absolute error = 1.8754994057567693651968867157095e-06
relative error = 0.00018663912381373657218189344524043 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003666992184923507731912722561
x1[1] (numeric) = 2.0003633709891462683128333651399
absolute error = 3.3282293460824603579071161464973e-06
relative error = 0.00016638096141986068345670985898034 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.983e+04
Order of pole = 1.307e+08
TOP MAIN SOLVE Loop
memory used=427.2MB, alloc=4.9MB, time=19.51
t[1] = 1.592
x2[1] (analytic) = 1.0048896820898383768251726074852
x2[1] (numeric) = 1.0048916015499122056188448275613
absolute error = 1.9194600738287936722200761189674e-06
relative error = 0.00019101201933300292106196801432702 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003663327025623664082568620428
x1[1] (numeric) = 2.0003629308715367519424252577325
absolute error = 3.4018310256144658316043102524746e-06
relative error = 0.00017006040193740300601247564858291 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.986e+04
Order of pole = 1.308e+08
TOP MAIN SOLVE Loop
memory used=431.0MB, alloc=4.9MB, time=19.69
t[1] = 1.593
x2[1] (analytic) = 1.0048992879818789922918825525156
x2[1] (numeric) = 1.0049012519684479731063057535504
absolute error = 1.9639865689808144232010348251427e-06
relative error = 0.00019544113449667707658361977721794 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003659665529651151334150912078
x1[1] (numeric) = 2.0003624903135894938796117356307
absolute error = 3.4762393756212538033555770987473e-06
relative error = 0.00017378016991618373128727322854425 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 4.988e+04
Order of pole = 1.310e+08
TOP MAIN SOLVE Loop
memory used=434.8MB, alloc=4.9MB, time=19.86
memory used=438.6MB, alloc=4.9MB, time=20.04
t[1] = 1.594
x2[1] (analytic) = 1.0049089132880947149338083798598
x2[1] (numeric) = 1.004910922368963470519204005967
absolute error = 2.0090808687555853956261071960435e-06
relative error = 0.00019992666421693955482646245590435 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003656007693344473209022174546
x1[1] (numeric) = 2.0003620493148639361404215725256
absolute error = 3.5514544705111804806449290254447e-06
relative error = 0.0001775402690960743392419167250489 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.991e+04
Order of pole = 1.311e+08
TOP MAIN SOLVE Loop
memory used=442.5MB, alloc=4.9MB, time=20.21
t[1] = 1.595
x2[1] (analytic) = 1.0049185580471696743391228293312
x2[1] (numeric) = 1.0049206127921248079052808621217
absolute error = 2.0547449551335661580327904725314e-06
relative error = 0.00020446880383286929896061548568873 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003652353513045793095684580319
x1[1] (numeric) = 2.0003616078749190799625471342055
absolute error = 3.6274763854993470213238264132979e-06
relative error = 0.00018134070325723736278734997062021 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.993e+04
Order of pole = 1.312e+08
TOP MAIN SOLVE Loop
memory used=446.3MB, alloc=4.9MB, time=20.39
t[1] = 1.596
x2[1] (analytic) = 1.0049282222978656287584067759716
x2[1] (numeric) = 1.0049303232786801714100046170988
absolute error = 2.1009808145426515978411272072108e-06
relative error = 0.00020906774911133012566738476308876 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.000364870298510093039094298102
x1[1] (numeric) = 2.0003611659933134853643455794985
absolute error = 3.7043051966076747487186034604061e-06
relative error = 0.00018518147622013024812631929362266 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.996e+04
Order of pole = 1.313e+08
TOP MAIN SOLVE Loop
memory used=450.1MB, alloc=4.9MB, time=20.56
t[1] = 1.597
x2[1] (analytic) = 1.0049379060790221203344430210142
x2[1] (numeric) = 1.0049400538694599882558502416444
absolute error = 2.1477904378679214072206301603475e-06
relative error = 0.00021372369624785876181174001071102 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003645056105859356845723999694
x1[1] (numeric) = 2.0003607236696052707033988418427
absolute error = 3.7819409806649811735581266688915e-06
relative error = 0.00018906259184550925522989720840369 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 4.998e+04
Order of pole = 1.315e+08
TOP MAIN SOLVE Loop
memory used=453.9MB, alloc=4.9MB, time=20.74
t[1] = 1.598
x2[1] (analytic) = 1.0049476094295566306429631375845
x2[1] (numeric) = 1.0049498046053770920525309320524
absolute error = 2.1951758204614095677944679151500e-06
relative error = 0.00021843684186755447365667631361907 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003641412871674192914547477528
x1[1] (numeric) = 2.0003602809033521122346319500448
absolute error = 3.8603838153070568227977079754389e-06
relative error = 0.00019298405403443339845307690035912 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.001e+04
Order of pole = 1.316e+08
TOP MAIN SOLVE Loop
memory used=457.7MB, alloc=4.9MB, time=20.92
memory used=461.5MB, alloc=4.9MB, time=21.09
t[1] = 1.599
x2[1] (analytic) = 1.0049573323884647365449697168592
x2[1] (numeric) = 1.0049595755274268884388447816642
absolute error = 2.2431389621518938750648049365360e-06
relative error = 0.00022320738302597029091022622552772 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003637773278902204108646624461
x1[1] (numeric) = 2.0003598376941112436679892463448
absolute error = 3.9396337789767428754161013560340e-06
relative error = 0.00019694586672826842729369690226376 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.003e+04
Order of pole = 1.317e+08
TOP MAIN SOLVE Loop
memory used=465.4MB, alloc=4.9MB, time=21.26
t[1] = 1.6
x2[1] (analytic) = 1.0049670749948202663512576065259
x2[1] (numeric) = 1.0049693666766875210568011320465
absolute error = 2.2916818672547055435255206070645e-06
relative error = 0.00022803551721000582789655382795036 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003634137323903797352733226818
x1[1] (numeric) = 2.000359394041439455725668059463
absolute error = 4.0196909509240096052632187083662e-06
relative error = 0.00020094803390869084729899486579495 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.006e+04
Order of pole = 1.319e+08
TOP MAIN SOLVE Loop
memory used=469.2MB, alloc=4.9MB, time=21.44
t[1] = 1.601
x2[1] (analytic) = 1.0049768372877754562997589819954
x2[1] (numeric) = 1.0049791780943200378586924930237
absolute error = 2.3408065445815589335110282563414e-06
relative error = 0.00023292144233880170414321316769848 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003630505003043017345404268716
x1[1] (numeric) = 2.0003589499448930956989093898638
absolute error = 4.1005554112060356310370078661511e-06
relative error = 0.00020499055959769198112412884532833 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.008e+04
Order of pole = 1.320e+08
TOP MAIN SOLVE Loop
memory used=473.0MB, alloc=4.9MB, time=21.61
t[1] = 1.602
x2[1] (analytic) = 1.0049866193065611073463383419391
x2[1] (numeric) = 1.0049890098215685577477792545167
absolute error = 2.3905150074504014409125776880578e-06
relative error = 0.00023786535676463556667729051402127 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003626876312687542923186327674
x1[1] (numeric) = 2.0003585054040280670043451640246
absolute error = 4.1822272406872879734687427288513e-06
relative error = 0.00020907344785758206974704402983972 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.011e+04
Order of pole = 1.321e+08
TOP MAIN SOLVE Loop
memory used=476.8MB, alloc=4.9MB, time=21.78
t[1] = 1.603
x2[1] (analytic) = 1.004996421090486742269664773335
x2[1] (numeric) = 1.0049988618997604375532557495885
absolute error = 2.4408092736952835909762535347229e-06
relative error = 0.00024286745927381971632377278196423 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003623251249208683428214108436
x1[1] (numeric) = 2.0003580604183998287399016140609
absolute error = 4.2647065210396029197967826987607e-06
relative error = 0.00021319670279099441384410238314077 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.013e+04
Order of pole = 1.323e+08
TOP MAIN SOLVE Loop
memory used=480.6MB, alloc=4.9MB, time=21.96
memory used=484.4MB, alloc=4.9MB, time=22.14
t[1] = 1.604
x2[1] (analytic) = 1.0050062426789407630907900873397
x2[1] (numeric) = 1.0050087343703064393401675672169
absolute error = 2.4916913656762493774798772676061e-06
relative error = 0.00024792794908760034030009317865172 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003619629808981375079539482723
x1[1] (numeric) = 2.0003576149875633952402583386064
absolute error = 4.3479933347422676956096659059475e-06
relative error = 0.00021736032854088955533093218274652 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.016e+04
Order of pole = 1.324e+08
TOP MAIN SOLVE Loop
memory used=488.2MB, alloc=4.9MB, time=22.31
t[1] = 1.605
x2[1] (analytic) = 1.0050160841113906088080626859408
x2[1] (numeric) = 1.005018627274700898054951355124
absolute error = 2.5431633102892468886691831925535e-06
relative error = 0.00025304702586305835340139955923556 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003616011988384177348067406191
x1[1] (numeric) = 2.000357169111073335631862600411
absolute error = 4.4320877650821029441402080709575e-06
relative error = 0.00022156432929055949907299398345744 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.018e+04
Order of pole = 1.325e+08
TOP MAIN SOLVE Loop
memory used=492.1MB, alloc=4.9MB, time=22.49
t[1] = 1.606
x2[1] (analytic) = 1.0050259454273829134480082805118
x2[1] (numeric) = 1.0050285406545218895072696974805
absolute error = 2.5952271389760592614169686060397e-06
relative error = 0.0002582248896940118500716710439218 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003612397783799269335115087553
x1[1] (numeric) = 2.000356722788483773387498415669
absolute error = 4.5169898961535460130930863062474e-06
relative error = 0.00022580870926363197477039907327305 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.021e+04
Order of pole = 1.327e+08
TOP MAIN SOLVE Loop
memory used=495.9MB, alloc=4.9MB, time=22.66
t[1] = 1.607
x2[1] (analytic) = 1.0050358266665436644328098470722
x2[1] (numeric) = 1.005038474551431398688814999488
absolute error = 2.6478848877342560051524158055451e-06
relative error = 0.00026346174111192016965637406115334 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003608787191612446154590788408
x1[1] (numeric) = 2.0003562760193483858804099896461
absolute error = 4.6026998128587350490891946908751e-06
relative error = 0.0002300934727240747390215560365772 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.023e+04
Order of pole = 1.328e+08
TOP MAIN SOLVE Loop
memory used=499.7MB, alloc=4.9MB, time=22.83
t[1] = 1.608
x2[1] (analytic) = 1.005045727868578361265020469277
x2[1] (numeric) = 1.0050484290071754884297576607262
absolute error = 2.7011385971271647371914491802948e-06
relative error = 0.0002687577810867895771329000586916 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003605180208213115318788635966
x1[1] (numeric) = 2.0003558288032204039379790527305
absolute error = 4.6892176009075938998108660698082e-06
relative error = 0.00023441862397619991757026059268211 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.026e+04
Order of pole = 1.329e+08
TOP MAIN SOLVE Loop
memory used=503.5MB, alloc=4.9MB, time=23.01
memory used=507.3MB, alloc=4.9MB, time=23.19
t[1] = 1.609
x2[1] (analytic) = 1.0050556490732721745301439889081
x2[1] (numeric) = 1.0050584040635844683935151717326
absolute error = 2.7549903122938633711828244894042e-06
relative error = 0.00027411321102808056161556357765108 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003601576829994293127795834462
x1[1] (numeric) = 2.000355381139652611394955650584
absolute error = 4.7765433468179178239328622301490e-06
relative error = 0.00023878416736466838774088343682785 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.028e+04
Order of pole = 1.331e+08
TOP MAIN SOLVE Loop
memory used=511.1MB, alloc=4.9MB, time=23.36
t[1] = 1.61
x2[1] (analytic) = 1.0050655903204901052177196549322
x2[1] (numeric) = 1.0050683997625730644105201235822
absolute error = 2.8094420829591928004686500020710e-06
relative error = 0.00027952823278561675493246112777888 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003597977053352601062508664658
x1[1] (numeric) = 2.0003549330281973446462419416235
absolute error = 4.8646771379154600089248423924080e-06
relative error = 0.00024319010727449420106635037564162 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.031e+04
Order of pole = 1.332e+08
TOP MAIN SOLVE Loop
memory used=514.9MB, alloc=4.9MB, time=23.53
t[1] = 1.611
x2[1] (analytic) = 1.0050755516501771443615482360246
x2[1] (numeric) = 1.0050784161461405881516664782354
absolute error = 2.8644959634437901182422107668352e-06
relative error = 0.00028500304865049547257199824835903 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003594380874688262181253664461
x1[1] (numeric) = 2.0003544844684064921992285546183
absolute error = 4.9536190623340188968118278265049e-06
relative error = 0.00024763644813104904611364861990593 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.033e+04
Order of pole = 1.333e+08
TOP MAIN SOLVE Loop
memory used=518.8MB, alloc=4.9MB, time=23.71
t[1] = 1.612
x2[1] (analytic) = 1.0050855331023584329996983378472
x2[1] (numeric) = 1.0050884532563711071421148081555
absolute error = 2.9201540126741424164703082329775e-06
relative error = 0.00029053786135599987929738420061549 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003590788290405097520010387265
x1[1] (numeric) = 2.0003540354598314942256830587381
absolute error = 5.0433692090155263179799883602381e-06
relative error = 0.00025212319440006675151163267430166 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.036e+04
Order of pole = 1.335e+08
TOP MAIN SOLVE Loop
memory used=522.6MB, alloc=4.9MB, time=23.88
t[1] = 1.613
x2[1] (analytic) = 1.0050955347171394224549329453055
x2[1] (numeric) = 1.0050985111354336151161385771436
absolute error = 2.9764182941926612056318381063957e-06
relative error = 0.00029613287407851278172787082658085 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003587199296910522496232138248
x1[1] (numeric) = 2.0003535860020233421131900979403
absolute error = 5.1339276677101364331158845933539e-06
relative error = 0.00025665035058764782918594284661952 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.038e+04
Order of pole = 1.336e+08
TOP MAIN SOLVE Loop
memory used=526.4MB, alloc=4.9MB, time=24.06
memory used=530.2MB, alloc=4.9MB, time=24.24
t[1] = 1.614
x2[1] (analytic) = 1.005105556534706034936197491516
x2[1] (numeric) = 1.005108589825582202713694900526
absolute error = 3.0332908761677774974090100250327e-06
relative error = 0.0003017882904384320501859741379168 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003583613890615543316261092451
x1[1] (numeric) = 2.0003531360945325780161427411373
absolute error = 5.2252945289763154833681077638702e-06
relative error = 0.00026121792124026405780588898780858 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.041e+04
Order of pole = 1.337e+08
TOP MAIN SOLVE Loop
memory used=534.0MB, alloc=4.9MB, time=24.41
t[1] = 1.615
x2[1] (analytic) = 1.0051155985953248244618120392781
x2[1] (numeric) = 1.0051186893691562285194045917418
absolute error = 3.0907738314040575925524637260442e-06
relative error = 0.00030750431450108767211036407757568 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003580032067934753386334202026
x1[1] (numeric) = 2.0003526857369092944062845991351
absolute error = 5.3174698841809323488210674357724e-06
relative error = 0.00026582591094476310644819166918959 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.043e+04
Order of pole = 1.339e+08
TOP MAIN SOLVE Loop
memory used=537.8MB, alloc=4.9MB, time=24.59
t[1] = 1.616
x2[1] (analytic) = 1.0051256609393431381050114474845
x2[1] (numeric) = 1.0051288098085804904446276740426
absolute error = 3.1488692373523396162265581899921e-06
relative error = 0.00031328115077766043933453953857221 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003576453825286329727176303698
x1[1] (numeric) = 2.0003522349287031336228022588843
absolute error = 5.4104538254993499153714854894168e-06
relative error = 0.00027047432432837319848251260424189 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.046e+04
Order of pole = 1.340e+08
TOP MAIN SOLVE Loop
memory used=541.6MB, alloc=4.9MB, time=24.76
t[1] = 1.617
x2[1] (analytic) = 1.0051357436071892775624786841156
x2[1] (numeric) = 1.0051389511863653974533219104187
absolute error = 3.2075791761198908432263031287262e-06
relative error = 0.00031911900422610227153182203820981 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003572879159092029392176841002
x1[1] (numeric) = 2.0003517836694632874219675851369
absolute error = 5.5042464459155172500989632987493e-06
relative error = 0.00027516316605870781568374572961251 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.048e+04
Order of pole = 1.341e+08
TOP MAIN SOLVE Loop
memory used=545.5MB, alloc=4.9MB, time=24.94
t[1] = 1.618
x2[1] (analytic) = 1.005145846639372661046517739258
x2[1] (numeric) = 1.0051491135451071416323732820245
absolute error = 3.2669057344805858555427664762376e-06
relative error = 0.00032501808025205817812760234322871 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003569308065777185889146619483
x1[1] (numeric) = 2.0003513319587384965263294391508
absolute error = 5.5988478392220625852227974735868e-06
relative error = 0.00027989244084377044257607997343175 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.051e+04
Order of pole = 1.343e+08
TOP MAIN SOLVE Loop
memory used=549.3MB, alloc=4.9MB, time=25.11
t[1] = 1.619
x2[1] (analytic) = 1.0051559700764839855015138859671
x2[1] (numeric) = 1.0051592969274878706070887252947
absolute error = 3.3268510038851055748393275893015e-06
relative error = 0.00033097858470978986098015973148932 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003565740541770705605651016621
x1[1] (numeric) = 2.0003508797960770501734543636339
memory used=553.1MB, alloc=4.9MB, time=25.29
absolute error = 5.6942581000203871107380281315276e-06
relative error = 0.00028466215343195935101388435868824 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.053e+04
Order of pole = 1.344e+08
TOP MAIN SOLVE Loop
memory used=556.9MB, alloc=4.9MB, time=25.46
t[1] = 1.62
x2[1] (analytic) = 1.0051661139591953891453303337642
x2[1] (numeric) = 1.0051695013762758603025428206182
absolute error = 3.3874170804711572124868540115208e-06
relative error = 0.00033700072390310096013174336857954 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003562176583505064237916071803
x1[1] (numeric) = 2.000350427181026785664215782668
absolute error = 5.7904773237207595758245123433531e-06
relative error = 0.00028947230861207242500450571535581 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.056e+04
Order of pole = 1.345e+08
TOP MAIN SOLVE Loop
memory used=560.7MB, alloc=4.9MB, time=25.64
t[1] = 1.621
x2[1] (analytic) = 1.005176278328260614336291619126
x2[1] (numeric) = 1.0051797269343256880514715108863
absolute error = 3.4486060650737151798917602454809e-06
relative error = 0.00034308470458626394493195938236812 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003558616187416303223303885259
x1[1] (numeric) = 2.0003499741131350879106312649017
absolute error = 5.8875056065424116991236241688791e-06
relative error = 0.00029432291121331202577810890721103 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.058e+04
Order of pole = 1.347e+08
TOP MAIN SOLVE Loop
memory used=564.5MB, alloc=4.9MB, time=25.81
t[1] = 1.622
x2[1] (analytic) = 1.0051864632245151707664053794948
x2[1] (numeric) = 1.0051899736445784060494073164551
absolute error = 3.5104200632352830019369603588589e-06
relative error = 0.00034923073396494865283584554387053 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003555059349944026176353758423
x1[1] (numeric) = 2.0003495205919488889832473978507
absolute error = 5.9853430455136343879779915679070e-06
relative error = 0.0002992139661052898971097291178716 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.061e+04
Order of pole = 1.348e+08
TOP MAIN SOLVE Loop
memory used=568.4MB, alloc=4.9MB, time=25.99
t[1] = 1.623
x2[1] (analytic) = 1.0051966686888764989814754621097
x2[1] (numeric) = 1.0052002415500617151577519040625
absolute error = 3.5728611852161762764419527679241e-06
relative error = 0.00035543901969715247817933791732696 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003551506067531395328385511774
x1[1] (numeric) = 2.0003490666170146676580718206879
absolute error = 6.0839897384718747667304894340302e-06
relative error = 0.00030414547819803211089874538555927 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.064e+04
Order of pole = 1.349e+08
TOP MAIN SOLVE Loop
memory used=572.2MB, alloc=4.9MB, time=26.16
t[1] = 1.624
x2[1] (analytic) = 1.0052068947623441342287606263524
x2[1] (numeric) = 1.0052105306938901390554832610279
absolute error = 3.6359315460048267226346755430449e-06
relative error = 0.00036170976989413221323514033421014 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003547956336625127970661419755
x1[1] (numeric) = 2.0003486121878784489630519624584
absolute error = 6.1834457840638340141795170583747e-06
relative error = 0.00030911745244198405301102422748328 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.066e+04
Order of pole = 1.351e+08
memory used=576.0MB, alloc=4.9MB, time=26.34
TOP MAIN SOLVE Loop
memory used=579.8MB, alloc=4.9MB, time=26.51
t[1] = 1.625
x2[1] (analytic) = 1.0052171414859998706328344082993
x2[1] (numeric) = 1.0052208411192651987401961226437
absolute error = 3.6996332653281073617143444133889e-06
relative error = 0.00036804319312133754385229798270325 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003544410153675492901103205926
x1[1] (numeric) = 2.0003481573040858037241000321951
absolute error = 6.2837112817455660102883974867036e-06
relative error = 0.00031412989382801544938902185258925 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.069e+04
Order of pole = 1.352e+08
TOP MAIN SOLVE Loop
memory used=583.6MB, alloc=4.9MB, time=26.69
t[1] = 1.626
x2[1] (analytic) = 1.0052274089010079257003030288057
x2[1] (numeric) = 1.0052311728694755873791757000394
absolute error = 3.7639684676616788726712336604896e-06
relative error = 0.00037443949839934620198305069335119 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003540867515136306874560545075
x1[1] (numeric) = 2.000347701965181848110663806962
absolute error = 6.3847863317825767922475454875066e-06
relative error = 0.0003191828073874254324351731257612 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.071e+04
Order of pole = 1.353e+08
TOP MAIN SOLVE Loop
memory used=587.4MB, alloc=4.9MB, time=26.86
t[1] = 1.627
x2[1] (analytic) = 1.0052376970486151051540395416975
x2[1] (numeric) = 1.0052415259878973455112061579801
absolute error = 3.8289392822403571666162826319606e-06
relative error = 0.00038089889520480077740079955004734 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003537328417464931056627522553
x1[1] (numeric) = 2.0003472461707112431808427633951
absolute error = 6.4866710352499248199888602015298e-06
relative error = 0.00032427619819194764767393511743752 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.074e+04
Order of pole = 1.355e+08
TOP MAIN SOLVE Loop
memory used=591.2MB, alloc=4.9MB, time=27.04
t[1] = 1.628
x2[1] (analytic) = 1.0052480059701509680975937365366
x2[1] (numeric) = 1.0052519005179940365998166970447
absolute error = 3.8945478430685022229605080272772e-06
relative error = 0.00038742159347134719091326216984364 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003533792857122267481003504649
x1[1] (numeric) = 2.0003467899202181944260490978569
absolute error = 6.5893654940323220512526079954939e-06
relative error = 0.00032941007135375540069789275004397 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.076e+04
Order of pole = 1.356e+08
TOP MAIN SOLVE Loop
memory used=595.1MB, alloc=4.9MB, time=27.21
t[1] = 1.629
x2[1] (analytic) = 1.0052583357070279925104386309534
x2[1] (numeric) = 1.0052622965033169229386695024281
absolute error = 3.9607962889304282308714747578395e-06
relative error = 0.00039400780359057483137511728145119 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003530260830572755510394877363
x1[1] (numeric) = 2.0003463332132464513152131798657
absolute error = 6.6928698108242358263078705953064e-06
relative error = 0.00033458443202546684440337373669352 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.079e+04
Order of pole = 1.358e+08
memory used=598.9MB, alloc=4.9MB, time=27.39
TOP MAIN SOLVE Loop
memory used=602.7MB, alloc=4.9MB, time=27.56
t[1] = 1.63
x2[1] (analytic) = 1.0052686863007417410747157107045
x2[1] (numeric) = 1.005272713987505141909795232231
absolute error = 4.0276867634008350795215264147794e-06
relative error = 0.00040065773641295835880464799653091 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003526732334284368300954114481
x1[1] (numeric) = 2.0003458760493393068385329830048
absolute error = 6.7971840891299915624284432277074e-06
relative error = 0.00033979928540015020652105969829324 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.081e+04
Order of pole = 1.359e+08
TOP MAIN SOLVE Loop
memory used=606.5MB, alloc=4.9MB, time=27.74
t[1] = 1.631
x2[1] (analytic) = 1.0052790577928710273341424014405
x2[1] (numeric) = 1.005283153014285882595383131541
absolute error = 4.0952214148552612407301005422127e-06
relative error = 0.00040737160324880117590908531537349 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003523207364728609270252639396
x1[1] (numeric) = 2.0003454184280395970507670370623
absolute error = 6.9023084332638762582268772548037e-06
relative error = 0.00034505463671132905744712004256845 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.084e+04
Order of pole = 1.360e+08
TOP MAIN SOLVE Loop
memory used=610.3MB, alloc=4.9MB, time=27.92
t[1] = 1.632
x2[1] (analytic) = 1.0052894502250780821857465846318
x2[1] (numeric) = 1.0052936136274745627438342748862
absolute error = 4.1634023964805580876902543635847e-06
relative error = 0.00041414961586918057032352884435831 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003519685918380508568783948635
x1[1] (numeric) = 2.0003449603488897006140704446918
absolute error = 7.0082429483502428079501716441595e-06
relative error = 0.00035035049123298761838043489260194 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.086e+04
Order of pole = 1.362e+08
TOP MAIN SOLVE Loop
memory used=614.1MB, alloc=4.9MB, time=28.09
t[1] = 1.633
x2[1] (analytic) = 1.0052998636391087207050943012418
x2[1] (numeric) = 1.0053040958709750060907878587455
absolute error = 4.2322318662853856935575036978417e-06
relative error = 0.00042099198650689452986848033129639 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003516167991718619554993468606
x1[1] (numeric) = 2.000344501811431538340373505433
absolute error = 7.1149877403236151258414275788287e-06
relative error = 0.00035568685427957610977151306332866 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.089e+04
Order of pole = 1.363e+08
TOP MAIN SOLVE Loop
memory used=617.9MB, alloc=4.9MB, time=28.27
t[1] = 1.634
x2[1] (analytic) = 1.0053102980767925093056781205259
x2[1] (numeric) = 1.0053145997887796200358318877577
absolute error = 4.3017119871107301537672318845371e-06
relative error = 0.00042789892785741023313116735064701 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003512653581225015273831620589
x1[1] (numeric) = 2.0003440428152065727333024894683
absolute error = 7.2225429159287940806725905777435e-06
relative error = 0.00036106373120601614008875080206036 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.091e+04
Order of pole = 1.364e+08
TOP MAIN SOLVE Loop
memory used=621.8MB, alloc=4.9MB, time=28.44
memory used=625.6MB, alloc=4.9MB, time=28.62
t[1] = 1.635
x2[1] (analytic) = 1.0053207535800429332331349878073
x2[1] (numeric) = 1.0053251254249695736756110230642
absolute error = 4.3718449266404424760352569674821e-06
relative error = 0.00043487065307981421767595919750086 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003509142683385284938826572526
x1[1] (numeric) = 2.0003435833597558075296421030379
absolute error = 7.3309085827209642405542146680286e-06
relative error = 0.00036648112740770613490771673357913 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.094e+04
Order of pole = 1.366e+08
TOP MAIN SOLVE Loop
memory used=629.4MB, alloc=4.9MB, time=28.79
t[1] = 1.636
x2[1] (analytic) = 1.0053312301908575643949637042197
x2[1] (numeric) = 1.0053356728237149761940457888742
absolute error = 4.4426328574117990820846545207571e-06
relative error = 0.0004419073757977642281892846806023 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003505635294688530417673159682
x1[1] (numeric) = 2.0003431234446197872403391869748
absolute error = 7.4400848490658014281289934279010e-06
relative error = 0.0003719390483205268063291881816693 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.097e+04
Order of pole = 1.367e+08
TOP MAIN SOLVE Loop
memory used=633.2MB, alloc=4.9MB, time=28.96
t[1] = 1.637
x2[1] (analytic) = 1.0053417279513182295264135332317
x2[1] (numeric) = 1.0053462420292750556103787638523
absolute error = 4.5140779568260839652306206950729e-06
relative error = 0.0004490093101004427468645519436003 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003502131411627362721334459765
x1[1] (numeric) = 2.0003426630693385966910471893634
absolute error = 7.5500718241395810862566131026504e-06
relative error = 0.00037743749942084666273170377719216 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.099e+04
Order of pole = 1.368e+08
TOP MAIN SOLVE Loop
memory used=637.0MB, alloc=4.9MB, time=29.13
t[1] = 1.638
x2[1] (analytic) = 1.0053522469035911786932167732755
x2[1] (numeric) = 1.0053568330859983378857648173011
absolute error = 4.5861824071591925480440256736036e-06
relative error = 0.00045617667054351220833264359283878 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003498631030697898496652511605
x1[1] (numeric) = 2.000342202233451860562210952867
absolute error = 7.6608696179292874542982934875821e-06
relative error = 0.00038297648622552755886443700798503 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.102e+04
Order of pole = 1.370e+08
TOP MAIN SOLVE Loop
memory used=640.8MB, alloc=4.9MB, time=29.31
t[1] = 1.639
x2[1] (analytic) = 1.0053627870899272541318394830065
x2[1] (numeric) = 1.0053674460383228263891238863586
absolute error = 4.6589483955722572844033521122189e-06
relative error = 0.00046340967215007190144361617158807 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003495134148399756522464670009
x1[1] (numeric) = 2.000341740936498742928691356808
absolute error = 7.7724783412327235551101928715620e-06
relative error = 0.0003885560142919302862862351180214 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.104e+04
Order of pole = 1.371e+08
TOP MAIN SOLVE Loop
memory used=644.6MB, alloc=4.9MB, time=29.49
memory used=648.5MB, alloc=4.9MB, time=29.66
t[1] = 1.64
x2[1] (analytic) = 1.0053733485526620594279258956137
x2[1] (numeric) = 1.0053780809307761817229762295504
absolute error = 4.7323781141222950503339366579264e-06
relative error = 0.0004707085304116165602052712965509 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003491640761236054209222092897
x1[1] (numeric) = 2.0003412791780179467989293536257
absolute error = 7.8848981056586219928556640437348e-06
relative error = 0.00039417608921792020415670752244129 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.107e+04
Order of pole = 1.373e+08
TOP MAIN SOLVE Loop
memory used=652.3MB, alloc=4.9MB, time=29.83
t[1] = 1.641
x2[1] (analytic) = 1.0053839313342161290336134112051
x2[1] (numeric) = 1.0053887378079759019099815340408
absolute error = 4.8064737597728763681228356504535e-06
relative error = 0.00047807346128899664618428646421553 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003488150865713404102106860347
x1[1] (numeric) = 2.0003408169575477136536489388756
absolute error = 7.9981290236267565617471591849038e-06
relative error = 0.00039983671664187291038528767128701 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.109e+04
Order of pole = 1.374e+08
TOP MAIN SOLVE Loop
memory used=656.1MB, alloc=4.9MB, time=30.01
t[1] = 1.642
x2[1] (analytic) = 1.0053945354770950981243964115968
x2[1] (numeric) = 1.0053994167146295029409046988158
absolute error = 4.8812375344048165082872189751008e-06
relative error = 0.0004855046812133803246755965432429 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003484664458341910387644228663
x1[1] (numeric) = 2.0003403542746258229840985934739
absolute error = 8.1121712083680546658293923947782e-06
relative error = 0.00040553790224267995314423206809658 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.112e+04
Order of pole = 1.375e+08
TOP MAIN SOLVE Loop
memory used=659.9MB, alloc=4.9MB, time=30.19
t[1] = 1.643
x2[1] (analytic) = 1.0054051610238898727962184998587
x2[1] (numeric) = 1.0054101176955346996847325638178
absolute error = 4.9566716448268885140639591108688e-06
relative error = 0.00049300240708721713694570219522807 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003481181535635165403806526072
x1[1] (numeric) = 2.0003398911287895918298307364276
absolute error = 8.2270247739247105499161796476187e-06
relative error = 0.00041127965173975458275155992995326 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.114e+04
Order of pole = 1.377e+08
TOP MAIN SOLVE Loop
memory used=663.7MB, alloc=4.9MB, time=30.36
t[1] = 1.644
x2[1] (analytic) = 1.0054158080172768006034741277058
x2[1] (numeric) = 1.0054208407955795871616673057319
absolute error = 5.0327783027865581931780260677066e-06
relative error = 0.00050056685628520337085554881012764 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003477702094110246153605200168
x1[1] (numeric) = 2.0003394275195758743160187258296
absolute error = 8.3426898351502993417941871225574e-06
relative error = 0.00041706197089303754392997676320201 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.117e+04
Order of pole = 1.378e+08
TOP MAIN SOLVE Loop
memory used=667.5MB, alloc=4.9MB, time=30.54
memory used=671.4MB, alloc=4.9MB, time=30.71
t[1] = 1.645
x2[1] (analytic) = 1.005426476500017841438601937291
x2[1] (numeric) = 1.0054315860597428221797236747144
absolute error = 5.1095597249807411217374234925766e-06
relative error = 0.00050819824665524913216856890424949 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003474226130287710822167530672
x1[1] (numeric) = 2.0003389634465210611903109454371
absolute error = 8.4591665077098919058076301218435e-06
relative error = 0.00042288486550300290844786492385931 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.120e+04
Order of pole = 1.379e+08
TOP MAIN SOLVE Loop
memory used=675.2MB, alloc=4.9MB, time=30.89
t[1] = 1.646
x2[1] (analytic) = 1.0054371665149607387539535101454
x2[1] (numeric) = 1.0054423535330938053356587028525
absolute error = 5.1870181330665817051927071086274e-06
relative error = 0.00051589679651944711884941220740539 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003470753640691595297294524615
x1[1] (numeric) = 2.0003384989091610793592215136854
absolute error = 8.5764549080801705079387761712855e-06
relative error = 0.00042874834141066394814846403380036 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.122e+04
Order of pole = 1.381e+08
TOP MAIN SOLVE Loop
memory used=679.0MB, alloc=4.9MB, time=31.06
t[1] = 1.647
x2[1] (analytic) = 1.0054478781050391911266225849432
x2[1] (numeric) = 1.0054531432607928633809639745574
absolute error = 5.2651557536722543413896141986075e-06
relative error = 0.00052366272467504310065880076067023 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003467284621849409693496514469
x1[1] (numeric) = 2.0003380339070313914240571515295
absolute error = 8.6945551535495452924999173930309e-06
relative error = 0.00043465240449757904837340393314309 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.125e+04
Order of pole = 1.382e+08
TOP MAIN SOLVE Loop
memory used=682.8MB, alloc=4.9MB, time=31.24
t[1] = 1.648
x2[1] (analytic) = 1.0054586113132730241669211774334
x2[1] (numeric) = 1.0054639552880914319536520114358
absolute error = 5.3439748184077867308340024169309e-06
relative error = 0.00053149625039540810634984115580399 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003463819070292134879502983282
x1[1] (numeric) = 2.0003375684396669952163797450393
absolute error = 8.8134673622182715705532888523629e-06
relative error = 0.0004405970606858576617867926659006 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.127e+04
Order of pole = 1.384e+08
TOP MAIN SOLVE Loop
memory used=686.6MB, alloc=4.9MB, time=31.42
t[1] = 1.649
x2[1] (analytic) = 1.0054693661827683627711904102979
x2[1] (numeric) = 1.0054747896603322386765697894461
absolute error = 5.4234775638759053793791481794750e-06
relative error = 0.00053939759343101232077100246999131 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003460356982554219009243144329
x1[1] (numeric) = 2.0003371025066024233330041382116
absolute error = 8.9331916529985679201762213082061e-06
relative error = 0.00044658231593816630260610181997931 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.130e+04
Order of pole = 1.385e+08
TOP MAIN SOLVE Loop
memory used=690.4MB, alloc=4.9MB, time=31.59
memory used=694.2MB, alloc=4.9MB, time=31.77
t[1] = 1.65
x2[1] (analytic) = 1.0054801427567178037196352378594
x2[1] (numeric) = 1.005485646422949486622973874349
absolute error = 5.5036662316829033386364896019146e-06
relative error = 0.00054736697401040069418082638294702 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003456898355173574056293806241
x1[1] (numeric) = 2.0003366361073717426705306909955
absolute error = 9.0537281456147350986896286423358e-06
relative error = 0.00045260817625773458124613137399696 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.132e+04
Order of pole = 1.386e+08
TOP MAIN SOLVE Loop
memory used=698.1MB, alloc=4.9MB, time=31.94
t[1] = 1.651
x2[1] (analytic) = 1.0054909410784005886198736304858
x2[1] (numeric) = 1.0054965256214690381501031326026
absolute error = 5.5845430684495302295021168025779e-06
relative error = 0.00055540461284117026607927530501603 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003453443184691572351791058073
x1[1] (numeric) = 2.0003361692415085539594121370651
absolute error = 9.1750769606032757669687422056874e-06
relative error = 0.00045867464768836127938237604222031 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.135e+04
Order of pole = 1.388e+08
TOP MAIN SOLVE Loop
memory used=701.9MB, alloc=4.9MB, time=32.12
t[1] = 1.652
x2[1] (analytic) = 1.0055017611911827771968921662235
x2[1] (numeric) = 1.0055074273015085991014864489372
absolute error = 5.6661103258219045942827137215951e-06
relative error = 0.0005635107311109492058604449916409 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003449991467653043125802312226
x1[1] (numeric) = 2.0003357019085459912975542754062
absolute error = 9.2972382193130150259558164024779e-06
relative error = 0.00046478173631442046544015495521453 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.137e+04
Order of pole = 1.389e+08
TOP MAIN SOLVE Loop
memory used=705.7MB, alloc=4.9MB, time=32.29
t[1] = 1.653
x2[1] (analytic) = 1.0055126031385174209301013626433
x2[1] (numeric) = 1.0055183515087779033787243588842
absolute error = 5.7483702604824486229962408023621e-06
relative error = 0.00057168555048837757259116996804292 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003446543200606269052155246577
x1[1] (numeric) = 2.0003352341080167216834500293157
absolute error = 9.4202120439052217654953420348887e-06
relative error = 0.00047092944826086765051590636759208 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.140e+04
Order of pole = 1.391e+08
TOP MAIN SOLVE Loop
memory used=709.5MB, alloc=4.9MB, time=32.47
t[1] = 1.654
x2[1] (analytic) = 1.0055234669639447370381854701122
x2[1] (numeric) = 1.0055292982890788978834849845295
absolute error = 5.8313251341608452995144173026858e-06
relative error = 0.00057992929312408979621983303430662 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003443098380102982796720190671
x1[1] (numeric) = 2.0003347658394529445488464059508
absolute error = 9.5439985573537308256131162536373e-06
relative error = 0.0004771177896932459847370889455864 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.143e+04
Order of pole = 1.392e+08
TOP MAIN SOLVE Loop
memory used=713.3MB, alloc=4.9MB, time=32.64
memory used=717.1MB, alloc=4.9MB, time=32.82
t[1] = 1.655
x2[1] (analytic) = 1.0055343527110922828124428387058
x2[1] (numeric) = 1.0055402676883059278304561447218
absolute error = 5.9149772136450180133060160207480e-06
relative error = 0.0005882421816516988825194540609982 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003439657002698363569142504229
x1[1] (numeric) = 2.0003342971023863912909438890925
absolute error = 9.6685978834450659703613304036851e-06
relative error = 0.00048334676681769249406717105609214 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.145e+04
Order of pole = 1.393e+08
TOP MAIN SOLVE Loop
memory used=720.9MB, alloc=4.9MB, time=33.00
t[1] = 1.656
x2[1] (analytic) = 1.0055452604236751302993143647712
x2[1] (numeric) = 1.0055512597524459224319969968934
absolute error = 5.9993287707921326826321222053293e-06
relative error = 0.00059662443918878234406887811429302 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003436219064951033678021499729
x1[1] (numeric) = 2.0003338278963483248041277973233
absolute error = 9.7940101467785636743526496204203e-06
relative error = 0.00048961638588094435756222935534704 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.148e+04
Order of pole = 1.395e+08
TOP MAIN SOLVE Loop
memory used=724.8MB, alloc=4.9MB, time=33.17
t[1] = 1.657
x2[1] (analytic) = 1.0055561901454960413327989197262
x2[1] (numeric) = 1.005562274527578580955234056559
absolute error = 6.0843820825396224351368327413913e-06
relative error = 0.00060507628933786985957560856221676 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003432784563423055089532464224
x1[1] (numeric) = 2.0003333582208695390112311393517
absolute error = 9.9202354727664977221070707207087e-06
relative error = 0.00049592665317034522508571785961783 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.150e+04
Order of pole = 1.396e+08
TOP MAIN SOLVE Loop
memory used=728.6MB, alloc=4.9MB, time=33.35
t[1] = 1.658
x2[1] (analytic) = 1.0055671419204456429174560630603
x2[1] (numeric) = 1.005573312059876559152347932442
absolute error = 6.1701394309162348918693817327115e-06
relative error = 0.00061359795618743266384353710448298 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003429353494679925989488339018
x1[1] (numeric) = 2.0003328880754803583943284977441
absolute error = 1.0047273987634204620336157746054e-05
relative error = 0.00050227757501385157548800857213212 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.153e+04
Order of pole = 1.398e+08
TOP MAIN SOLVE Loop
memory used=732.4MB, alloc=4.9MB, time=33.52
t[1] = 1.659
x2[1] (analytic) = 1.0055781157925026029626977436777
x2[1] (numeric) = 1.0055843723956056560647986100524
absolute error = 6.2566031030531021008663747151109e-06
relative error = 0.00062218966431287467068850953157125 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003425925855290577348837619277
x1[1] (numeric) = 2.0003324174597106375250604718603
absolute error = 1.0175125818420209823290067452553e-05
relative error = 0.00050866915778003911525734464010732 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.155e+04
Order of pole = 1.399e+08
TOP MAIN SOLVE Loop
memory used=736.2MB, alloc=4.9MB, time=33.70
t[1] = 1.66
x2[1] (analytic) = 1.0055891118057338063690720987107
x2[1] (numeric) = 1.005595455581125001202238614407
memory used=740.0MB, alloc=4.9MB, time=33.87
absolute error = 6.3437753911948331665156962999892e-06
relative error = 0.00063085163877752533110433334774657 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003422501641827369492595039049
x1[1] (numeric) = 2.0003319463730897605944882103148
absolute error = 1.0303791092976354771293590105199e-05
relative error = 0.00051510140787810921764888692310347 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.158e+04
Order of pole = 1.400e+08
TOP MAIN SOLVE Loop
memory used=743.8MB, alloc=4.9MB, time=34.05
t[1] = 1.661
x2[1] (analytic) = 1.0056001300042945314672438667242
x2[1] (numeric) = 1.0056065616628872420968648834497
absolute error = 6.4316585927106296210167254421865e-06
relative error = 0.00063958410513363422898148108085629 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003419080850866088672201610646
x1[1] (numeric) = 2.0003314748151466409424775628205
absolute error = 1.0433269939967924742598244123139e-05
relative error = 0.00052157433175789540229857476910853 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.161e+04
Order of pole = 1.402e+08
TOP MAIN SOLVE Loop
memory used=747.6MB, alloc=4.9MB, time=34.22
t[1] = 1.662
x2[1] (analytic) = 1.0056111704324286268103773428537
x2[1] (numeric) = 1.0056176906874387322339616876028
absolute error = 6.5202550101054235843447491232013e-06
relative error = 0.00064838728942336741668037104171075 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003415663478985943641310590733
x1[1] (numeric) = 2.0003310027854097205866123807968
absolute error = 1.0563562488873777518678276438661e-05
relative error = 0.00052808793590986985532856171778796 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.163e+04
Order of pole = 1.403e+08
TOP MAIN SOLVE Loop
memory used=751.5MB, alloc=4.9MB, time=34.40
t[1] = 1.663
x2[1] (analytic) = 1.0056222331344686883206292168511
x2[1] (numeric) = 1.0056288427014197193593884377605
absolute error = 6.6095669510310387592209094158158e-06
relative error = 0.00065726141817980549276071537998446 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003412249522769562234995948913
x1[1] (numeric) = 2.0003305302834069697506364956574
absolute error = 1.0694668869986472863099233876616e-05
relative error = 0.00053464222686514998995102678123456 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.166e+04
Order of pole = 1.405e+08
TOP MAIN SOLVE Loop
memory used=755.3MB, alloc=4.9MB, time=34.57
t[1] = 1.664
x2[1] (analytic) = 1.0056333181548362367904600512899
x2[1] (numeric) = 1.0056400177515645341647677339409
absolute error = 6.6995967282973743076826510252878e-06
relative error = 0.0006662067184279434241680134037598 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003408838978802987952379918023
x1[1] (numeric) = 2.0003300573086658863924239032179
absolute error = 1.0826589214412402814088584433640e-05
relative error = 0.00054123721119550504757720189137635 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.168e+04
Order of pole = 1.406e+08
TOP MAIN SOLVE Loop
memory used=759.1MB, alloc=4.9MB, time=34.74
t[1] = 1.665
x2[1] (analytic) = 1.0056444255380418957394745762769
x2[1] (numeric) = 1.0056512158847017793511305197337
absolute error = 6.7903466598836116559434568622753e-06
relative error = 0.00067522341768569211517783617753895 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.000340543184367567654267620876
x1[1] (numeric) = 2.0003295838607134957314766821949
absolute error = 1.0959323654071922790938681038651e-05
relative error = 0.00054787289551336273943849604997805 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.171e+04
Order of pole = 1.407e+08
memory used=762.9MB, alloc=4.9MB, time=34.92
TOP MAIN SOLVE Loop
memory used=766.7MB, alloc=4.9MB, time=35.09
t[1] = 1.666
x2[1] (analytic) = 1.0056555553286855696275023989698
x2[1] (numeric) = 1.0056624371477545190717767236382
absolute error = 6.8818190689494442743246683711490e-06
relative error = 0.00068431174396488172539809627979787 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003402028113980492594645474679
x1[1] (numeric) = 2.0003291099390763497759501742937
absolute error = 1.1092872321699483514373174208530e-05
relative error = 0.00055454928647181592872663667194248 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.174e+04
Order of pole = 1.409e+08
TOP MAIN SOLVE Loop
memory used=770.5MB, alloc=4.9MB, time=35.27
t[1] = 1.667
x2[1] (analytic) = 1.0056667075714566224246321509868
x2[1] (numeric) = 1.0056736815877404687551112873724
absolute error = 6.9740162838463304791363855926468e-06
relative error = 0.00069347192577226673912902417654501 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003398627786313706129459617029
x1[1] (numeric) = 2.0003286355432805268492049529089
absolute error = 1.1227235350843763741008793976356e-05
relative error = 0.00056126639076462935325978857542059 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.176e+04
Order of pole = 1.410e+08
TOP MAIN SOLVE Loop
memory used=774.3MB, alloc=4.9MB, time=35.44
t[1] = 1.668
x2[1] (analytic) = 1.0056778823111340565389135244401
x2[1] (numeric) = 1.0056849492517721853082170032697
absolute error = 7.0669406381287693034788296610271e-06
relative error = 0.00070270419211053278838007984203031 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003395230857274989196971522281
x1[1] (numeric) = 2.0003281606728516311158851069925
absolute error = 1.1362412875867803812045235565079e-05
relative error = 0.00056802421512624638868165104310969 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.179e+04
Order of pole = 1.412e+08
TOP MAIN SOLVE Loop
memory used=778.2MB, alloc=4.9MB, time=35.62
t[1] = 1.669
x2[1] (analytic) = 1.0056890795925866921024430778264
x2[1] (numeric) = 1.0056962401870572577019271079544
absolute error = 7.1605944705655994840301280028346e-06
relative error = 0.00071200877247930523184251492144863 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003391837323467412475386828617
x1[1] (numeric) = 2.0003276853273147921075223661642
absolute error = 1.1498405031949140016316697507611e-05
relative error = 0.00057482276633179585220057335809734 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.181e+04
Order of pole = 1.413e+08
TOP MAIN SOLVE Loop
memory used=782.0MB, alloc=4.9MB, time=35.79
t[1] = 1.67
x2[1] (analytic) = 1.0057002994607733466165511263743
x2[1] (numeric) = 1.0057075544408984979381621076246
absolute error = 7.2549801251513216109812502977134e-06
relative error = 0.00072138589687615949211576677247258 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003388447181497441874334321061
x1[1] (numeric) = 2.0003272095061946642476655926709
absolute error = 1.1635211955079939767839435276094e-05
relative error = 0.00058166205119709884687576920473033 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.184e+04
Order of pole = 1.414e+08
memory used=785.8MB, alloc=4.9MB, time=35.97
TOP MAIN SOLVE Loop
memory used=789.6MB, alloc=4.9MB, time=36.14
t[1] = 1.671
x2[1] (analytic) = 1.0057115419607430149568084676804
x2[1] (numeric) = 1.005718892060694132400296841462
absolute error = 7.3500999511174434883737816627661e-06
relative error = 0.00073083579579763315348531103157312 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003385060427974935141331558314
x1[1] (numeric) = 2.0003267332090154263765351653234
absolute error = 1.1772833782067137597990507979148e-05
relative error = 0.0005885420765786756464577503202927 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.187e+04
Order of pole = 1.416e+08
TOP MAIN SOLVE Loop
memory used=793.4MB, alloc=4.9MB, time=36.32
t[1] = 1.672
x2[1] (analytic) = 1.0057228071376350497385731325789
x2[1] (numeric) = 1.0057302530939379935873253239478
absolute error = 7.4459563029438487521913689129025e-06
relative error = 0.00074035870024023982254902381573764 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003381677059513138471642337755
x1[1] (numeric) = 2.0003262564353007812752017800652
absolute error = 1.1911270650532571962453710317193e-05
relative error = 0.00059546284937375262079013978680126 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.189e+04
Order of pole = 1.417e+08
TOP MAIN SOLVE Loop
memory used=797.2MB, alloc=4.9MB, time=36.49
t[1] = 1.673
x2[1] (analytic) = 1.0057340950366793420437987931798
x2[1] (numeric) = 1.0057416375882197122325924441963
absolute error = 7.5425515403701887936510165133500e-06
relative error = 0.00074995484170148475398850817832698 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003378297072728683121522608481
x1[1] (numeric) = 2.0003257791845739551892891913513
absolute error = 1.2050522698913122863069496753157e-05
relative error = 0.00060242437652026920178006536400901 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.192e+04
Order of pole = 1.419e+08
TOP MAIN SOLVE Loop
memory used=801.1MB, alloc=4.9MB, time=36.66
t[1] = 1.674
x2[1] (analytic) = 1.0057454057031965025098279048871
x2[1] (numeric) = 1.0057530455912249098078631408285
absolute error = 7.6398880284072980352359413606880e-06
relative error = 0.00075962445218088224378122187693368 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003374920464241582024851445611
x1[1] (numeric) = 2.0003253014563576973522004180414
absolute error = 1.2190590066460850284726519759989e-05
relative error = 0.00060942666499688488994437328478519 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.194e+04
Order of pole = 1.420e+08
TOP MAIN SOLVE Loop
memory used=804.9MB, alloc=4.9MB, time=36.84
t[1] = 1.675
x2[1] (analytic) = 1.0057567391825980427808941069798
x2[1] (numeric) = 1.0057644771507353914135012144
absolute error = 7.7379681373486326071074201898585e-06
relative error = 0.00076936776418097479214860476827393 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003371547230675226413143702504
x1[1] (numeric) = 2.0003248232501742795078669370314
absolute error = 1.2331472893243133447433219048024e-05
relative error = 0.00061646972182298630153894296245186 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.197e+04
Order of pole = 1.421e+08
TOP MAIN SOLVE Loop
memory used=808.7MB, alloc=4.9MB, time=37.01
memory used=812.5MB, alloc=4.9MB, time=37.19
t[1] = 1.676
x2[1] (analytic) = 1.0057680955203865573230598570069
x2[1] (numeric) = 1.0057759323146293390555314859875
absolute error = 7.8367942427817324716289805918081e-06
relative error = 0.00077918501070835403853474410697955 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003368177368656382438940960886
x1[1] (numeric) = 2.0003243445655454954330203873747
absolute error = 1.2473171320142810873708713855417e-05
relative error = 0.00062355355405869425627842309644006 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.200e+04
Order of pole = 1.423e+08
TOP MAIN SOLVE Loop
memory used=816.3MB, alloc=4.9MB, time=37.37
t[1] = 1.677
x2[1] (analytic) = 1.0057794747621559056033167278204
x2[1] (numeric) = 1.0057874111308815053103605602171
absolute error = 7.9363687255997070438323967257177e-06
relative error = 0.00078907642527468347090943457781811 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003364810874815187802577402289
x1[1] (numeric) = 2.0003238654019926604589863071632
absolute error = 1.2615685488858321271433065704198e-05
relative error = 0.00063067816880487090565374970782016 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.202e+04
Order of pole = 1.424e+08
TOP MAIN SOLVE Loop
memory used=820.1MB, alloc=4.9MB, time=37.54
t[1] = 1.678
x2[1] (analytic) = 1.0057908769535913946335772525506
x2[1] (numeric) = 1.0057989136475634073779330038048
absolute error = 8.0366939720127443557512542079338e-06
relative error = 0.00079904224189772291168878692007237 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003361447745785148382317227565
x1[1] (numeric) = 2.000323385759036610992999424962
absolute error = 1.2759015541903845232297794483948e-05
relative error = 0.00063784357320312690185484668990086 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.205e+04
Order of pole = 1.426e+08
TOP MAIN SOLVE Loop
memory used=823.9MB, alloc=4.9MB, time=37.72
t[1] = 1.679
x2[1] (analytic) = 1.0058023021404699618802886622292
x2[1] (numeric) = 1.005810439912843521524101306575
absolute error = 8.1377723735596438126443457442609e-06
relative error = 0.00080908269510235478256581439381757 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003358087978203134867860254609
x1[1] (numeric) = 2.0003229056361977040390400271146
absolute error = 1.2903161622609447745998346325438e-05
relative error = 0.00064504977443582860730594952121486 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.207e+04
Order of pole = 1.427e+08
TOP MAIN SOLVE Loop
memory used=827.8MB, alloc=4.9MB, time=37.89
t[1] = 1.68
x2[1] (analytic) = 1.0058137503686603585404003230836
x2[1] (numeric) = 1.0058219899749874779129895509338
absolute error = 8.2396063271193725892278502315211e-06
relative error = 0.00081919801992161215054267997545352 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003354731568709379397212327797
x1[1] (numeric) = 2.0003224250329958167181909217523
absolute error = 1.3048123875121221530311027468549e-05
relative error = 0.00065229677972610534482103285885667 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.210e+04
Order of pole = 1.429e+08
TOP MAIN SOLVE Loop
memory used=831.6MB, alloc=4.9MB, time=38.07
memory used=835.4MB, alloc=4.9MB, time=38.24
t[1] = 1.681
x2[1] (analytic) = 1.0058252216841233331844181457718
x2[1] (numeric) = 1.0058335638823582558301322779055
absolute error = 8.3421982349226457141321336773205e-06
relative error = 0.00082938845189770855745551893843339 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003351378513947472196917176012
x1[1] (numeric) = 2.0003219439489503457885145198669
absolute error = 1.3193902444401431177197734213374e-05
relative error = 0.00065958459633785668838686280934595 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.213e+04
Order of pole = 1.430e+08
TOP MAIN SOLVE Loop
memory used=839.2MB, alloc=4.9MB, time=38.42
t[1] = 1.682
x2[1] (analytic) = 1.0058367161329118157672807070106
x2[1] (numeric) = 1.0058451616834163792971716031014
absolute error = 8.4455505045635298908960907636490e-06
relative error = 0.00083965422708306963528196125857814 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003348028810564358225646359484
x1[1] (numeric) = 2.0003214623835802071644495533233
absolute error = 1.3340497476228658115082625071235e-05
relative error = 0.00066691323157575979458123476199616 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.215e+04
Order of pole = 1.431e+08
TOP MAIN SOLVE Loop
memory used=843.0MB, alloc=4.9MB, time=38.59
t[1] = 1.683
x2[1] (analytic) = 1.0058482337611711020077932951665
x2[1] (numeric) = 1.0058567834267201130788972043881
absolute error = 8.5496655490110711039092216009399e-06
relative error = 0.00084999558204136650952066596511602 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003344682455210333821143949046
x1[1] (numeric) = 2.0003209803364038354357269492072
absolute error = 1.3487909117197946387445697404363e-05
relative error = 0.00067428269278527677463399776621204 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.218e+04
Order of pole = 1.433e+08
TOP MAIN SOLVE Loop
memory used=846.8MB, alloc=4.9MB, time=38.77
t[1] = 1.684
x2[1] (analytic) = 1.0058597746151390381373575654441
x2[1] (numeric) = 1.0058684291609256590834153745537
absolute error = 8.6545457866209460578091095759415e-06
relative error = 0.00086041275384855099293134502161998 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003341339444539043350522584731
x1[1] (numeric) = 2.000320497806939183385804379426
absolute error = 1.3636137514720949247879047159975e-05
relative error = 0.00068169298735266210713850653925719 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.220e+04
Order of pole = 1.434e+08
TOP MAIN SOLVE Loop
memory used=850.6MB, alloc=4.9MB, time=38.95
t[1] = 1.685
x2[1] (analytic) = 1.005871338741146206018735967323
x2[1] (numeric) = 1.0058800989347873531562349069566
absolute error = 8.7601936411471374989396335814482e-06
relative error = 0.00087090598009389257192289744785241 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003337999775207475863907564025
x1[1] (numeric) = 2.0003200147947037215098190039957
absolute error = 1.3785182817026076571752406767215e-05
relative error = 0.00068914412270497009142118230486365 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.223e+04
Order of pole = 1.436e+08
TOP MAIN SOLVE Loop
memory used=854.5MB, alloc=4.9MB, time=39.12
memory used=858.3MB, alloc=4.9MB, time=39.30
t[1] = 1.686
x2[1] (analytic) = 1.0058829261856161086355915868645
x2[1] (numeric) = 1.0058917927971578622690591599763
absolute error = 8.8666115417536334675731117215778e-06
relative error = 0.00088147549888101718787639506622568 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003334663443875961751425613404
x1[1] (numeric) = 2.0003195312992144375320579259675
absolute error = 1.3935045173158643084635372874788e-05
relative error = 0.00069663610631006234157690378563693 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.226e+04
Order of pole = 1.437e+08
TOP MAIN SOLVE Loop
memory used=862.1MB, alloc=4.9MB, time=39.47
t[1] = 1.687
x2[1] (analytic) = 1.0058945369950653559535455294465
x2[1] (numeric) = 1.0059035107969883821040752270807
absolute error = 8.9738019230261505296976342066829e-06
relative error = 0.0008921215488289478156887593567411 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.000333133044720816940353500016
x1[1] (numeric) = 2.0003190473199878359229458754636
absolute error = 1.4085724732981017407624552363867e-05
relative error = 0.00070416894567661532117798980357937 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.228e+04
Order of pole = 1.439e+08
TOP MAIN SOLVE Loop
memory used=865.9MB, alloc=4.9MB, time=39.64
t[1] = 1.688
x2[1] (analytic) = 1.0059061712161038511534954543866
x2[1] (numeric) = 1.0059152529833288350345327234876
absolute error = 9.0817672249838810372691009817037e-06
relative error = 0.00090284436907314684182204431301067 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003328000781871101874693644827
x1[1] (numeric) = 2.0003185628565399374155496398107
absolute error = 1.4237221647172771919724671975832e-05
relative error = 0.00071174264835412791866457508325131 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.231e+04
Order of pole = 1.440e+08
TOP MAIN SOLVE Loop
memory used=869.7MB, alloc=4.9MB, time=39.82
t[1] = 1.689
x2[1] (analytic) = 1.0059178288954349772379403617934
x2[1] (numeric) = 1.0059270194053280685024062877284
absolute error = 9.1905098930912644659259350661994e-06
relative error = 0.00091364419926656024414229278995678 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003324674444535093550361897893
x1[1] (numeric) = 2.0003180779083862785215987562754
absolute error = 1.4389536067230833437433513948448e-05
relative error = 0.00071935722193292906342422100115086 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.233e+04
Order of pole = 1.442e+08
TOP MAIN SOLVE Loop
memory used=873.5MB, alloc=4.9MB, time=39.99
t[1] = 1.69
x2[1] (analytic) = 1.005929510079855784011058223843
x2[1] (numeric) = 1.005938810112234053793937486939
absolute error = 9.3000323782697828792630960195799e-06
relative error = 0.00092452127958066357583096350122242 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003321351431873806817336647786
x1[1] (numeric) = 2.0003175924750419110470219834214
absolute error = 1.4542668145469634711681357257968e-05
relative error = 0.00072701267404418538256864318285617 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.236e+04
Order of pole = 1.443e+08
TOP MAIN SOLVE Loop
memory used=877.3MB, alloc=4.9MB, time=40.17
memory used=881.2MB, alloc=4.9MB, time=40.35
t[1] = 1.691
x2[1] (analytic) = 1.0059412148162571754332845475246
x2[1] (numeric) = 1.0059506251533940852138534083944
absolute error = 9.4103371369097805688608697781710e-06
relative error = 0.00093547585070650975565093244093482 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003318031740564228737413430476
x1[1] (numeric) = 2.0003171065560214016069990666262
absolute error = 1.4696618035021266742276421419234e-05
relative error = 0.00073470901235990889841547801637924 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.239e+04
Order of pole = 1.444e+08
TOP MAIN SOLVE Loop
memory used=885.0MB, alloc=4.9MB, time=40.52
t[1] = 1.692
x2[1] (analytic) = 1.0059529431516240973511414537357
x2[1] (numeric) = 1.0059624645782549796590608166975
absolute error = 9.5214266308823079193629617394317e-06
relative error = 0.00094650815385577866684805594950462 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003314715367286667724373214353
x1[1] (numeric) = 2.000316620150838831140527312808
absolute error = 1.4851385889835631910008627301903e-05
relative error = 0.00074244624459296476668305032606286 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.241e+04
Order of pole = 1.446e+08
TOP MAIN SOLVE Loop
memory used=888.8MB, alloc=4.9MB, time=40.70
t[1] = 1.693
x2[1] (analytic) = 1.0059646951330357256030683584447
x2[1] (numeric) = 1.0059743284363632765926163561145
absolute error = 9.6333033275509895479976697914473e-06
relative error = 0.00095761843076182856696824279539599 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003311402308724750224290537369
x1[1] (numeric) = 2.0003161332590077944245024889298
absolute error = 1.5006971864680597926564807079325e-05
relative error = 0.00075022437849707905540614463625266 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.244e+04
Order of pole = 1.447e+08
TOP MAIN SOLVE Loop
memory used=892.6MB, alloc=4.9MB, time=40.87
t[1] = 1.694
x2[1] (analytic) = 1.0059764708076656545020068454786
x2[1] (numeric) = 1.005986216777365438418774880842
absolute error = 9.7459696997839167680353634021063e-06
relative error = 0.00096880692368074931086891938258042 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003308092561565417399159676744
x1[1] (numeric) = 2.0003156458800413995873135583612
absolute error = 1.5163376115142152602409313238121e-05
relative error = 0.00075804342186684656458082264793106 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.247e+04
Order of pole = 1.449e+08
TOP MAIN SOLVE Loop
memory used=896.4MB, alloc=4.9MB, time=41.05
t[1] = 1.695
x2[1] (analytic) = 1.0059882702227820856954938273461
x2[1] (numeric) = 1.0059981296510080512599196024904
absolute error = 9.8594282259655644257751442922728e-06
relative error = 0.00098007387539241738920268539452441 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003304786122498921813835534877
x1[1] (numeric) = 2.0003151580134522676219507686932
absolute error = 1.5320598797624559432784794541944e-05
relative error = 0.00076590338253773868654636975454775 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.249e+04
Order of pole = 1.450e+08
TOP MAIN SOLVE Loop
memory used=900.2MB, alloc=4.9MB, time=41.22
memory used=904.1MB, alloc=4.9MB, time=41.40
t[1] = 1.696
x2[1] (analytic) = 1.0060000934257480174040186003726
x2[1] (numeric) = 1.0060100671071380261361793537866
absolute error = 9.9736813900087321607534140217457e-06
relative error = 0.00099141952920155278464984672741878 %
Correct digits = 5
h = 0.001
x1[1] (analytic) = 2.0003301482988218824126285928384
x1[1] (numeric) = 2.0003146696587525318986266041134
absolute error = 1.5478640069350514001988724963194e-05
relative error = 0.00077380426838611130711249363546068 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.252e+04
Order of pole = 1.452e+08
TOP MAIN SOLVE Loop
memory used=907.9MB, alloc=4.9MB, time=41.58
t[1] = 1.697
x2[1] (analytic) = 1.006011940464021434038400913316
x2[1] (numeric) = 1.0060220291957028005485398804404
absolute error = 1.0088731681366510138967124417602e-05
relative error = 0.0010028441289387776481753783248158 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003298183155421989781151970531
x1[1] (numeric) = 2.0003141808154538376769091149632
absolute error = 1.5637500088361301206082089872223e-05
relative error = 0.00078174608732921274743993818674953 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.254e+04
Order of pole = 1.453e+08
TOP MAIN SOLVE Loop
memory used=911.7MB, alloc=4.9MB, time=41.75
t[1] = 1.698
x2[1] (analytic) = 1.00602381138515549619694868455
x2[1] (numeric) = 1.0060340159667505404662576892886
absolute error = 1.0204581595044269309004738574221e-05
relative error = 0.0010143479189616767975847113793026 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003294886620808585706613240616
x1[1] (numeric) = 2.0003136914830673416173671366094
absolute error = 1.5797179013516953294187452205833e-05
relative error = 0.00078972884732519174668271627971962 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.257e+04
Order of pole = 1.455e+08
TOP MAIN SOLVE Loop
memory used=915.5MB, alloc=4.9MB, time=41.92
t[1] = 1.699
x2[1] (analytic) = 1.0060357062367987310431555218558
x2[1] (numeric) = 1.0060460274704303427193866002393
absolute error = 1.0321233631611676231078383556239e-05
relative error = 0.0010259311441558600406515571902275 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000329159338108207701455443716
x1[1] (numeric) = 2.0003132016611037112927269092761
absolute error = 1.5957677004496408728534439926306e-05
relative error = 0.00079775255637310548540020507721538 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.260e+04
Order of pole = 1.456e+08
TOP MAIN SOLVE Loop
memory used=919.3MB, alloc=4.9MB, time=42.09
t[1] = 1.7
x2[1] (analytic) = 1.0060476250666952230646997208581
x2[1] (numeric) = 1.0060580637569924377972287721894
absolute error = 1.0438690297214732529051331344075e-05
relative error = 0.0010375940499360263250897736352461 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000328830343294922370403021508
x1[1] (numeric) = 2.0003127113490731246985396099931
absolute error = 1.6118994221797671863411514829676e-05
relative error = 0.00080581722251292764974738788694755 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.262e+04
Order of pole = 1.457e+08
TOP MAIN SOLVE Loop
memory used=923.1MB, alloc=4.9MB, time=42.27
memory used=926.9MB, alloc=4.9MB, time=42.44
t[1] = 1.701
x2[1] (analytic) = 1.0060595679226848052145079431826
x2[1] (numeric) = 1.006070124876788393053523598985
absolute error = 1.0556954103587839015655802381457e-05
relative error = 0.0010493368822470297176400496025295 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003285016773120077368024910308
x1[1] (numeric) = 2.0003122205464852697633593073291
absolute error = 1.6281130826737973443183701668336e-05
relative error = 0.00081392285382555653645156678944506 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.265e+04
Order of pole = 1.459e+08
TOP MAIN SOLVE Loop
memory used=930.8MB, alloc=4.9MB, time=42.62
t[1] = 1.702
x2[1] (analytic) = 1.0060715348527032504346483035066
x2[1] (numeric) = 1.0060822108802713163191895006533
absolute error = 1.0676027568065884541197146721417e-05
relative error = 0.0010611598875649472145409277143357 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003281733398307977903503858614
x1[1] (numeric) = 2.0003117292528493438584308490858
absolute error = 1.6444086981453931919536775619069e-05
relative error = 0.0008220694584328231985839105460096 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.268e+04
Order of pole = 1.460e+08
TOP MAIN SOLVE Loop
memory used=934.6MB, alloc=4.9MB, time=42.79
t[1] = 1.703
x2[1] (analytic) = 1.0060835259047824635638191258274
x2[1] (numeric) = 1.0060943218179960599234352675491
absolute error = 1.0795913213596359616141721628049e-05
relative error = 0.0010730633128981483856524061252858 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003278453305229550224753018682
x1[1] (numeric) = 2.0003112374676740533068871926428
absolute error = 1.6607862848901715588109225354151e-05
relative error = 0.00083025704449749963213424256921614 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.270e+04
Order of pole = 1.462e+08
TOP MAIN SOLVE Loop
memory used=938.4MB, alloc=4.9MB, time=42.97
t[1] = 1.704
x2[1] (analytic) = 1.0060955411270506736292011634938
x2[1] (numeric) = 1.0061064577406194251240592507458
absolute error = 1.0916613568751494858087251983434e-05
relative error = 0.0010850474057883668544990559735921 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000327517649060470098000361278
x1[1] (numeric) = 2.0003107451904676128924556871497
absolute error = 1.6772458592857205544674128360976e-05
relative error = 0.00083848562022330700339751402510441 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.273e+04
Order of pole = 1.463e+08
TOP MAIN SOLVE Loop
memory used=942.2MB, alloc=4.9MB, time=43.14
t[1] = 1.705
x2[1] (analytic) = 1.0061075805677326265234426148327
x2[1] (numeric) = 1.006118618698900366947756330964
absolute error = 1.1038131167740424313716131380700e-05
relative error = 0.0010971124143117736164982620736692 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003271902951156615271338501653
x1[1] (numeric) = 2.0003102524207377453676728162706
absolute error = 1.6937874377916159461033894705685e-05
relative error = 0.00084675519385492391718044743228273 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.275e+04
Order of pole = 1.465e+08
TOP MAIN SOLVE Loop
memory used=946.0MB, alloc=4.9MB, time=43.32
memory used=949.8MB, alloc=4.9MB, time=43.49
t[1] = 1.706
x2[1] (analytic) = 1.0061196442751497780675478065752
x2[1] (numeric) = 1.0061308047437001994412542405729
absolute error = 1.1160468550421373706433997764353e-05
relative error = 0.0011092585870800521976378405365326 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003268632683611753377877013536
x1[1] (numeric) = 2.0003097591579916809616069096984
absolute error = 1.7104110369494376180791655149171e-05
relative error = 0.00085506577367799472583687642875537 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.278e+04
Order of pole = 1.466e+08
TOP MAIN SOLVE Loop
memory used=953.6MB, alloc=4.9MB, time=43.67
t[1] = 1.707
x2[1] (analytic) = 1.0061317322977204874604419607327
x2[1] (numeric) = 1.006143015925982801334102458731
absolute error = 1.1283628262313873660497998317570e-05
relative error = 0.0011214861732414756558659080621781 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003265365684699847482234950476
x1[1] (numeric) = 2.0003092654017361568870883311582
absolute error = 1.7271166733827861135163889400572e-05
relative error = 0.00086341736801913787914034769242513 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.281e+04
Order of pole = 1.468e+08
TOP MAIN SOLVE Loop
memory used=957.5MB, alloc=4.9MB, time=43.84
t[1] = 1.708
x2[1] (analytic) = 1.0061438446839602111159860071185
x2[1] (numeric) = 1.0061552522968148221139385485629
absolute error = 1.1407612854610997952541444403849e-05
relative error = 0.0011337954224819854274544735372663 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003262101951153898400256498433
x1[1] (numeric) = 2.000308771151477416847446650133
absolute error = 1.7439043637972992578999710334667e-05
relative error = 0.00087180998524595431500259132595308 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.283e+04
Order of pole = 1.469e+08
TOP MAIN SOLVE Loop
memory used=961.3MB, alloc=4.9MB, time=44.02
t[1] = 1.709
x2[1] (analytic) = 1.0061559814824816968882169533456
x2[1] (numeric) = 1.0061675139073658885150584573948
absolute error = 1.1532424884191626841504049158802e-05
relative error = 0.0011461865850262720205967931629357 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003258841479710172314014770866
x1[1] (numeric) = 2.0003082764067212105427543040464
absolute error = 1.7607741249806688647173040206306e-05
relative error = 0.00088024363376703589104650635101574 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.286e+04
Order of pole = 1.471e+08
TOP MAIN SOLVE Loop
memory used=965.1MB, alloc=4.9MB, time=44.20
t[1] = 1.71
x2[1] (analytic) = 1.0061681427419951786855908768716
x2[1] (numeric) = 1.0061798008089088114211189565098
absolute error = 1.1658066913632735528079638209214e-05
relative error = 0.0011586599116388575584970755019902 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003255584267108197508077718832
x1[1] (numeric) = 2.0003077811669727931755762571479
absolute error = 1.7777259738026575231514735267976e-05
relative error = 0.00088871832203197385704234830102388 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.289e+04
Order of pole = 1.472e+08
TOP MAIN SOLVE Loop
memory used=968.9MB, alloc=4.9MB, time=44.37
t[1] = 1.711
memory used=972.7MB, alloc=4.9MB, time=44.55
x2[1] (analytic) = 1.0061803285113085714750071595079
x2[1] (numeric) = 1.0061921130528197931828020556363
absolute error = 1.1784541511221707794896128384099e-05
relative error = 0.0011712156536251801742096424420629 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003252330310090761109036143848
x1[1] (numeric) = 2.0003072854317369249562251618491
absolute error = 1.7947599272151154678452535736621e-05
relative error = 0.00089723405853136736821584625509588 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.291e+04
Order of pole = 1.474e+08
TOP MAIN SOLVE Loop
memory used=976.5MB, alloc=4.9MB, time=44.72
t[1] = 1.712
x2[1] (analytic) = 1.0061925388393276666763941437752
x2[1] (numeric) = 1.0062044506905786353512728894558
absolute error = 1.1911851250968674878745680590185e-05
relative error = 0.0011838540628326802594831459912076 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003249079605403905828290553049
x1[1] (numeric) = 2.0003067892005178706075215277661
absolute error = 1.8118760022519975307527538763707e-05
relative error = 0.00090579085179683203943701701955003 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.294e+04
Order of pole = 1.475e+08
TOP MAIN SOLVE Loop
memory used=980.3MB, alloc=4.9MB, time=44.90
t[1] = 1.713
x2[1] (analytic) = 1.0062047737750563279486379525682
x2[1] (numeric) = 1.0062168137737689468282642388199
absolute error = 1.2039998712618879626286251667061e-05
relative error = 0.0011965753916518885698639089237395 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000324583214979692670809359942
x1[1] (numeric) = 2.0003062924728193988690584032291
absolute error = 1.8290742160293801750956712939162e-05
relative error = 0.00091438871040100854029848453643243 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.297e+04
Order of pole = 1.477e+08
TOP MAIN SOLVE Loop
memory used=984.2MB, alloc=4.9MB, time=45.08
t[1] = 1.714
x2[1] (analytic) = 1.006217033367596687367637778804
x2[1] (numeric) = 1.0062292023540783524336225181004
absolute error = 1.2168986481665065984739296430681e-05
relative error = 0.0012093798930175161883108994455643 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003242587940022367870844853163
x1[1] (numeric) = 2.0003057952481447820009700735224
absolute error = 1.8463545857454786114411793905865e-05
relative error = 0.00092302764295757123109215298166929 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.299e+04
Order of pole = 1.478e+08
TOP MAIN SOLVE Loop
memory used=988.0MB, alloc=4.9MB, time=45.25
t[1] = 1.715
x2[1] (analytic) = 1.0062293176661493419972725200723
x2[1] (numeric) = 1.006241616483298701891151732178
absolute error = 1.2298817149359893879212105674533e-05
relative error = 0.0012222678204095463495732661177403 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000323934697283601927163465347
x1[1] (numeric) = 2.0003052975259967952872042796251
absolute error = 1.8637171286806639959185721877873e-05
relative error = 0.000931707658121236839693122408362 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.302e+04
Order of pole = 1.479e+08
TOP MAIN SOLVE Loop
memory used=991.8MB, alloc=4.9MB, time=45.43
t[1] = 1.716
x2[1] (analytic) = 1.0062416267200135508540652047895
x2[1] (numeric) = 1.0062540562133262792335935819985
absolute error = 1.2429493312728379528377209042979e-05
relative error = 0.0012352394278543281275797491321234 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003236109244996913454033793266
x1[1] (numeric) = 2.0003047993058777165382974607233
absolute error = 1.8811618621974807105918603243136e-05
relative error = 0.00094042876458777317935977619356941 %
Correct digits = 5
h = 0.001
memory used=995.6MB, alloc=4.9MB, time=45.61
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.305e+04
Order of pole = 1.481e+08
TOP MAIN SOLVE Loop
memory used=999.4MB, alloc=4.9MB, time=45.78
t[1] = 1.717
x2[1] (analytic) = 1.0062539605785874322663332309858
x2[1] (numeric) = 1.0062665215961620126275835764096
absolute error = 1.2561017574580361250345423839102e-05
relative error = 0.0012482949699256719880876475406712 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003232874753267322309125792698
x1[1] (numeric) = 2.0003043005872893255936525232698
absolute error = 1.8986888037406637260055999991069e-05
relative error = 0.00094919097109400790745900995968226 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.307e+04
Order of pole = 1.482e+08
TOP MAIN SOLVE Loop
memory used=1003.2MB, alloc=4.9MB, time=45.96
t[1] = 1.718
x2[1] (analytic) = 1.0062663192913681616286140166405
x2[1] (numeric) = 1.0062790126839116846194246901329
absolute error = 1.2693392543522990810673492398948e-05
relative error = 0.0012614347017459472088373590668282 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003229643494412753837778520407
x1[1] (numeric) = 2.0003038013697329038233186388682
absolute error = 1.9162979708371560459213172437746e-05
relative error = 0.00095799428641783732512561206422836 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.310e+04
Order of pole = 1.484e+08
TOP MAIN SOLVE Loop
memory used=1007.1MB, alloc=4.9MB, time=46.13
t[1] = 1.719
x2[1] (analytic) = 1.0062787029079521695521572414161
x2[1] (numeric) = 1.0062915295287861428025217932382
absolute error = 1.2826620833973250364551822075137e-05
relative error = 0.0012746588789871811694568195393858 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003226415465201948916151924856
x1[1] (numeric) = 2.000303301652709233629272572763
absolute error = 1.9339893810961262342619722627477e-05
relative error = 0.0009668387193782352178648461846919 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.313e+04
Order of pole = 1.485e+08
TOP MAIN SOLVE Loop
memory used=1010.9MB, alloc=4.9MB, time=46.31
t[1] = 1.72
x2[1] (analytic) = 1.0062911114780353404122764437494
x2[1] (numeric) = 1.0063040721831015109073217663729
absolute error = 1.2960705066170495045322623546149e-05
relative error = 0.001287967757872160513358452651777 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003223190662406878064438641218
x1[1] (numeric) = 2.0003028014357185979462010442139
absolute error = 1.9517630522089860242819907870043e-05
relative error = 0.0009757242788352617371073269677256 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.315e+04
Order of pole = 1.487e+08
TOP MAIN SOLVE Loop
memory used=1014.7MB, alloc=4.9MB, time=46.48
t[1] = 1.721
x2[1] (analytic) = 1.0063035450514132112933543245352
x2[1] (numeric) = 1.0063166406992794003146059082707
absolute error = 1.3095647866189021251583735524637e-05
relative error = 0.0013013615951755341838694975279074 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003219969082802738218834242566
x1[1] (numeric) = 2.0003023007182607797417836195405
absolute error = 1.9696190019494080099804716128547e-05
relative error = 0.00098465097369007232272532016501707 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.318e+04
Order of pole = 1.488e+08
memory used=1018.5MB, alloc=4.9MB, time=46.66
TOP MAIN SOLVE Loop
memory used=1022.3MB, alloc=4.9MB, time=46.84
t[1] = 1.722
x2[1] (analytic) = 1.0063160036779811713322976990888
x2[1] (numeric) = 1.0063292351298471219929829377162
absolute error = 1.3231451865950660685238627401404e-05
relative error = 0.0013148406482249183368348113337915 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003216750723167949506733907335
x1[1] (numeric) = 2.0003017994998350615164756381161
absolute error = 1.9875572481733434197752617404733e-05
relative error = 0.00099361881288492666651963914108141 %
Correct digits = 5
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.320e+04
Order of pole = 1.490e+08
TOP MAIN SOLVE Loop
memory used=1026.1MB, alloc=4.9MB, time=47.01
t[1] = 1.723
x2[1] (analytic) = 1.0063284874077346614612396327143
x2[1] (numeric) = 1.0063418555274378988614325912007
absolute error = 1.3368119703237400192958486354189e-05
relative error = 0.0013284051749020031319294467763915 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003213535580284152025152278253
x1[1] (numeric) = 2.0003012977799402248027906710974
absolute error = 2.0055778088190399724556727877302e-05
relative error = 0.0010026278054031977166863501114268 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.323e+04
Order of pole = 1.491e+08
TOP MAIN SOLVE Loop
memory used=1029.9MB, alloc=4.9MB, time=47.18
t[1] = 1.724
x2[1] (analytic) = 1.0063409962907693745502878920317
x2[1] (numeric) = 1.0063545019447910785777515199541
absolute error = 1.3505654021704027463627922396495e-05
relative error = 0.0013420554336436614049164796405695 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003210323650936202622363291157
x1[1] (numeric) = 2.0003007955580745496640820121694
absolute error = 2.0236807019070598154316946335298e-05
relative error = 0.0010116779602693807232725389529193 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.326e+04
Order of pole = 1.493e+08
TOP MAIN SOLVE Loop
memory used=1033.8MB, alloc=4.9MB, time=47.36
t[1] = 1.725
x2[1] (analytic) = 1.0063535303772814559511204442431
x2[1] (numeric) = 1.0063671744347523467537548959073
absolute error = 1.3644057470890802634451664166015e-05
relative error = 0.0013557916834430592230837093948563 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003207114931912171682756755341
x1[1] (numeric) = 2.0003002928337358141928226990886
absolute error = 2.0418659455402975452976445413625e-05
relative error = 0.0010207692865491023246304329217946 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.328e+04
Order of pole = 1.494e+08
TOP MAIN SOLVE Loop
memory used=1037.6MB, alloc=4.9MB, time=47.54
t[1] = 1.726
x2[1] (analytic) = 1.0063660897175677044422303397424
x2[1] (numeric) = 1.0063798730502739405980888454128
absolute error = 1.3783332706236155858505670380735e-05
relative error = 0.0013696141838507683260909762091995 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003203909420003339914908470281
x1[1] (numeric) = 2.0002997896064212940083835643048
absolute error = 2.0601335579039983107282723282222e-05
relative error = 0.001029901793349129674879211118666 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.331e+04
Order of pole = 1.496e+08
memory used=1041.4MB, alloc=4.9MB, time=47.71
TOP MAIN SOLVE Loop
memory used=1045.2MB, alloc=4.9MB, time=47.89
t[1] = 1.727
x2[1] (analytic) = 1.0063786743620257735766239199148
x2[1] (numeric) = 1.006392597844414862987510542262
absolute error = 1.3923482389089410886622347250054e-05
relative error = 0.0013835231949758804544579303348241 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003200707112004195142860666824
x1[1] (numeric) = 2.0002992858756277617543088124376
absolute error = 2.0784835572657759977254244765024e-05
relative error = 0.0010390754898173796123838780541 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.334e+04
Order of pole = 1.497e+08
TOP MAIN SOLVE Loop
memory used=1049.0MB, alloc=4.9MB, time=48.06
t[1] = 1.728
x2[1] (analytic) = 1.0063912843611543734327779016217
x2[1] (numeric) = 1.0064053488703410969674945076628
absolute error = 1.4064509186723534716606041145726e-05
relative error = 0.001397518977487123567920154559162 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003197508004712429100609564096
x1[1] (numeric) = 2.0002987816408514865950886218853
absolute error = 2.0969159619756314972334524370505e-05
relative error = 0.0010482903851429278692606151929105 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.336e+04
Order of pole = 1.499e+08
TOP MAIN SOLVE Loop
memory used=1052.8MB, alloc=4.9MB, time=48.24
t[1] = 1.729
x2[1] (analytic) = 1.006403919765553472769662502745
x2[1] (numeric) = 1.006418126181325820683025384414
absolute error = 1.4206415772347913362881668941519e-05
relative error = 0.0014116017926139799558795772282831 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003194312094928934229796836648
x1[1] (numeric) = 2.0002982769015882337124282673374
absolute error = 2.1154307904659710551416327403113e-05
relative error = 0.001057546488556018321918065890298 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.339e+04
Order of pole = 1.500e+08
TOP MAIN SOLVE Loop
memory used=1056.6MB, alloc=4.9MB, time=48.41
t[1] = 1.73
x2[1] (analytic) = 1.0064165806259245015866393892681
x2[1] (numeric) = 1.0064309298307496227404391755242
absolute error = 1.4349204825121153799786256050296e-05
relative error = 0.0014257719021478062421731219856703 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003191119379457800480601789497
x1[1] (numeric) = 2.0002977716573332638010132594605
absolute error = 2.1340280612516247046919489195083e-05
relative error = 0.0010668438093280722826440496783714 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.342e+04
Order of pole = 1.502e+08
TOP MAIN SOLVE Loop
memory used=1060.5MB, alloc=4.9MB, time=48.59
t[1] = 1.731
x2[1] (analytic) = 1.0064292669930705540890448437105
x2[1] (numeric) = 1.0064437598721007180011766639853
absolute error = 1.4492879030163912131820274752896e-05
relative error = 0.0014400295684429552863815207692748 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003187929855106312115831041985
x1[1] (numeric) = 2.0002972659075813325637699975219
absolute error = 2.1527077929298647813106676551814e-05
relative error = 0.001076182356771697832247242417474 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.344e+04
Order of pole = 1.503e+08
memory used=1064.3MB, alloc=4.9MB, time=48.76
TOP MAIN SOLVE Loop
memory used=1068.1MB, alloc=4.9MB, time=48.94
t[1] = 1.732
x2[1] (analytic) = 1.0064419789178965920602701773157
x2[1] (numeric) = 1.006456616358975163808314460329
absolute error = 1.4637441078571748044283013355584e-05
relative error = 0.0014543750544178999838981685977809 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003184743518684944518202524524
x1[1] (numeric) = 2.0002967596518266902066214302127
absolute error = 2.1714700041804245198822239742004e-05
relative error = 0.0010855621402406991937633993931346 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.347e+04
Order of pole = 1.505e+08
TOP MAIN SOLVE Loop
memory used=1071.9MB, alloc=4.9MB, time=49.11
t[1] = 1.733
x2[1] (analytic) = 1.0064547164514096486411530342202
x2[1] (numeric) = 1.0064694993450770766467408579807
absolute error = 1.4782893667428005587823760463770e-05
relative error = 0.0014688086235563589669758221205959 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003181560367007361000820595521
x1[1] (numeric) = 2.0002962528895630809327372194243
absolute error = 2.1903147137655167344840127786875e-05
relative error = 0.0010949831691300861472357390164083 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.350e+04
Order of pole = 1.506e+08
TOP MAIN SOLVE Loop
memory used=1075.7MB, alloc=4.9MB, time=49.29
t[1] = 1.734
x2[1] (analytic) = 1.0064674796447190325174948649178
x2[1] (numeric) = 1.0064824088842188492378454132765
absolute error = 1.4929239499816720350548358651800e-05
relative error = 0.0014833305399084242089668386624056 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003178380396890409620839088953
x1[1] (numeric) = 2.0002957456202837424362779012309
absolute error = 2.2092419405298525806007664411992e-05
relative error = 0.0011044454528760834855791453729125 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.353e+04
Order of pole = 1.508e+08
TOP MAIN SOLVE Loop
memory used=1079.5MB, alloc=4.9MB, time=49.46
t[1] = 1.735
x2[1] (analytic) = 1.0064802685490365325165214786771
x2[1] (numeric) = 1.0064953450303213680695929073456
absolute error = 1.5076481284835553071428668475403e-05
relative error = 0.0014979410680916905339705184198306 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000317520360515411999630910626
x1[1] (numeric) = 2.0002952378434814053956325378192
absolute error = 2.2282517034006603998372806821071e-05
relative error = 0.0011139490009561405115378884640272 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.355e+04
Order of pole = 1.509e+08
TOP MAIN SOLVE Loop
memory used=1083.3MB, alloc=4.9MB, time=49.63
t[1] = 1.736
x2[1] (analytic) = 1.0064930832156766226131052201859
x2[1] (numeric) = 1.0065083078374142313628540908735
absolute error = 1.5224621737608749748870687549252e-05
relative error = 0.0015126404732923870340989494218452 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003172029988621700126208369396
x1[1] (numeric) = 2.0002947295586482929661493536052
absolute error = 2.2473440213877046471483334434750e-05
relative error = 0.001123493822888940575746601592562 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.358e+04
Order of pole = 1.511e+08
memory used=1087.2MB, alloc=4.9MB, time=49.81
TOP MAIN SOLVE Loop
memory used=1091.0MB, alloc=4.9MB, time=49.98
t[1] = 1.737
x2[1] (analytic) = 1.0065059236960566673465689545825
x2[1] (numeric) = 1.0065212973596359674748673600733
absolute error = 1.5373663579300128298405490732253e-05
relative error = 0.0015274290212665103965705627037509 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003168859544119533213648955077
x1[1] (numeric) = 2.0002942207652761202723588482678
absolute error = 2.2665189135833049006047239909270e-05
relative error = 0.0011330799282344106559042959647278 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.361e+04
Order of pole = 1.512e+08
TOP MAIN SOLVE Loop
memory used=1094.8MB, alloc=4.9MB, time=50.16
t[1] = 1.738
x2[1] (analytic) = 1.0065187900416971276488936872041
x2[1] (numeric) = 1.0065343136512342537407072630008
absolute error = 1.5523609537126091813575796763854e-05
relative error = 0.0015423069783409601428383837226042 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003165692268477174492260233422
x1[1] (numeric) = 2.0002937114628560938996888789221
absolute error = 2.2857763991623549537144420111319e-05
relative error = 0.0011427073265937309770712332105376 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.363e+04
Order of pole = 1.514e+08
TOP MAIN SOLVE Loop
memory used=1098.6MB, alloc=4.9MB, time=50.33
t[1] = 1.739
x2[1] (analytic) = 1.0065316823042217670851532898368
x2[1] (numeric) = 1.0065473567665661357536374896612
absolute error = 1.5674462344368668484199824412700e-05
relative error = 0.0015572746114146757819577152155748 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003162528158527348055743837382
x1[1] (numeric) = 2.0002932016508789113856712031479
absolute error = 2.3051164973823419903180590276620e-05
relative error = 0.0011523760276093446730985171658197 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.366e+04
Order of pole = 1.515e+08
TOP MAIN SOLVE Loop
memory used=1102.4MB, alloc=4.9MB, time=50.51
t[1] = 1.74
x2[1] (analytic) = 1.0065446005353578585070014540056
x2[1] (numeric) = 1.0065604267600982470852277571833
absolute error = 1.5826224740388578226303177772424e-05
relative error = 0.0015723321879597758803957063266529 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003159367211105943690597492498
x1[1] (numeric) = 2.0002926913288347607106389740795
absolute error = 2.3245392275833658420775170322166e-05
relative error = 0.0011620860409649674892003069109196 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.369e+04
Order of pole = 1.517e+08
TOP MAIN SOLVE Loop
memory used=1106.2MB, alloc=4.9MB, time=50.69
t[1] = 1.741
x2[1] (analytic) = 1.0065575447869363911200376438888
x2[1] (numeric) = 1.006573523686407029446115762685
absolute error = 1.5978899470638326078118796206803e-05
relative error = 0.0015874799760226990504829527558254 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003156209423052013712004539728
x1[1] (numeric) = 2.0002921804962133197879146782545
absolute error = 2.3440446091881583285775718216040e-05
relative error = 0.0011718373763855975256785937239083 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.371e+04
Order of pole = 1.518e+08
TOP MAIN SOLVE Loop
memory used=1110.0MB, alloc=4.9MB, time=50.86
memory used=1113.9MB, alloc=4.9MB, time=51.03
t[1] = 1.742
x2[1] (analytic) = 1.0065705151108922779658804768053
x2[1] (numeric) = 1.0065866476001789532882971413253
absolute error = 1.6132489286675322416664520047777e-05
relative error = 0.0016027182442253468597049327721202 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003153054791207769802885987211
x1[1] (numeric) = 2.0002916691525037559534880064097
absolute error = 2.3636326617021026800592311435362e-05
relative error = 0.0011816300436375250228105252797651 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.374e+04
Order of pole = 1.520e+08
TOP MAIN SOLVE Loop
memory used=1117.7MB, alloc=4.9MB, time=51.21
t[1] = 1.743
x2[1] (analytic) = 1.0065835115592645638197786178897
x2[1] (numeric) = 1.0065997985562107388498281354486
absolute error = 1.6286996946175030049517558925201e-05
relative error = 0.001618047261766228663028714031063 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003149903312418579856111930048
x1[1] (numeric) = 2.0002911572971947254551831469009
absolute error = 2.3833034047132530428046103862929e-05
relative error = 0.001191464052528342186908301111584 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.377e+04
Order of pole = 1.521e+08
TOP MAIN SOLVE Loop
memory used=1121.5MB, alloc=4.9MB, time=51.39
t[1] = 1.744
x2[1] (analytic) = 1.0065965341841966335045909375676
x2[1] (numeric) = 1.0066129766094095776428274526736
absolute error = 1.6442425212944138236515105998284e-05
relative error = 0.0016334672984216083604579661008359 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003146754983532964819869180276
x1[1] (numeric) = 2.0002906449297743729413149909156
absolute error = 2.4030568578923540671927111987375e-05
relative error = 0.0012013394129069530575617040454159 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.379e+04
Order of pole = 1.523e+08
TOP MAIN SOLVE Loop
memory used=1125.3MB, alloc=4.9MB, time=51.56
t[1] = 1.745
x2[1] (analytic) = 1.0066095830379364206219693457597
x2[1] (numeric) = 1.0066261818147933543856655662785
absolute error = 1.6598776856933763696220518807651e-05
relative error = 0.0016489786245466530820068832819475 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003143609801402595546181952439
x1[1] (numeric) = 2.000290132049730330948833738133
absolute error = 2.4228930409928605784457110980937e-05
relative error = 0.0012112561346635834160733730269327 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.382e+04
Order of pole = 1.525e+08
TOP MAIN SOLVE Loop
memory used=1129.1MB, alloc=4.9MB, time=51.74
t[1] = 1.746
x2[1] (analytic) = 1.0066226581728366167015793853993
x2[1] (numeric) = 1.0066394142274908693802314902858
absolute error = 1.6756054654252678652104886416952e-05
relative error = 0.0016645815110765838022811615541643 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003140467762882289642582453251
x1[1] (numeric) = 2.000289618656549719390957390977
absolute error = 2.4428119738509573300854348134137e-05
relative error = 0.001221214227729790735096963475733 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.385e+04
Order of pole = 1.526e+08
TOP MAIN SOLVE Loop
memory used=1132.9MB, alloc=4.9MB, time=51.91
memory used=1136.8MB, alloc=4.9MB, time=52.09
t[1] = 1.747
x2[1] (analytic) = 1.0066357596413548807691953398408
x2[1] (numeric) = 1.0066526739027420613351688442642
absolute error = 1.6914261387180565973504423408137e-05
relative error = 0.0016802762295278278868516821528722 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003137328864830008326928227025
x1[1] (numeric) = 2.0002891047497191450442916250942
absolute error = 2.4628136763855788401197608228537e-05
relative error = 0.001231213702078474169488382031829 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.387e+04
Order of pole = 1.528e+08
TOP MAIN SOLVE Loop
memory used=1140.6MB, alloc=4.9MB, time=52.27
t[1] = 1.748
x2[1] (analytic) = 1.006648887496054049334508284077
x2[1] (numeric) = 1.0066659608958982306359748090515
absolute error = 1.7073399844181301466524974579746e-05
relative error = 0.0016960630519991735726040322154749 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003134193104106853285363111696
x1[1] (numeric) = 2.0002885903287247010354365231769
absolute error = 2.4828981685984293099787992728183e-05
relative error = 0.0012412545677238845883803232987139 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.390e+04
Order of pole = 1.529e+08
TOP MAIN SOLVE Loop
memory used=1144.4MB, alloc=4.9MB, time=52.44
t[1] = 1.749
x2[1] (analytic) = 1.0066620417896023467994871883821
x2[1] (numeric) = 1.0066792752624222630628573643624
absolute error = 1.7233472819916263370175980318703e-05
relative error = 0.0017119422511729263842444399968419 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003131060477577063533418663394
x1[1] (numeric) = 2.0002880753930519663270796587372
absolute error = 2.5030654705740026262207602168086e-05
relative error = 0.0012513368347216346484903769384326 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.393e+04
Order of pole = 1.531e+08
TOP MAIN SOLVE Loop
memory used=1148.2MB, alloc=4.9MB, time=52.62
t[1] = 1.75
x2[1] (analytic) = 1.0066752225747735962881348650477
x2[1] (numeric) = 1.0066926170578888539572479925897
absolute error = 1.7394483115257669113127542019903e-05
relative error = 0.0017279141003160674891401181806082 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003127930982108012280252910656
x1[1] (numeric) = 2.0002875599421860052035750159268
absolute error = 2.5233156024796024450275138815130e-05
relative error = 0.0012614605131687089086730142363157 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.395e+04
Order of pole = 1.532e+08
TOP MAIN SOLVE Loop
memory used=1152.0MB, alloc=4.9MB, time=52.79
t[1] = 1.751
x2[1] (analytic) = 1.0066884299044474308984822343058
x2[1] (numeric) = 1.0067059863379847328378688300458
absolute error = 1.7556433537301939386595740061921e-05
relative error = 0.0017439788732814139926693936591461 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003124804614570203796023302536
x1[1] (numeric) = 2.000287043975611366756007230979
absolute error = 2.5436485845653623595099274573709e-05
relative error = 0.001271625613203473985725804026523 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.398e+04
Order of pole = 1.534e+08
TOP MAIN SOLVE Loop
memory used=1155.8MB, alloc=4.9MB, time=52.96
memory used=1159.6MB, alloc=4.9MB, time=53.14
t[1] = 1.752
x2[1] (analytic) = 1.0067016638316095053776660743297
x2[1] (numeric) = 1.0067193831585088884672550474238
absolute error = 1.7719326899383089588973094160062e-05
relative error = 0.0017601368445087811762543556675533 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003121681371837270282390717969
x1[1] (numeric) = 2.0002865274928120843667406403397
absolute error = 2.5640644371642661498431457206287e-05
relative error = 0.0012818321450056887514602486543125 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.401e+04
Order of pole = 1.535e+08
TOP MAIN SOLVE Loop
memory used=1163.5MB, alloc=4.9MB, time=53.31
t[1] = 1.753
x2[1] (analytic) = 1.0067149244093517082209371123795
x2[1] (numeric) = 1.0067328075753727943696350453974
absolute error = 1.7883166021086148697933017858976e-05
relative error = 0.0017763882890261466802460761837659 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003118561250785968746151406903
x1[1] (numeric) = 2.0002860104932716751934526200341
absolute error = 2.5845631806921681162520656238566e-05
relative error = 0.0012920801187965145710476714470526 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.404e+04
Order of pole = 1.537e+08
TOP MAIN SOLVE Loop
memory used=1167.3MB, alloc=4.9MB, time=53.49
t[1] = 1.754
x2[1] (analytic) = 1.0067282116908723741954470097272
x2[1] (numeric) = 1.0067462596446006348010728590332
absolute error = 1.8047953728260605625849305946727e-05
relative error = 0.0017927334824508166338297468950506 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003115444248296177875993736823
x1[1] (numeric) = 2.0002854929764731396526507003039
absolute error = 2.6051448356478134948673378420936e-05
relative error = 0.0013023695448385255826506279734562 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.406e+04
Order of pole = 1.538e+08
TOP MAIN SOLVE Loop
memory used=1171.1MB, alloc=4.9MB, time=53.66
t[1] = 1.755
x2[1] (analytic) = 1.0067415257294764972896644919538
x2[1] (numeric) = 1.0067597394223295311727789760599
absolute error = 1.8213692853033883114484106121524e-05
relative error = 0.0018091727009905937341143356272619 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000311233036125089492237662143
x1[1] (numeric) = 2.0002849749418989609026729390317
absolute error = 2.6258094226128589564723111323251e-05
relative error = 0.0013127004334357190183503541893871 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.409e+04
Order of pole = 1.540e+08
TOP MAIN SOLVE Loop
memory used=1174.9MB, alloc=4.9MB, time=53.84
t[1] = 1.756
x2[1] (analytic) = 1.0067548665785759440892725785733
x2[1] (numeric) = 1.006773246964809768928497589038
absolute error = 1.8380386233824839225010464773592e-05
relative error = 0.0018257062214449472765685917833773 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000310921958653623258052651135
x1[1] (numeric) = 2.0002844563890311043261710369525
absolute error = 2.6465569622518931881614182549441e-05
relative error = 0.0013230727949335255663808053988987 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.412e+04
Order of pole = 1.541e+08
TOP MAIN SOLVE Loop
memory used=1178.7MB, alloc=4.9MB, time=54.02
memory used=1182.5MB, alloc=4.9MB, time=54.19
t[1] = 1.757
x2[1] (analytic) = 1.0067682342916896675804005717082
x2[1] (numeric) = 1.0067867823284050248768801201099
absolute error = 1.8548036715357296479548401710853e-05
relative error = 0.0018423343212061851389624248874099 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003106111921041415876549829871
x1[1] (numeric) = 2.0002839373173510170120756771359
absolute error = 2.6673874753124575579305851172994e-05
relative error = 0.0013334866397188197746798808009589 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.414e+04
Order of pole = 1.543e+08
TOP MAIN SOLVE Loop
memory used=1186.3MB, alloc=4.9MB, time=54.37
t[1] = 1.758
x2[1] (analytic) = 1.0067816289224439213810461727226
x2[1] (numeric) = 1.0068003455695925949797566792831
absolute error = 1.8716647148673598710506560512127e-05
relative error = 0.0018590572782606277209698426237141 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003103007361658779056657739815
x1[1] (numeric) = 2.0002834177263396272370435707042
absolute error = 2.6883009826250668622203277314593e-05
relative error = 0.0013439419782199304957684692456326 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.417e+04
Order of pole = 1.544e+08
TOP MAIN SOLVE Loop
memory used=1190.2MB, alloc=4.9MB, time=54.54
t[1] = 1.759
x2[1] (analytic) = 1.0067950505245724744015448083263
x2[1] (numeric) = 1.0068139367449636225972189431266
absolute error = 1.8886220391148195674134800390346e-05
relative error = 0.0018758753711897838415867646442638 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000309990590528376247950013078
x1[1] (numeric) = 2.0002828976154773439463856902327
absolute error = 2.7092975051032301564322845310187e-05
relative error = 0.0013544388209066513729679926883656 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.420e+04
Order of pole = 1.546e+08
TOP MAIN SOLVE Loop
memory used=1194.0MB, alloc=4.9MB, time=54.71
t[1] = 1.76
x2[1] (analytic) = 1.0068084991519168259349449636972
x2[1] (numeric) = 1.0068275559112233271904297703396
absolute error = 1.9056759306501255484806642446560e-05
relative error = 0.0018927888791715285965141257314251 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003096807548814909511605719075
x1[1] (numeric) = 2.0002823769842440562344761717619
absolute error = 2.7303770637434716684400145652168e-05
relative error = 0.0013649771782902513679671647074907 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.423e+04
Order of pole = 1.548e+08
TOP MAIN SOLVE Loop
memory used=1197.8MB, alloc=4.9MB, time=54.89
t[1] = 1.761
x2[1] (analytic) = 1.006821974858426421178150039638
x2[1] (numeric) = 1.0068412031251912334830767038965
absolute error = 1.9228266764812304926664258449906e-05
relative error = 0.0019097980819812831776537464942181 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003093712289153863425925155795
x1[1] (numeric) = 2.0002818558321191328246413658287
absolute error = 2.7515396796253517951149750829069e-05
relative error = 0.0013755570609234853297487223381893 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.425e+04
Order of pole = 1.549e+08
TOP MAIN SOLVE Loop
memory used=1201.6MB, alloc=4.9MB, time=55.06
memory used=1205.4MB, alloc=4.9MB, time=55.24
t[1] = 1.762
x2[1] (analytic) = 1.0068354776981588671846889736943
x2[1] (numeric) = 1.0068548784438014010823883463886
absolute error = 1.9400745642533897699372694246969e-05
relative error = 0.0019269032599931966568614814846635 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003090620123205364303474041575
x1[1] (numeric) = 2.0002813341585814215485285174071
absolute error = 2.7727853739114881818886750341053e-05
relative error = 0.0013861784794006046048869303759321 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.428e+04
Order of pole = 1.551e+08
TOP MAIN SOLVE Loop
memory used=1209.2MB, alloc=4.9MB, time=55.41
t[1] = 1.763
x2[1] (analytic) = 1.0068490077252801492499795915234
x2[1] (numeric) = 1.0068685819241026545606344357764
absolute error = 1.9574198822505310654844253044363e-05
relative error = 0.0019441046941813297360991532895161 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003087531047877245938072749665
x1[1] (numeric) = 2.0002808119631092488249535541259
absolute error = 2.7941141678475768853720840530294e-05
relative error = 0.0013968414443573676892266982139282 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.431e+04
Order of pole = 1.552e+08
TOP MAIN SOLVE Loop
memory used=1213.0MB, alloc=4.9MB, time=55.59
t[1] = 1.764
x2[1] (analytic) = 1.0068625649940648477299503846176
x2[1] (numeric) = 1.0068823136232588139980322930442
absolute error = 1.9748629193966268081908426580608e-05
relative error = 0.0019614026661208404661237466229473 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003084445060080432744179962073
x1[1] (numeric) = 2.0002802892451804191382274616119
absolute error = 2.8155260827624136190534595437976e-05
relative error = 0.0014075459664710509209551902023781 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.433e+04
Order of pole = 1.554e+08
TOP MAIN SOLVE Loop
memory used=1216.9MB, alloc=4.9MB, time=55.76
t[1] = 1.765
x2[1] (analytic) = 1.0068761495588963552938881437686
x2[1] (numeric) = 1.0068960735985489259879841612237
absolute error = 1.9924039652570694096017455067513e-05
relative error = 0.0019787974579891719358492685583659 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.00030813621567289366678168266
x1[1] (numeric) = 2.0002797660042722145159607242844
absolute error = 2.8370211400679150820958375683891e-05
relative error = 0.0014182920564604592150768514523779 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.436e+04
Order of pole = 1.555e+08
TOP MAIN SOLVE Loop
memory used=1220.7MB, alloc=4.9MB, time=55.94
t[1] = 1.766
x2[1] (analytic) = 1.0068897614742670946123806144042
x2[1] (numeric) = 1.0069098619073674951055718069244
absolute error = 2.0100433100400493191192520198900e-05
relative error = 0.0019962893525672419345135796328349 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003078282334739854100578645696
x1[1] (numeric) = 2.0002792422398613940063453094062
absolute error = 2.8585993612591403712555163361307e-05
relative error = 0.0014290797250859368393028119542169 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.439e+04
Order of pole = 1.557e+08
TOP MAIN SOLVE Loop
memory used=1224.5MB, alloc=4.9MB, time=56.11
memory used=1228.3MB, alloc=4.9MB, time=56.29
t[1] = 1.767
x2[1] (analytic) = 1.0069034007947787364812250801602
x2[1] (numeric) = 1.0069236786072247158402366108901
absolute error = 2.0277812445979359011530729957512e-05
relative error = 0.0020138786332406345887793654751083 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003075205591033362796731011142
x1[1] (numeric) = 2.000278717951424193154913671672
absolute error = 2.8802607679143124759429442149797e-05
relative error = 0.0014399089831493782313656728385733 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.442e+04
Order of pole = 1.558e+08
TOP MAIN SOLVE Loop
memory used=1232.1MB, alloc=4.9MB, time=56.46
t[1] = 1.768
x2[1] (analytic) = 1.0069170675751424183821755247566
x2[1] (numeric) = 1.0069375237557467049935752331965
absolute error = 2.0456180604286611399708439862681e-05
relative error = 0.0020315655840007939768952496872652 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000307213192253271879338730167
x1[1] (numeric) = 2.0002781931384363234807742550937
absolute error = 2.9020053816948398564475073272811e-05
relative error = 0.0014507798414942388577707195797868 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.444e+04
Order of pole = 1.560e+08
TOP MAIN SOLVE Loop
memory used=1235.9MB, alloc=4.9MB, time=56.64
t[1] = 1.769
x2[1] (analytic) = 1.00693076187017896348140276945
x2[1] (numeric) = 1.0069513974106757345431828015231
absolute error = 2.0635540496771061780032073155743e-05
relative error = 0.0020493504894462197220398457887477 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003069061326164253333764463679
x1[1] (numeric) = 2.0002776678003729719523229684184
absolute error = 2.9238332243453381053477949565858e-05
relative error = 0.0014616923110055461139946479230167 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.447e+04
Order of pole = 1.562e+08
TOP MAIN SOLVE Loop
memory used=1239.8MB, alloc=4.9MB, time=56.81
t[1] = 1.77
x2[1] (analytic) = 1.006944483734819100066543734031
x2[1] (numeric) = 1.0069652996298704649734774374837
absolute error = 2.0815895051364906933703452682241e-05
relative error = 0.00206723363478366456696830894822 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003065993798857369793513998311
x1[1] (numeric) = 2.0002771419367088004624301097893
absolute error = 2.9457443176936516921290041775995e-05
relative error = 0.0014726464026099102661429293117078 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.450e+04
Order of pole = 1.563e+08
TOP MAIN SOLVE Loop
memory used=1243.6MB, alloc=4.9MB, time=56.99
t[1] = 1.771
x2[1] (analytic) = 1.0069582332241036814232177235413
x2[1] (numeric) = 1.0069792304713061790744418062816
absolute error = 2.0997247202497651224082740365671e-05
relative error = 0.002085215305829333932077676820369 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000306292933754454061012508122
x1[1] (numeric) = 2.0002766155469179453031022158388
absolute error = 2.9677386836508757910292283284796e-05
relative error = 0.0014836421272755354340769835984372 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.452e+04
Order of pole = 1.565e+08
TOP MAIN SOLVE Loop
memory used=1247.4MB, alloc=4.9MB, time=57.17
memory used=1251.2MB, alloc=4.9MB, time=57.35
t[1] = 1.772
x2[1] (analytic) = 1.0069720103931839061518894005971
x2[1] (numeric) = 1.0069931899930750162092192489938
absolute error = 2.1179599891110057329848396643584e-05
relative error = 0.0021032957890100874590039829082781 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003059867939161304215396744437
x1[1] (numeric) = 2.000276088630474016639618309872
absolute error = 2.9898163442113781921364571735872e-05
relative error = 0.0014946794960122306160223678409272 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.455e+04
Order of pole = 1.566e+08
TOP MAIN SOLVE Loop
memory used=1255.0MB, alloc=4.9MB, time=57.52
t[1] = 1.773
x2[1] (analytic) = 1.0069858152973215389259598644425
x2[1] (numeric) = 1.007007178253386207051503934565
absolute error = 2.1362956064668125544070122521234e-05
relative error = 0.0021214753713646425418607853234459 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003056809600646261970976052793
x1[1] (numeric) = 2.0002755611868500979841400232807
absolute error = 3.0119773214528212957581998555206e-05
relative error = 0.001505758519871420754669231015834 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.458e+04
Order of pole = 1.568e+08
TOP MAIN SOLVE Loop
memory used=1258.8MB, alloc=4.9MB, time=57.70
t[1] = 1.774
x2[1] (analytic) = 1.0069996479918891316919690226129
x2[1] (numeric) = 1.0070211953105663087936663501444
absolute error = 2.1547318677177101697327531459196e-05
relative error = 0.0021397543405447798482253784504241 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003053754318941075106959210451
x1[1] (numeric) = 2.000275033215518745668795063795
absolute error = 3.0342216375361841900857250078857e-05
relative error = 0.0015168792099461578447763255258949 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.461e+04
Order of pole = 1.569e+08
TOP MAIN SOLVE Loop
memory used=1262.6MB, alloc=4.9MB, time=57.88
t[1] = 1.775
x2[1] (analytic) = 1.0070135085323702453127942093847
x2[1] (numeric) = 1.0070352412230594408265573337023
absolute error = 2.1732690689195513763124317619261e-05
relative error = 0.0021581329848165508319755446763278 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003050702090990461663552536142
x1[1] (numeric) = 2.0002745047159519883182335036573
absolute error = 3.0565493147057848121749956948834e-05
relative error = 0.0015280415773711320822899074311699 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.463e+04
Order of pole = 1.571e+08
TOP MAIN SOLVE Loop
memory used=1266.5MB, alloc=4.9MB, time=58.05
t[1] = 1.776
x2[1] (analytic) = 1.0070273969743596716547317770168
x2[1] (numeric) = 1.0070493160494275208919357419583
absolute error = 2.1919075067849237203964941517980e-05
relative error = 0.0021766115930614872400762578514657 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003047652913742193435790248764
x1[1] (numeric) = 2.0002739756876213263216563602748
absolute error = 3.0789603752893021922664601604961e-05
relative error = 0.0015392456333226830549888984025002 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.466e+04
Order of pole = 1.573e+08
TOP MAIN SOLVE Loop
memory used=1270.3MB, alloc=4.9MB, time=58.22
memory used=1274.1MB, alloc=4.9MB, time=58.40
t[1] = 1.777
x2[1] (analytic) = 1.0070413133735636561193501611716
x2[1] (numeric) = 1.0070634198483505017084667395159
absolute error = 2.2106474786845589116578344351027e-05
relative error = 0.0021951904547778126154122693397647 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003044606784147092921306008061
x1[1] (numeric) = 2.000273446129997731304315941379
absolute error = 3.1014548416977987814659427089174e-05
relative error = 0.0015504913890188109746677234749521 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.469e+04
Order of pole = 1.574e+08
TOP MAIN SOLVE Loop
memory used=1277.9MB, alloc=4.9MB, time=58.57
t[1] = 1.778
x2[1] (analytic) = 1.0070552577858001206210047008353
x2[1] (numeric) = 1.0070775526786266080722395917639
absolute error = 2.2294892826487451234890928626613e-05
relative error = 0.0022138698600816557977589912296494 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003041563699159030271155158163
x1[1] (numeric) = 2.0002729160425516455984874261923
absolute error = 3.1240327364257428628089623989753e-05
relative error = 0.0015617788557191879508682797709687 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.472e+04
Order of pole = 1.576e+08
TOP MAIN SOLVE Loop
memory used=1281.7MB, alloc=4.9MB, time=58.75
t[1] = 1.779
x2[1] (analytic) = 1.0070692302669988870109062755533
x2[1] (numeric) = 1.0070917145991725744327557445591
absolute error = 2.2484332173687421849469005755867e-05
relative error = 0.0022326500997082664249805393400967 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003038523655734920243684624795
x1[1] (numeric) = 2.0002723854247529817139111535733
absolute error = 3.1466940820510310457308906187386e-05
relative error = 0.0015731080447251693061725324672453 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.474e+04
Order of pole = 1.577e+08
TOP MAIN SOLVE Loop
memory used=1285.5MB, alloc=4.9MB, time=58.92
t[1] = 1.78
x2[1] (analytic) = 1.00708323087320190094863760886
x2[1] (numeric) = 1.0071059056690238829453398779714
absolute error = 2.2674795821981996702269111366873e-05
relative error = 0.0022515314650132324365402109046294 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003035486650834719161447420031
x1[1] (numeric) = 2.000271854276071121807705087583
absolute error = 3.1694389012350108439654420123339e-05
relative error = 0.0015844789673798049330672753960276 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.477e+04
Order of pole = 1.579e+08
TOP MAIN SOLVE Loop
memory used=1289.3MB, alloc=4.9MB, time=59.10
t[1] = 1.781
x2[1] (analytic) = 1.0070972596605634562220128764201
x2[1] (numeric) = 1.0071201259473350020009285294469
absolute error = 2.2866286771545778915653026812191e-05
relative error = 0.0022705142479736995814050480793483 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003032452681421421871158711516
x1[1] (numeric) = 2.000271322595974917153746930385
absolute error = 3.1922672167225033368940766593504e-05
relative error = 0.0015958916350678506923926348006284 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.480e+04
Order of pole = 1.580e+08
TOP MAIN SOLVE Loop
memory used=1293.2MB, alloc=4.9MB, time=59.27
memory used=1297.0MB, alloc=4.9MB, time=59.45
t[1] = 1.782
x2[1] (analytic) = 1.0071113166853504195161780506224
x2[1] (numeric) = 1.0071343754933796252341927936435
absolute error = 2.3058808029205718014743021103512e-05
relative error = 0.0022895987411895929324224785304083 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003029421744461058706690416091
x1[1] (numeric) = 2.0002707903839326876115253518605
absolute error = 3.2151790513418259143689748581191e-05
relative error = 0.0016073460592157798533859359065258 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.483e+04
Order of pole = 1.582e+08
TOP MAIN SOLVE Loop
memory used=1300.8MB, alloc=4.9MB, time=59.62
t[1] = 1.783
x2[1] (analytic) = 1.0071254020039424556328512101766
x2[1] (numeric) = 1.0071486543665509110109535219184
absolute error = 2.3252362608455378102311741808824e-05
relative error = 0.0023087852378848404092433281417258 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003026393836922692455101280838
x1[1] (numeric) = 2.0002702576394122210944598047904
absolute error = 3.2381744280048151050323293377390e-05
relative error = 0.0016188422512917945753325931234677 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.485e+04
Order of pole = 1.584e+08
TOP MAIN SOLVE Loop
memory used=1304.6MB, alloc=4.9MB, time=59.80
t[1] = 1.784
x2[1] (analytic) = 1.0071395156728322531606038436739
x2[1] (numeric) = 1.0071629626263617223958493640106
absolute error = 2.3446953529469235245520336765309e-05
relative error = 0.002328074031908598311861768174598 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003023368955778415325699417561
x1[1] (numeric) = 2.0002697243618807730376883939239
absolute error = 3.2612533697068494881547832200447e-05
relative error = 0.001630380222805837430835725860613 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.488e+04
Order of pole = 1.585e+08
TOP MAIN SOLVE Loop
memory used=1308.4MB, alloc=4.9MB, time=59.97
t[1] = 1.785
x2[1] (analytic) = 1.0071536577486257505970859800834
x2[1] (numeric) = 1.0071773003324448676012199178647
absolute error = 2.3642583819117004133937781274323e-05
relative error = 0.00234746541773647886683898983621 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003020347098003345922134259765
x1[1] (numeric) = 2.0002691905508050658653232667208
absolute error = 3.2844158995268726890159255718612e-05
relative error = 0.0016419599853096029707162431159248 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.491e+04
Order of pole = 1.587e+08
TOP MAIN SOLVE Loop
memory used=1312.2MB, alloc=4.9MB, time=60.15
t[1] = 1.786
x2[1] (analytic) = 1.0071678282880423629240997867833
x2[1] (numeric) = 1.0071916675445533409181681808015
absolute error = 2.3839256510977994068394018233294e-05
relative error = 0.002366959690471779788273593001902 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003017328260575626217514914235
x1[1] (numeric) = 2.0002686562056512884571729930242
absolute error = 3.3076620406274164578498399299593e-05
relative error = 0.0016535815503965493305551811928335 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.493e+04
Order of pole = 1.588e+08
TOP MAIN SOLVE Loop
memory used=1316.0MB, alloc=4.9MB, time=60.32
memory used=1319.9MB, alloc=4.9MB, time=60.50
t[1] = 1.787
x2[1] (analytic) = 1.0071820273479152086364280869657
x2[1] (numeric) = 1.0072060643225605641307684263576
absolute error = 2.4036974645355494340339391904352e-05
relative error = 0.0023865571458467158555778326142226 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003014312440476418532551882324
x1[1] (numeric) = 2.0002681213258850956149314003849
absolute error = 3.3309918162546238323787847461827e-05
relative error = 0.0016652449297019098788901201016534 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.496e+04
Order of pole = 1.590e+08
TOP MAIN SOLVE Loop
memory used=1323.7MB, alloc=4.9MB, time=60.67
t[1] = 1.788
x2[1] (analytic) = 1.0071962549851913372253260631268
x2[1] (numeric) = 1.007220490726460628414387566097
absolute error = 2.4235741269291189061502970202986e-05
relative error = 0.0024062580802236525101149858771725 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003011299634689902516719129089
x1[1] (numeric) = 2.000267585910971607527832331226
absolute error = 3.3544052497382723839581682883578e-05
relative error = 0.0016769501349027049070775454203945 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.499e+04
Order of pole = 1.592e+08
TOP MAIN SOLVE Loop
memory used=1327.5MB, alloc=4.9MB, time=60.85
t[1] = 1.789
x2[1] (analytic) = 1.0072105112569319571175862318526
x2[1] (numeric) = 1.0072349468163685367190899945586
absolute error = 2.4435559436579601503762705994996e-05
relative error = 0.00242606279059634147274918560305 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003008289840203272132433481453
x1[1] (numeric) = 2.0002670499603754092377697875039
absolute error = 3.3779023644917975473560641438969e-05
relative error = 0.001688697177717753360833063619511 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.502e+04
Order of pole = 1.593e+08
TOP MAIN SOLVE Loop
memory used=1331.3MB, alloc=4.9MB, time=61.02
t[1] = 1.79
x2[1] (analytic) = 1.0072247962203126640710885972565
x2[1] (numeric) = 1.0072494326525204466390978582419
absolute error = 2.4636432207782568009260985400541e-05
relative error = 0.0024459715745911583843551097776826 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003005283054006732642248339551
x1[1] (numeric) = 2.0002665134735605501038829279841
absolute error = 3.4014831840123160341905971075572e-05
relative error = 0.0017004860699076846134614200978054 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.504e+04
Order of pole = 1.595e+08
TOP MAIN SOLVE Loop
memory used=1335.1MB, alloc=4.9MB, time=61.20
t[1] = 1.791
x2[1] (analytic) = 1.0072391099326236700277497162133
x2[1] (numeric) = 1.0072639482952739137692806361643
absolute error = 2.4838362650243741530919951004952e-05
relative error = 0.0024659847304683424713309244127144 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0003002279273093497599058688468
x1[1] (numeric) = 2.0002659764499905432666053827178
absolute error = 3.4251477318806493300486128926900e-05
relative error = 0.0017123168232749502807883104321985 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.507e+04
Order of pole = 1.596e+08
TOP MAIN SOLVE Loop
memory used=1338.9MB, alloc=4.9MB, time=61.37
t[1] = 1.792
x2[1] (analytic) = 1.0072534524512700324247862379819
x2[1] (numeric) = 1.0072784938051081355496498700525
memory used=1342.8MB, alloc=4.9MB, time=61.55
absolute error = 2.5041353838103124863632070653335e-05
relative error = 0.0024861025571232382381538458755073 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002999278494459785839314400565
x1[1] (numeric) = 2.0002654388891283651111783487687
absolute error = 3.4488960317613472753091287866087e-05
relative error = 0.0017241894496638360778060166124241 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.510e+04
Order of pole = 1.598e+08
TOP MAIN SOLVE Loop
memory used=1346.6MB, alloc=4.9MB, time=61.72
t[1] = 1.793
x2[1] (analytic) = 1.0072678238337718839652103139145
x2[1] (numeric) = 1.0072930692426241955988368366632
absolute error = 2.5245408852311633626522748646490e-05
relative error = 0.0025063253540875391890136199519977 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002996280715104818479238821622
x1[1] (numeric) = 2.0002649007904364547306269307015
absolute error = 3.4727281074027117296951460754921e-05
relative error = 0.0017361039609604737170449413129539 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.513e+04
Order of pole = 1.599e+08
TOP MAIN SOLVE Loop
memory used=1350.4MB, alloc=4.9MB, time=61.90
t[1] = 1.794
x2[1] (analytic) = 1.0072822241377646628484761097315
x2[1] (numeric) = 1.0073076746685453085375329130776
absolute error = 2.5450530780645689056803346147349e-05
relative error = 0.0025266534215305335805551077287651 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002993285932030815914049636988
x1[1] (numeric) = 2.0002643621533767133881991888109
absolute error = 3.4966439826368203205774887926067e-05
relative error = 0.0017480603690928528486831545486384 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.516e+04
Order of pole = 1.601e+08
TOP MAIN SOLVE Loop
memory used=1354.2MB, alloc=4.9MB, time=62.07
t[1] = 1.795
x2[1] (analytic) = 1.0072966534209993434621984932912
x2[1] (numeric) = 1.0073223101437170653028743480831
absolute error = 2.5656722717721840675854791938763e-05
relative error = 0.0025470870602603522077570228002417 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002990294142242994820179016988
x1[1] (numeric) = 2.0002638229774105039792673575279
absolute error = 3.5206436813795502750544170956658e-05
relative error = 0.0017600586860308330424061083677013 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.518e+04
Order of pole = 1.603e+08
TOP MAIN SOLVE Loop
memory used=1358.0MB, alloc=4.9MB, time=62.25
t[1] = 1.796
x2[1] (analytic) = 1.0073111117413426675358668149293
x2[1] (numeric) = 1.0073369757291076789547551189532
absolute error = 2.5863987765011418888304023834907e-05
relative error = 0.0025676265717252182249696801373974 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000298730534274956516049004379
x1[1] (numeric) = 2.0002632832619986504926906959055
absolute error = 3.5447272276306023358308473549248e-05
relative error = 0.0017720989237861558110287165559003 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.521e+04
Order of pole = 1.604e+08
TOP MAIN SOLVE Loop
memory used=1361.8MB, alloc=4.9MB, time=62.42
t[1] = 1.797
x2[1] (analytic) = 1.0073255991567773757574785452677
x2[1] (numeric) = 1.0073516714858082309750535230733
absolute error = 2.6072329030855217574977805530571e-05
relative error = 0.002588272258014699004130394016738 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002984319530561727192486424949
x1[1] (numeric) = 2.0002627430066014374716394315466
absolute error = 3.5688946454735247609210948332265e-05
relative error = 0.0017841810944124566758920376588866 %
Correct digits = 4
h = 0.001
memory used=1365.6MB, alloc=4.9MB, time=62.60
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.524e+04
Order of pole = 1.606e+08
TOP MAIN SOLVE Loop
memory used=1369.5MB, alloc=4.9MB, time=62.77
t[1] = 1.798
x2[1] (analytic) = 1.0073401157254024398540193869271
x2[1] (numeric) = 1.0073663974750329180607601279411
absolute error = 2.6281749630478206740741013967022e-05
relative error = 0.0026090244218609600321709005237504 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002981336702693668479512501849
x1[1] (numeric) = 2.0002622022106786094738792587983
absolute error = 3.5931459590757374071991386627380e-05
relative error = 0.001796305210005277274046840976115 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.527e+04
Order of pole = 1.608e+08
TOP MAIN SOLVE Loop
memory used=1373.3MB, alloc=4.9MB, time=62.95
t[1] = 1.799
x2[1] (analytic) = 1.007354661505433295136718331813
x2[1] (numeric) = 1.0073811537581192994119966811019
absolute error = 2.6492252686004275278349288892715e-05
relative error = 0.0026298833666400208496268791331141 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002978356856162560904940564225
x1[1] (numeric) = 2.0002616608736893705315158514958
absolute error = 3.6174811926885558978204926706514e-05
relative error = 0.0018084712827020775072363765391082 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.529e+04
Order of pole = 1.609e+08
TOP MAIN SOLVE Loop
memory used=1377.1MB, alloc=4.9MB, time=63.12
t[1] = 1.8
x2[1] (analytic) = 1.007369236555202073512007994596
x2[1] (numeric) = 1.0073959403965285445159175635757
absolute error = 2.6703841326471003909568979695609e-05
relative error = 0.0026508493963730130324553075484954 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002975379987988557689342484968
x1[1] (numeric) = 2.000261118995092383610198850002
absolute error = 3.6419003706472158735398494777341e-05
relative error = 0.0018206793246822477326907114595013 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.532e+04
Order of pole = 1.611e+08
TOP MAIN SOLVE Loop
memory used=1380.9MB, alloc=4.9MB, time=63.30
t[1] = 1.801
x2[1] (analytic) = 1.0073838409331578369591224156802
x2[1] (numeric) = 1.0074107574518456814274873562955
absolute error = 2.6916518687844468364940615276060e-05
relative error = 0.0026719228157274402190610041763584 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002972406095194790410642692378
x1[1] (numeric) = 2.0002605765743457700677847817459
absolute error = 3.6664035173708973279487491893918e-05
relative error = 0.0018329293481671209957450364181317 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.535e+04
Order of pole = 1.612e+08
TOP MAIN SOLVE Loop
memory used=1384.7MB, alloc=4.9MB, time=63.47
t[1] = 1.802
x2[1] (analytic) = 1.0073984746978668114752663933544
x2[1] (numeric) = 1.0074256049857798455481300790156
absolute error = 2.7130287913034072863685661210851e-05
relative error = 0.0026931039300184401845292931291108 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002969435174807366027249500013
x1[1] (numeric) = 2.0002600336109071091124583739221
absolute error = 3.6909906573627490266576079189432e-05
relative error = 0.0018452213654199853042943874655282 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.538e+04
Order of pole = 1.614e+08
memory used=1388.5MB, alloc=4.9MB, time=63.65
TOP MAIN SOLVE Loop
memory used=1392.3MB, alloc=4.9MB, time=63.82
t[1] = 1.803
x2[1] (analytic) = 1.0074131379080126214892922749583
x2[1] (numeric) = 1.0074404830601645289032476550736
absolute error = 2.7345152151907413955380115226724e-05
relative error = 0.0027143930452100489640572673205655 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002966467223855363904161817277
x1[1] (numeric) = 2.0002594901042334372603117164744
absolute error = 3.7156618152099130104465253271676e-05
relative error = 0.0018575553887460959450972697165334 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.540e+04
Order of pole = 1.616e+08
TOP MAIN SOLVE Loop
memory used=1396.2MB, alloc=4.9MB, time=64.00
t[1] = 1.804
x2[1] (analytic) = 1.0074278306223965247448220107796
x2[1] (numeric) = 1.0074553917369578299196071533071
absolute error = 2.7561114561305174785142527553426e-05
relative error = 0.0027357904679164670275716258480136 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002963502239370832842048266836
x1[1] (numeric) = 2.0002589460537812477923807329403
absolute error = 3.7404170155835491824093743309761e-05
relative error = 0.0018699314304926878419407109475098 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.543e+04
Order of pole = 1.617e+08
TOP MAIN SOLVE Loop
memory used=1400.0MB, alloc=4.9MB, time=64.17
t[1] = 1.805
x2[1] (analytic) = 1.0074425528999376476537541520277
x2[1] (numeric) = 1.0074703310782427037035983603453
absolute error = 2.7778178305056049844208317560623e-05
relative error = 0.002757296505403327507516522266372 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002960540218388788109295737964
x1[1] (numeric) = 2.0002584014590064902111384161951
absolute error = 3.7652562832388599791157601273457e-05
relative error = 0.0018823495030489879556793145436634 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.546e+04
Order of pole = 1.619e+08
TOP MAIN SOLVE Loop
memory used=1403.8MB, alloc=4.9MB, time=64.35
t[1] = 1.806
x2[1] (analytic) = 1.0074573047996732211210973556252
x2[1] (numeric) = 1.0074853011462272128213652424179
absolute error = 2.7996346553991700267886792699670e-05
relative error = 0.0027789114655889664817902803664752 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002957581157947208477024407842
x1[1] (numeric) = 2.0002578563193645696964442855873
absolute error = 3.7901796430151151258155196965286e-05
relative error = 0.0018948096188462277261609226965147 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.549e+04
Order of pole = 1.620e+08
TOP MAIN SOLVE Loop
memory used=1407.6MB, alloc=4.9MB, time=64.52
t[1] = 1.807
x2[1] (analytic) = 1.0074720863807588168420738437135
x2[1] (numeric) = 1.0075003020032447785818168657741
absolute error = 2.8215622485961739743022060670988e-05
relative error = 0.0028006356570456953138052134865285 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000295462505508703325706626585
x1[1] (numeric) = 2.000257310634310346560949521415
absolute error = 3.8151871198356764757105169911029e-05
relative error = 0.0019073117903576555560515422174964 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.551e+04
Order of pole = 1.622e+08
memory used=1411.4MB, alloc=4.9MB, time=64.70
TOP MAIN SOLVE Loop
memory used=1415.2MB, alloc=4.9MB, time=64.87
t[1] = 1.808
x2[1] (analytic) = 1.007486897702468584072438154703
x2[1] (numeric) = 1.0075153337117544328235253587644
absolute error = 2.8436009285848751087204061422409e-05
relative error = 0.0028224693890010750516401220273067 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002951671906852159342904178801
x1[1] (numeric) = 2.0002567644032981357049572321493
absolute error = 3.8402787387080229333185730847264e-05
relative error = 0.0019198560300985493365722268130959 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.554e+04
Order of pole = 1.624e+08
TOP MAIN SOLVE Loop
memory used=1419.0MB, alloc=4.9MB, time=65.05
t[1] = 1.809
x2[1] (analytic) = 1.0075017388241954868729584154128
x2[1] (numeric) = 1.0075303963343410702065205166453
absolute error = 2.8657510145583333562101232555940e-05
relative error = 0.0028444129713391928882503415214703 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002948721710289438253568538092
x1[1] (numeric) = 2.0002562176257817060707373092627
absolute error = 3.8654545247237754619544546466024e-05
relative error = 0.0019324423506262290151606511599271 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.557e+04
Order of pole = 1.625e+08
TOP MAIN SOLVE Loop
memory used=1422.9MB, alloc=4.9MB, time=65.22
t[1] = 1.81
x2[1] (analytic) = 1.0075166098054515418290092603443
x2[1] (numeric) = 1.0075454899337157010099926722048
absolute error = 2.8880128264159180983411860483926e-05
relative error = 0.0028664667146019406846954701383393 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002945774462448673180488532632
x1[1] (numeric) = 2.000255670301214280096295323981
absolute error = 3.8907145030587221753529282247301e-05
relative error = 0.0019450707645400692050701536246604 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.560e+04
Order of pole = 1.627e+08
TOP MAIN SOLVE Loop
memory used=1426.7MB, alloc=4.9MB, time=65.40
t[1] = 1.811
x2[1] (analytic) = 1.0075315107058680562462274244371
x2[1] (numeric) = 1.0075606145727157044369174813978
absolute error = 2.9103866847648190690056960735077e-05
relative error = 0.0028886309299902955583401196999148 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002942830160382616037295094424
x1[1] (numeric) = 2.0002551224290485331685949197227
absolute error = 3.9160586989728435134589719630837e-05
relative error = 0.0019577412844815118369190659938878 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.563e+04
Order of pole = 1.629e+08
TOP MAIN SOLVE Loop
memory used=1430.5MB, alloc=4.9MB, time=65.57
t[1] = 1.812
x2[1] (analytic) = 1.0075464415851958668231829397556
x2[1] (numeric) = 1.0075757703143050824266183033303
absolute error = 2.9328729109215603435363574672215e-05
relative error = 0.0029109059293656025379782079535034 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000293988880114696451257256659
x1[1] (numeric) = 2.0002545740087365930762331534535
absolute error = 3.9414871378103375024103205450304e-05
relative error = 0.0019704539231340788522031901128011 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.565e+04
Order of pole = 1.630e+08
memory used=1434.3MB, alloc=4.9MB, time=65.75
TOP MAIN SOLVE Loop
memory used=1438.1MB, alloc=4.9MB, time=65.92
t[1] = 1.813
x2[1] (analytic) = 1.0075614025033055788020207744727
x2[1] (numeric) = 1.0075909572215747139762838881397
absolute error = 2.9554718269135174263113667053612e-05
relative error = 0.0029332920252508592878264418019646 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.00029369503818003591255561466
x1[1] (numeric) = 2.0002540250397300394615682386266
absolute error = 3.9669998449996450987376033476382e-05
relative error = 0.0019832086932233849387843228790527 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.568e+04
Order of pole = 1.632e+08
TOP MAIN SOLVE Loop
memory used=1441.9MB, alloc=4.9MB, time=66.10
t[1] = 1.814
x2[1] (analytic) = 1.00757639352018780559802966425
x2[1] (numeric) = 1.0076061753577426099724611246098
absolute error = 2.9781837554804374431460359856175e-05
relative error = 0.0029557895308320029023277312446768 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002934014899404380284772160393
x1[1] (numeric) = 2.0002534755214799032722991418392
absolute error = 3.9925968460534756178074200091220e-05
relative error = 0.0019960056075171503083677725993896 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.571e+04
Order of pole = 1.633e+08
TOP MAIN SOLVE Loop
memory used=1445.7MB, alloc=4.9MB, time=66.28
t[1] = 1.815
x2[1] (analytic) = 1.0075914146959534089090968016793
x2[1] (numeric) = 1.0076214247861541685335446417224
absolute error = 3.0010090200759624447840043090422e-05
relative error = 0.0029783987599591987737003217404665 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000293108235102354534961822603
x1[1] (numeric) = 2.0002529254534366662124964847845
absolute error = 4.0182781665688322465337818546236e-05
relative error = 0.0020088446788252135159818512916422 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.574e+04
Order of pole = 1.635e+08
TOP MAIN SOLVE Loop
memory used=1449.6MB, alloc=4.9MB, time=66.45
t[1] = 1.816
x2[1] (analytic) = 1.0076064660908337393060089688433
x2[1] (numeric) = 1.0076367055702824308642871048068
absolute error = 3.0239479448691558278135963483909e-05
relative error = 0.0030011200271481315341634383769392 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002928152733725305694880368477
x1[1] (numeric) = 2.0002523748350502601930842025288
absolute error = 4.0440438322270376403834318938933e-05
relative error = 0.0020217259199995443214723691034508 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.577e+04
Order of pole = 1.637e+08
TOP MAIN SOLVE Loop
memory used=1453.4MB, alloc=4.9MB, time=66.63
t[1] = 1.817
x2[1] (analytic) = 1.0076215477651808773045626212966
x2[1] (numeric) = 1.007652017773728337623356097504
absolute error = 3.0470008547460318793476207402419e-05
relative error = 0.0030239536475812980747651984272306 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002925226044580043778184150004
x1[1] (numeric) = 2.0002518236657700667817714085965
absolute error = 4.0698938687937596047006403983254e-05
relative error = 0.0020346493439342565930251986217617 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.579e+04
Order of pole = 1.638e+08
TOP MAIN SOLVE Loop
memory used=1457.2MB, alloc=4.9MB, time=66.80
memory used=1461.0MB, alloc=4.9MB, time=66.98
t[1] = 1.818
x2[1] (analytic) = 1.0076366597794678749204473588551
x2[1] (numeric) = 1.0076673614602209858049655354208
absolute error = 3.0701680753110884518176565728706e-05
relative error = 0.0030468999371093026427334694027925 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002922302280661070210376883681
x1[1] (numeric) = 2.0002512719450449166524339167942
absolute error = 4.0958283021190368603771573842839e-05
relative error = 0.0020476149635656212527300184636702 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.582e+04
Order of pole = 1.640e+08
TOP MAIN SOLVE Loop
memory used=1464.8MB, alloc=4.9MB, time=67.16
t[1] = 1.819
x2[1] (analytic) = 1.0076518021942889977078691495317
x2[1] (numeric) = 1.0076827366936178861356116161279
absolute error = 3.0934499328888427742466596139748e-05
relative error = 0.0030699592122521540192652273764388 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000291938143904462082883800033
x1[1] (numeric) = 2.0002507196723230890339448691562
absolute error = 4.1218471581373048938930876748176e-05
relative error = 0.0020606227918720792641983871696517 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.585e+04
Order of pole = 1.642e+08
TOP MAIN SOLVE Loop
memory used=1468.6MB, alloc=4.9MB, time=67.33
t[1] = 1.82
x2[1] (analytic) = 1.0076669750703599672828816077678
x2[1] (numeric) = 1.0076981435379052209869453730507
absolute error = 3.1168467545253704063765282829334e-05
relative error = 0.0030931317902005647796648049597984 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002916463516809853773714642261
x1[1] (numeric) = 2.0002501668470523111584539188403
absolute error = 4.1479504628674218917545385827942e-05
relative error = 0.0020736728418742546622493400646685 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.588e+04
Order of pole = 1.643e+08
TOP MAIN SOLVE Loop
memory used=1472.5MB, alloc=4.9MB, time=67.51
t[1] = 1.821
x2[1] (analytic) = 1.0076821784685182043323955667975
x2[1] (numeric) = 1.0077135820571981028058159678333
absolute error = 3.1403588679898473420401035728202e-05
relative error = 0.0031164179888172526377362096792019 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002913548511038846567079560016
x1[1] (numeric) = 2.0002496134686797577091144162551
absolute error = 4.1741382424126947593539746552622e-05
relative error = 0.0020867651266349676246757434110863 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.590e+04
Order of pole = 1.645e+08
TOP MAIN SOLVE Loop
memory used=1476.3MB, alloc=4.9MB, time=67.68
t[1] = 1.822
x2[1] (analytic) = 1.0076974124497230721098391275491
x2[1] (numeric) = 1.0077290523157408330625209269203
absolute error = 3.1639866017760952681799371195060e-05
relative error = 0.0031398181266382438763294414088118 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002910636418816593195008391279
x1[1] (numeric) = 2.0002490595366520502672580461445
absolute error = 4.2004105229609052242792983415634e-05
relative error = 0.0020998996592592475861046818498359 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.593e+04
Order of pole = 1.647e+08
TOP MAIN SOLVE Loop
memory used=1480.1MB, alloc=4.9MB, time=67.86
memory used=1483.9MB, alloc=4.9MB, time=68.03
t[1] = 1.823
x2[1] (analytic) = 1.0077126770750561204184423129447
x2[1] (numeric) = 1.0077445543779071617183016034192
absolute error = 3.1877302851041299859290474505474e-05
relative error = 0.0031633325228741788659354417937919 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002907727237231001192573404034
x1[1] (numeric) = 2.0002485050504152567590163628044
absolute error = 4.2267673307843360240977598964519e-05
relative error = 0.0021130764528943463939651968128444 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.596e+04
Order of pole = 1.648e+08
TOP MAIN SOLVE Loop
memory used=1487.7MB, alloc=4.9MB, time=68.21
t[1] = 1.824
x2[1] (analytic) = 1.0077279724057213300831224068129
x2[1] (numeric) = 1.0077600883082005472131242247747
absolute error = 3.2115902479217130001817961770038e-05
relative error = 0.0031869614974116196732189690330898 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002904820963372888731750788965
x1[1] (numeric) = 2.0002479500094148909013886700535
absolute error = 4.2532086922397971786408843043122e-05
relative error = 0.0021262955207297515065767352904818 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.599e+04
Order of pole = 1.650e+08
TOP MAIN SOLVE Loop
memory used=1491.5MB, alloc=4.9MB, time=68.38
t[1] = 1.825
x2[1] (analytic) = 1.0077432985030453579119480108855
x2[1] (numeric) = 1.0077756541712544169747889704212
absolute error = 3.2355668209059062840959535687433e-05
relative error = 0.0032107053708143597613733077939093 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002901917594335981712238589003
x1[1] (numeric) = 2.0002473944130959116477556920252
absolute error = 4.2797346337686523468166875115927e-05
relative error = 0.0021395568759971992333717100526568 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.602e+04
Order of pole = 1.652e+08
TOP MAIN SOLVE Loop
memory used=1495.3MB, alloc=4.9MB, time=68.56
t[1] = 1.826
x2[1] (analytic) = 1.0077586554284777821481618115211
x2[1] (numeric) = 1.0077912520318324284504116113874
absolute error = 3.2596603354646302249799866302180e-05
relative error = 0.0032345644643247357841752962004204 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002899017127216910855182356826
x1[1] (numeric) = 2.0002468382609027226328384802948
absolute error = 4.3063451818968452679755387818661e-05
relative error = 0.0021528605319706880172656141512971 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.604e+04
Order of pole = 1.653e+08
TOP MAIN SOLVE Loop
memory used=1499.2MB, alloc=4.9MB, time=68.74
t[1] = 1.827
x2[1] (analytic) = 1.0077740432435913484137440098873
x2[1] (numeric) = 1.0078068819548287306613243358126
absolute error = 3.2838711237382247580325925212158e-05
relative error = 0.0032585390998649414756136795792399 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002896119559115208799805634067
x1[1] (numeric) = 2.0002462815522791716171020023013
absolute error = 4.3330403632349262878561105415842e-05
relative error = 0.0021662065019664917591881742752977 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.607e+04
Order of pole = 1.655e+08
TOP MAIN SOLVE Loop
memory used=1503.0MB, alloc=4.9MB, time=68.91
memory used=1506.8MB, alloc=4.9MB, time=69.09
t[1] = 1.828
x2[1] (analytic) = 1.0077894620100822161455003353519
x2[1] (numeric) = 1.0078225440052682262824444805119
absolute error = 3.3081995186010136944145159979681e-05
relative error = 0.0032826296000383436369582837546046 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002893224887133307202942348824
x1[1] (numeric) = 2.0002457242866685499306028554657
absolute error = 4.3598202044780789691379416646868e-05
relative error = 0.0021795947993431731847890692866656 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.610e+04
Order of pole = 1.656e+08
TOP MAIN SOLVE Loop
memory used=1510.6MB, alloc=4.9MB, time=69.26
t[1] = 1.829
x2[1] (analytic) = 1.007804911789770205524660531787
x2[1] (numeric) = 1.0078382382483068342471619891024
absolute error = 3.3326458536628722501457315365240e-05
relative error = 0.0033068362881308002231319389671279 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002890333108376533841468231034
x1[1] (numeric) = 2.0002451664635135919162805508559
absolute error = 4.3866847324061467866272247508441e-05
relative error = 0.002193025437501597253331782038554 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.613e+04
Order of pole = 1.658e+08
TOP MAIN SOLVE Loop
memory used=1514.4MB, alloc=4.9MB, time=69.44
t[1] = 1.83
x2[1] (analytic) = 1.0078203926445990449009751803877
x2[1] (numeric) = 1.0078539647492317528787985217776
absolute error = 3.3572104632707977823341389949312e-05
relative error = 0.0033311594881119805302414787410742 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002887444219953109717628348128
x1[1] (numeric) = 2.0002446080822564743726918096869
absolute error = 4.4136339738836599071025125853475e-05
relative error = 0.0022064984298849446087891943622284 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.616e+04
Order of pole = 1.660e+08
TOP MAIN SOLVE Loop
memory used=1518.2MB, alloc=4.9MB, time=69.61
t[1] = 1.831
x2[1] (analytic) = 1.0078359046366366187123007004565
x2[1] (numeric) = 1.0078697235734617235496932506178
absolute error = 3.3818936825104837392550161260332e-05
relative error = 0.0033555995246366874861184860450233 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002884558218974146167257866287
x1[1] (numeric) = 2.0002440491423388159961873153924
absolute error = 4.4406679558598620538471236285837e-05
relative error = 0.0022200137899787250731545769107535 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.618e+04
Order of pole = 1.661e+08
TOP MAIN SOLVE Loop
memory used=1522.0MB, alloc=4.9MB, time=69.79
t[1] = 1.832
x2[1] (analytic) = 1.0078514478280752159006643514128
x2[1] (numeric) = 1.007885514786547294868972487333
absolute error = 3.4066958472078968308135920212333e-05
relative error = 0.0033801567230461820457147616777326 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002881675102553641970893145545
x1[1] (numeric) = 2.0002434896432016768225303634438
absolute error = 4.4677867053687374558951110697382e-05
relative error = 0.0022335715313107911819816673623974 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.621e+04
Order of pole = 1.663e+08
TOP MAIN SOLVE Loop
memory used=1525.9MB, alloc=4.9MB, time=69.97
memory used=1529.7MB, alloc=4.9MB, time=70.14
t[1] = 1.833
x2[1] (analytic) = 1.0078670222812317788258030450627
x2[1] (numeric) = 1.0079013384541710874000624075897
absolute error = 3.4316172939308574259362527001490e-05
relative error = 0.003404831409369509693191746762364 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000287879486780848046777027982
x1[1] (numeric) = 2.000242929584285557667956850535
absolute error = 4.4949902495290378820177446929431e-05
relative error = 0.0022471716674513517621675723164446 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.624e+04
Order of pole = 1.665e+08
TOP MAIN SOLVE Loop
memory used=1533.5MB, alloc=4.9MB, time=70.32
t[1] = 1.834
x2[1] (analytic) = 1.0078826280585481526771717669179
x2[1] (numeric) = 1.007917194642148058909006257554
absolute error = 3.4566583599906231834490636145309e-05
relative error = 0.0034296239103248290525373423447582 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000287591751185842667270819589
x1[1] (numeric) = 2.0002423689650303995696760441936
absolute error = 4.5222786155443097594775395446027e-05
relative error = 0.0022608142120129855519922700583343 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.627e+04
Order of pole = 1.666e+08
TOP MAIN SOLVE Loop
memory used=1537.3MB, alloc=4.9MB, time=70.49
t[1] = 1.835
x2[1] (analytic) = 1.0078982652225913353854193990837
x2[1] (numeric) = 1.0079330834164257701446495540223
absolute error = 3.4818193834434759230154938601156e-05
relative error = 0.0034545345533207426085377341611307 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002873043031826124395873428198
x1[1] (numeric) = 2.0002418077848755832258115733182
absolute error = 4.5496518307029213775769501581863e-05
relative error = 0.0022744991786506548634285332298408 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.630e+04
Order of pole = 1.668e+08
TOP MAIN SOLVE Loop
memory used=1541.1MB, alloc=4.9MB, time=70.66
t[1] = 1.836
x2[1] (analytic) = 1.0079139338360537280343317349669
x2[1] (numeric) = 1.0079490048430846511517589195013
absolute error = 3.5071007030923117427184534402775e-05
relative error = 0.0034795636664576295399259494627725 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002870171424837093365423689232
x1[1] (numeric) = 2.0002412460432599284347820795843
absolute error = 4.5771099223780901760289338874495e-05
relative error = 0.0022882265810617192867361323134234 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.633e+04
Order of pole = 1.670e+08
TOP MAIN SOLVE Loop
memory used=1544.9MB, alloc=4.9MB, time=70.84
t[1] = 1.837
x2[1] (analytic) = 1.0079296339617533857742434777745
x2[1] (numeric) = 1.007964958988338268118142327855
absolute error = 3.5325026584882343898850080536299e-05
relative error = 0.0035047115785289806665229451546893 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002867302688019726353027358145
x1[1] (numeric) = 2.0002406837396216935341209690973
absolute error = 4.6046529180279101181766717209209e-05
relative error = 0.0023019964329859494373542227279369 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.635e+04
Order of pole = 1.671e+08
TOP MAIN SOLVE Loop
memory used=1548.7MB, alloc=4.9MB, time=71.01
memory used=1552.6MB, alloc=4.9MB, time=71.19
t[1] = 1.838
x2[1] (analytic) = 1.0079453656626342692379230205129
x2[1] (numeric) = 1.0079809459185335907568406746693
absolute error = 3.5580255899321518917654156373583e-05
relative error = 0.0035299786190227355121810522155435 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002864436818505286302256013126
x1[1] (numeric) = 2.0002401208733985748387347031146
absolute error = 4.6322808451953791490898197996560e-05
relative error = 0.0023158087482055407451058602356469 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.638e+04
Order of pole = 1.673e+08
TOP MAIN SOLVE Loop
memory used=1556.4MB, alloc=4.9MB, time=71.36
t[1] = 1.839
x2[1] (analytic) = 1.0079611290017664964599358149402
x2[1] (numeric) = 1.0079969657001512602244627292936
absolute error = 3.5836698384763764526914353424564e-05
relative error = 0.003555365118122621485333580210988 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002861573813427903459847135906
x1[1] (numeric) = 2.0002395574440277060785990660933
absolute error = 4.6599937315084267385647497367990e-05
relative error = 0.0023296635405451272857286312779877 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.641e+04
Order of pole = 1.675e+08
TOP MAIN SOLVE Loop
memory used=1560.2MB, alloc=4.9MB, time=71.54
t[1] = 1.84
x2[1] (analytic) = 1.0079769240423465953004941506983
x2[1] (numeric) = 1.0080130183998058575767376726263
absolute error = 3.6094357459262276243521927996526e-05
relative error = 0.003580871406709495178948317484038 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002858713669924572509834119675
x1[1] (numeric) = 2.0002389934509456578358928487601
absolute error = 4.6877916046799415090563207414868e-05
relative error = 0.0023435608238717956547454267897597 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.644e+04
Order of pole = 1.676e+08
TOP MAIN SOLVE Loop
memory used=1564.0MB, alloc=4.9MB, time=71.72
t[1] = 1.841
x2[1] (analytic) = 1.0079927508476977563748031836555
x2[1] (numeric) = 1.0080291040842461727623615761106
absolute error = 3.6353236548416387558392455092737e-05
relative error = 0.003606497816362685791676547096313 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000285585638513514971054071453
x1[1] (numeric) = 2.0002384288935884369815683833382
absolute error = 4.7156744925077989485688114811703e-05
relative error = 0.0023575006120950988836894299885385 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.647e+04
Order of pole = 1.678e+08
TOP MAIN SOLVE Loop
memory used=1567.8MB, alloc=4.9MB, time=71.89
t[1] = 1.842
x2[1] (analytic) = 1.0080086094812700864889150743283
x2[1] (numeric) = 1.0080452228203554741562163331184
absolute error = 3.6613339085387667301258790082953e-05
relative error = 0.0036322446793613406719830355939212 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002853001956202350034437047457
x1[1] (numeric) = 2.0002378637713914861113583674999
absolute error = 4.7436424228748892085337245755945e-05
relative error = 0.0023714829191670703986974305980036 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.649e+04
Order of pole = 1.680e+08
TOP MAIN SOLVE Loop
memory used=1571.6MB, alloc=4.9MB, time=72.07
memory used=1575.5MB, alloc=4.9MB, time=72.24
t[1] = 1.843
x2[1] (analytic) = 1.0080245000066408625831051231481
x2[1] (numeric) = 1.0080613746751517786330417139299
absolute error = 3.6874668510916049936590781871900e-05
relative error = 0.0036581123286857729870362409718336 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002850150380271744310854356689
x1[1] (numeric) = 2.0002372980837896829812184130528
absolute error = 4.7716954237491449867022616025577e-05
relative error = 0.0023855077590822380214856199407112 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.652e+04
Order of pole = 1.682e+08
TOP MAIN SOLVE Loop
memory used=1579.3MB, alloc=4.9MB, time=72.42
t[1] = 1.844
x2[1] (analytic) = 1.008040422487514786183785819276
x2[1] (numeric) = 1.008077559715788122182643379864
absolute error = 3.7137228273335998857560588018303e-05
relative error = 0.003684101098018811518131727600502 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002847301654491756371555583171
x1[1] (numeric) = 2.000236731830217339942204754802
absolute error = 4.7998335231835694950803515102488e-05
relative error = 0.0023995751458776380127220633276042 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.655e+04
Order of pole = 1.683e+08
TOP MAIN SOLVE Loop
memory used=1583.1MB, alloc=4.9MB, time=72.59
t[1] = 1.845
x2[1] (analytic) = 1.0080563769877242383649767536866
x2[1] (numeric) = 1.0080937780095528310677218608057
absolute error = 3.7401021828592702745107119056604e-05
relative error = 0.0037102113217471525844154691471803 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002844455776013660199158964694
x1[1] (numeric) = 2.0002361650101082033747865544656
absolute error = 4.8280567493162645129342003735222e-05
relative error = 0.0024136850936328291578100881782801 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.658e+04
Order of pole = 1.685e+08
TOP MAIN SOLVE Loop
memory used=1586.9MB, alloc=4.9MB, time=72.77
t[1] = 1.846
x2[1] (analytic) = 1.0080723635712295352203503853164
x2[1] (numeric) = 1.008110029623869793525409673403
absolute error = 3.7666052640258305059288086687656e-05
relative error = 0.0037364433349627140966673654601684 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002841612741991577078411781113
x1[1] (numeric) = 2.0002355976228954531225922339563
absolute error = 4.8563651303704585248944155019967e-05
relative error = 0.0024278376164699068950968683277934 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.661e+04
Order of pole = 1.687e+08
TOP MAIN SOLVE Loop
memory used=1590.7MB, alloc=4.9MB, time=72.95
t[1] = 1.847
x2[1] (analytic) = 1.008088382302119183846875691238
x2[1] (numeric) = 1.0081263146262987320136059345871
absolute error = 3.7932324179548166730243349075764e-05
relative error = 0.0037627974734639917428988957745616 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002838772549582472750311401944
x1[1] (numeric) = 2.0002350296680117019255892717744
absolute error = 4.8847586946545349441868420064482e-05
relative error = 0.0024420327285535174865215270125754 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.664e+04
Order of pole = 1.688e+08
TOP MAIN SOLVE Loop
memory used=1594.5MB, alloc=4.9MB, time=73.13
memory used=1598.3MB, alloc=4.9MB, time=73.31
t[1] = 1.848
x2[1] (analytic) = 1.0081044332446101388410837780709
x2[1] (numeric) = 1.0081426330845354760032000068076
absolute error = 3.8199839925337162116228736761167e-05
relative error = 0.003789274073757417307512378229866 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002835935195946154569070790439
x1[1] (numeric) = 2.0002344611448889948526968956934
absolute error = 4.9132374705620604210183350566850e-05
relative error = 0.0024562704440908722307171230799571 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.666e+04
Order of pole = 1.690e+08
TOP MAIN SOLVE Loop
memory used=1602.2MB, alloc=4.9MB, time=73.48
t[1] = 1.849
x2[1] (analytic) = 1.0081205164630480593089815821825
x2[1] (numeric) = 1.0081589850664122353172778974877
absolute error = 3.8468603364176008296315305213948e-05
relative error = 0.0038158734730587191257628043491481 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002833100678245268661925621116
x1[1] (numeric) = 2.0002338920529588087338311043494
absolute error = 4.9418014865718132361457762190353e-05
relative error = 0.002470550777331761718580927032823 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.669e+04
Order of pole = 1.692e+08
TOP MAIN SOLVE Loop
memory used=1606.0MB, alloc=4.9MB, time=73.66
t[1] = 1.85
x2[1] (analytic) = 1.0081366320219075663906418406903
x2[1] (numeric) = 1.0081753706398978740184073256856
absolute error = 3.8738617990307627765484995363241e-05
relative error = 0.0038425960092942846752566666015944 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002830268993645297091780170548
x1[1] (numeric) = 2.0002333223916520515913814497804
absolute error = 4.9704507712478117796567274448319e-05
relative error = 0.0024848737425685701313274356031459 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.672e+04
Order of pole = 1.693e+08
TOP MAIN SOLVE Loop
memory used=1609.8MB, alloc=4.9MB, time=73.84
t[1] = 1.851
x2[1] (analytic) = 1.0081527799857925013004995738322
x2[1] (numeric) = 1.0081917898730981848450995638243
absolute error = 3.9009887305683544599989992081295e-05
relative error = 0.003869442021102525306215597240138 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000282744013931455502268914406
x1[1] (numeric) = 2.0002327521603990620711190123911
absolute error = 4.9991853532393431149902014929191e-05
relative error = 0.0024992393541362895810386156455845 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.675e+04
Order of pole = 1.695e+08
TOP MAIN SOLVE Loop
memory used=1613.6MB, alloc=4.9MB, time=74.01
t[1] = 1.852
x2[1] (analytic) = 1.0081689604194361838843873819642
x2[1] (numeric) = 1.0082082428342561641985483616173
absolute error = 3.9282414819980314160979653133369e-05
relative error = 0.0038964118478352431122259870570767 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002824614112424187888172603809
x1[1] (numeric) = 2.0002321813586296088725349992528
absolute error = 5.0280052612809916282261128093336e-05
relative error = 0.0025136476264125344937259102550296 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.678e+04
Order of pole = 1.697e+08
TOP MAIN SOLVE Loop
memory used=1617.4MB, alloc=4.9MB, time=74.19
memory used=1621.2MB, alloc=4.9MB, time=74.37
t[1] = 1.853
x2[1] (analytic) = 1.0081851733877016716943439272538
x2[1] (numeric) = 1.0082247295917522876807484629919
absolute error = 3.9556204050615986404535738070627e-05
relative error = 0.0039235058295589999431890533165976 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002821790910148168562361166562
x1[1] (numeric) = 2.0002316099857728901786093960747
absolute error = 5.0569105241926677626720581559978e-05
relative error = 0.0025280985738175560349185821399753 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.681e+04
Order of pole = 1.698e+08
TOP MAIN SOLVE Loop
memory used=1625.0MB, alloc=4.9MB, time=74.55
t[1] = 1.854
x2[1] (analytic) = 1.0082014189555820195822320410919
x2[1] (numeric) = 1.0082412502141047861850984348904
absolute error = 3.9831258522766602866393798494306e-05
relative error = 0.0039507243070564885621790766862858 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002818970529663294533968642333
x1[1] (numeric) = 2.0002310380412575330850091026175
absolute error = 5.0859011708796368387761615775998e-05
relative error = 0.0025425922108142565777930114269303 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.683e+04
Order of pole = 1.700e+08
TOP MAIN SOLVE Loop
memory used=1628.9MB, alloc=4.9MB, time=74.72
t[1] = 1.855
x2[1] (analytic) = 1.0082176971882005398132049733433
x2[1] (numeric) = 1.0082578047699699225405947393419
absolute error = 4.0107581769382727389765998606626e-05
relative error = 0.0039780676218279059479107272818065 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000281615296814918508308928782
x1[1] (numeric) = 2.0002304655245115930287149807458
absolute error = 5.1149772303325479593948036219084e-05
relative error = 0.0025571285519082042138576072298033 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.686e+04
Order of pole = 1.702e+08
TOP MAIN SOLVE Loop
memory used=1632.7MB, alloc=4.9MB, time=74.90
t[1] = 1.856
x2[1] (analytic) = 1.0082340081508110627000613788074
x2[1] (numeric) = 1.0082743933281422687107261971259
absolute error = 4.0385177331206010664818318539678e-05
relative error = 0.0040055361160923287445095497410169 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002813338222788278460816851476
x1[1] (numeric) = 2.0002298924349625532160772437467
absolute error = 5.1441387316274630004441400836589e-05
relative error = 0.0025717076116476473062080344923314 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.689e+04
Order of pole = 1.704e+08
TOP MAIN SOLVE Loop
memory used=1636.5MB, alloc=4.9MB, time=75.07
t[1] = 1.857
x2[1] (analytic) = 1.008250351908798197759531719676
x2[1] (numeric) = 1.0082910159575549835481802127291
absolute error = 4.0664048756785788648493053171078e-05
relative error = 0.0040331301327890908602727763360714 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.00028105262907658290716825898
x1[1] (numeric) = 2.0002293187720373240502986149708
absolute error = 5.1733857039258856869644009259462e-05
relative error = 0.0025863294046235290853674998012251 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.692e+04
Order of pole = 1.705e+08
TOP MAIN SOLVE Loop
memory used=1640.3MB, alloc=4.9MB, time=75.25
memory used=1644.1MB, alloc=4.9MB, time=75.42
t[1] = 1.858
x2[1] (analytic) = 1.0082667285276775953915408503603
x2[1] (numeric) = 1.0083076727272800911064743561168
absolute error = 4.0944199602495714933505756549345e-05
relative error = 0.0040608500155791632171006852941963 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002807717169269904658909437311
x1[1] (numeric) = 2.0002287445351622425583446832766
absolute error = 5.2027181764747907546260454458463e-05
relative error = 0.002600993945469502287726882072804 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.695e+04
Order of pole = 1.707e+08
TOP MAIN SOLVE Loop
memory used=1647.9MB, alloc=4.9MB, time=75.60
t[1] = 1.859
x2[1] (analytic) = 1.0082831380730962090824936428231
x2[1] (numeric) = 1.0083243637065287595096291271203
absolute error = 4.1225633432550427135484297218150e-05
relative error = 0.0040886961088465356522717185085319 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002804910855491383492479515437
x1[1] (numeric) = 2.0002281697237630718172808821918
absolute error = 5.2321361786066531967069351928511e-05
relative error = 0.0026157012488619438365995362365458 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.698e+04
Order of pole = 1.709e+08
TOP MAIN SOLVE Loop
memory used=1651.7MB, alloc=4.9MB, time=75.77
t[1] = 1.86
x2[1] (analytic) = 1.0082995806108325581336326065058
x2[1] (numeric) = 1.008341088964651580380999962989
absolute error = 4.1508353819022247367356483203791e-05
relative error = 0.0041166687576996009742275184578576 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002802107346623951560012168411
x1[1] (numeric) = 2.0002275943372650003800355191249
absolute error = 5.2616397397394775965697716197280e-05
relative error = 0.0026304513295199695659056402752023 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.701e+04
Order of pole = 1.710e+08
TOP MAIN SOLVE Loop
memory used=1655.6MB, alloc=4.9MB, time=75.95
t[1] = 1.861
x2[1] (analytic) = 1.008316056206796990915518557086
x2[1] (numeric) = 1.0083578485711388488323887888737
absolute error = 4.1792364341857916870231787772180e-05
relative error = 0.0041447683079725411740269381954655 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002799306639864099760449717025
x1[1] (numeric) = 2.000227018375092641700588280393
absolute error = 5.2912288893768275456691309456847e-05
relative error = 0.002645244202205448986500998232991 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.703e+04
Order of pole = 1.712e+08
TOP MAIN SOLVE Loop
memory used=1659.4MB, alloc=4.9MB, time=76.12
t[1] = 1.862
x2[1] (analytic) = 1.0083325649270319486496874926567
x2[1] (numeric) = 1.0083746425956208440145576547155
absolute error = 4.2077668588895364870162058829490e-05
relative error = 0.0041729951062267157941209204895318 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002796508732411121100548123949
x1[1] (numeric) = 2.0002264418366700335585836372524
absolute error = 5.3209036571078551471175142413267e-05
relative error = 0.0026600798817230200951652540708935 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.706e+04
Order of pole = 1.714e+08
TOP MAIN SOLVE Loop
memory used=1663.2MB, alloc=4.9MB, time=76.30
memory used=1667.0MB, alloc=4.9MB, time=76.48
t[1] = 1.863
x2[1] (analytic) = 1.0083491068377122297185389444804
x2[1] (numeric) = 1.008391471107868110230269250207
absolute error = 4.2364270155880511730305726594326e-05
relative error = 0.0042013494997520524560929323759115 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002793713621467107894169767094
x1[1] (numeric) = 2.0002258647214206374833685775463
absolute error = 5.3506640726073306048399163039158e-05
relative error = 0.0026749583829201042262645135313196 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.709e+04
Order of pole = 1.715e+08
TOP MAIN SOLVE Loop
memory used=1670.8MB, alloc=4.9MB, time=76.65
t[1] = 1.864
x2[1] (analytic) = 1.0083656820051452545045131822605
x2[1] (numeric) = 1.0084083341777917386109813421969
absolute error = 4.2652172646484106468159936470303e-05
relative error = 0.0042298318365684395490023792944525 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002790921304236948964375520317
x1[1] (numeric) = 2.0002252870287673381774540870069
absolute error = 5.3805101656356718983465024799647e-05
relative error = 0.0026898797206869209461034134733713 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.712e+04
Order of pole = 1.717e+08
TOP MAIN SOLVE Loop
memory used=1674.6MB, alloc=4.9MB, time=76.83
t[1] = 1.865
x2[1] (analytic) = 1.0083822904957713307596167708856
x2[1] (numeric) = 1.0084252318754436493583244361131
absolute error = 4.2941379672318598707665227458477e-05
relative error = 0.004258442465427121079961108396077 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002788131777928326848313343553
x1[1] (numeric) = 2.0002247087581324429393998036732
absolute error = 5.4104419660389745431530682103161e-05
relative error = 0.0027048439099565029899817204547036 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.715e+04
Order of pole = 1.719e+08
TOP MAIN SOLVE Loop
memory used=1678.5MB, alloc=4.9MB, time=77.00
t[1] = 1.866
x2[1] (analytic) = 1.0083989323761639195063580968616
x2[1] (numeric) = 1.0084421642710168745514942247132
absolute error = 4.3231894852955045136127851532783e-05
relative error = 0.00428718173581209368856574330361 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002785345039751715004900587275
x1[1] (numeric) = 2.0002241299089376810861212683103
absolute error = 5.4404595037490414368790417206476e-05
relative error = 0.0027198509657047112419705826665709 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.718e+04
Order of pole = 1.721e+08
TOP MAIN SOLVE Loop
memory used=1682.3MB, alloc=4.9MB, time=77.18
t[1] = 1.867
x2[1] (analytic) = 1.0084156077130299014711566081402
x2[1] (numeric) = 1.0084591314348458415216926537269
absolute error = 4.3523721815940050536045586723019e-05
relative error = 0.0043160499979415058268011723575331 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002782561086920375025297218943
x1[1] (numeric) = 2.0002235504806042033746191931347
absolute error = 5.4705628087834127910528759578912e-05
relative error = 0.0027349009029502497574236016751112 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.721e+04
Order of pole = 1.722e+08
TOP MAIN SOLVE Loop
memory used=1686.1MB, alloc=4.9MB, time=77.35
t[1] = 1.868
memory used=1689.9MB, alloc=4.9MB, time=77.53
x2[1] (analytic) = 1.0084323165732098440512916408154
x2[1] (numeric) = 1.0084761334374066567947537047522
absolute error = 4.3816864196812743462063936774891e-05
relative error = 0.0043450476027690591060230389506198 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002779779916650353846167181942
x1[1] (numeric) = 2.0002229704725525814231301705784
absolute error = 5.5007519112453961486547615804539e-05
relative error = 0.0027499937367546808282379327842893 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.723e+04
Order of pole = 1.724e+08
TOP MAIN SOLVE Loop
memory used=1693.7MB, alloc=4.9MB, time=77.70
t[1] = 1.869
x2[1] (analytic) = 1.0084490590236782688164588401755
x2[1] (numeric) = 1.0084931703493173906030922711093
absolute error = 4.4111325639121786633430933751945e-05
relative error = 0.0043741749019854118126195557241379 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000277700152616048096572510025
x1[1] (numeric) = 2.0002223898842028071316982432395
absolute error = 5.5310268413240964874266785474539e-05
relative error = 0.0027651294822224400908806652142474 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.726e+04
Order of pole = 1.726e+08
TOP MAIN SOLVE Loop
memory used=1697.5MB, alloc=4.9MB, time=77.88
t[1] = 1.87
x2[1] (analytic) = 1.0084658351315439195460043218896
x2[1] (numeric) = 1.008510242241338361968116782257
absolute error = 4.4407109794442422112460367378008e-05
relative error = 0.0044034322480195845939453839336008 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002774225912672365662565544882
x1[1] (numeric) = 2.000221808714974292102166755592
absolute error = 5.5613876292944464089798896195326e-05
relative error = 0.0027803081545008516771957756831232 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.729e+04
Order of pole = 1.728e+08
TOP MAIN SOLVE Loop
memory used=1701.3MB, alloc=4.9MB, time=78.05
t[1] = 1.871
x2[1] (analytic) = 1.0084826449640500308029088616826
x2[1] (numeric) = 1.0085273491843724243542485168394
absolute error = 4.4704220322393551339655156860164e-05
relative error = 0.0044328199940403683161126849637666 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000277145307341039421727208096
x1[1] (numeric) = 2.0002212269642858670575899074472
absolute error = 5.5918343055172364137300648812515e-05
relative error = 0.0027955297687801434080069913907498 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.732e+04
Order of pole = 1.729e+08
TOP MAIN SOLVE Loop
memory used=1705.2MB, alloc=4.9MB, time=78.23
t[1] = 1.872
x2[1] (analytic) = 1.0084994885885745970455965487122
x2[1] (numeric) = 1.0085444912494652518956928334702
absolute error = 4.5002660890654850096284757951639e-05
relative error = 0.0044623384939577340952167625498372 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002768683005601727136803316991
x1[1] (numeric) = 2.0002206446315557812610634285769
absolute error = 5.6223669004391452616903122227217e-05
relative error = 0.0028107943402934620295319408290691 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.735e+04
Order of pole = 1.731e+08
TOP MAIN SOLVE Loop
memory used=1709.0MB, alloc=4.9MB, time=78.41
t[1] = 1.873
x2[1] (analytic) = 1.0085163660726306422786444890235
x2[1] (numeric) = 1.0085616685078056261971098419841
memory used=1712.8MB, alloc=4.9MB, time=78.58
absolute error = 4.5302435174983918465352960682692e-05
relative error = 0.0044919881024242455035659715129305 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002765915706476296381653180755
x1[1] (numeric) = 2.0002200617162017019339737933298
absolute error = 5.6529854445927704191524745760265e-05
relative error = 0.0028261018843168884926230132866334 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.738e+04
Order of pole = 1.733e+08
TOP MAIN SOLVE Loop
memory used=1716.6MB, alloc=4.9MB, time=78.76
t[1] = 1.874
x2[1] (analytic) = 1.0085332774838664902434723009187
x2[1] (numeric) = 1.0085788810307257237093343361008
absolute error = 4.5603546859233465862035182078370e-05
relative error = 0.0045217691748364729524777715104792 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002763151173266802595782648963
x1[1] (numeric) = 2.0002194782176407136736653934904
absolute error = 5.6836899685966585912871405902709e-05
relative error = 0.0028414524161694532748503903732634 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.741e+04
Order of pole = 1.734e+08
TOP MAIN SOLVE Loop
memory used=1720.4MB, alloc=4.9MB, time=78.93
t[1] = 1.875
x2[1] (analytic) = 1.0085502228900660351500923038678
x2[1] (numeric) = 1.0085961288897014036812971112617
absolute error = 4.5905999635368531204807393868446e-05
relative error = 0.0045516820673364102531949522030741 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002760389403208712339320160608
x1[1] (numeric) = 2.0002188941352893178705250870473
absolute error = 5.7144805031553363406929013478147e-05
relative error = 0.0028568459512131517454427553658184 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.743e+04
Order of pole = 1.736e+08
TOP MAIN SOLVE Loop
memory used=1724.2MB, alloc=4.9MB, time=79.11
t[1] = 1.876
x2[1] (analytic) = 1.0085672023591490129510034666825
x2[1] (numeric) = 1.0086134121563524966893020988308
absolute error = 4.6209797203483738298632148252015e-05
relative error = 0.0045817271368128933574681491144731 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002757630393540255324027946714
x1[1] (numeric) = 2.0002183094685634321244835399546
absolute error = 5.7453570790593407919254716734953e-05
relative error = 0.0028722825048529595731012286671706 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.746e+04
Order of pole = 1.738e+08
TOP MAIN SOLVE Loop
memory used=1728.0MB, alloc=4.9MB, time=79.28
t[1] = 1.877
x2[1] (analytic) = 1.0085842159591712731583143491218
x2[1] (numeric) = 1.0086307309024430937448160598976
absolute error = 4.6514943271820586501710775783053e-05
relative error = 0.0046119047409030212793428070763375 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002754874141502421651531511953
x1[1] (numeric) = 2.0002177242168783896609327773896
absolute error = 5.7763197271852504220373805685219e-05
relative error = 0.0028877620925368481767021201778786 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.749e+04
Order of pole = 1.740e+08
TOP MAIN SOLVE Loop
memory used=1731.9MB, alloc=4.9MB, time=79.46
t[1] = 1.878
x2[1] (analytic) = 1.0086012637583250512051824438683
x2[1] (numeric) = 1.0086480851998818359819298985973
absolute error = 4.6821441556784776747454728970998e-05
relative error = 0.0046422152379935791996807302682658 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002752120644338959054309506354
x1[1] (numeric) = 2.0002171383796489387460593604223
memory used=1735.7MB, alloc=4.9MB, time=79.63
absolute error = 5.8073684784957159371590213112966e-05
relative error = 0.0029032847297558002189041319037866 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.752e+04
Order of pole = 1.741e+08
TOP MAIN SOLVE Loop
memory used=1739.5MB, alloc=4.9MB, time=79.81
t[1] = 1.879
x2[1] (analytic) = 1.0086183458249392413526595029495
x2[1] (numeric) = 1.0086654751207222049256529761834
absolute error = 4.7129295782963572993473233820432e-05
relative error = 0.0046726589872224637549382842506278 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002749369899296370139441228091
x1[1] (numeric) = 2.000216551956289242101592603431
absolute error = 5.8385033640394912351519378087860e-05
relative error = 0.0029188504320438251426756866628657 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.755e+04
Order of pole = 1.743e+08
TOP MAIN SOLVE Loop
memory used=1743.3MB, alloc=4.9MB, time=79.99
t[1] = 1.88
x2[1] (analytic) = 1.0086354622274796701430346141597
x2[1] (numeric) = 1.0086829007371628133422041330495
absolute error = 4.7438509683143199169518889845778e-05
relative error = 0.0047032363484801105117151858055558 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002746621903623909635109001106
x1[1] (numeric) = 2.000215964946212876318967247012
absolute error = 5.8697244149514644543653098543097e-05
relative error = 0.0029344592149779747507581013111061 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.758e+04
Order of pole = 1.745e+08
TOP MAIN SOLVE Loop
memory used=1747.1MB, alloc=4.9MB, time=80.16
t[1] = 1.881
x2[1] (analytic) = 1.008652613034549370400768978895
x2[1] (numeric) = 1.0087003621215476966724654565227
absolute error = 4.7749086998326271696477627671198e-05
relative error = 0.0047339476824109236285796306124396 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000274387665457358163985267406
x1[1] (numeric) = 2.0002153773488328312729000005455
absolute error = 5.9010316624526891085266860508174e-05
relative error = 0.0029501110941783588280803654802039 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.761e+04
Order of pole = 1.747e+08
TOP MAIN SOLVE Loop
memory used=1750.9MB, alloc=4.9MB, time=80.34
t[1] = 1.882
x2[1] (analytic) = 1.0086697983148888557821185330442
x2[1] (numeric) = 1.0087178593463666050497671675369
absolute error = 4.8061031477749267648634492744534e-05
relative error = 0.0047647933504147077066672665498569 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002741134149400136874573489879
x1[1] (numeric) = 2.000214789163561509534379367995
absolute error = 5.9324251378504153077980992929846e-05
relative error = 0.0029658060853081608071413294092084 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.764e+04
Order of pole = 1.748e+08
TOP MAIN SOLVE Loop
memory used=1754.7MB, alloc=4.9MB, time=80.51
t[1] = 1.883
x2[1] (analytic) = 1.0086870181373763958745427471901
x2[1] (numeric) = 1.0087353924842552959031743392646
absolute error = 4.8374346878900028631592074540084e-05
relative error = 0.0047957737146481018305432214967054 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002738394385361069937284577878
x1[1] (numeric) = 2.0002142003898107257830681699291
absolute error = 5.9639048725381210660287858668410e-05
relative error = 0.0029815442040736534763751470582413 %
Correct digits = 4
h = 0.001
memory used=1758.6MB, alloc=4.9MB, time=80.69
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.766e+04
Order of pole = 1.750e+08
TOP MAIN SOLVE Loop
memory used=1762.4MB, alloc=4.9MB, time=80.86
t[1] = 1.884
x2[1] (analytic) = 1.0087042725710282918470001413877
x2[1] (numeric) = 1.0087529616079958271474485054312
absolute error = 4.8689036967535300448364043482498e-05
relative error = 0.00482688913802601580080803866131 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002735657359716616560605323235
x1[1] (numeric) = 2.0002136110269917062191181741693
absolute error = 5.9954708979955436942358154222619e-05
relative error = 0.002997325466224214731515863314911 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.769e+04
Order of pole = 1.752e+08
TOP MAIN SOLVE Loop
memory used=1766.2MB, alloc=4.9MB, time=81.04
t[1] = 1.885
x2[1] (analytic) = 1.0087215616849991526522332531928
x2[1] (numeric) = 1.008770566790516850960859565386
absolute error = 4.9005105517698308626312193278429e-05
relative error = 0.0048581399842230685599199594575575 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002732923069729750871996871297
x1[1] (numeric) = 2.0002130210745150879743962468767
absolute error = 6.0271232457887112803440253015684e-05
relative error = 0.0030131498875523433699770767431691 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.772e+04
Order of pole = 1.754e+08
TOP MAIN SOLVE Loop
memory used=1770.0MB, alloc=4.9MB, time=81.22
t[1] = 1.886
x2[1] (analytic) = 1.0087388855485821717821480054377
x2[1] (numeric) = 1.0087882081048939081520257470527
absolute error = 4.9322556311736369877741614980362e-05
relative error = 0.0048895266176750288126975235300162 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002730191512666182656736026955
x1[1] (numeric) = 2.0002124305317909185231214353058
absolute error = 6.0588619475699742552167389667922e-05
relative error = 0.0030290174838936749282626519801239 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.775e+04
Order of pole = 1.755e+08
TOP MAIN SOLVE Loop
memory used=1773.8MB, alloc=4.9MB, time=81.39
t[1] = 1.887
x2[1] (analytic) = 1.008756244231209404577394632493
x2[1] (numeric) = 1.0088058856243497231169617476445
absolute error = 4.9641393140318539567115151515863e-05
relative error = 0.0049210494035802578429579274630883 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002727462685794354623624812063
x1[1] (numeric) = 2.0002118393982286550919123928607
absolute error = 6.0906870350780370450088345589571e-05
relative error = 0.0030449282711269975624244985587887 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.778e+04
Order of pole = 1.757e+08
TOP MAIN SOLVE Loop
memory used=1777.6MB, alloc=4.9MB, time=81.57
t[1] = 1.888
x2[1] (analytic) = 1.0087736378024520460922595404216
x2[1] (numeric) = 1.0088235994222544993875175355197
absolute error = 4.9961619802453295257995098184349e-05
relative error = 0.0049527087079011545277379977492975 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002724736586385439673432946611
x1[1] (numeric) = 2.0002112476732371640692445565016
absolute error = 6.1225985401379898098738159450803e-05
relative error = 0.003060882265174267971583475623934 %
Correct digits = 4
h = 0.001
memory used=1781.5MB, alloc=4.9MB, time=81.74
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.781e+04
Order of pole = 1.759e+08
TOP MAIN SOLVE Loop
memory used=1785.3MB, alloc=4.9MB, time=81.92
t[1] = 1.889
x2[1] (analytic) = 1.0087910663320207095159796975421
x2[1] (numeric) = 1.0088413495721262157723926647684
absolute error = 5.0283240105506256412967226342334e-05
relative error = 0.0049845048973656025505359894948282 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002722013211713338170070522091
x1[1] (numeric) = 2.0002106553562247204143164859595
absolute error = 6.1545964946613402690566249626113e-05
relative error = 0.0030768794820006273645295247141802 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.784e+04
Order of pole = 1.761e+08
TOP MAIN SOLVE Loop
memory used=1789.1MB, alloc=4.9MB, time=82.10
t[1] = 1.89
x2[1] (analytic) = 1.008808529889765705151593377472
x2[1] (numeric) = 1.0088591361476309230919133270868
absolute error = 5.0606257865217940319949614758240e-05
relative error = 0.0050164383394684198150037198616222 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002719292559054675214488138234
x1[1] (numeric) = 2.0002100624465990070653247736239
absolute error = 6.1866809306460456124040199567728e-05
relative error = 0.0030929199376144174694171755062452 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.787e+04
Order of pole = 1.762e+08
TOP MAIN SOLVE Loop
memory used=1792.9MB, alloc=4.9MB, time=82.27
t[1] = 1.891
x2[1] (analytic) = 1.0088260285456773199534433067294
x2[1] (numeric) = 1.0088769592225830415077617432059
absolute error = 5.0930676905721554318436476511708e-05
relative error = 0.0050485094024728100605097841391215 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002716574625688797921301777013
x1[1] (numeric) = 2.0002094689437671143471469333801
absolute error = 6.2188518801765444983244321238398e-05
relative error = 0.0031090036480671965865726121568991 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.790e+04
Order of pole = 1.764e+08
TOP MAIN SOLVE Loop
memory used=1796.7MB, alloc=4.9MB, time=82.45
t[1] = 1.892
x2[1] (analytic) = 1.0088435623698860976244505034486
x2[1] (numeric) = 1.008894818870945658448849878618
absolute error = 5.1256501059560824399375169433481e-05
relative error = 0.0050807184554118166809857823587679 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002713859408897772698139690534
x1[1] (numeric) = 2.0002088748471355393784316760772
absolute error = 6.2511093754237891382292976228821e-05
relative error = 0.0031251306294537556844285306347091 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.792e+04
Order of pole = 1.766e+08
TOP MAIN SOLVE Loop
memory used=1800.5MB, alloc=4.9MB, time=82.62
t[1] = 1.893
x2[1] (analytic) = 1.0088611314326631192742793327103
x2[1] (numeric) = 1.0089127151668308271345318555858
absolute error = 5.1583734167707860252522875525169e-05
relative error = 0.0051130658680897787484586052634687 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002711146905966382527708582174
x1[1] (numeric) = 2.0002082801561101854780959787184
absolute error = 6.2834534486452774674879498999735e-05
relative error = 0.0031413008979121345386030602071306 %
Correct digits = 4
h = 0.001
memory used=1804.3MB, alloc=4.9MB, time=82.79
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.795e+04
Order of pole = 1.768e+08
TOP MAIN SOLVE Loop
memory used=1808.2MB, alloc=4.9MB, time=82.97
t[1] = 1.894
x2[1] (analytic) = 1.0088787358044202846395165474181
x2[1] (numeric) = 1.0089306481844998656963518254482
absolute error = 5.1912380079581056835278030159597e-05
relative error = 0.0051455520110837892426628899744748 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002708437114182124252576363018
x1[1] (numeric) = 2.00020768487009636157122835387
absolute error = 6.3158841321850854029282431824431e-05
relative error = 0.0031575144696236379141390650389488 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.798e+04
Order of pole = 1.769e+08
TOP MAIN SOLVE Loop
memory used=1812.0MB, alloc=4.9MB, time=83.15
t[1] = 1.895
x2[1] (analytic) = 1.0088963755557105938669893315732
x2[1] (numeric) = 1.0089486179983636568995264620489
absolute error = 5.2242442653063032537130475739042e-05
relative error = 0.0051781772557451554881187576107591 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002705730030835205862668768386
x1[1] (numeric) = 2.0002070889884987815943977251921
absolute error = 6.3484014584738991869151646464792e-05
relative error = 0.0031737713608128517909201846655479 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.801e+04
Order of pole = 1.771e+08
TOP MAIN SOLVE Loop
memory used=1815.8MB, alloc=4.9MB, time=83.32
t[1] = 1.896
x2[1] (analytic) = 1.0089140507572284298613496152203
x2[1] (numeric) = 1.0089666246829829484653636387278
absolute error = 5.2573925754518604014023507479013e-05
relative error = 0.0052109419742008618000508871614876 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000270302565321854378547712194
x1[1] (numeric) = 2.0002064925107215639003673144006
absolute error = 6.3810054600290478180397793393932e-05
relative error = 0.0031900715877476596322800149290198 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.804e+04
Order of pole = 1.773e+08
TOP MAIN SOLVE Loop
memory used=1819.6MB, alloc=4.9MB, time=83.50
t[1] = 1.897
x2[1] (analytic) = 1.0089317614798098411980541872679
x2[1] (numeric) = 1.0089846683130686539958212577396
absolute error = 5.2906833258812797767070471688785e-05
relative error = 0.0052438465393550343405158618402305 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002700323978627760178974537587
x1[1] (numeric) = 2.0002058954361682306622129443732
absolute error = 6.4136961694545355684509385481917e-05
relative error = 0.0032064151667392586968208738067593 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.807e+04
Order of pole = 1.775e+08
TOP MAIN SOLVE Loop
memory used=1823.4MB, alloc=4.9MB, time=83.67
t[1] = 1.898
x2[1] (analytic) = 1.0089495077944328256028723938356
x2[1] (numeric) = 1.0090027489634821545014126122055
absolute error = 5.3241169049328898540218369937528e-05
relative error = 0.0052768913248904081860955457090311 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000269762500436118022723785209
x1[1] (numeric) = 2.0002052977642417072768451625195
absolute error = 6.4464736194410745878622689488743e-05
relative error = 0.0032228021141421763934586394209802 %
Correct digits = 4
memory used=1827.2MB, alloc=4.9MB, time=83.85
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.810e+04
Order of pole = 1.777e+08
TOP MAIN SOLVE Loop
memory used=1831.0MB, alloc=4.9MB, time=84.02
t[1] = 1.899
x2[1] (analytic) = 1.0089672897722176139990554757552
x2[1] (numeric) = 1.0090208667092356005336670767716
absolute error = 5.3576937017986534611601016428490e-05
relative error = 0.0053100767052697966085050092994183 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002694928727719829438772583998
x1[1] (numeric) = 2.0002046994943443217679345879343
absolute error = 6.4793378427661175942670465461633e-05
relative error = 0.0032392324463542866797101903935513 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.813e+04
Order of pole = 1.778e+08
TOP MAIN SOLVE Loop
memory used=1834.9MB, alloc=4.9MB, time=84.20
t[1] = 1.9
x2[1] (analytic) = 1.0089851074844269551233038693665
x2[1] (numeric) = 1.0090390216254922149233573440579
absolute error = 5.3914141065259800053474691356585e-05
relative error = 0.0053434030557375625694542230231931 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002692235146007430947538217244
x1[1] (numeric) = 2.0002041006258778041882398852632
absolute error = 6.5122888722938906513936461212646e-05
relative error = 0.0032557061798168265032400216037548 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.816e+04
Order of pole = 1.780e+08
TOP MAIN SOLVE Loop
memory used=1838.7MB, alloc=4.9MB, time=84.37
t[1] = 1.901
x2[1] (analytic) = 1.0090029610024664007116710698045
x2[1] (numeric) = 1.0090572137875665961257068497351
absolute error = 5.4252785100195414035779930601202e-05
relative error = 0.0053768707523210924310933761048133 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002689544256530402816671110412
x1[1] (numeric) = 2.0002035011582432860213377676047
absolute error = 6.5453267409754260329343436458382e-05
relative error = 0.0032722233310144122866826513170338 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.819e+04
Order of pole = 1.782e+08
TOP MAIN SOLVE Loop
memory used=1842.5MB, alloc=4.9MB, time=84.55
t[1] = 1.902
x2[1] (analytic) = 1.0090208503978845912565449355875
x2[1] (numeric) = 1.0090754432709250221737934596799
absolute error = 5.4592873040430917248524092411794e-05
relative error = 0.0054104801718322718833622563251163 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002686856056597855344902335408
x1[1] (numeric) = 2.0002029010908412995827544301819
absolute error = 6.5784514818485951735803358937227e-05
relative error = 0.0032887839164750564557574785805757 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.822e+04
Order of pole = 1.784e+08
TOP MAIN SOLVE Loop
memory used=1846.3MB, alloc=4.9MB, time=84.72
t[1] = 1.903
x2[1] (analytic) = 1.0090387757423735423358495974928
x2[1] (numeric) = 1.0090937101511857552413679281381
absolute error = 5.4934408812212905518330645385578e-05
relative error = 0.0054442316918689640895546417878271 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000268417054352158837566775195
x1[1] (numeric) = 2.0002023004230717774204978159121
memory used=1850.1MB, alloc=4.9MB, time=84.90
absolute error = 6.6116631280381417068959282881759e-05
relative error = 0.0033053879527701840106927927267111 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.824e+04
Order of pole = 1.785e+08
TOP MAIN SOLVE Loop
memory used=1853.9MB, alloc=4.9MB, time=85.07
t[1] = 1.904
x2[1] (analytic) = 1.0090567371077689315156134234518
x2[1] (numeric) = 1.0091120145041193468163080761814
absolute error = 5.5277396350415300694652729622606e-05
relative error = 0.0054781256908164900513991099498582 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002681487714616088608907626988
x1[1] (numeric) = 2.0002016991543340517149901134102
absolute error = 6.6449617127557145900649288615760e-05
relative error = 0.0033220354565146491409756797876339 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.827e+04
Order of pole = 1.787e+08
TOP MAIN SOLVE Loop
memory used=1857.8MB, alloc=4.9MB, time=85.24
t[1] = 1.905
x2[1] (analytic) = 1.0090747345660503858270507845315
x2[1] (numeric) = 1.0091303564056489434859320849866
absolute error = 5.5621839598557658881300455082703e-05
relative error = 0.0055121625478491111949480610370713 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002678807567198526915553110852
x1[1] (numeric) = 2.0002010972840268536783998873544
absolute error = 6.6783472692999013155423730767339e-05
relative error = 0.003338726444366751883444613604909 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.830e+04
Order of pole = 1.789e+08
TOP MAIN SOLVE Loop
memory used=1861.6MB, alloc=4.9MB, time=85.42
t[1] = 1.906
x2[1] (analytic) = 1.0090927681893417698193076649862
x2[1] (numeric) = 1.0091487359318505933353967486046
absolute error = 5.5967742508823516089083618471919e-05
relative error = 0.0055463426429315141785570824413855 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002676130098588755654696884612
x1[1] (numeric) = 2.0002004948115483129533732405495
absolute error = 6.7118198310562612096447911643131e-05
relative error = 0.003355460933028254823741562414676 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.833e+04
Order of pole = 1.791e+08
TOP MAIN SOLVE Loop
memory used=1865.4MB, alloc=4.9MB, time=85.60
t[1] = 1.907
x2[1] (analytic) = 1.0091108380499114741890234618886
x2[1] (numeric) = 1.0091671531589535529604089859317
absolute error = 5.6315109042078771385524043064794e-05
relative error = 0.0055806663568202979242270475045184 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002673455306109305993445295826
x1[1] (numeric) = 2.0001998917362959570111634064169
absolute error = 6.7453794314973588181123165693961e-05
relative error = 0.0033722389392443998411404847044159 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.836e+04
Order of pole = 1.793e+08
TOP MAIN SOLVE Loop
memory used=1869.2MB, alloc=4.9MB, time=85.77
t[1] = 1.908
x2[1] (analytic) = 1.0091289442201727049878636269805
x2[1] (numeric) = 1.0091856081633405950954813715558
memory used=1873.0MB, alloc=4.9MB, time=85.95
absolute error = 5.6663943167890107617744575335939e-05
relative error = 0.0056151340710654628735715459790476 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002670783187085385229449302526
x1[1] (numeric) = 2.0001992880576667105491581700419
absolute error = 6.7790261041827973786760210720896e-05
relative error = 0.0033890604798039248967691311696655 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.839e+04
Order of pole = 1.794e+08
TOP MAIN SOLVE Loop
memory used=1876.8MB, alloc=4.9MB, time=86.13
t[1] = 1.909
x2[1] (analytic) = 1.0091470867726837734091801151301
x2[1] (numeric) = 1.0092041010215483168589649100388
absolute error = 5.7014248864543449784794908744202e-05
relative error = 0.005649746168011902469662384158904 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002668113738844874116111547967
x1[1] (numeric) = 2.0001986837750568948878045153052
absolute error = 6.8127598827592523806639491522928e-05
relative error = 0.0034059255715390808652411126491904 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.842e+04
Order of pole = 1.796e+08
TOP MAIN SOLVE Loop
memory used=1880.6MB, alloc=4.9MB, time=86.30
t[1] = 1.91
x2[1] (analytic) = 1.0091652657801483861549589201677
x2[1] (numeric) = 1.0092226318102674486160947480168
absolute error = 5.7366030119062461135827849100590e-05
relative error = 0.0056845030308008968659959699280343 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002665446958718324190466891352
x1[1] (numeric) = 2.0001980788878622273669298950231
absolute error = 6.8465808009605052116794112074596e-05
relative error = 0.0034228342313256484097152369848903 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.845e+04
Order of pole = 1.798e+08
TOP MAIN SOLVE Loop
memory used=1884.5MB, alloc=4.9MB, time=86.48
t[1] = 1.911
x2[1] (analytic) = 1.0091834813154159363842162998795
x2[1] (numeric) = 1.0092412006063431634612869932677
absolute error = 5.7719290927227077070693388273599e-05
relative error = 0.0057194050433716088638134115261822 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002662782844038955103733722418
x1[1] (numeric) = 2.0001974733954778207414595204187
absolute error = 6.8804888926074768913851823044512e-05
relative error = 0.0034397864760829549003991608381643 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.848e+04
Order of pole = 1.800e+08
TOP MAIN SOLVE Loop
memory used=1888.3MB, alloc=4.9MB, time=86.65
t[1] = 1.912
x2[1] (analytic) = 1.0092017334514817952440076176066
x2[1] (numeric) = 1.0092598074867753873209272896208
absolute error = 5.8074035293592076919672014160643e-05
relative error = 0.0057544525904625820789971084120948 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002660121392142651954533390415
x1[1] (numeric) = 2.000196867297298182576529065639
absolute error = 6.9144841916082618924273402524906e-05
relative error = 0.0034567823227738913765144455976455 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.851e+04
Order of pole = 1.802e+08
TOP MAIN SOLVE Loop
memory used=1892.1MB, alloc=4.9MB, time=86.83
t[1] = 1.913
x2[1] (analytic) = 1.0092200222614876039842150582129
x2[1] (numeric) = 1.0092784525287191096778942812684
memory used=1895.9MB, alloc=4.9MB, time=87.01
absolute error = 5.8430267231505693679223055500936e-05
relative error = 0.0057896460576132413397564979536982 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002657462600367962624775080727
x1[1] (numeric) = 2.0001962605927172146419921824335
absolute error = 6.9485667319581620485325639238734e-05
relative error = 0.0034738217884049295517401496341596 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.854e+04
Order of pole = 1.803e+08
TOP MAIN SOLVE Loop
memory used=1899.7MB, alloc=4.9MB, time=87.18
t[1] = 1.914
x2[1] (analytic) = 1.0092383478187215666572828111661
x2[1] (numeric) = 1.0092971358094846949190635897069
absolute error = 5.8787990763128261780778540843747e-05
relative error = 0.0058249858311653953163054425278284 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002654806466056095118203474985
x1[1] (numeric) = 2.0001956532811282123063222194993
absolute error = 6.9827365477397205498127999225614e-05
relative error = 0.0034909048900261388631521322975273 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.857e+04
Order of pole = 1.805e+08
TOP MAIN SOLVE Loop
memory used=1903.5MB, alloc=4.9MB, time=87.35
t[1] = 1.915
x2[1] (analytic) = 1.0092567101966187434040706531373
x2[1] (numeric) = 1.0093158574065381943070404211798
absolute error = 5.9147209919450902969768042438117e-05
relative error = 0.0058604722982647413837234977040389 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000265215298655091490160653325
x1[1] (numeric) = 2.0001950453619238639299075403959
absolute error = 7.0169936731227560253112929081556e-05
relative error = 0.0035080316447312035636752882064394 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.859e+04
Order of pole = 1.807e+08
TOP MAIN SOLVE Loop
memory used=1907.3MB, alloc=4.9MB, time=87.53
t[1] = 1.916
x2[1] (analytic) = 1.0092751094687613443269992068637
x2[1] (numeric) = 1.0093346173975016585773714221423
absolute error = 5.9507928740314250372215278598581e-05
relative error = 0.0058961058468623727191829932521166 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002649502159198942248680739456
x1[1] (numeric) = 2.0001944368344962502577398333244
absolute error = 7.0513381423643967128240621241219e-05
relative error = 0.003525202069657439858065973557145 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.862e+04
Order of pole = 1.809e+08
TOP MAIN SOLVE Loop
memory used=1911.2MB, alloc=4.9MB, time=87.71
t[1] = 1.917
x2[1] (analytic) = 1.0092935457088790239516625020533
x2[1] (numeric) = 1.0093534158601534511624889049162
absolute error = 5.9870151274427210826402862850379e-05
relative error = 0.0059318868657162876347134844846653 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002646853981349349586551153984
x1[1] (numeric) = 2.0001938276982368438114948054588
absolute error = 7.0857699898091147160309939545921e-05
relative error = 0.003542416181985813082441929369136 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.865e+04
Order of pole = 1.811e+08
TOP MAIN SOLVE Loop
memory used=1915.0MB, alloc=4.9MB, time=87.88
t[1] = 1.918
memory used=1918.8MB, alloc=4.9MB, time=88.06
x2[1] (analytic) = 1.0093120189908491762780858178497
x2[1] (numeric) = 1.0093722528724285620436430753652
absolute error = 6.0233881579385765557257515492299e-05
relative error = 0.0059678157443929011466646916570769 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000264420845035395884494361988
x1[1] (numeric) = 2.0001932179525365082810046539116
absolute error = 7.1202892498887603489708076436871e-05
relative error = 0.003559673998940954927377049796434 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.868e+04
Order of pole = 1.812e+08
TOP MAIN SOLVE Loop
memory used=1922.6MB, alloc=4.9MB, time=88.23
t[1] = 1.919
x2[1] (analytic) = 1.0093305293886972304228091448222
x2[1] (numeric) = 1.009391128512418922232080409116
absolute error = 6.0599123721691809271264293762293e-05
relative error = 0.006003892873268558783018539529212 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002641565563567238808006471907
x1[1] (numeric) = 2.0001926075967854979151217048042
absolute error = 7.1548959571225965678942386551921e-05
relative error = 0.0035769755377911807045783868615302 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.871e+04
Order of pole = 1.814e+08
TOP MAIN SOLVE Loop
memory used=1926.4MB, alloc=4.9MB, time=88.40
t[1] = 1.92
x2[1] (analytic) = 1.0093490769765969468529789676193
x2[1] (numeric) = 1.0094100428583737188807288425705
absolute error = 6.0965881776772027749874951178187e-05
relative error = 0.0060401186435310526296903374771014 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002638925318346302468779100226
x1[1] (numeric) = 2.0001919966303734569119726113073
absolute error = 7.1895901461173334905298715286337e-05
relative error = 0.003594320815848506657162826215533 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.874e+04
Order of pole = 1.816e+08
TOP MAIN SOLVE Loop
memory used=1930.2MB, alloc=4.9MB, time=88.58
t[1] = 1.921
x2[1] (analytic) = 1.009367661828870714213633437323
x2[1] (numeric) = 1.0094289959886997110276529697285
absolute error = 6.1334159828996814019532405482212e-05
relative error = 0.0060764934471811396169485024591008 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002636287712050904386304723197
x1[1] (numeric) = 2.0001913850526894188086025009047
absolute error = 7.2243718515671630027971415004706e-05
relative error = 0.0036117098504686673135509117926883 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.877e+04
Order of pole = 1.818e+08
TOP MAIN SOLVE Loop
memory used=1934.0MB, alloc=4.9MB, time=88.75
t[1] = 1.922
x2[1] (analytic) = 1.0093862840199898467493683751858
x2[1] (numeric) = 1.0094479879819615459725449656644
absolute error = 6.1703961971699223176590478574091e-05
relative error = 0.0061130176770340620470715224184803 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002633652742043438045384726404
x1[1] (numeric) = 2.0001907728631218058700084615243
absolute error = 7.2592411082537934530011116062824e-05
relative error = 0.003629142659051132884995340510193 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.880e+04
Order of pole = 1.820e+08
TOP MAIN SOLVE Loop
memory used=1937.9MB, alloc=4.9MB, time=88.92
memory used=1941.7MB, alloc=4.9MB, time=89.10
t[1] = 1.923
x2[1] (analytic) = 1.009404943624574882321573926823
x2[1] (numeric) = 1.0094670189168820762875194923945
absolute error = 6.2075292307193965945565571504671e-05
relative error = 0.0061496917267210703643500860718755 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000263102040568893321897192765
x1[1] (numeric) = 2.0001901600610584284775617555704
absolute error = 7.2941979510464844335437194616246e-05
relative error = 0.0036466192590391267067616914651645 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.883e+04
Order of pole = 1.822e+08
TOP MAIN SOLVE Loop
memory used=1945.5MB, alloc=4.9MB, time=89.28
t[1] = 1.924
x2[1] (analytic) = 1.0094236407173958810224340680848
x2[1] (numeric) = 1.0094860888723426774634833828384
absolute error = 6.2448154946796441049314753653413e-05
relative error = 0.0061865159906909481685314662179991 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002628390700355053333200130337
x1[1] (numeric) = 2.0001895466458864845168181502793
absolute error = 7.3292424149020816501862754356964e-05
relative error = 0.0036641396679196427229789973998036 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.886e+04
Order of pole = 1.823e+08
TOP MAIN SOLVE Loop
memory used=1949.3MB, alloc=4.9MB, time=89.45
t[1] = 1.925
x2[1] (analytic) = 1.0094423753733727243868835507521
x2[1] (numeric) = 1.0095051979273835661933534436303
absolute error = 6.2822554010841806469892878262620e-05
relative error = 0.0062234908642115394727923374303093 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000262576362341209283504733023
x1[1] (numeric) = 2.0001889326169925587647157522081
absolute error = 7.3643745348650518788980814832231e-05
relative error = 0.0036817039032234630151778095432326 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.889e+04
Order of pole = 1.825e+08
TOP MAIN SOLVE Loop
memory used=1953.1MB, alloc=4.9MB, time=89.63
t[1] = 1.926
x2[1] (analytic) = 1.0094611476675754152037192679014
x2[1] (numeric) = 1.0095243461612041192933982676886
absolute error = 6.3198493628704089678999787184507e-05
relative error = 0.0062606167433712782073152349969059 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002623139172232974562629943299
x1[1] (numeric) = 2.000188317973762622276159733055
absolute error = 7.3995943460675180103261274860871e-05
relative error = 0.0036993119825251753745334502942499 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.892e+04
Order of pole = 1.827e+08
TOP MAIN SOLVE Loop
memory used=1956.9MB, alloc=4.9MB, time=89.80
t[1] = 1.927
x2[1] (analytic) = 1.0094799576752243779270654152675
x2[1] (numeric) = 1.0095435336531631932639825027041
absolute error = 6.3575977938815336917087436650844e-05
relative error = 0.0062978940250807199695328199659077 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002620517344193247118125424911
x1[1] (numeric) = 2.0001877027155820317699933333953
absolute error = 7.4349018837292941819209095773226e-05
relative error = 0.0037169639234431909178321915833575 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.895e+04
Order of pole = 1.829e+08
TOP MAIN SOLVE Loop
memory used=1960.8MB, alloc=4.9MB, time=89.97
memory used=1964.6MB, alloc=4.9MB, time=90.15
t[1] = 1.928
x2[1] (analytic) = 1.00949880547169075968939422622
x2[1] (numeric) = 1.0095627604827794444909945820838
absolute error = 6.3955011088684801600355863736732e-05
relative error = 0.0063353231070740760220930048692164 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.00026178981366710822433206533
x1[1] (numeric) = 2.0001870868418355290143545303042
absolute error = 7.4702971831579209977535025762212e-05
relative error = 0.0037346597436397617471781401449299 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.898e+04
Order of pole = 1.831e+08
TOP MAIN SOLVE Loop
memory used=1968.4MB, alloc=4.9MB, time=90.32
t[1] = 1.929
x2[1] (analytic) = 1.009517691132496731917306464061
x2[1] (numeric) = 1.0095820267297316500892414903816
absolute error = 6.4335597234918171935026320599599e-05
relative error = 0.0063729043879107495395868158553466 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002615281547047272197783452873
x1[1] (numeric) = 2.0001864703519072402114177542237
absolute error = 7.5057802797487008360591063545552e-05
relative error = 0.0037523994608209986534586543413479 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.901e+04
Order of pole = 1.833e+08
TOP MAIN SOLVE Loop
memory used=1972.2MB, alloc=4.9MB, time=90.49
t[1] = 1.93
x2[1] (analytic) = 1.0095366147333157925512782662579
x2[1] (numeric) = 1.0096013324738590293890967058891
absolute error = 6.4717740543236837818439631172035e-05
relative error = 0.0064106382669768741050696192854817 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002612667572705227139654635506
x1[1] (numeric) = 2.0001858532451806753815200398138
absolute error = 7.5413512089847332445423736804073e-05
relative error = 0.0037701830927368888635861606103544 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.904e+04
Order of pole = 1.834e+08
TOP MAIN SOLVE Loop
memory used=1976.0MB, alloc=4.9MB, time=90.67
t[1] = 1.931
x2[1] (analytic) = 1.0095555763499730688705833509646
x2[1] (numeric) = 1.0096206777951615660676900388381
absolute error = 6.5101445188497197106687873414497e-05
relative error = 0.0064485251444868544573950240578519 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000261005621103097250905794064
x1[1] (numeric) = 2.0001852355210387277466709949155
absolute error = 7.5770100064369504234799148478839e-05
relative error = 0.0037880106571813138315342810548497 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.907e+04
Order of pole = 1.836e+08
TOP MAIN SOLVE Loop
memory used=1979.8MB, alloc=4.9MB, time=90.84
t[1] = 1.932
x2[1] (analytic) = 1.0095745760584456209246020167508
x2[1] (numeric) = 1.009640062773800330925930664611
absolute error = 6.5486715354710001328647860134419e-05
relative error = 0.0064865654214849094903693847448297 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002607447459413146414125257569
x1[1] (numeric) = 2.0001846171788636731134459711349
absolute error = 7.6127567077641527966554621981748e-05
relative error = 0.0038058821719920670731862271608703 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.910e+04
Order of pole = 1.838e+08
TOP MAIN SOLVE Loop
memory used=1983.6MB, alloc=4.9MB, time=91.02
memory used=1987.5MB, alloc=4.9MB, time=91.19
t[1] = 1.933
x2[1] (analytic) = 1.0095936139348627455717307918803
x2[1] (numeric) = 1.0096594874900978053126572374637
absolute error = 6.5873555235059740926445583396024e-05
relative error = 0.0065247594998466175047233747748522 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002604841315242997019634515962
x1[1] (numeric) = 2.0001839982180371692552618189415
absolute error = 7.6485913487130446701632654700860e-05
relative error = 0.0038237976550508720450134581146292 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.912e+04
Order of pole = 1.840e+08
TOP MAIN SOLVE Loop
memory used=1991.3MB, alloc=4.9MB, time=91.37
t[1] = 1.934
x2[1] (analytic) = 1.0096126900555062811271090197498
x2[1] (numeric) = 1.0096789520245382051972115615521
absolute error = 6.6261969031924070102541802326020e-05
relative error = 0.006563107782280463713885573086617 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002602237775914379938257633243
x1[1] (numeric) = 2.0001833786379402552940346095564
absolute error = 7.6845139651182699791153767864147e-05
relative error = 0.0038417571242834000666026456932808 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.915e+04
Order of pole = 1.842e+08
TOP MAIN SOLVE Loop
memory used=1995.1MB, alloc=4.9MB, time=91.54
t[1] = 1.935
x2[1] (analytic) = 1.0096318044968109126203811022389
x2[1] (numeric) = 1.0096984564577678058917348925312
absolute error = 6.6651960956893271353790292311255e-05
relative error = 0.0066016106723293900045314116443172 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002599636838823755624415910085
x1[1] (numeric) = 2.0001827584379533510812187052886
absolute error = 7.7205245929024481222885719864287e-05
relative error = 0.0038597605976592882870490312265539 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.918e+04
Order of pole = 1.844e+08
TOP MAIN SOLVE Loop
memory used=1998.9MB, alloc=4.9MB, time=91.72
t[1] = 1.936
x2[1] (analytic) = 1.009650957335364477664715562734
x2[1] (numeric) = 1.0097180008705952674244885446699
absolute error = 6.7043535230789759772981935833555e-05
relative error = 0.0066402685743723469528691646474861 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002597038501370186770740267869
x1[1] (numeric) = 2.0001821376174562565782265593574
absolute error = 7.7566232680762098847467429543585e-05
relative error = 0.0038778080931921576952343036676081 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.921e+04
Order of pole = 1.845e+08
TOP MAIN SOLVE Loop
memory used=2002.7MB, alloc=4.9MB, time=91.90
t[1] = 1.937
x2[1] (analytic) = 1.0096701486479082729383045354873
x2[1] (numeric) = 1.0097375853439919605655030853094
absolute error = 6.7436696083687627198549822143990e-05
relative error = 0.0066790818936258480976129229139694 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002594442760955335707133724572
x1[1] (numeric) = 2.0001815161758281512362286256215
absolute error = 7.7928100267382334484746835692881e-05
relative error = 0.0038958996289396311740071713714604 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.924e+04
Order of pole = 1.847e+08
TOP MAIN SOLVE Loop
memory used=2006.5MB, alloc=4.9MB, time=92.07
memory used=2010.3MB, alloc=4.9MB, time=92.25
t[1] = 1.938
x2[1] (analytic) = 1.0096893785113373612795697377646
x2[1] (numeric) = 1.0097572099590922935058630105999
absolute error = 6.7831447754932226293272835294549e-05
relative error = 0.0067180510361455264705806884754292 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002591849614983461802433508139
x1[1] (numeric) = 2.0001808941124475933753327580148
absolute error = 7.8290849050752804910592799132309e-05
relative error = 0.0039140352230033515982848437581406 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.927e+04
Order of pole = 1.849e+08
TOP MAIN SOLVE Loop
memory used=2014.2MB, alloc=4.9MB, time=92.42
t[1] = 1.939
x2[1] (analytic) = 1.0097086470027008793973034359331
x2[1] (numeric) = 1.0097768747971940391919364137815
absolute error = 6.8227794493159794632977848371786e-05
relative error = 0.0067571764088276933858438446165558 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000258925906086141886867020901
x1[1] (numeric) = 2.0001802714266925195631424788668
absolute error = 7.8654479393622323724542034215896e-05
relative error = 0.0039322148935289999770936826354063 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.930e+04
Order of pole = 1.851e+08
TOP MAIN SOLVE Loop
memory used=2018.0MB, alloc=4.9MB, time=92.60
t[1] = 1.94
x2[1] (analytic) = 1.009727954199202346196975376248
x2[1] (numeric) = 1.0097965799397586633158617798548
absolute error = 6.8625740556317118886403606767989e-05
relative error = 0.0067964584194108994883423051259148 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002586671095998652567921376056
x1[1] (numeric) = 2.0001796481179402439926934946682
absolute error = 7.9018991659621264098642937437081e-05
relative error = 0.0039504386587063136395673265724262 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.933e+04
Order of pole = 1.853e+08
TOP MAIN SOLVE Loop
memory used=2021.8MB, alloc=4.9MB, time=92.77
t[1] = 1.941
x2[1] (analytic) = 1.0097473001781999717244391156368
x2[1] (numeric) = 1.0098163254684116529636066683124
absolute error = 6.9025290211681239167552675635509e-05
relative error = 0.0068358974764774980628676231213021 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002584085717807197821756962776
x1[1] (numeric) = 2.0001790241855674578597678372156
absolute error = 7.9384386213261922407859062009224e-05
relative error = 0.0039687065367691044649206353513627 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.936e+04
Order of pole = 1.855e+08
TOP MAIN SOLVE Loop
memory used=2025.6MB, alloc=4.9MB, time=92.94
t[1] = 1.942
x2[1] (analytic) = 1.0097666850172069667282736572447
x2[1] (numeric) = 1.0098361114649428459219156786917
absolute error = 6.9426447735879193642021446955233e-05
relative error = 0.0068754939894552106043042441780177 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002581502923701676223274033201
x1[1] (numeric) = 2.0001783996289502287395850074513
absolute error = 7.9750663419938882742395868854863e-05
relative error = 0.003987018545995277156417845178301 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.939e+04
Order of pole = 1.856e+08
TOP MAIN SOLVE Loop
memory used=2029.4MB, alloc=4.9MB, time=93.12
memory used=2033.2MB, alloc=4.9MB, time=93.29
t[1] = 1.943
x2[1] (analytic) = 1.0097861087938918528419987699196
x2[1] (numeric) = 1.0098559380113067606454677320702
absolute error = 6.9829217414907803468962150568186e-05
relative error = 0.0069152483686186946500069203360805 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002578922711099293451718139549
x1[1] (numeric) = 2.0001777744474639999628694986885
absolute error = 8.0117823645929382302315266360870e-05
relative error = 0.0040053747047068475593533690085119 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.942e+04
Order of pole = 1.858e+08
TOP MAIN SOLVE Loop
memory used=2037.0MB, alloc=4.9MB, time=93.47
t[1] = 1.944
x2[1] (analytic) = 1.0098055715860787733874048501791
x2[1] (numeric) = 1.0098758051896229268855653452708
absolute error = 7.0233603544153498160495091728606e-05
relative error = 0.0069551610250911138751800606027704 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000257634507741983668968878623
x1[1] (numeric) = 2.0001771486404835899912940752894
absolute error = 8.0485867258393677674803333544474e-05
relative error = 0.0040237750312699610230637200336586 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.945e+04
Order of pole = 1.860e+08
TOP MAIN SOLVE Loop
memory used=2040.9MB, alloc=4.9MB, time=93.64
t[1] = 1.945
x2[1] (analytic) = 1.0098250734717478048002406695353
x2[1] (numeric) = 1.0098957130821762169816812234812
absolute error = 7.0639610428412181440553945897652e-05
relative error = 0.006995232370845710452112479509766 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002573770020085672042926397434
x1[1] (numeric) = 2.0001765222073831917922981822394
absolute error = 8.0854794625375411994457503928409e-05
relative error = 0.0040422195440949108069890800902871 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.948e+04
Order of pole = 1.862e+08
TOP MAIN SOLVE Loop
memory used=2044.7MB, alloc=4.9MB, time=93.82
t[1] = 1.946
x2[1] (analytic) = 1.0098446145290352686795048393528
x2[1] (numeric) = 1.0099156617714171778171901512331
absolute error = 7.1047242381909137685311880270481e-05
relative error = 0.0070354628187073796741086178384863 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002571197536521741962678208065
x1[1] (numeric) = 2.000175895147536372213280860436
absolute error = 8.1224606115801982986960370442966e-05
relative error = 0.0040607082616361565308030784798374 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.951e+04
Order of pole = 1.864e+08
TOP MAIN SOLVE Loop
memory used=2048.5MB, alloc=4.9MB, time=93.99
t[1] = 1.947
x2[1] (analytic) = 1.0098641948362340444615893197034
x2[1] (numeric) = 1.009935651339962363440616821245
absolute error = 7.1456503728318979027501541578562e-05
relative error = 0.0070758527823542468449448485010897 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002568627624155562670640500401
x1[1] (numeric) = 2.000175267460316071355167541885
absolute error = 8.1595302099484911896508155059418e-05
relative error = 0.0040792412023923426686293904405038 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.954e+04
Order of pole = 1.866e+08
TOP MAIN SOLVE Loop
memory used=2052.3MB, alloc=4.9MB, time=94.17
memory used=2056.1MB, alloc=4.9MB, time=94.34
t[1] = 1.948
x2[1] (analytic) = 1.0098838144717938827205257979627
x2[1] (numeric) = 1.0099556818705946683537329055144
absolute error = 7.1867398800785633207107551697657e-05
relative error = 0.0071164026763192464346669454651349 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002566060280417221586474611418
x1[1] (numeric) = 2.0001746391450946019453500983712
absolute error = 8.1966882947120213297362770614045e-05
relative error = 0.0040978183849063170873638082806117 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.957e+04
Order of pole = 1.868e+08
TOP MAIN SOLVE Loop
memory used=2059.9MB, alloc=4.9MB, time=94.52
t[1] = 1.949
x2[1] (analytic) = 1.0099034735143217190955882671749
x2[1] (numeric) = 1.0099757534462636614678393432621
absolute error = 7.2279931941942372251076087185442e-05
relative error = 0.0071571129159917035025321842434825 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002563495502739374757894138291
x1[1] (numeric) = 2.0001740102012436487099995165427
absolute error = 8.2339349030288765789897286405618e-05
relative error = 0.0041164398277651496291204819718017 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.960e+04
Order of pole = 1.870e+08
TOP MAIN SOLVE Loop
memory used=2063.8MB, alloc=4.9MB, time=94.70
t[1] = 1.95
x2[1] (analytic) = 1.0099231720425819888475076435109
x2[1] (numeric) = 1.0099958661500859207295724958976
absolute error = 7.2694107503931882064852386737752e-05
relative error = 0.007197983917618917387886858543078 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000256093328855724429332077216
x1[1] (numeric) = 2.0001733806281342677457505717223
absolute error = 8.2712700721456683581505493642720e-05
relative error = 0.0041351055496001507378210698082646 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.963e+04
Order of pole = 1.871e+08
TOP MAIN SOLVE Loop
memory used=2067.6MB, alloc=4.9MB, time=94.87
t[1] = 1.951
x2[1] (analytic) = 1.0099429101354969420445567764649
x2[1] (numeric) = 1.0100160200653453684175755000973
absolute error = 7.3109929848426373018723632357075e-05
relative error = 0.0072390160983077476697572388813834 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002558373635308615797106192823
x1[1] (numeric) = 2.0001727504251368858907578721306
absolute error = 8.3086938393975688952747151681425e-05
relative error = 0.0041538155690868901299455835655942 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.966e+04
Order of pole = 1.873e+08
TOP MAIN SOLVE Loop
memory used=2071.4MB, alloc=4.9MB, time=95.04
t[1] = 1.952
x2[1] (analytic) = 1.0099626878721469593797667247885
x2[1] (numeric) = 1.0100362152754936071113788363749
absolute error = 7.3527403346647731612111586440525e-05
relative error = 0.0072802098760262023959191650411357 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002555816540433835807317459571
x1[1] (numeric) = 2.0001721195916213000951226445759
absolute error = 8.3462062422083485609101381229614e-05
relative error = 0.0041725699049452155094637564395631 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.969e+04
Order of pole = 1.875e+08
TOP MAIN SOLVE Loop
memory used=2075.2MB, alloc=4.9MB, time=95.22
memory used=2079.0MB, alloc=4.9MB, time=95.39
t[1] = 1.953
x2[1] (analytic) = 1.009982505331770868620537695559
x2[1] (numeric) = 1.0100564518641502563338368221977
absolute error = 7.3946532379387713299126638687721e-05
relative error = 0.0073215656696050285821985548456514 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002553262001375809236083335947
x1[1] (numeric) = 2.0001714881269566767906896320384
absolute error = 8.3838073180904132918701556302445e-05
relative error = 0.0041913685759392713269658059113189 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.972e+04
Order of pole = 1.877e+08
TOP MAIN SOLVE Loop
memory used=2082.8MB, alloc=4.9MB, time=95.57
t[1] = 1.954
x2[1] (analytic) = 1.0100023625937662616919105732315
x2[1] (numeric) = 1.0100767299151032898684694357558
absolute error = 7.4367321337028176558862524373954e-05
relative error = 0.0073630838987393049827421266000226 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002550710015579996812498988784
x1[1] (numeric) = 2.0001708560305115512602134729457
absolute error = 8.4214971046448421036425932695052e-05
relative error = 0.004210211600877517583011507571193 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.975e+04
Order of pole = 1.879e+08
TOP MAIN SOLVE Loop
memory used=2086.6MB, alloc=4.9MB, time=95.74
t[1] = 1.955
x2[1] (analytic) = 1.010022259737689812394767500037
x2[1] (numeric) = 1.0100970495123093737530615789568
absolute error = 7.4789774619561358294078919804034e-05
relative error = 0.0074047649839900371319845713593776 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002548160580494412528086504427
x1[1] (numeric) = 2.0001702233016538270058939313056
absolute error = 8.4592756395614246914719137094355e-05
relative error = 0.0042290989986127486757165398385468 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.978e+04
Order of pole = 1.881e+08
TOP MAIN SOLVE Loop
memory used=2090.5MB, alloc=4.9MB, time=95.92
t[1] = 1.956
x2[1] (analytic) = 1.0100421968432575947602325086807
x2[1] (numeric) = 1.010117410739894204950874596083
absolute error = 7.5213896636610190642087402332043e-05
relative error = 0.0074466093467857546590252736541003 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000254561369356962108480866758
x1[1] (numeric) = 2.0001695899397507751172793462303
absolute error = 8.4971429606186991201520527682814e-05
relative error = 0.0042480307880421122925951034398987 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.981e+04
Order of pole = 1.883e+08
TOP MAIN SOLVE Loop
memory used=2094.3MB, alloc=4.9MB, time=96.09
t[1] = 1.957
x2[1] (analytic) = 1.0100621739903454020415457529657
x2[1] (numeric) = 1.0101378136821528507008275778476
absolute error = 7.5639691807448659281824881878041e-05
relative error = 0.0074886174094241108751144651228807 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002543069352258735345633450827
x1[1] (numeric) = 2.0001689559441690336385376687585
absolute error = 8.5350991056839896025676324193893e-05
relative error = 0.0042670069881071283466778634520238 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.984e+04
Order of pole = 1.885e+08
TOP MAIN SOLVE Loop
memory used=2098.1MB, alloc=4.9MB, time=96.27
memory used=2101.9MB, alloc=4.9MB, time=96.44
t[1] = 1.958
x2[1] (analytic) = 1.0100821912589890663446874317377
x2[1] (numeric) = 1.0101582584235500885480086993068
absolute error = 7.6067164561022203321267569071868e-05
relative error = 0.0075307895950734846349354043761539 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000254052755401741378764666535
x1[1] (numeric) = 2.0001683213142746069350944532421
absolute error = 8.5731441127134443670213292862837e-05
relative error = 0.0042860276177937079569243056808287 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.987e+04
Order of pole = 1.886e+08
TOP MAIN SOLVE Loop
memory used=2105.7MB, alloc=4.9MB, time=96.61
t[1] = 1.959
x2[1] (analytic) = 1.0101022487293847788990300564154
x2[1] (numeric) = 1.0101787450487207470558795642581
absolute error = 7.6496319335968156849507842685580e-05
relative error = 0.0075731263277745844723558080324621 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002537988296303857957710225992
x1[1] (numeric) = 2.0001676860494328650596371699396
absolute error = 8.6112780197520736133852659578023e-05
relative error = 0.0043050926961321724729486431306344 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.990e+04
Order of pole = 1.888e+08
TOP MAIN SOLVE Loop
memory used=2109.5MB, alloc=4.9MB, time=96.79
t[1] = 1.96
x2[1] (analytic) = 1.0101223464818894109693002723608
x2[1] (numeric) = 1.0101992736424700472015382583774
absolute error = 7.6927160580636232237986016559703e-05
relative error = 0.0076156280324420550113083119352538 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.00025354515765788099306634863
x1[1] (numeric) = 2.0001670501490085431174852048172
absolute error = 8.6495008649337875581143812778403e-05
relative error = 0.0043242022421972725440784523220842 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 5.993e+04
Order of pole = 1.890e+08
TOP MAIN SOLVE Loop
memory used=2113.3MB, alloc=4.9MB, time=96.97
t[1] = 1.961
x2[1] (analytic) = 1.0101424845970208354101340094546
x2[1] (numeric) = 1.0102198442897739444554095484391
absolute error = 7.7359692753109045275538984466059e-05
relative error = 0.0076582951348660856524462177634253 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000253291739230554977006510176
x1[1] (numeric) = 2.0001664136123657406313249119297
absolute error = 8.6878126864814345681598246262471e-05
relative error = 0.0043433562751082072327652632402687 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.996e+04
Order of pole = 1.892e+08
TOP MAIN SOLVE Loop
memory used=2117.2MB, alloc=4.9MB, time=97.14
t[1] = 1.962
x2[1] (analytic) = 1.0101626631554582488645113074881
x2[1] (numeric) = 1.0102404570757794715467334055291
absolute error = 7.7793920321222682222098040964289e-05
relative error = 0.0077011280617140215362071782904629 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002530385740949892991472881963
x1[1] (numeric) = 2.0001657764388679209053090831152
absolute error = 8.7262135227068393838205081074451e-05
relative error = 0.0043625548140286431723663707378887 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 5.999e+04
Order of pole = 1.894e+08
TOP MAIN SOLVE Loop
memory used=2121.0MB, alloc=4.9MB, time=97.32
memory used=2124.8MB, alloc=4.9MB, time=97.49
t[1] = 1.963
x2[1] (analytic) = 1.0101828822380424946073597373778
x2[1] (numeric) = 1.0102611120858050819162257762158
absolute error = 7.8229847762587308866038837984517e-05
relative error = 0.0077441272405319767829037941184093 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002527856619980188028259094979
x1[1] (numeric) = 2.0001651386278779103885201991029
absolute error = 8.7647034120108414305710395015106e-05
relative error = 0.0043817978781667337693171792813746 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.002e+04
Order of pole = 1.896e+08
TOP MAIN SOLVE Loop
memory used=2128.6MB, alloc=4.9MB, time=97.67
t[1] = 1.964
x2[1] (analytic) = 1.010203141925776386035617919755
x2[1] (numeric) = 1.0102818094053409938572882771963
absolute error = 7.8667479564607821670357441290695e-05
relative error = 0.0077872930997464500104463355072201 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000252533002686731369995868976
x1[1] (numeric) = 2.000164500178757898037796825498
absolute error = 8.8032823928833332199043478088400e-05
relative error = 0.004401085486775138449713437010916 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.005e+04
Order of pole = 1.898e+08
TOP MAIN SOLVE Loop
memory used=2132.4MB, alloc=4.9MB, time=97.85
t[1] = 1.965
x2[1] (analytic) = 1.0102234422998250308060532281993
x2[1] (numeric) = 1.0103025491200495353471462459981
absolute error = 7.9106820224504541093017798834844e-05
relative error = 0.0078306260686659421302889646296911 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002522805959084676683147904916
x1[1] (numeric) = 2.0001638610908694346799225164693
absolute error = 8.8419505039032988392274022342283e-05
relative error = 0.0044204176591510419503227591883549 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.008e+04
Order of pole = 1.900e+08
TOP MAIN SOLVE Loop
memory used=2136.2MB, alloc=4.9MB, time=98.02
t[1] = 1.966
x2[1] (analytic) = 1.0102437834415161556221303552746
x2[1] (numeric) = 1.0103233313157654895692973428996
absolute error = 7.9547874249333947166987624990243e-05
relative error = 0.0078741265774825764221769158984121 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002520284414108208984850734737
x1[1] (numeric) = 2.0001632213635734323731765883286
absolute error = 8.8807077837388525308485145092864e-05
relative error = 0.0044397944146361736540448852299074 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.011e+04
Order of pole = 1.902e+08
TOP MAIN SOLVE Loop
memory used=2140.0MB, alloc=4.9MB, time=98.19
t[1] = 1.967
x2[1] (analytic) = 1.0102641654323404316712300156049
x2[1] (numeric) = 1.0103441560784964411286556673463
absolute error = 7.9990646156009457425651741441158e-05
relative error = 0.0079177950572737208882580946246494 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002517765389416365418470725883
x1[1] (numeric) = 2.0001625809962301637682461245529
absolute error = 8.9195542711472773600948035437134e-05
relative error = 0.0044592157726168269698401576637454 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.014e+04
Order of pole = 1.903e+08
TOP MAIN SOLVE Loop
memory used=2143.9MB, alloc=4.9MB, time=98.37
memory used=2147.7MB, alloc=4.9MB, time=98.55
t[1] = 1.968
x2[1] (analytic) = 1.0102845883539518007135196615017
x2[1] (numeric) = 1.0103650234944231229607791257995
absolute error = 8.0435140471322247259464297799357e-05
relative error = 0.0079616319400036128871084768692994 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002515248882490121082245580656
x1[1] (numeric) = 2.0001619399881992614684985731604
absolute error = 8.9584900049750639725984905261122e-05
relative error = 0.0044786817525238787571457555156379 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.017e+04
Order of pole = 1.905e+08
TOP MAIN SOLVE Loop
memory used=2151.5MB, alloc=4.9MB, time=98.72
t[1] = 1.969
x2[1] (analytic) = 1.0103050522881678018237806931388
x2[1] (numeric) = 1.0103859336498997639365705671623
absolute error = 8.0881361731962112789874023505668e-05
relative error = 0.008005637658524986048206535621819 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002512734890812968840222045321
x1[1] (numeric) = 2.0001612983388397173896142967145
absolute error = 8.9975150241579494407907817638722e-05
relative error = 0.0044981923738328087947992588091538 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.020e+04
Order of pole = 1.907e+08
TOP MAIN SOLVE Loop
memory used=2155.3MB, alloc=4.9MB, time=98.90
t[1] = 1.97
x2[1] (analytic) = 1.010325557316969898787499256969
x2[1] (numeric) = 1.0104068866314544371638459867069
absolute error = 8.1329314484538376346729737952385e-05
relative error = 0.0080498126465806994673776800821571 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002510223411870916805748564442
x1[1] (numeric) = 2.0001606560475098821185784345866
absolute error = 9.0366293677209561996421857592401e-05
relative error = 0.0045177476560637192944891650704209 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.023e+04
Order of pole = 1.909e+08
TOP MAIN SOLVE Loop
memory used=2159.1MB, alloc=4.9MB, time=99.07
t[1] = 1.971
x2[1] (analytic) = 1.0103461035225038081525303430095
x2[1] (numeric) = 1.0104278825257894089871658897782
absolute error = 8.1779003285600834635546768724529e-05
relative error = 0.0080941573388053691837153755101432 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000250771444315248582748318473
x1[1] (numeric) = 2.0001600131135674642720314364703
absolute error = 9.0758330747784310716882002651393e-05
relative error = 0.0045373476187813544587520229511516 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.026e+04
Order of pole = 1.911e+08
TOP MAIN SOLVE Loop
memory used=2162.9MB, alloc=4.9MB, time=99.25
t[1] = 1.972
x2[1] (analytic) = 1.0103666909870798279376475137879
x2[1] (numeric) = 1.010448921419781488687328702487
absolute error = 8.2230432701660749681188699101622e-05
relative error = 0.0081386721707270019384712105325742 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002505207982148706977914194415
x1[1] (numeric) = 2.000159369536369529853977625498
absolute error = 9.1151261845340843813793943496785e-05
relative error = 0.0045569922815951200835358923276301 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.029e+04
Order of pole = 1.913e+08
TOP MAIN SOLVE Loop
memory used=2166.7MB, alloc=4.9MB, time=99.42
memory used=2170.6MB, alloc=4.9MB, time=99.60
t[1] = 1.973
x2[1] (analytic) = 1.010387319793173166999293225161
x2[1] (numeric) = 1.0104700034004823788819279181472
absolute error = 8.2683607309211882634692986184813e-05
relative error = 0.0081833575787686312163916966455476 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002502704026353119044390986652
x1[1] (numeric) = 2.000158725315272501612851148667
absolute error = 9.1545087362810291587949998226902e-05
relative error = 0.0045766816641591032053498844976601 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.032e+04
Order of pole = 1.915e+08
TOP MAIN SOLVE Loop
memory used=2174.4MB, alloc=4.9MB, time=99.77
t[1] = 1.974
x2[1] (analytic) = 1.0104079900234242750578473318946
x2[1] (numeric) = 1.0104911285551190266283774753555
absolute error = 8.3138531694751570530143460916395e-05
relative error = 0.0082282140002499555699650206026761 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002500202573261766022662637995
x1[1] (numeric) = 2.0001580804496321583979386716421
absolute error = 9.1939807694018204327592157411567e-05
relative error = 0.004596415786172091793019580382122 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.035e+04
Order of pole = 1.917e+08
TOP MAIN SOLVE Loop
memory used=2178.2MB, alloc=4.9MB, time=99.95
t[1] = 1.975
x2[1] (analytic) = 1.0104287017606391733847340088427
x2[1] (numeric) = 1.0105122969710939752308126763842
absolute error = 8.3595210454801846078667541540858e-05
relative error = 0.0082732418733889792270263241220543 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002497703620373194612921695488
x1[1] (numeric) = 2.0001574349388036345151581743577
absolute error = 9.2335423233684946133995191131055e-05
relative error = 0.0046161946673775944840681689428465 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.038e+04
Order of pole = 1.919e+08
TOP MAIN SOLVE Loop
memory used=2182.0MB, alloc=4.9MB, time=100.12
t[1] = 1.976
x2[1] (analytic) = 1.0104494550877897861516899617908
x2[1] (numeric) = 1.0105335087359857167522767729542
absolute error = 8.4053648195930600586811163420957e-05
relative error = 0.0083184416373036549821553565587039 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002495207165188451718350668402
x1[1] (numeric) = 2.0001567887821414190821932031966
absolute error = 9.2731934377426089641863643615621e-05
relative error = 0.0046360183275638603657431923540064 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.041e+04
Order of pole = 1.921e+08
TOP MAIN SOLVE Loop
memory used=2185.8MB, alloc=4.9MB, time=100.30
t[1] = 1.977
x2[1] (analytic) = 1.0104702500880142724435194505524
x2[1] (numeric) = 1.0105547639375490452336061705037
absolute error = 8.4513849534772790086719951272530e-05
relative error = 0.0083638137320135293722855345562676 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002492713205211081946168723169
x1[1] (numeric) = 2.000156141978999355382981934881
absolute error = 9.3129341521752811634937435915543e-05
relative error = 0.0046558867865638988007088288102111 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.044e+04
Order of pole = 1.923e+08
TOP MAIN SOLVE Loop
memory used=2189.6MB, alloc=4.9MB, time=100.47
memory used=2193.5MB, alloc=4.9MB, time=100.64
t[1] = 1.978
x2[1] (analytic) = 1.0104910868446173589356643007281
x2[1] (numeric) = 1.0105760626637154106204300317636
absolute error = 8.4975819098051684765731035523120e-05
relative error = 0.0084093585984413901369285478926327 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002490221737947125111176082565
x1[1] (numeric) = 2.0001554945287306402215604065642
absolute error = 9.3527645064072289557201692240197e-05
relative error = 0.004675800064255499297423688220996 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.047e+04
Order of pole = 1.925e+08
TOP MAIN SOLVE Loop
memory used=2197.3MB, alloc=4.9MB, time=100.82
t[1] = 1.979
x2[1] (analytic) = 1.0105119654410706732379197396741
x2[1] (numeric) = 1.0105974050025932733997028958174
absolute error = 8.5439561522600161783156143338303e-05
relative error = 0.0084550766784149159634036724487085 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002487732760905113741793632679
x1[1] (numeric) = 2.0001548464306878232752592659667
absolute error = 9.3926845402688098920097301209084e-05
relative error = 0.0046957581805612514252241404284847 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.050e+04
Order of pole = 1.926e+08
TOP MAIN SOLVE Loop
memory used=2201.1MB, alloc=4.9MB, time=100.99
t[1] = 1.98
x2[1] (analytic) = 1.0105328859610130779056295566856
x2[1] (numeric) = 1.0106187910424684599471917698632
absolute error = 8.5905081455382041562213177604074e-05
relative error = 0.0085009684146683285174458891366363 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002485246271596070588595243716
x1[1] (numeric) = 2.0001541976842228064472533947524
absolute error = 9.4326942936800611606129619258441e-05
relative error = 0.0047157611554485647741332399926944 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.053e+04
Order of pole = 1.928e+08
TOP MAIN SOLVE Loop
memory used=2204.9MB, alloc=4.9MB, time=101.16
t[1] = 1.981
x2[1] (analytic) = 1.0105538484882510051196967571961
x2[1] (numeric) = 1.0106402208718045185873419976306
absolute error = 8.6372383553513467645240434512884e-05
relative error = 0.0085470342508440467595517614012393 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000248276226753350613533031315
x1[1] (numeric) = 2.0001535482886868432184637576951
absolute error = 9.4727938066507395069273619845370e-05
relative error = 0.0047358090089296889594153560173118 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.056e+04
Order of pole = 1.930e+08
TOP MAIN SOLVE Loop
memory used=2208.7MB, alloc=4.9MB, time=101.34
t[1] = 1.982
x2[1] (analytic) = 1.0105748531067587920367485559273
x2[1] (numeric) = 1.0106616945792430763669490608304
absolute error = 8.6841472484284330200504903085932e-05
relative error = 0.0085932746314943435474067932335982 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002480280746233416112434042267
x1[1] (numeric) = 2.0001528982434305379988108295379
absolute error = 9.5129831192803612432574688887872e-05
relative error = 0.0047559017610617336708966599378211 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.059e+04
Order of pole = 1.932e+08
TOP MAIN SOLVE Loop
memory used=2212.5MB, alloc=4.9MB, time=101.51
memory used=2216.3MB, alloc=4.9MB, time=101.69
t[1] = 1.983
x2[1] (analytic) = 1.0105958999006790168107972344248
x2[1] (numeric) = 1.0106832122536041965440663281635
absolute error = 8.7312352925179733269093738687152e-05
relative error = 0.0086396900020830045247226741844198 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002477801705214279013022959606
x1[1] (numeric) = 2.0001522475478038454778189507965
absolute error = 9.5532622717582423483345164074946e-05
relative error = 0.0047760394319466887670716686636676 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.062e+04
Order of pole = 1.934e+08
TOP MAIN SOLVE Loop
memory used=2220.2MB, alloc=4.9MB, time=101.86
t[1] = 1.984
x2[1] (analytic) = 1.0106169889543228352877410742687
x2[1] (numeric) = 1.0107047739838867367935816302767
absolute error = 8.7785029563901505840556008058687e-05
relative error = 0.008686280808986989296797417312618 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002475325141997053611373207274
x1[1] (numeric) = 2.0001515962011560699745709631141
absolute error = 9.5936313043635386566357613276688e-05
relative error = 0.0047962220417314444140160849567259 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.065e+04
Order of pole = 1.936e+08
TOP MAIN SOLVE Loop
memory used=2224.0MB, alloc=4.9MB, time=102.04
t[1] = 1.985
x2[1] (analytic) = 1.0106381203521703183740522684889
x2[1] (numeric) = 1.0107263798592687081308984086552
absolute error = 8.8259507098389756846140166348654e-05
relative error = 0.0087330474994980948930959100255997 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002472851054105176483879108639
x1[1] (numeric) = 2.0001509442028358647870124741186
absolute error = 9.6340902574652861375436745281174e-05
relative error = 0.0048164496106078112691262214397642 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.068e+04
Order of pole = 1.938e+08
TOP MAIN SOLVE Loop
memory used=2227.8MB, alloc=4.9MB, time=102.22
t[1] = 1.986
x2[1] (analytic) = 1.0106592941788707900810014103391
x2[1] (numeric) = 1.0107480299691076345551600617869
absolute error = 8.8735790236844474158651447726022e-05
relative error = 0.0087799905218246215171328260355854 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002470379439064559532489538345
x1[1] (numeric) = 2.0001502915521912315406051010901
absolute error = 9.6746391715224412643852744483599e-05
relative error = 0.004836722158812540709705339160886 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.071e+04
Order of pole = 1.940e+08
TOP MAIN SOLVE Loop
memory used=2231.6MB, alloc=4.9MB, time=102.39
t[1] = 1.987
x2[1] (analytic) = 1.0106805105192431662457708606056
x2[1] (numeric) = 1.0107697244029409134134589930368
absolute error = 8.9213883697747167688132431202512e-05
relative error = 0.0088271103250930405839241888434448 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002467910294403587510619618087
x1[1] (numeric) = 2.0001496382485695195363280420887
absolute error = 9.7152780870839214733919719954645e-05
relative error = 0.0048570397066273451064172761931454 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.074e+04
Order of pole = 1.942e+08
TOP MAIN SOLVE Loop
memory used=2235.4MB, alloc=4.9MB, time=102.56
memory used=2239.2MB, alloc=4.9MB, time=102.74
t[1] = 1.988
x2[1] (analytic) = 1.0107017694582762939308120020605
x2[1] (numeric) = 1.0107914632504861764874747515435
absolute error = 8.9693792209882556662749482926920e-05
relative error = 0.0088744073593496650452581329396115 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002465443617653115551535264053
x1[1] (numeric) = 2.0001489842913174250980273225468
absolute error = 9.7560070447886457126203858520247e-05
relative error = 0.0048774022743789181416277863227027 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.077e+04
Order of pole = 1.944e+08
TOP MAIN SOLVE Loop
memory used=2243.0MB, alloc=4.9MB, time=102.91
t[1] = 1.989
x2[1] (analytic) = 1.0107230710811292915028041025228
x2[1] (numeric) = 1.010813246601641651803988550099
absolute error = 9.0175520512360301184447576203949e-05
relative error = 0.0089218820755623220030195779513963 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002462979406346466699208114436
x1[1] (numeric) = 2.0001483296797809909191120646725
absolute error = 9.7968260853655750808746771094699e-05
relative error = 0.0048978098824389551726540524740643 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.080e+04
Order of pole = 1.946e+08
TOP MAIN SOLVE Loop
memory used=2246.9MB, alloc=4.9MB, time=103.09
t[1] = 1.99
x2[1] (analytic) = 1.0107444154731318893925752262717
x2[1] (numeric) = 1.0108350745464865261707243424233
absolute error = 9.0659073354636778149116151539790e-05
relative error = 0.0089695349256220276107876129372414 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002460517658019429441638367841
x1[1] (numeric) = 2.0001476744133056054085971263626
absolute error = 9.8377352496337535566710421524314e-05
relative error = 0.0049182625512241736399428841371788 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.083e+04
Order of pole = 1.948e+08
TOP MAIN SOLVE Loop
memory used=2250.7MB, alloc=4.9MB, time=103.27
t[1] = 1.991
x2[1] (analytic) = 1.0107658027197847715373483572865
x2[1] (numeric) = 1.0108569471752813084389695464884
absolute error = 9.1144455496536901621189201854072e-05
relative error = 0.0090173663623446642639083826000686 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002458058370210255246643065943
x1[1] (numeric) = 2.0001470184912360020364914556666
absolute error = 9.8787345785023488172850927620498e-05
relative error = 0.0049387603011963335201981526984726 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.086e+04
Order of pole = 1.950e+08
TOP MAIN SOLVE Loop
memory used=2254.5MB, alloc=4.9MB, time=103.44
t[1] = 1.992
x2[1] (analytic) = 1.0107872329067599175066786269605
x2[1] (numeric) = 1.0108788645784681934944314106138
absolute error = 9.1631671708275987752783653347444e-05
relative error = 0.0090653768394726600782301740318538 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002455601540459656100107356148
x1[1] (numeric) = 2.0001463619129162586785315061899
absolute error = 9.9198241129706931479229424890076e-05
relative error = 0.0049593031528622578244780632363671 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.089e+04
Order of pole = 1.952e+08
TOP MAIN SOLVE Loop
memory used=2258.3MB, alloc=4.9MB, time=103.62
memory used=2262.1MB, alloc=4.9MB, time=103.79
t[1] = 1.993
x2[1] (analytic) = 1.0108087061199009453134502735839
x2[1] (numeric) = 1.010900826846671426977787934945
absolute error = 9.2120726770481664337661361102703e-05
relative error = 0.0091135668116766706576712213769917 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002453147166310802046696272548
x1[1] (numeric) = 2.0001457046776897969602590581701
absolute error = 9.9610038941283244410569084707797e-05
relative error = 0.0049798911267738531412829060214433 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.093e+04
Order of pole = 1.954e+08
TOP MAIN SOLVE Loop
memory used=2265.9MB, alloc=4.9MB, time=103.97
t[1] = 1.994
x2[1] (analytic) = 1.0108302224452234549113047010045
x2[1] (numeric) = 1.0109228340706976707363951826555
absolute error = 9.2611625474215825090481651053029e-05
relative error = 0.0091619367345572631507744761790677 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002450695245309318733024575842
x1[1] (numeric) = 2.0001450467848993816004427893039
absolute error = 0.00010002273963155027285966828032223
relative error = 0.0050005242435281302246539756622759 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.096e+04
Order of pole = 1.956e+08
TOP MAIN SOLVE Loop
memory used=2269.7MB, alloc=4.9MB, time=104.14
t[1] = 1.995
x2[1] (analytic) = 1.0108517819689153723798737494767
x2[1] (numeric) = 1.0109448863415363690086157427939
absolute error = 9.3104372620996628741993317203029e-05
relative error = 0.0092104870646466025963872328195801 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002448245775003284953282195424
x1[1] (numeric) = 2.0001443882338871197538429387463
absolute error = 0.00010043634361320874148528079614243
relative error = 0.0050212025237672246273043905600757 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.099e+04
Order of pole = 1.958e+08
TOP MAIN SOLVE Loop
memory used=2273.6MB, alloc=4.9MB, time=104.31
t[1] = 1.996
x2[1] (analytic) = 1.0108733847773372947991950428117
x2[1] (numeric) = 1.0109669837503601153422360401374
absolute error = 9.3598973022820543040997325668010e-05
relative error = 0.0092592182594101405585870510322954 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002445798752943230197312819245
x1[1] (numeric) = 2.0001437290239944603533184070463
absolute error = 0.00010085085129986266641287487821995
relative error = 0.005041925988178417378802590078705 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.102e+04
Order of pole = 1.959e+08
TOP MAIN SOLVE Loop
memory used=2277.4MB, alloc=4.9MB, time=104.49
t[1] = 1.997
x2[1] (analytic) = 1.0108950309570228358146890325442
x2[1] (numeric) = 1.0109891263885250202484431267301
absolute error = 9.4095431502184433754094185936557e-05
relative error = 0.0093081307772483060509588806466962 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002443354176682132201143179534
x1[1] (numeric) = 2.0001430691545621934512756341267
absolute error = 0.00010126626310601976883868382671952
relative error = 0.0050626946574941557088293316014122 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.105e+04
Order of pole = 1.961e+08
TOP MAIN SOLVE Loop
memory used=2281.2MB, alloc=4.9MB, time=104.66
memory used=2285.0MB, alloc=4.9MB, time=104.83
t[1] = 1.998
x2[1] (analytic) = 1.0109167205946789718940801219594
x2[1] (numeric) = 1.0110113143475710795928345349849
absolute error = 9.4593752892107698754413025495029e-05
relative error = 0.009357225077498198750311667140912 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002440912043775414499960584905
x1[1] (numeric) = 2.000142408624930449560458596756
absolute error = 0.00010168257944709188953746173446368
relative error = 0.0050835085524920738155290544318053 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.108e+04
Order of pole = 1.963e+08
TOP MAIN SOLVE Loop
memory used=2288.8MB, alloc=4.9MB, time=105.01
t[1] = 1.999
x2[1] (analytic) = 1.0109384537771863892776470204778
x2[1] (numeric) = 1.0110335477192225437249377233252
absolute error = 9.5093942036154447290702847315416e-05
relative error = 0.0094065016204352844999059999301838 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002438472351780943983536251833
x1[1] (numeric) = 2.0001417474344386989940792663039
absolute error = 0.00010209980073939540427435887934136
relative error = 0.0051043676939950136789765223042026 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.111e+04
Order of pole = 1.965e+08
TOP MAIN SOLVE Loop
memory used=2292.6MB, alloc=4.9MB, time=105.18
t[1] = 2
x2[1] (analytic) = 1.0109602305915998316231902520891
x2[1] (numeric) = 1.0110558265953882873477186023505
absolute error = 9.5596003788455724528350261436949e-05
relative error = 0.0094559608672750931022475582420038 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.000243603509825902845409199091
x1[1] (numeric) = 2.0001410855824257512052878669085
absolute error = 0.00010251792740015164012133218249066
relative error = 0.0051252721028710459197797010975963 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.114e+04
Order of pole = 1.967e+08
TOP MAIN SOLVE Loop
memory used=2296.5MB, alloc=4.9MB, time=105.36
t[1] = 2.001
x2[1] (analytic) = 1.0109820511251484483471075202772
x2[1] (numeric) = 1.0110781510681621801285615924399
absolute error = 9.6099943013731781454072162705300e-05
relative error = 0.0095056032801749184014842115933243 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002433600280772414186607805762
x1[1] (numeric) = 2.0001404230682297541259822735275
absolute error = 0.00010293695984748729267850704870082
relative error = 0.0051462218000334907028398731980927 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.117e+04
Order of pole = 1.969e+08
TOP MAIN SOLVE Loop
memory used=2300.3MB, alloc=4.9MB, time=105.54
t[1] = 2.002
x2[1] (analytic) = 1.0110039154652361436629704161869
x2[1] (numeric) = 1.0111005212298234580532066325643
absolute error = 9.6605764587314390236216377410898e-05
relative error = 0.0095554293222355206554276429475104 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002431167896886283491567964924
x1[1] (numeric) = 2.000139759891188193504955888682
absolute error = 0.00010335689850043484420090781043014
relative error = 0.0051672168064409386862900348268901 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.120e+04
Order of pole = 1.971e+08
TOP MAIN SOLVE Loop
memory used=2304.1MB, alloc=4.9MB, time=105.71
memory used=2307.9MB, alloc=4.9MB, time=105.88
t[1] = 2.003
x2[1] (analytic) = 1.0110258236994419263189987466648
x2[1] (numeric) = 1.0111229371728370955241315348877
absolute error = 9.7113473395169205132788222831222e-05
relative error = 0.0096054394575028311972032822469155 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002428737944168252280143109422
x1[1] (numeric) = 2.00013909605063789224538333604
absolute error = 0.00010377774377893298263097490220495
relative error = 0.0051882571430972720156326675446682 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.123e+04
Order of pole = 1.973e+08
TOP MAIN SOLVE Loop
memory used=2311.7MB, alloc=4.9MB, time=106.06
t[1] = 2.004
x2[1] (analytic) = 1.0110477759155202600358315542831
x2[1] (numeric) = 1.0111453989898541782048710604994
absolute error = 9.7623074333918169039506216273600e-05
relative error = 0.0096556341509696593865151658481102 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002426310420188367631805961245
x1[1] (numeric) = 2.0001384315459150097416433083266
absolute error = 0.00010419949610382702153728779795191
relative error = 0.0052093428310516853630980200587355 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.126e+04
Order of pole = 1.975e+08
TOP MAIN SOLVE Loop
memory used=2315.5MB, alloc=4.9MB, time=106.24
t[1] = 2.005
x2[1] (analytic) = 1.0110697722014014146459967025124
x2[1] (numeric) = 1.0111679067737122766117670783473
absolute error = 9.8134572310861965770375834879349e-05
relative error = 0.0097060138685774018504950730869624 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002423885322519105364378200323
x1[1] (numeric) = 2.0001377663763550412154779063823
absolute error = 0.00010462215589686932095991365002139
relative error = 0.0052304738913987070122440813964511 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.129e+04
Order of pole = 1.977e+08
TOP MAIN SOLVE Loop
memory used=2319.3MB, alloc=4.9MB, time=106.41
t[1] = 2.006
x2[1] (analytic) = 1.0110918126451918179364837058914
x2[1] (numeric) = 1.0111904606174358204546471621563
absolute error = 9.8647972244002518163456264932849e-05
relative error = 0.0097565790772177540140879344251093 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002421462648735367606506080052
x1[1] (numeric) = 2.00013710054129281705148780553
absolute error = 0.00010504572358071970916280247528587
relative error = 0.0052516503452782199878194714673614 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.132e+04
Order of pole = 1.979e+08
TOP MAIN SOLVE Loop
memory used=2323.2MB, alloc=4.9MB, time=106.58
t[1] = 2.007
x2[1] (analytic) = 1.0111138973351744081958272973282
x2[1] (numeric) = 1.0112130606142364737279319788187
absolute error = 9.9163279062065532104681490467522e-05
relative error = 0.0098073302447344239199080560321328 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002419042396414480372562353854
x1[1] (numeric) = 2.0001364340400625021319625847447
absolute error = 0.00010547019957894590529365064074346
relative error = 0.0052728722138754832309105200171995 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.135e+04
Order of pole = 1.981e+08
TOP MAIN SOLVE Loop
memory used=2327.0MB, alloc=4.9MB, time=106.76
memory used=2330.8MB, alloc=4.9MB, time=106.94
t[1] = 2.008
x2[1] (analytic) = 1.0111360263598089874671120425931
x2[1] (numeric) = 1.0112357068575135105536748264494
absolute error = 9.9680497704523086562783856323510e-05
relative error = 0.0098582678399248483374831628922455 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002416624563136191139972087654
x1[1] (numeric) = 2.0001357668719975951710455534568
absolute error = 0.00010589558431602394295165530852533
relative error = 0.0052941395184211528193938499794377 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.138e+04
Order of pole = 1.983e+08
TOP MAIN SOLVE Loop
memory used=2334.6MB, alloc=4.9MB, time=107.11
t[1] = 2.009
x2[1] (analytic) = 1.0111581998077325755083111356255
x2[1] (numeric) = 1.0112583994408541917780396910268
absolute error = 0.00010019963312161626972855540123932
relative error = 0.0099093923325419111617856262429301 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002414209146482666428959935621
x1[1] (numeric) = 2.000135099036430928048232410154
absolute error = 0.00010632187821733859466358340809693
relative error = 0.0053154522801913032337158262545075 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.141e+04
Order of pole = 1.985e+08
TOP MAIN SOLVE Loop
memory used=2338.4MB, alloc=4.9MB, time=107.29
t[1] = 2.01
x2[1] (analytic) = 1.0111804177677597644613753374967
x2[1] (numeric) = 1.0112811384580341423227272072895
absolute error = 0.00010072069027437786135186979280365
relative error = 0.0099607041932956641009325110072065 %
Correct digits = 4
h = 0.001
x1[1] (analytic) = 2.0002411796144038489384716458907
x1[1] (numeric) = 2.0001344305326946651412030662789
absolute error = 0.00010674908170918379726857961175708
relative error = 0.0053368105205074486680202759931412 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.145e+04
Order of pole = 1.987e+08
TOP MAIN SOLVE Loop
memory used=2342.2MB, alloc=4.9MB, time=107.46
t[1] = 2.011
x2[1] (analytic) = 1.0112026803288830742314908567455
x2[1] (numeric) = 1.0113039240030177292928609323544
absolute error = 0.00010124367413465506137007560890725
relative error = 0.010012203893855049652918254521588 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000240938555339065736198106955
x1[1] (numeric) = 2.0001337613601203026579859682568
absolute error = 0.00010717719521876307821213869827857
relative error = 0.0053582142607365643866459315286003 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.148e+04
Order of pole = 1.989e+08
TOP MAIN SOLVE Loop
memory used=2346.0MB, alloc=4.9MB, time=107.63
t[1] = 2.012
x2[1] (analytic) = 1.0112249875802733085779278093669
x2[1] (numeric) = 1.0113267561699584408428493693674
absolute error = 0.00010176858968513226492156000047263
relative error = 0.010063891906849626371225868937945 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002406977372128579512039184134
x1[1] (numeric) = 2.0001330915180386679684542498147
absolute error = 0.00010760621917418998274966859869813
relative error = 0.0053796635222911081260150921928716 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.151e+04
Order of pole = 1.991e+08
TOP MAIN SOLVE Loop
memory used=2349.9MB, alloc=4.9MB, time=107.81
memory used=2353.7MB, alloc=4.9MB, time=107.98
t[1] = 2.013
x2[1] (analytic) = 1.0112473396112799119179037429692
x2[1] (numeric) = 1.0113496350531992658017422134077
absolute error = 0.0001022954419193538838384704384585
relative error = 0.010115768705871296419144545838128 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002404571597844074372131174187
x1[1] (numeric) = 2.0001324210057799189351530460909
absolute error = 0.00010803615400448850206007132785427
relative error = 0.0054011583266290415419350463642847 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.154e+04
Order of pole = 1.993e+08
TOP MAIN SOLVE Loop
memory used=2357.5MB, alloc=4.9MB, time=108.16
t[1] = 2.014
x2[1] (analytic) = 1.0112697365114313268448895615615
x2[1] (numeric) = 1.0113725607472730740596023328567
absolute error = 0.00010282423584174721471277129519305
relative error = 0.01016783476547603541260343249309 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002402168228131367457270702744
x1[1] (numeric) = 2.0001317498226735432434573003591
absolute error = 0.00010846700013959350226976991528976
relative error = 0.0054226986952538517023338402284716 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.157e+04
Order of pole = 1.995e+08
TOP MAIN SOLVE Loop
memory used=2361.3MB, alloc=4.9MB, time=108.33
t[1] = 2.015
x2[1] (analytic) = 1.0112921783704353523627880450792
x2[1] (numeric) = 1.0113955333469029977164180465159
absolute error = 0.0001033549764676453536300014367454
relative error = 0.010220090561185624551313144470213 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002399767260587088854470038874
x1[1] (numeric) = 2.0001310779680483577310593935278
absolute error = 0.00010889875801035115438761035958138
relative error = 0.0054442846497145726254520248912026 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.160e+04
Order of pole = 1.997e+08
TOP MAIN SOLVE Loop
memory used=2365.1MB, alloc=4.9MB, time=108.50
t[1] = 2.016
x2[1] (analytic) = 1.0113146652781795028374180211297
x2[1] (numeric) = 1.0114185529470028129950833099397
absolute error = 0.00010388766882331015766528881005891
relative error = 0.010272536569489385037988278589565 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002397368692810270819369944419
x1[1] (numeric) = 2.0001304054412325077167859259009
absolute error = 0.0001093314280485193651510685410347
relative error = 0.0054659162116058068635120586604235 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.163e+04
Order of pole = 1.999e+08
TOP MAIN SOLVE Loop
memory used=2368.9MB, alloc=4.9MB, time=108.68
t[1] = 2.017
x2[1] (analytic) = 1.0113371973247313676667401155408
x2[1] (numeric) = 1.0114416196426773229199764837376
absolute error = 0.00010442231794595525323636819670445
relative error = 0.010325173267845914785405793196818 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002394972522402345375271729547
x1[1] (numeric) = 2.0001297322415534663287429800157
absolute error = 0.00010976501068676820878419293898669
relative error = 0.0054875934025677471318870865158511 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.166e+04
Order of pole = 2.001e+08
TOP MAIN SOLVE Loop
memory used=2372.7MB, alloc=4.9MB, time=108.85
memory used=2376.6MB, alloc=4.9MB, time=109.03
t[1] = 2.018
x2[1] (analytic) = 1.0113597746003389716712628831438
x2[1] (numeric) = 1.0114647335292227407626714220189
absolute error = 0.0001049589288837690914085388751326
relative error = 0.010378001134684827411035629001661 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002392578746967141914569076178
x1[1] (numeric) = 2.0001290583683380338317891927061
absolute error = 0.00011019950635868035966771491169496
relative error = 0.0055093162442861979837908640077758 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.169e+04
Order of pole = 2.003e+08
TOP MAIN SOLVE Loop
memory used=2380.4MB, alloc=4.9MB, time=109.20
t[1] = 2.019
x2[1] (analytic) = 1.0113823971954311362060710008235
x2[1] (numeric) = 1.0114878947021270742563176907095
absolute error = 0.00010549750669593805024668988597341
relative error = 0.010431020649408493518961352968898 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002390187364110884802577230691
x1[1] (numeric) = 2.0001283838209123369543359638602
absolute error = 0.00011063491549875152592175920895984
relative error = 0.0055310847584925975305106380723439 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.172e+04
Order of pole = 2.005e+08
TOP MAIN SOLVE Loop
memory used=2384.2MB, alloc=4.9MB, time=109.38
t[1] = 2.02
x2[1] (analytic) = 1.01140506520061784099592009124
x2[1] (numeric) = 1.011511103257070510580229803171
absolute error = 0.00010603805645266958430971193102061
relative error = 0.010484232292393784268789919587172 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002387798371442190983757169765
x1[1] (numeric) = 2.0001277085986018282144741286763
absolute error = 0.000111071238542390883901588300226
relative error = 0.0055528989669640392072048425185671 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.175e+04
Order of pole = 2.007e+08
TOP MAIN SOLVE Loop
memory used=2388.0MB, alloc=4.9MB, time=109.56
t[1] = 2.021
x2[1] (analytic) = 1.0114277787066905866948456377705
x2[1] (numeric) = 1.0115343592899258021162284444273
absolute error = 0.0001065805832352154213828066568107
relative error = 0.010537636544993817231230857918809 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002385411766572067590332345552
x1[1] (numeric) = 2.0001270327007312852454264195413
absolute error = 0.00011150847592592151360681501394417
relative error = 0.0055747588915232935842875112326919 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.178e+04
Order of pole = 2.009e+08
TOP MAIN SOLVE Loop
memory used=2391.8MB, alloc=4.9MB, time=109.73
t[1] = 2.022
x2[1] (analytic) = 1.0114505378046227581717363491614
x2[1] (numeric) = 1.0115576628967586529782797453404
absolute error = 0.00010712509213589480654339617893664
relative error = 0.010591233889539704530006308793843 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002383027547113909553295618821
x1[1] (numeric) = 2.0001263561266248101203250429847
absolute error = 0.00011194662808658083500451889744185
relative error = 0.005596664554038830224421357458401 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.182e+04
Order of pole = 2.011e+08
TOP MAIN SOLVE Loop
memory used=2395.6MB, alloc=4.9MB, time=109.91
memory used=2399.4MB, alloc=4.9MB, time=110.08
t[1] = 2.023
x2[1] (analytic) = 1.0114733425855699885233252361173
x2[1] (numeric) = 1.0115810141738281063169817643115
absolute error = 0.00010767158825811779365652819419315
relative error = 0.010645024809342303269734353991448 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002380645710683497215803991066
x1[1] (numeric) = 2.0001256788756058286763136964861
absolute error = 0.00011238569546252104526670262045573
relative error = 0.0056186159764248395851415128466435 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.185e+04
Order of pole = 2.013e+08
TOP MAIN SOLVE Loop
memory used=2403.3MB, alloc=4.9MB, time=110.26
t[1] = 2.024
x2[1] (analytic) = 1.0114961931408705238160545716062
x2[1] (numeric) = 1.0116044132175869324004504365113
absolute error = 0.00010822007671640858439586490510782
relative error = 0.010699009788693968249408997891127 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002378266254898993948958748978
x1[1] (numeric) = 2.0001250009469970898379733492379
absolute error = 0.00011282567849280955692252565981868
relative error = 0.0056406131806412549671319653267642 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.188e+04
Order of pole = 2.015e+08
TOP MAIN SOLVE Loop
memory used=2407.1MB, alloc=4.9MB, time=110.44
t[1] = 2.025
x2[1] (analytic) = 1.0115190895620455885582738220398
x2[1] (numeric) = 1.011627860124682017473160359286
absolute error = 0.00010877056263642891488653724614515
relative error = 0.010753189312870306961080981511778 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000237588917738094376996863706
x1[1] (numeric) = 2.0001243223401206649400711102884
absolute error = 0.00011326657761742943692575341757148
relative error = 0.0056626561886937745081767802310519 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.191e+04
Order of pole = 2.017e+08
TOP MAIN SOLVE Loop
memory used=2410.9MB, alloc=4.9MB, time=110.61
t[1] = 2.026
x2[1] (analytic) = 1.0115420319407997519042325576988
x2[1] (numeric) = 1.0116513549919547533942988972524
absolute error = 0.00010932305115500149006633955365489
relative error = 0.010807563868131936873324328725738 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002373514475752268962693676548
x1[1] (numeric) = 2.0001236430542979470496315068148
absolute error = 0.00011370839327727984663786083998503
relative error = 0.0056847450226338832228082345079069 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.194e+04
Order of pole = 2.019e+08
TOP MAIN SOLVE Loop
memory used=2414.7MB, alloc=4.9MB, time=110.78
t[1] = 2.027
x2[1] (analytic) = 1.0115650203690212945913332778352
x2[1] (numeric) = 1.0116748979164414280571952116984
absolute error = 0.00010987754742013346586193386324941
relative error = 0.010862133941726244999054144372829 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002371142147638267700567251181
x1[1] (numeric) = 2.0001229630888496502873294945975
absolute error = 0.00011415112591417648272723052063331
relative error = 0.00570687970455887508767403928458 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.197e+04
Order of pole = 2.021e+08
TOP MAIN SOLVE Loop
memory used=2418.5MB, alloc=4.9MB, time=110.96
memory used=2422.3MB, alloc=4.9MB, time=111.13
t[1] = 2.028
x2[1] (analytic) = 1.0115880549387825766121120188082
x2[1] (numeric) = 1.0116984889953736165913889462577
absolute error = 0.00011043405659103997927692744951683
relative error = 0.010916900021889149747241703641146 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002368772190666611671894082744
x1[1] (numeric) = 2.0001222824430958091482045220876
absolute error = 0.00011459477597085201898488618675192
relative error = 0.0057290602566118751726458714888998 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.200e+04
Order of pole = 2.023e+08
TOP MAIN SOLVE Loop
memory used=2426.2MB, alloc=4.9MB, time=111.31
t[1] = 2.029
x2[1] (analytic) = 1.0116111357423404056224175523991
x2[1] (numeric) = 1.0117221283261785733489064344437
absolute error = 0.00011099258383816772648888204458825
relative error = 0.01097186259784686505805329106054 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002366404602467343707521721674
x1[1] (numeric) = 2.0001216011163557778216949687827
absolute error = 0.00011503934389095654905720338465248
relative error = 0.0057512867009818618176914807106374 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.203e+04
Order of pole = 2.025e+08
TOP MAIN SOLVE Loop
memory used=2430.0MB, alloc=4.9MB, time=111.49
t[1] = 2.03
x2[1] (analytic) = 1.011634262872136406087262926132
x2[1] (numeric) = 1.0117458160064796246763154345168
absolute error = 0.0001115531343432185890525083848608
relative error = 0.011027022159817666820919565404548 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002364039380672875410883180418
x1[1] (numeric) = 2.0001209191079482295109922779448
absolute error = 0.00011548483011905803009604009694063
relative error = 0.0057735590599036888555326829771847 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.206e+04
Order of pole = 2.027e+08
TOP MAIN SOLVE Loop
memory used=2433.8MB, alloc=4.9MB, time=111.66
t[1] = 2.031
x2[1] (analytic) = 1.0116574364207973891658260479941
x2[1] (numeric) = 1.011769552134096562474132543334
absolute error = 0.00011211571329917330830649533991745
relative error = 0.011082379199013661575022443348798 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000236167652291798479040833956
x1[1] (numeric) = 2.0001202364171911557517141030143
absolute error = 0.00011593123510064272732673094170492
relative error = 0.0057958773556581078801115986351101 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.209e+04
Order of pole = 2.029e+08
TOP MAIN SOLVE Loop
memory used=2437.6MB, alloc=4.9MB, time=111.84
t[1] = 2.032
x2[1] (analytic) = 1.0116806564811357233370789744334
x2[1] (numeric) = 1.0117933368070460385451605933086
absolute error = 0.0001126803259103152080816188751657
relative error = 0.011137934207642557491666609519742 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002359316026839813894301759156
x1[1] (numeric) = 2.0001195530434018657298957863939
absolute error = 0.00011637855928211565953438952170817
relative error = 0.0058182416105717905608875370689252 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.213e+04
Order of pole = 2.031e+08
TOP MAIN SOLVE Loop
memory used=2441.4MB, alloc=4.9MB, time=112.01
memory used=2445.2MB, alloc=4.9MB, time=112.19
t[1] = 2.033
x2[1] (analytic) = 1.0117039231461497057675285229034
x2[1] (numeric) = 1.0118171701235419597333364953942
absolute error = 0.00011324697739225396580797249072683
relative error = 0.011193687678909437637982773217081 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002356957890077866447684530027
x1[1] (numeric) = 2.0001188689858969855992994885928
absolute error = 0.00011682680311080104546896440992049
relative error = 0.0058406518470173510029869765511152 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.216e+04
Order of pole = 2.033e+08
TOP MAIN SOLVE Loop
memory used=2449.0MB, alloc=4.9MB, time=112.36
t[1] = 2.034
x2[1] (analytic) = 1.011727236509023934422553798558
x2[1] (numeric) = 1.0118410521819958838546731561224
absolute error = 0.00011381567297194943211935756443436
relative error = 0.011249640107018535521389702235701 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002354602110274005492097802177
x1[1] (numeric) = 2.0001181842439924577980402850412
absolute error = 0.00011727596703494275116949517648737
relative error = 0.0058631080874133681532291331031786 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.219e+04
Order of pole = 2.035e+08
TOP MAIN SOLVE Loop
memory used=2452.9MB, alloc=4.9MB, time=112.54
t[1] = 2.035
x2[1] (analytic) = 1.0117505966631296809228291989652
x2[1] (numeric) = 1.0118649830810174164218822681724
absolute error = 0.00011438641788773549905306920723567
relative error = 0.011305791987175012914221871476487 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000235224868507245102736562982
x1[1] (numeric) = 2.0001174988170035403645285472005
absolute error = 0.00011772605150370473820801578142598
relative error = 0.0058856103542244082520496578561457 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.222e+04
Order of pole = 2.037e+08
TOP MAIN SOLVE Loop
memory used=2456.7MB, alloc=4.9MB, time=112.71
t[1] = 2.036
x2[1] (analytic) = 1.0117740037020252641473244409385
x2[1] (numeric) = 1.0118889629194146081642679517542
absolute error = 0.00011495921738934401694351081562503
relative error = 0.01136214381558673995790926804744 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000234989761211977765581477489
x1[1] (numeric) = 2.000116812704244806252727923912
absolute error = 0.0001181770569671715128535535769905
relative error = 0.005908158669961047331345048030843 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.225e+04
Order of pole = 2.039e+08
TOP MAIN SOLVE Loop
memory used=2460.5MB, alloc=4.9MB, time=112.89
t[1] = 2.037
x2[1] (analytic) = 1.0117974577194564245843761397704
x2[1] (numeric) = 1.0119129917961943533444844082491
absolute error = 0.00011553407673792876010826847876454
relative error = 0.011418696089466077546075494943524 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000234754888906491222884911325
x1[1] (numeric) = 2.0001161259050301426467282382413
absolute error = 0.00011862898387634857615667308374291
relative error = 0.0059307530571798937582604023130792 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.228e+04
Order of pole = 2.042e+08
TOP MAIN SOLVE Loop
memory used=2464.3MB, alloc=4.9MB, time=113.06
memory used=2468.1MB, alloc=4.9MB, time=113.24
t[1] = 2.038
x2[1] (analytic) = 1.0118209588093566994323284633266
x2[1] (numeric) = 1.0119370698105627888737539380951
absolute error = 0.00011611100120608944142547476846532
relative error = 0.011475449307031661985899811780978 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002345202513559131495876290171
x1[1] (numeric) = 2.0001154384186727502746326143922
absolute error = 0.00011908183268316287495501462491056
relative error = 0.0059533935384836108249431970770047 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.231e+04
Order of pole = 2.044e+08
TOP MAIN SOLVE Loop
memory used=2471.9MB, alloc=4.9MB, time=113.42
t[1] = 2.039
x2[1] (analytic) = 1.0118445070658477984512433816175
x2[1] (numeric) = 1.0119611970619256942271448718265
absolute error = 0.00011668999607789577590149020900289
relative error = 0.011532403967510191937068143074079 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002342858483256059755584274014
x1[1] (numeric) = 2.0001147502444851427217581485768
absolute error = 0.00011953560384046325380027882460658
relative error = 0.0059760801365209393842858056111694 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.234e+04
Order of pole = 2.046e+08
TOP MAIN SOLVE Loop
memory used=2475.7MB, alloc=4.9MB, time=113.59
t[1] = 2.04
x2[1] (analytic) = 1.0118681025832399805671840366238
x2[1] (numeric) = 1.0119853736498888921605121665154
absolute error = 0.00011727106664891159332812989162482
relative error = 0.011589560571138217627617371803149 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002340516795811666509565459387
x1[1] (numeric) = 2.0001140613817791457431494370418
absolute error = 0.00011999029780202090780710889693555
relative error = 0.0059988128739867205316795282263381 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.237e+04
Order of pole = 2.048e+08
TOP MAIN SOLVE Loop
memory used=2479.6MB, alloc=4.9MB, time=113.77
t[1] = 2.041
x2[1] (analytic) = 1.0118917454560324312305777673322
x2[1] (numeric) = 1.0120095996742586502307066295986
absolute error = 0.00011785421822621900012886226637661
relative error = 0.011646919619163932345956418154523 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.00023381774488842641182859734
x1[1] (numeric) = 2.0001133718298658965754042737651
absolute error = 0.00012044591502252983642432357490417
relative error = 0.0060215917736219183328029468719408 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.241e+04
Order of pole = 2.050e+08
TOP MAIN SOLVE Loop
memory used=2483.4MB, alloc=4.9MB, time=113.94
t[1] = 2.042
x2[1] (analytic) = 1.0119154357789136405301683411376
x2[1] (numeric) = 1.0120338752350420831206619482499
absolute error = 0.00011843945612844259049360711232384
relative error = 0.01170448161384896620832667993816 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002335840440134505459397840992
x1[1] (numeric) = 2.0001126815880558432478108296488
absolute error = 0.00012090245595760729812895445040792
relative error = 0.0060444168582136425974674636592004 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.244e+04
Order of pole = 2.052e+08
TOP MAIN SOLVE Loop
memory used=2487.2MB, alloc=4.9MB, time=114.12
memory used=2491.0MB, alloc=4.9MB, time=114.29
t[1] = 2.043
x2[1] (analytic) = 1.0119391736467617820640699650085
x2[1] (numeric) = 1.0120582004324475557709719250657
absolute error = 0.00011902678568577370690196005718884
relative error = 0.011762247058470182200943381927245 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002333505767225381588391667636
x1[1] (numeric) = 2.0001119906556587438927956243442
absolute error = 0.00012135992106379426604354241936877
relative error = 0.0060672881505951716995429284835272 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.247e+04
Order of pole = 2.054e+08
TOP MAIN SOLVE Loop
memory used=2494.8MB, alloc=4.9MB, time=114.46
t[1] = 2.044
x2[1] (analytic) = 1.0119629591546450925694386781057
x2[1] (numeric) = 1.0120825753668850873195735498954
absolute error = 0.00011961621223999475013487178965234
relative error = 0.011820216457321474496038245836465 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002331173427822219401587500081
x1[1] (numeric) = 2.0001112990319836660556816011587
absolute error = 0.00012181831079855588447714884935845
relative error = 0.0060902056736459754429863067567435 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.250e+04
Order of pole = 2.056e+08
TOP MAIN SOLVE Loop
memory used=2498.6MB, alloc=4.9MB, time=114.64
t[1] = 2.045
x2[1] (analytic) = 1.0119867923978222523122797618952
x2[1] (numeric) = 1.0121070001389667558511547731781
absolute error = 0.00012020774114450353887501128290177
relative error = 0.011878390315715569041002650480575 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002328843419592679301461528113
x1[1] (numeric) = 2.0001106067163389860037556148006
absolute error = 0.00012227762562028192639053801075642
relative error = 0.0061131694502917379739963841011552 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.253e+04
Order of pole = 2.058e+08
TOP MAIN SOLVE Loop
memory used=2502.4MB, alloc=4.9MB, time=114.82
t[1] = 2.046
x2[1] (analytic) = 1.0120106734717427662389128442265
x2[1] (numeric) = 1.0121314748495071039579090881537
absolute error = 0.00012080137776433771899624392724573
relative error = 0.011936769139985826419809102450432 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002326515740206752864306292673
x1[1] (numeric) = 2.0001099137080323880346446410307
absolute error = 0.0001227378659882872517859882366632
relative error = 0.0061361795035043807393175507224505 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.256e+04
Order of pole = 2.060e+08
TOP MAIN SOLVE Loop
memory used=2506.3MB, alloc=4.9MB, time=114.99
t[1] = 2.047
x2[1] (analytic) = 1.012034602472047345890619420362
x2[1] (numeric) = 1.0121559995995235451132622778156
absolute error = 0.00012139712747619922264285745356801
relative error = 0.011995353437488046985867381026912 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000232419038733676051022206798
x1[1] (numeric) = 2.0001092200063708637840000165965
absolute error = 0.0001231990323628122670221902014183
relative error = 0.006159235856302085490715754066943 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.259e+04
Order of pole = 2.062e+08
TOP MAIN SOLVE Loop
memory used=2510.1MB, alloc=4.9MB, time=115.17
memory used=2513.9MB, alloc=4.9MB, time=115.34
t[1] = 2.048
x2[1] (analytic) = 1.0120585794945682920830005665571
x2[1] (numeric) = 1.012180574490236770860199937476
absolute error = 0.00012199499566847877719937091887594
relative error = 0.012054143716602278265450156640293 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002321867358657349175437087656
x1[1] (numeric) = 2.0001085256106607115324890171329
absolute error = 0.00012366112520502338505469163265934
relative error = 0.0061823385317493173356497542808119 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.262e+04
Order of pole = 2.064e+08
TOP MAIN SOLVE Loop
memory used=2517.7MB, alloc=4.9MB, time=115.52
t[1] = 2.049
x2[1] (analytic) = 1.0120826046353298783515756805158
x2[1] (numeric) = 1.0122051996230711588158276453368
absolute error = 0.00012259498774128046425196482101931
relative error = 0.012113140486734624630801209588878 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000231954665184548998695428718
x1[1] (numeric) = 2.0001078305202075355120930800206
absolute error = 0.0001241241449770134866023486974055
relative error = 0.006205487552956847834160862924788 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.266e+04
Order of pole = 2.066e+08
TOP MAIN SOLVE Loop
memory used=2521.5MB, alloc=4.9MB, time=115.69
t[1] = 2.05
x2[1] (analytic) = 1.0121066779905487351651561478966
x2[1] (numeric) = 1.0122298750996551814937989215093
absolute error = 0.00012319710910644632864277361263206
relative error = 0.01217234425831905924201759457028 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002317228264580475939522237301
x1[1] (numeric) = 2.0001071347343162452117119785015
absolute error = 0.00012458809214180238224024522865505
relative error = 0.0062286829430817781420043913572246 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.269e+04
Order of pole = 2.068e+08
TOP MAIN SOLVE Loop
memory used=2525.3MB, alloc=4.9MB, time=115.87
t[1] = 2.051
x2[1] (analytic) = 1.0121307996566342349085309050265
x2[1] (numeric) = 1.0122546010218218159462493905218
absolute error = 0.00012380136518758103771848549529567
relative error = 0.012231755542819238256775206465173 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002314912194543919574927945397
x1[1] (numeric) = 2.0001064382522910546820732526542
absolute error = 0.00012505296716333727541954188545462
relative error = 0.006251924725327562200046081181726 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.272e+04
Order of pole = 2.070e+08
TOP MAIN SOLVE Loop
memory used=2529.2MB, alloc=4.9MB, time=116.04
t[1] = 2.052
x2[1] (analytic) = 1.0121549697301888776360039451138
x2[1] (numeric) = 1.0122793774916089542268788435084
absolute error = 0.000124407761420076590874898394658
relative error = 0.012291374852730317306945203358854 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002312598439419750663609204058
x1[1] (numeric) = 2.0001057410734354818399462021395
absolute error = 0.00012551877050649322641471826632817
relative error = 0.0062752129229440299699468351625293 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.275e+04
Order of pole = 2.072e+08
TOP MAIN SOLVE Loop
memory used=2533.0MB, alloc=4.9MB, time=116.22
memory used=2536.8MB, alloc=4.9MB, time=116.40
t[1] = 2.053
x2[1] (analytic) = 1.0121791883080086775973268985444
x2[1] (numeric) = 1.012304204611259814676826183991
absolute error = 0.00012501630325113707949928544658405
relative error = 0.012351202701580770241126633602316 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002310286996894213888584168526
x1[1] (numeric) = 2.0001050431970523477716597449292
absolute error = 0.00012598550263707361719867192334618
relative error = 0.00629854755922741071615911304169 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.278e+04
Order of pole = 2.074e+08
TOP MAIN SOLVE Loop
memory used=2540.6MB, alloc=4.9MB, time=116.57
t[1] = 2.054
x2[1] (analytic) = 1.0122034554870835505375729073104
x2[1] (numeric) = 1.0123290824832233540349855354745
absolute error = 0.00012562699613980349741262816418582
relative error = 0.012411239603934210132098394412002 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002307977864655866531695846893
x1[1] (numeric) = 2.0001043446224437760359234455373
absolute error = 0.00012645316402181061724613915197306
relative error = 0.0063219286575203563342584027468538 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.281e+04
Order of pole = 2.077e+08
TOP MAIN SOLVE Loop
memory used=2544.4MB, alloc=4.9MB, time=116.74
t[1] = 2.055
x2[1] (analytic) = 1.0122277713645977017725011092701
x2[1] (numeric) = 1.0123540112101546803744150899767
absolute error = 0.0001262398455569786019139807066014
relative error = 0.012471486075391212548171319695979 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002305671040395576162169189328
x1[1] (numeric) = 2.0001036453489111919659510155726
absolute error = 0.00012692175512836565026590336015211
relative error = 0.006345356241211964725633223557055 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.284e+04
Order of pole = 2.079e+08
TOP MAIN SOLVE Loop
memory used=2548.2MB, alloc=4.9MB, time=116.92
t[1] = 2.056
x2[1] (analytic) = 1.0122521360379300150409641497883
x2[1] (numeric) = 1.0123789908949154668664935841218
absolute error = 0.00012685485698545182552943433349037
relative error = 0.012531942632591141087398754082338 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002303366521806518327478464872
x1[1] (numeric) = 2.0001029453757553219708855887383
absolute error = 0.00012739127642532986186225774887563
relative error = 0.0063688303337378032185571638966042 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.288e+04
Order of pole = 2.081e+08
TOP MAIN SOLVE Loop
memory used=2552.0MB, alloc=4.9MB, time=117.09
t[1] = 2.057
x2[1] (analytic) = 1.0122765496046544421359142463606
x2[1] (numeric) = 1.0124040216405743663744826035658
absolute error = 0.00012747203591992423856835720521229
relative error = 0.012592609793213975173581418121232 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002301064306584174246522616678
x1[1] (numeric) = 2.0001022447022761928365260717021
absolute error = 0.00012786172838222458812618996574147
relative error = 0.0063923509585799320356665025537637 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.291e+04
Order of pole = 2.083e+08
TOP MAIN SOLVE Loop
memory used=2555.9MB, alloc=4.9MB, time=117.27
memory used=2559.7MB, alloc=4.9MB, time=117.45
t[1] = 2.058
x2[1] (analytic) = 1.0123010121625403933155664461084
x2[1] (numeric) = 1.0124291035504074268781562372868
absolute error = 0.00012809138786703356258979117838285
relative error = 0.012653488075982140112979705941781 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002298764392426328505106288867
x1[1] (numeric) = 2.000101543327773131025353871564
absolute error = 0.00012833311146950182515675732272007
relative error = 0.0064159181392669278078670082716093 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.294e+04
Order of pole = 2.085e+08
TOP MAIN SOLVE Loop
memory used=2563.5MB, alloc=4.9MB, time=117.62
t[1] = 2.059
x2[1] (analytic) = 1.0123255238095531284962808365422
x2[1] (numeric) = 1.012454236727898507731162930693
absolute error = 0.00012871291834537923488209415078813
relative error = 0.012714578000662339410623780875172 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000229646677703306675372422048
x1[1] (numeric) = 2.0001008412515447619758592999484
absolute error = 0.00012880542615854469951312209954602
relative error = 0.0064395318993739071346935588332679 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.297e+04
Order of pole = 2.087e+08
TOP MAIN SOLVE Loop
memory used=2567.3MB, alloc=4.9MB, time=117.79
t[1] = 2.06
x2[1] (analytic) = 1.0123500846438541492287285967562
x2[1] (numeric) = 1.0124794212767396967527877205856
absolute error = 0.00012933663288554752405912382931296
relative error = 0.012775880088067389345088946310585 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002294171458106773407646704313
x1[1] (numeric) = 2.0001001384728890094011669530465
absolute error = 0.00012927867292166793959771738480889
relative error = 0.0064631922625225501911462669626754 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.300e+04
Order of pole = 2.089e+08
TOP MAIN SOLVE Loop
memory used=2571.1MB, alloc=4.9MB, time=117.97
t[1] = 2.061
x2[1] (analytic) = 1.0123746947638015914589099092365
x2[1] (numeric) = 1.0125046573008317281557863757669
absolute error = 0.00012996253703013669687646653043566
relative error = 0.01283739486005805580058076793517 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002291878433352129349303810723
x1[1] (numeric) = 2.0000994349911030945869593662343
absolute error = 0.00012975285223211834797101483794834
relative error = 0.006486899252381124381026846585134 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.303e+04
Order of pole = 2.091e+08
TOP MAIN SOLVE Loop
memory used=2574.9MB, alloc=4.9MB, time=118.14
t[1] = 2.062
x2[1] (analytic) = 1.0123993542679506190755948917575
x2[1] (numeric) = 1.0125299449042844013119663145332
absolute error = 0.0001305906363337822363714227757942
relative error = 0.012899122839544893355151309126375 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002289587700476109632966078776
x1[1] (numeric) = 2.0000987308054835356886982411907
absolute error = 0.00013022796456407527459836668696064
relative error = 0.0065106528926645080367989992393303 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.306e+04
Order of pole = 2.093e+08
TOP MAIN SOLVE Loop
memory used=2578.7MB, alloc=4.9MB, time=118.32
memory used=2582.6MB, alloc=4.9MB, time=118.49
t[1] = 2.063
x2[1] (analytic) = 1.0124240632550538182457618544233
x2[1] (numeric) = 1.0125552841914170003571925244395
absolute error = 0.00013122093636318211143067001617265
relative error = 0.01296106455049008662384461321666 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002287299257187981191719379438
x1[1] (numeric) = 2.0000980259153261470281425427351
absolute error = 0.00013070401039265109102939520869801
relative error = 0.0065344532071342141659966467041396 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.310e+04
Order of pole = 2.095e+08
TOP MAIN SOLVE Loop
memory used=2586.4MB, alloc=4.9MB, time=118.67
t[1] = 2.064
x2[1] (analytic) = 1.0124488218240615925396103387829
x2[1] (numeric) = 1.0125806752667587146375000705897
absolute error = 0.00013185344269712209788973180683035
relative error = 0.013023220517909293855546224238355 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000228501310119930054673165776
x1[1] (numeric) = 2.0000973203199260383891627619048
absolute error = 0.0001311809901938916655104038711899
relative error = 0.0065583002195984142442038821995329 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.313e+04
Order of pole = 2.097e+08
TOP MAIN SOLVE Loop
memory used=2590.2MB, alloc=4.9MB, time=118.84
t[1] = 2.065
x2[1] (analytic) = 1.0124736300741225588467295541344
x2[1] (numeric) = 1.0126061182350490599979981463007
absolute error = 0.00013248816092650115126859216623767
relative error = 0.013085591267873492782288081180463 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002282729230223911518809263347
x1[1] (numeric) = 2.0000966140185776143128506410842
absolute error = 0.00013165890444477683903028525043676
relative error = 0.0065821939539119620546305588412738 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.316e+04
Order of pole = 2.099e+08
TOP MAIN SOLVE Loop
memory used=2594.0MB, alloc=4.9MB, time=119.02
t[1] = 2.066
x2[1] (analytic) = 1.0124984881045839440850059906438
x2[1] (numeric) = 1.0126316132012383009162539943236
absolute error = 0.0001331250966543568312480036798338
relative error = 0.013148177327510828719736549349076 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000228044764197794294224058065
x1[1] (numeric) = 2.0000959070105745733919236562974
absolute error = 0.00013213775362322090230040176762404
relative error = 0.0066061344339764175743074803738767 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.319e+04
Order of pole = 2.102e+08
TOP MAIN SOLVE Loop
memory used=2597.8MB, alloc=4.9MB, time=119.19
t[1] = 2.067
x2[1] (analytic) = 1.0125233960149919827038571597434
x2[1] (numeric) = 1.0126571602704878734818484079046
absolute error = 0.00013376425549589077799124816122462
relative error = 0.013210979225008464917567665717254 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002278168334179806380924672933
x1[1] (numeric) = 2.0000951992952099075644235510667
absolute error = 0.00013261753820807307366891622667682
relative error = 0.0066301216837400709069252055755549 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.322e+04
Order of pole = 2.104e+08
TOP MAIN SOLVE Loop
memory used=2601.6MB, alloc=4.9MB, time=119.37
memory used=2605.4MB, alloc=4.9MB, time=119.55
t[1] = 2.068
x2[1] (analytic) = 1.0125483539050923149833815894711
x2[1] (numeric) = 1.0126827595481708092237979088273
absolute error = 0.00013440564307849424041631935613844
relative error = 0.013273997489614435158409872776262 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002275891304550193846782656037
x1[1] (numeric) = 2.0000944908717759014067082155372
absolute error = 0.0001330982586791179779700500665255
relative error = 0.0066541557271979662623405241226473 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.325e+04
Order of pole = 2.106e+08
TOP MAIN SOLVE Loop
memory used=2609.3MB, alloc=4.9MB, time=119.72
t[1] = 2.069
x2[1] (analytic) = 1.0125733618748303861310183859582
x2[1] (numeric) = 1.0127084111398721597875420942285
absolute error = 0.0001350492650417736565237082702988
relative error = 0.013337232651639498604010596954782 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000227361655081207552044952036
x1[1] (numeric) = 2.0000937817395641314257362038586
absolute error = 0.00013357991551707612630874817738059
relative error = 0.006678236588391925982774708119336 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.329e+04
Order of pole = 2.108e+08
TOP MAIN SOLVE Loop
memory used=2613.1MB, alloc=4.9MB, time=119.90
t[1] = 2.07
x2[1] (analytic) = 1.0125984200243518461773128622039
x2[1] (numeric) = 1.0127341151513894224631980454259
absolute error = 0.00013569512703757628588518322200517
relative error = 0.013400685242458996887258992751707 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000227134407069069747424412174
x1[1] (numeric) = 2.0000930718978654653506431821083
absolute error = 0.0001340625092036043967812300657216
relative error = 0.006702364291410574615727689941385 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.332e+04
Order of pole = 2.110e+08
TOP MAIN SOLVE Loop
memory used=2616.9MB, alloc=4.9MB, time=120.07
t[1] = 2.071
x2[1] (analytic) = 1.0126235284540029506723879315822
x2[1] (numeric) = 1.0127598716887329665667871002467
absolute error = 0.00013634323473001589439916866448303
relative error = 0.013464355794514713448673021926309 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002269073861913579397415064212
x1[1] (numeric) = 2.0000923613459700614236095983326
absolute error = 0.000134546040221296516131908088591
relative error = 0.0067265388603893630336323635102027 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.335e+04
Order of pole = 2.112e+08
TOP MAIN SOLVE Loop
memory used=2620.7MB, alloc=4.9MB, time=120.25
t[1] = 2.072
x2[1] (analytic) = 1.0126486872643309621847241662402
x2[1] (numeric) = 1.012785680858126460676142705433
absolute error = 0.0001369935937954984914185391928264
relative error = 0.013528244841316735115934768000879 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002266805922210512323660199881
x1[1] (numeric) = 2.0000916500831673676900188655739
absolute error = 0.00013503050905368354234715441415182
relative error = 0.0067507603195105926002732526057882 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.338e+04
Order of pole = 2.114e+08
TOP MAIN SOLVE Loop
memory used=2624.5MB, alloc=4.9MB, time=120.42
memory used=2628.3MB, alloc=4.9MB, time=120.59
t[1] = 2.073
x2[1] (analytic) = 1.0126738965560845526038546296656
x2[1] (numeric) = 1.0128115427660073007232114876121
absolute error = 0.00013764620992274811935685794645964
relative error = 0.013592352917445315925033499548255 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002264540249313556360917473435
x1[1] (numeric) = 2.0000909381087461212879053480412
absolute error = 0.00013551591618523434818639930231602
relative error = 0.0067750286930034393839938363441241 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.341e+04
Order of pole = 2.116e+08
TOP MAIN SOLVE Loop
memory used=2632.2MB, alloc=4.9MB, time=120.77
t[1] = 2.074
x2[1] (analytic) = 1.0126991564302142062485838082516
x2[1] (numeric) = 1.012837457519027038944463110093
absolute error = 0.00013830108881283269587930184134814
relative error = 0.013656680558552743181551490852156 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002262276840957038423424841093
x1[1] (numeric) = 2.0000902254219943477366914398727
absolute error = 0.00013600226210135610565104423658215
relative error = 0.006799344005143978417716868486358 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.344e+04
Order of pole = 2.118e+08
TOP MAIN SOLVE Loop
memory used=2636.0MB, alloc=4.9MB, time=120.94
t[1] = 2.075
x2[1] (analytic) = 1.0127244669878726237823431886681
x2[1] (numeric) = 1.0128634252240518136911279183857
absolute error = 0.00013895823617918990878472971754258
relative error = 0.013721228301365205760602985133039 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002260015694877549966046996031
x1[1] (numeric) = 2.0000895120221993602252130252271
absolute error = 0.00013648954728839477139167437603582
relative error = 0.0068237062802552080058020738137287 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.348e+04
Order of pole = 2.121e+08
TOP MAIN SOLVE Loop
memory used=2639.8MB, alloc=4.9MB, time=121.12
t[1] = 2.076
x2[1] (analytic) = 1.0127498283304151269372992562843
x2[1] (numeric) = 1.0128894459881627801009848198522
absolute error = 0.00013961765774765316368556356790981
relative error = 0.013785996683684664643911943216484 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002257756808813944720866634634
x1[1] (numeric) = 2.0000887979086477588990326077286
absolute error = 0.00013697777223363557305405573476599
relative error = 0.0068481155427070740777656513936783 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.351e+04
Order of pole = 2.123e+08
TOP MAIN SOLVE Loop
memory used=2643.6MB, alloc=4.9MB, time=121.30
t[1] = 2.077
x2[1] (analytic) = 1.0127752405594000640488329247846
x2[1] (numeric) = 1.0129155199186565416334252923085
absolute error = 0.00014027935925647758459236752394188
relative error = 0.013850986244390725692489358874273 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002255500180507336436038000146
x1[1] (numeric) = 2.0000880830806254301470393965798
absolute error = 0.00013746693742530349656440343473457
relative error = 0.0068725718169164945888860611789988 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.354e+04
Order of pole = 2.125e+08
TOP MAIN SOLVE Loop
memory used=2647.4MB, alloc=4.9MB, time=121.47
memory used=2651.2MB, alloc=4.9MB, time=121.64
t[1] = 2.078
x2[1] (analytic) = 1.012800703776589216402012648494
x2[1] (numeric) = 1.0129416471230455824695228727092
absolute error = 0.00014094334645636606751022421520689
relative error = 0.013916197523442514653345940678729 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002253245807701096616900442585
x1[1] (numeric) = 2.0000873675374175458873356359411
absolute error = 0.00013795704335256377435440831740845
relative error = 0.0068970751273473839677206170232339 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.357e+04
Order of pole = 2.127e+08
TOP MAIN SOLVE Loop
memory used=2655.0MB, alloc=4.9MB, time=121.82
t[1] = 2.079
x2[1] (analytic) = 1.0128262180839482053916867167913
x2[1] (numeric) = 1.0129678277090587007788409402824
absolute error = 0.000141609625110495387154223491173
relative error = 0.013981631061880554398650858665976 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002250993688140852269349736032
x1[1] (numeric) = 2.000086651278308562852408463464
absolute error = 0.00013844809050552237452651013922103
relative error = 0.0069216254985106776105574558619411 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.360e+04
Order of pole = 2.129e+08
TOP MAIN SOLVE Loop
memory used=2658.9MB, alloc=4.9MB, time=122.00
t[1] = 2.08
x2[1] (analytic) = 1.012851783583646900497823484353
x2[1] (numeric) = 1.0129940617846414428547150786517
absolute error = 0.00014227820099454235689159429866504
relative error = 0.014047287401828644395722031990194 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002248743819574483645464896661
x1[1] (numeric) = 2.0000859343025822218735865831499
absolute error = 0.00013894007937522649095990651617738
relative error = 0.0069462229549643564228274995008598 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.363e+04
Order of pole = 2.131e+08
TOP MAIN SOLVE Loop
memory used=2662.7MB, alloc=4.9MB, time=122.17
t[1] = 2.081
x2[1] (analytic) = 1.0128774003780598280777315518537
x2[1] (numeric) = 1.0130203494579565381197497785996
absolute error = 0.00014294907989671004201822674596904
relative error = 0.014113167086495742406208090654286 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002246496199752121991388247139
x1[1] (numeric) = 2.0000852166095215471647810369902
absolute error = 0.00013943301045366503435778772365269
relative error = 0.0069708675213134714075010721685779 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.367e+04
Order of pole = 2.133e+08
TOP MAIN SOLVE Loop
memory used=2666.5MB, alloc=4.9MB, time=122.34
t[1] = 2.082
x2[1] (analytic) = 1.0129030685697665809767951791512
x2[1] (numeric) = 1.0130466908373843350032727272076
absolute error = 0.00014362226761775402647754805645075
relative error = 0.014179270660177848412796679907396 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002244250826426147297456475282
x1[1] (numeric) = 2.0000844981984088456055093591295
absolute error = 0.0001399268842337691242362883986598
relative error = 0.0069955592222101683004938837329784 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.370e+04
Order of pole = 2.135e+08
TOP MAIN SOLVE Loop
memory used=2670.3MB, alloc=4.9MB, time=122.52
memory used=2674.1MB, alloc=4.9MB, time=122.70
t[1] = 2.083
x2[1] (analytic) = 1.0129287882615522289593634869418
x2[1] (numeric) = 1.0130730860315232376924934201632
absolute error = 0.00014429776997100873312993322137097
relative error = 0.014245598668259890771758189590274 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002242007697351186050580437091
x1[1] (numeric) = 2.0000837790685257060232023955755
absolute error = 0.00014042170120941258185564813357851
relative error = 0.0070202980823537122531071352476407 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.373e+04
Order of pole = 2.138e+08
TOP MAIN SOLVE Loop
memory used=2677.9MB, alloc=4.9MB, time=122.87
t[1] = 2.084
x2[1] (analytic) = 1.0129545595564077299614352833674
x2[1] (numeric) = 1.0130995351491901437591163320716
absolute error = 0.00014497559278241379768104870423434
relative error = 0.014312151657217614589608282168439 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002239766810284108988871456545
x1[1] (numeric) = 2.000083059219152998474793071762
absolute error = 0.00014091746187541242409407389254832
relative error = 0.007045084126490512561526550286493 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.376e+04
Order of pole = 2.140e+08
TOP MAIN SOLVE Loop
memory used=2681.7MB, alloc=4.9MB, time=123.04
t[1] = 2.085
x2[1] (analytic) = 1.0129803825575303421667846391324
x2[1] (numeric) = 1.0131260382994208826631623846608
absolute error = 0.00014565574189054049637774552837282
relative error = 0.014378930174619472322146762002516 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002237528162984028858511876788
x1[1] (numeric) = 2.0000823386495708735275863895544
absolute error = 0.00014141416672752935826479812442815
relative error = 0.007069917379414147443405182342433 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.379e+04
Order of pole = 2.142e+08
TOP MAIN SOLVE Loop
memory used=2685.6MB, alloc=4.9MB, time=123.22
t[1] = 2.086
x2[1] (analytic) = 1.013006257368324036908175628339
x2[1] (numeric) = 1.0131525955914706551357559648354
absolute error = 0.00014633822314661822758033649641571
relative error = 0.014445934769128516594104374146072 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002235291753212298172867619568
x1[1] (numeric) = 2.0000816173590587615394099345674
absolute error = 0.00014191181626246827787682738942248
relative error = 0.0070947978659653888615548954083741 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.383e+04
Order of pole = 2.144e+08
TOP MAIN SOLVE Loop
memory used=2689.4MB, alloc=4.9MB, time=123.40
t[1] = 2.087
x2[1] (analytic) = 1.0130321840923999123953179524936
x2[1] (numeric) = 1.0131792071348144734426382636393
absolute error = 0.00014702304241456104732031114571217
relative error = 0.014513165990504295237603043213951 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002233057578732506973840512051
x1[1] (numeric) = 2.0000808953468953719380441739449
absolute error = 0.00014241041097787875933987726016371
relative error = 0.0071197256110322273947714617273026 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.386e+04
Order of pole = 2.146e+08
TOP MAIN SOLVE Loop
memory used=2693.2MB, alloc=4.9MB, time=123.58
memory used=2697.0MB, alloc=4.9MB, time=123.75
t[1] = 2.088
x2[1] (analytic) = 1.0130581628335766082712184719919
x2[1] (numeric) = 1.0132058730391476025301712333304
absolute error = 0.00014771020557099425895276133852735
relative error = 0.014580624389604748547608861207804 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002230825637310480595458142354
x1[1] (numeric) = 2.0000801726123586924999318240332
absolute error = 0.00014290995137235555961399020222719
relative error = 0.007144700639549897155818267591478 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.389e+04
Order of pole = 2.148e+08
TOP MAIN SOLVE Loop
memory used=2700.8MB, alloc=4.9MB, time=123.92
t[1] = 2.089
x2[1] (analytic) = 1.0130841936958807209985869828615
x2[1] (numeric) = 1.0132325934143860020555999929823
absolute error = 0.00014839971850528105701301012081151
relative error = 0.014648310518388108752530807198594 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002228595926714277429699007394
x1[1] (numeric) = 2.0000794491547259886281655666557
absolute error = 0.00014341043794543911480433408373811
relative error = 0.0071697229765009007565936649899247 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.392e+04
Order of pole = 2.150e+08
TOP MAIN SOLVE Loop
memory used=2704.6MB, alloc=4.9MB, time=124.09
t[1] = 2.09
x2[1] (analytic) = 1.0131102767835472200779578966481
x2[1] (numeric) = 1.0132593683706667693033450533075
absolute error = 0.00014909158711954922538715665942414
relative error = 0.01471622492991480169809173102582 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002226368444714186694550718867
x1[1] (numeric) = 2.0000787249732738026297533919778
absolute error = 0.00014391187119761603970167990891046
relative error = 0.007194792646915034320507053847899 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.395e+04
Order of pole = 2.153e+08
TOP MAIN SOLVE Loop
memory used=2708.4MB, alloc=4.9MB, time=124.27
t[1] = 2.091
x2[1] (analytic) = 1.013136412201019865099192808084
x2[1] (numeric) = 1.0132861980183485829890992787698
absolute error = 0.00014978581732871788990647068576641
relative error = 0.01478436817834935074257155725657 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002224143189082726204299035429
x1[1] (numeric) = 2.0000780000672779529921608452269
absolute error = 0.0001444142516303196282690583160373
relative error = 0.0072199096758694125420888265721081 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.399e+04
Order of pole = 2.155e+08
TOP MAIN SOLVE Loop
memory used=2712.3MB, alloc=4.9MB, time=124.44
t[1] = 2.092
x2[1] (analytic) = 1.0131626000529516236280322685906
x2[1] (numeric) = 1.0133130824680121479535080595254
absolute error = 0.00015048241506052432547579093472121
relative error = 0.01485274081896228286149596413004 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000222192015759464014204549136
x1[1] (numeric) = 2.0000772744360135336591294538094
absolute error = 0.00014491757974593035507509532663066
relative error = 0.0072450740884884937938593536111629 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.402e+04
Order of pole = 2.157e+08
TOP MAIN SOLVE Loop
memory used=2716.1MB, alloc=4.9MB, time=124.62
memory used=2719.9MB, alloc=4.9MB, time=124.79
t[1] = 2.093
x2[1] (analytic) = 1.013188840444205089929368423754
x2[1] (numeric) = 1.0133400218304606407472147273265
absolute error = 0.00015118138625555081784630357250825
relative error = 0.014921343408132036959816964669518 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002219699348026896834451394224
x1[1] (numeric) = 2.0000765480787549133057706106433
absolute error = 0.00014542185604777637767452877908846
relative error = 0.0072702859099441052804822357620996 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.405e+04
Order of pole = 2.159e+08
TOP MAIN SOLVE Loop
memory used=2723.7MB, alloc=4.9MB, time=124.97
t[1] = 2.094
x2[1] (analytic) = 1.0132151334798529045289135196842
x2[1] (numeric) = 1.0133670162167201561090568182407
absolute error = 0.00015188273686725158014329855642138
relative error = 0.014990176503346874389604863147943 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002217480758158686528705966279
x1[1] (numeric) = 2.0000758209947757346129341888005
absolute error = 0.00014592708104013403993640782744688
relative error = 0.0072955451654554682402270960008642 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.408e+04
Order of pole = 2.161e+08
TOP MAIN SOLVE Loop
memory used=2727.5MB, alloc=4.9MB, time=125.14
t[1] = 2.095
x2[1] (analytic) = 1.0132414792651781746149426366449
x2[1] (numeric) = 1.0133940657380401543392023609092
absolute error = 0.00015258647286197972425972426431772
relative error = 0.015059240663206791671243979218 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.00022152643857714191717164066
x1[1] (numeric) = 2.0000750931833489135408511618265
absolute error = 0.00014643325522822837632047883345963
relative error = 0.0073208518802892231937672306874557 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.411e+04
Order of pole = 2.163e+08
TOP MAIN SOLVE Loop
memory used=2731.3MB, alloc=4.9MB, time=125.32
t[1] = 2.096
x2[1] (analytic) = 1.0132678779056748952817923685233
x2[1] (numeric) = 1.0134211705058939095690189520964
absolute error = 0.00015329260021901428722658357306617
relative error = 0.015128536447425435416097323835327 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.00022130502286487221915176531
x1[1] (numeric) = 2.0000743646437466386020495033816
absolute error = 0.00014694037911823361710226192843184
relative error = 0.0073462060797594552403374870950161 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.415e+04
Order of pole = 2.166e+08
TOP MAIN SOLVE Loop
memory used=2735.1MB, alloc=4.9MB, time=125.49
t[1] = 2.097
x2[1] (analytic) = 1.0132943295070483716168005336287
x2[1] (numeric) = 1.0134483306319789589294719714826
absolute error = 0.00015400112493058731267143785383176
relative error = 0.015198064416832019448578075185012 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002210838284576438280899625874
x1[1] (numeric) = 2.0000736353752403701335426391175
absolute error = 0.00014744845321727369454732346992751
relative error = 0.0073716077892277194012777813365905 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.418e+04
Order of pole = 2.168e+08
TOP MAIN SOLVE Loop
memory used=2739.0MB, alloc=4.9MB, time=125.66
memory used=2742.8MB, alloc=4.9MB, time=125.84
t[1] = 2.098
x2[1] (analytic) = 1.0133208341752156416323753759578
x2[1] (numeric) = 1.0134755462282175526198518850468
absolute error = 0.00015471205300191098747650908896746
relative error = 0.015267825133373244125538238737391 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002208628551342623183249735468
x1[1] (numeric) = 2.0000729053771008395682897229791
absolute error = 0.00014795747803342275003525056766492
relative error = 0.0073970570341030660109877179135948 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.421e+04
Order of pole = 2.170e+08
TOP MAIN SOLVE Loop
memory used=2746.6MB, alloc=4.9MB, time=126.01
t[1] = 2.099
x2[1] (analytic) = 1.0133473920163059000448860964767
x2[1] (numeric) = 1.013502817406757104878634190978
absolute error = 0.00015542539045120483374809450130614
relative error = 0.01533781916011521785085728287866 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002206421026737543480608441943
x1[1] (numeric) = 2.0000721746485980487059270093917
absolute error = 0.00014846745407570564213383480261698
relative error = 0.0074225538398420661553178192862794 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.424e+04
Order of pole = 2.172e+08
TOP MAIN SOLVE Loop
memory used=2750.4MB, alloc=4.9MB, time=126.19
t[1] = 2.1
x2[1] (analytic) = 1.0133740031366609229020699411436
x2[1] (numeric) = 1.0135301442799706458582791738663
absolute error = 0.00015614114330972295620923272269162
relative error = 0.015408047061245380783085819853452 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002204215708553674383935652769
x1[1] (numeric) = 2.0000714431890012689827695920634
absolute error = 0.00014897838185409845562397321354241
relative error = 0.0074480982319488371574229210686976 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.427e+04
Order of pole = 2.174e+08
TOP MAIN SOLVE Loop
memory used=2754.2MB, alloc=4.9MB, time=126.36
t[1] = 2.101
x2[1] (analytic) = 1.0134006676428354930606544663537
x2[1] (numeric) = 1.0135575269604572744057822519692
absolute error = 0.00015685931762178134512778561556126
relative error = 0.015478509402074430733971550587923 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002202012594585697525585749826
x1[1] (numeric) = 2.0000707109975790407410827794067
absolute error = 0.00014949026187952901147579557589127
relative error = 0.0074736902359750681111033356789379 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.431e+04
Order of pole = 2.176e+08
TOP MAIN SOLVE Loop
memory used=2758.0MB, alloc=4.9MB, time=126.54
t[1] = 2.102
x2[1] (analytic) = 1.0134273856415978265158970032382
x2[1] (numeric) = 1.0135849655610426117507893286384
absolute error = 0.00015757991944478523489232540019732
relative error = 0.015549206749038251255666710899759 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002199811682630498753989037978
x1[1] (numeric) = 2.0000699780735991724976223758485
absolute error = 0.00015000309466387737777652794925455
relative error = 0.0074993298775200454616594345296958 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.434e+04
Order of pole = 2.179e+08
TOP MAIN SOLVE Loop
memory used=2761.9MB, alloc=4.9MB, time=126.71
memory used=2765.7MB, alloc=4.9MB, time=126.89
t[1] = 2.103
x2[1] (analytic) = 1.0134541572399299995847467498114
x2[1] (numeric) = 1.0136124601947792561030951925432
absolute error = 0.00015830295484925651834844273180599
relative error = 0.015620139669699841914388145211706 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002197612970487165930537409915
x1[1] (numeric) = 2.0000692444163287402114431375702
absolute error = 0.00015051688071997638161060342126403
relative error = 0.0075250171822306786342853461246917 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.437e+04
Order of pole = 2.181e+08
TOP MAIN SOLVE Loop
memory used=2769.5MB, alloc=4.9MB, time=127.06
t[1] = 2.104
x2[1] (analytic) = 1.0134809825450283769443383343367
x2[1] (numeric) = 1.0136400109749472381613466521535
absolute error = 0.00015902842991886121700831781676799
relative error = 0.015691308732751250748272891732714 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002195416455956986728672024134
x1[1] (numeric) = 2.0000685100250340865509746704853
absolute error = 0.00015103162056161212189253192809568
relative error = 0.0075507521758015257100275147330389 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.440e+04
Order of pole = 2.183e+08
TOP MAIN SOLVE Loop
memory used=2773.3MB, alloc=4.9MB, time=127.24
t[1] = 2.105
x2[1] (analytic) = 1.0135078616643040405275291145056
x2[1] (numeric) = 1.0136676180150544775347757380627
absolute error = 0.00015975635075043700724662355714367
relative error = 0.015762714508015508907143789719533 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002193222136843446435170795153
x1[1] (numeric) = 2.0000677748989808201603640375308
absolute error = 0.00015154731470352448315304198448929
relative error = 0.0075765348839748191493339116464665 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.443e+04
Order of pole = 2.185e+08
TOP MAIN SOLVE Loop
memory used=2777.1MB, alloc=4.9MB, time=127.42
t[1] = 2.106
x2[1] (analytic) = 1.0135347947053832192771959050837
x2[1] (numeric) = 1.0136952814288372400797919621514
absolute error = 0.00016048672345402080259605706771822
relative error = 0.015834357566448567471871114444961 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002191030010952225753633497248
x1[1] (numeric) = 2.0000670390374338149250843416153
absolute error = 0.00015206396366140765027900810946876
relative error = 0.007602365332540491563219738383362 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.447e+04
Order of pole = 2.187e+08
TOP MAIN SOLVE Loop
memory used=2780.9MB, alloc=4.9MB, time=127.59
t[1] = 2.107
x2[1] (analytic) = 1.0135617817761077197610102616107
x2[1] (numeric) = 1.0137230013302605961532662853322
absolute error = 0.00016121955415287639225602372145271
relative error = 0.015906238480141236450987608439076 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002188840076091198610162285189
x1[1] (numeric) = 2.0000663024396572092368085498312
absolute error = 0.0001525815679519106242076786877335
relative error = 0.0076282435473362015320755085889558 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.450e+04
Order of pole = 2.190e+08
TOP MAIN SOLVE Loop
memory used=2784.7MB, alloc=4.9MB, time=127.77
memory used=2788.6MB, alloc=4.9MB, time=127.94
t[1] = 2.108
x2[1] (analytic) = 1.0135888229845353576484148895454
x2[1] (numeric) = 1.0137507778335188797843431156935
absolute error = 0.00016195484898352213592822614807805
relative error = 0.015978357822321125952185507998183 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000218665233007042996123543767
x1[1] (numeric) = 2.000065565104914405257547823806
absolute error = 0.00015310012809263773857571996099164
relative error = 0.0076541695542473594721434427926802 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.453e+04
Order of pole = 2.192e+08
TOP MAIN SOLVE Loop
memory used=2792.4MB, alloc=4.9MB, time=128.12
t[1] = 2.109
x2[1] (analytic) = 1.0136159184389403900515271969431
x2[1] (numeric) = 1.0137786110530361487666203362807
absolute error = 0.00016269261409575871509313933764913
relative error = 0.016050716167354589526295261433451 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002184466770702173603772131291
x1[1] (numeric) = 2.0000648270324680681830536203308
absolute error = 0.00015361964460214917732359279832218
relative error = 0.007680143379207153549688157621834 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.456e+04
Order of pole = 2.194e+08
TOP MAIN SOLVE Loop
memory used=2796.2MB, alloc=4.9MB, time=128.29
t[1] = 2.11
x2[1] (analytic) = 1.0136430682478139487316994643526
x2[1] (numeric) = 1.0138065011034666456725410465397
absolute error = 0.00016343285565269694084158218708257
relative error = 0.016123314090748669681316599616891 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002182283395800869987386055161
x1[1] (numeric) = 2.0000640882215801255054828256661
absolute error = 0.00015414011799996149325577984998596
relative error = 0.0077061650481965756428876785352271 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.460e+04
Order of pole = 2.196e+08
TOP MAIN SOLVE Loop
memory used=2800.0MB, alloc=4.9MB, time=128.47
t[1] = 2.111
x2[1] (analytic) = 1.0136702725198644741734685681388
x2[1] (numeric) = 1.0138344480996952597918443936128
absolute error = 0.00016417557983078561837582547395464
relative error = 0.01619615216915304556404344963534 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002180102203183144028825678389
x1[1] (numeric) = 2.0000633486715117662753251861939
absolute error = 0.00015466154880654812755738164495582
relative error = 0.0077322345872444473514708526315101 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.463e+04
Order of pole = 2.198e+08
TOP MAIN SOLVE Loop
memory used=2803.8MB, alloc=4.9MB, time=128.64
t[1] = 2.112
x2[1] (analytic) = 1.0136975313640181505276316628867
x2[1] (numeric) = 1.0138624521568379899959265692358
absolute error = 0.00016492079281983946829490634905778
relative error = 0.016269230980361982806794878341338 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002177923190667802928598984877
x1[1] (numeric) = 2.0000626083815234403625922973389
absolute error = 0.00015518393754333993026760114880535
relative error = 0.0077583520224274460541272856044572 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.466e+04
Order of pole = 2.201e+08
TOP MAIN SOLVE Loop
memory used=2807.6MB, alloc=4.9MB, time=128.82
memory used=2811.4MB, alloc=4.9MB, time=129.00
t[1] = 2.113
x2[1] (analytic) = 1.0137248448894193414251877049372
x2[1] (numeric) = 1.0138905133902424085299667549455
absolute error = 0.0001656685008230671047790500083283
relative error = 0.016342551103316285536734813850277 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002175746356075833989780492067
x1[1] (numeric) = 2.0000618673508748577172674119513
absolute error = 0.00015570728473272568171063725548412
relative error = 0.0077845173798701310137159744616134 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.469e+04
Order of pole = 2.203e+08
TOP MAIN SOLVE Loop
memory used=2815.3MB, alloc=4.9MB, time=129.17
t[1] = 2.114
x2[1] (analytic) = 1.0137522132054310266638881824633
x2[1] (numeric) = 1.0139186319154881257346765127
absolute error = 0.00016641871005709907078833023669087
relative error = 0.016416113118105250545233719132214 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002173571697230402438998372431
x1[1] (numeric) = 2.0000611255788249876290153285992
absolute error = 0.00015623159089805261488450864391643
relative error = 0.0078107306857449695302988551934907 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.473e+04
Order of pole = 2.205e+08
TOP MAIN SOLVE Loop
memory used=2819.1MB, alloc=4.9MB, time=129.34
t[1] = 2.115
x2[1] (analytic) = 1.0137796364216352397691439078209
x2[1] (numeric) = 1.0139468078483872556995348398329
absolute error = 0.00016717142675201593039093201204347
relative error = 0.016489917605968623614695682339553 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002171399211956849249599498693
x1[1] (numeric) = 2.000060383064632057986151619481
absolute error = 0.00015675685656362693880833038829078
relative error = 0.0078369919662723631420255321779413 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.476e+04
Order of pole = 2.207e+08
TOP MAIN SOLVE Loop
memory used=2822.9MB, alloc=4.9MB, time=129.52
t[1] = 2.116
x2[1] (analytic) = 1.013807114647833506431038225228
x2[1] (numeric) = 1.0139750413049848828493748365459
absolute error = 0.00016792665715137641833661131796035
relative error = 0.016563965149298558000244542952873 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002169228898082688966990235957
x1[1] (numeric) = 2.0000596398075535545338704569263
absolute error = 0.00015728308225471436282856666936059
relative error = 0.0078633012477206738738955037285027 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.479e+04
Order of pole = 2.209e+08
TOP MAIN SOLVE Loop
memory used=2826.7MB, alloc=4.9MB, time=129.69
t[1] = 2.117
x2[1] (analytic) = 1.0138346479940472838192004911411
x2[1] (numeric) = 1.0140033324015595294661916708808
absolute error = 0.00016868440751224564699117973965116
relative error = 0.016638256331641575063632690770192 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000216706075343760753615080607
x1[1] (numeric) = 2.000058895806846220131730296714
absolute error = 0.00015781026849754062188478389305217
relative error = 0.0078896585564062505344242458464418 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.482e+04
Order of pole = 2.212e+08
TOP MAIN SOLVE Loop
memory used=2830.5MB, alloc=4.9MB, time=129.87
memory used=2834.3MB, alloc=4.9MB, time=130.04
t[1] = 2.118
x2[1] (analytic) = 1.0138622365705184007772971960351
x2[1] (numeric) = 1.0140316812546236241480452703453
absolute error = 0.00016944468410522337074807431021379
relative error = 0.016712791737700527056706055762587 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002164894775853460131321051748
x1[1] (numeric) = 2.0000581510617660540103966756927
absolute error = 0.00015833841581929200273542948217728
relative error = 0.0079160639186934550602395639139725 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.485e+04
Order of pole = 2.214e+08
TOP MAIN SOLVE Loop
memory used=2838.1MB, alloc=4.9MB, time=130.22
t[1] = 2.119
x2[1] (analytic) = 1.0138898804877094988989016146508
x2[1] (numeric) = 1.014060087980923971206934921085
absolute error = 0.00017020749321447230803330643419376
relative error = 0.016787571953336562051728550423209 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002162730963164268987855430133
x1[1] (numeric) = 2.0000574055715683110276413804462
absolute error = 0.00015886752474811587114416256707249
relative error = 0.0079425173609946889086346697707289 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.489e+04
Order of pole = 2.216e+08
TOP MAIN SOLVE Loop
memory used=2842.0MB, alloc=4.9MB, time=130.39
t[1] = 2.12
x2[1] (analytic) = 1.013917579856304474486506397187
x2[1] (numeric) = 1.0140885526974422210075267147309
absolute error = 0.00017097284113774652102031754384891
relative error = 0.016862597565571091015838831998519 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002160569313206221236245067648
x1[1] (numeric) = 2.0000566593355075009235972430033
absolute error = 0.0001593975958131212000272637615403
relative error = 0.007969018909770419498104489347092 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.492e+04
Order of pole = 2.218e+08
TOP MAIN SOLVE Loop
memory used=2845.8MB, alloc=4.9MB, time=130.57
t[1] = 2.121
x2[1] (analytic) = 1.0139453347872089213954470463743
x2[1] (numeric) = 1.0141170755213953412486185498156
absolute error = 0.00017174073418641985317150344125497
relative error = 0.016937869162587757026881719459971 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002158409823817666738304710175
x1[1] (numeric) = 2.0000559123528373875752678188459
absolute error = 0.00015992862954437909856265217154563
relative error = 0.0079955685915292066968917537864356 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.495e+04
Order of pole = 2.220e+08
TOP MAIN SOLVE Loop
memory used=2849.6MB, alloc=4.9MB, time=130.75
t[1] = 2.122
x2[1] (analytic) = 1.0139731453915505747645077649052
x2[1] (numeric) = 1.0141456565702360891892311689526
absolute error = 0.00017251117868551442472340404741541
relative error = 0.017013387333734406627825928800991 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002156252492839115925522404728
x1[1] (numeric) = 2.0000551646228109882502912017271
absolute error = 0.00016046062647292334226103874572882
relative error = 0.0080221664328277293595694747738318 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.498e+04
Order of pole = 2.223e+08
TOP MAIN SOLVE Loop
memory used=2853.4MB, alloc=4.9MB, time=130.92
memory used=2857.2MB, alloc=4.9MB, time=131.10
t[1] = 2.123
x2[1] (analytic) = 1.0140010117806797556349847043193
x2[1] (numeric) = 1.0141742959616534848212174948381
absolute error = 0.00017328418097372918623279051879993
relative error = 0.017089152669525063316948979776147 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002154097318113237639569750987
x1[1] (numeric) = 2.0000544161446805728599572290598
absolute error = 0.00016099358713075090399974603893271
relative error = 0.008048812460270811911686452601271 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.502e+04
Order of pole = 2.225e+08
TOP MAIN SOLVE Loop
memory used=2861.0MB, alloc=4.9MB, time=131.27
t[1] = 2.124
x2[1] (analytic) = 1.0140289340661698164599852001633
x2[1] (numeric) = 1.0142029938135732849902863175664
absolute error = 0.00017405974740346853030111740317551
relative error = 0.017165165761641903170939177084799 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002151944297484856974970563189
x1[1] (numeric) = 2.0000536669176976632114773308963
absolute error = 0.00016152751205082248601972542260769
relative error = 0.0080755067005114509825025133390702 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.505e+04
Order of pole = 2.227e+08
TOP MAIN SOLVE Loop
memory used=2864.9MB, alloc=4.9MB, time=131.44
t[1] = 2.125
x2[1] (analytic) = 1.0140569123598175875057451390833
x2[1] (numeric) = 1.0142317502441584584673401827745
absolute error = 0.00017483788434087096159504369115738
relative error = 0.017241427202937232598033478786753 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002149793428800953123925785057
x1[1] (numeric) = 2.0000529169411130322595062747665
absolute error = 0.00016206240176706305288630373915645
relative error = 0.008102249180250842085840219349896 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.508e+04
Order of pole = 2.229e+08
TOP MAIN SOLVE Loop
memory used=2868.7MB, alloc=4.9MB, time=131.62
t[1] = 2.126
x2[1] (analytic) = 1.0140849467736438241467501714734
x2[1] (numeric) = 1.0142605653718096619720311347519
absolute error = 0.00017561859816583782528096327854314
relative error = 0.01731793758743546821827883396878 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002147644709910657223292502578
x1[1] (numeric) = 2.0000521662141767033569150578968
absolute error = 0.00016259825681436236541419236100934
relative error = 0.0081290399262384063490798452757757 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.511e+04
Order of pole = 2.232e+08
TOP MAIN SOLVE Loop
memory used=2872.5MB, alloc=4.9MB, time=131.79
t[1] = 2.127
x2[1] (analytic) = 1.0141130374198936550564500584119
x2[1] (numeric) = 1.0142894393151657171504417809
absolute error = 0.00017640189527206209399172248815221
relative error = 0.017394697510335118867973199903132 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002145498138665250203714901627
x1[1] (numeric) = 2.0000514147361379495048141975832
absolute error = 0.00016313507772857551555729257948396
relative error = 0.0081558789652718172903244595496519 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.515e+04
Order of pole = 2.234e+08
TOP MAIN SOLVE Loop
memory used=2876.3MB, alloc=4.9MB, time=131.97
memory used=2880.1MB, alloc=4.9MB, time=132.14
t[1] = 2.128
x2[1] (analytic) = 1.014141184411037031295359023885
x2[1] (numeric) = 1.0143183721931040885088029637945
absolute error = 0.00017718778206705721344393990952587
relative error = 0.017471707568010769725310935696878 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002143353712918160640905019545
x1[1] (numeric) = 2.0000506625062452926018266697412
absolute error = 0.00016367286504652346226383221327894
relative error = 0.0081827663241970276437619994314989 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.518e+04
Order of pole = 2.236e+08
TOP MAIN SOLVE Loop
memory used=2883.9MB, alloc=4.9MB, time=132.31
t[1] = 2.129
x2[1] (analytic) = 1.0141693878597691762983385727328
x2[1] (numeric) = 1.0143473641247413623051631546342
absolute error = 0.000177976264972186006824581901405
relative error = 0.01754896835801506855422561426732 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002141211430524962609071141975
x1[1] (numeric) = 2.0000499095237465026926097449057
absolute error = 0.00016421161930599356829736929178317
relative error = 0.0082097020299082962332512755448138 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.521e+04
Order of pole = 2.238e+08
TOP MAIN SOLVE Loop
memory used=2887.7MB, alloc=4.9MB, time=132.49
t[1] = 2.13
x2[1] (analytic) = 1.0141976478790110367628628313787
x2[1] (numeric) = 1.0143764152294337264009285170451
absolute error = 0.00017876735042268963806568566634889
relative error = 0.017626480479080714063391496936587 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002139071289343373536491698366
x1[1] (numeric) = 2.0000491557878885972156249702023
absolute error = 0.00016475134104574013802419963424886
relative error = 0.0082366861093482148941588898924691 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.524e+04
Order of pole = 2.240e+08
TOP MAIN SOLVE Loop
memory used=2891.6MB, alloc=4.9MB, time=132.66
t[1] = 2.131
x2[1] (analytic) = 1.014225964581909734440070072225
x2[1] (numeric) = 1.0144055256267774510741964330751
absolute error = 0.00017956104486771663412636085014681
relative error = 0.017704244531122446377312974559514 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002136933287233252063232511728
x1[1] (numeric) = 2.0000484012979178402501555450605
absolute error = 0.00016529203080548495616770611228091
relative error = 0.0082637185895077354434740993615062 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.528e+04
Order of pole = 2.243e+08
TOP MAIN SOLVE Loop
memory used=2895.4MB, alloc=4.9MB, time=132.84
t[1] = 2.132
x2[1] (analytic) = 1.0142543380818390188304076936379
x2[1] (numeric) = 1.0144346954366093707968091337797
absolute error = 0.00018035735477035196640144014176407
relative error = 0.017782261115239039616399195424062 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002134797422056595901005260353
x1[1] (numeric) = 2.0000476460530797417625703376852
absolute error = 0.00016583368912591782753018835003667
relative error = 0.0082907994974261966982287047845206 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.531e+04
Order of pole = 2.245e+08
TOP MAIN SOLVE Loop
memory used=2899.2MB, alloc=4.9MB, time=133.01
memory used=2903.0MB, alloc=4.9MB, time=133.19
t[1] = 2.133
x2[1] (analytic) = 1.0142827684923997207856815457134
x2[1] (numeric) = 1.0144639247790073669770579350668
absolute error = 0.0001811562866076461913763893534178
relative error = 0.017860530833715296582888872732928 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002132663691677539695165011359
x1[1] (numeric) = 2.0000468900526190568518337885519
absolute error = 0.00016637631654869711768271258401079
relative error = 0.0083179288601913515422490937108724 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.534e+04
Order of pole = 2.247e+08
TOP MAIN SOLVE Loop
memory used=2906.8MB, alloc=4.9MB, time=133.37
t[1] = 2.134
x2[1] (analytic) = 1.014311255927420207019324117524
x2[1] (numeric) = 1.0144932137742908516699724454699
absolute error = 0.00018195784687064465064832794595813
relative error = 0.017939054290024045549457892827965 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002130532093962352888844688057
x1[1] (numeric) = 2.0000461332957797849942609464334
absolute error = 0.00016691991361645029462352237230013
relative error = 0.0083451067049393940412676131541103 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.538e+04
Order of pole = 2.249e+08
TOP MAIN SOLVE Loop
memory used=2910.6MB, alloc=4.9MB, time=133.54
t[1] = 2.135
x2[1] (analytic) = 1.0143398005009568355266997343211
x2[1] (numeric) = 1.0145225625430212522571329862541
absolute error = 0.00018276204206441673043325193300302
relative error = 0.018017832088828139147309828994089 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002128402626779437589224335275
x1[1] (numeric) = 2.0000453757818051692875168817157
absolute error = 0.00016746448087277447140555181180441
relative error = 0.0083723330588549866064204967227613 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.541e+04
Order of pole = 2.252e+08
TOP MAIN SOLVE Loop
memory used=2914.4MB, alloc=4.9MB, time=133.72
t[1] = 2.136
x2[1] (analytic) = 1.0143684023272944119172685532059
x2[1] (numeric) = 1.0145519712060024970979483457551
absolute error = 0.00018356887870808518067979254920743
relative error = 0.018096864835982455350516804214094 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.00021262752879993264359330489
x1[1] (numeric) = 2.000044617509937695693859720999
absolute error = 0.00016801001886223694973358389092134
relative error = 0.0083996079491712872061596187100648 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.544e+04
Order of pole = 2.254e+08
TOP MAIN SOLVE Loop
memory used=2918.3MB, alloc=4.9MB, time=133.89
t[1] = 2.137
x2[1] (analytic) = 1.0143970615209466466604347931132
x2[1] (numeric) = 1.0145814398842815021543448791178
absolute error = 0.00018437836333485549391008600460897
relative error = 0.018176153138535900553345339177199 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002124150075494680471581438055
x1[1] (numeric) = 2.0000438584794190922826265462305
absolute error = 0.00016855652813037576453159757493951
relative error = 0.0084269314031699766266053959143625 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.547e+04
Order of pole = 2.256e+08
TOP MAIN SOLVE Loop
memory used=2922.1MB, alloc=4.9MB, time=134.07
memory used=2925.9MB, alloc=4.9MB, time=134.24
t[1] = 2.138
x2[1] (analytic) = 1.0144257781966566132469082895854
x2[1] (numeric) = 1.0146109686991486585908168616546
absolute error = 0.00018519050249204534390857206915381
relative error = 0.018255697604733414737268868708157 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002122026987140287014422490432
x1[1] (numeric) = 2.0000430986894903284719614008517
absolute error = 0.00016910400922370022948084819152184
relative error = 0.0084543034481812857803682061857446 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.551e+04
Order of pole = 2.258e+08
TOP MAIN SOLVE Loop
memory used=2929.7MB, alloc=4.9MB, time=134.42
t[1] = 2.139
x2[1] (analytic) = 1.0144545524693972072674121267592
x2[1] (numeric) = 1.0146405577721383213517919088994
absolute error = 0.00018600530274111408437978214024182
relative error = 0.01833549884401797872433551011571 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002119906020813057533138713441
x1[1] (numeric) = 2.0000423381393916142697846446897
absolute error = 0.0001696524626896914835292266544052
relative error = 0.0084817241115840230638657409462421 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.554e+04
Order of pole = 2.261e+08
TOP MAIN SOLVE Loop
memory used=2933.5MB, alloc=4.9MB, time=134.59
t[1] = 2.14
x2[1] (analytic) = 1.0144833844543716064105727682695
x2[1] (numeric) = 1.0146702072250292987182691891119
absolute error = 0.00018682277065769230769642084241375
relative error = 0.01841555746703262351352642029342 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002117787174392025523753425972
x1[1] (numeric) = 2.0000415768283623995140028985625
absolute error = 0.0001702018890768030383724440347211
relative error = 0.0085091934208056017631637572103988 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.557e+04
Order of pole = 2.263e+08
TOP MAIN SOLVE Loop
memory used=2937.3MB, alloc=4.9MB, time=134.77
t[1] = 2.141
x2[1] (analytic) = 1.0145122742670137313818327853984
x2[1] (numeric) = 1.0146999171798453428456920744915
absolute error = 0.00018764291283161146385928909311269
relative error = 0.018495874085622441696706684276163 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002115670445758344388664077668
x1[1] (numeric) = 2.0000408147556413731119588188056
absolute error = 0.00017075228893446132690758896116759
relative error = 0.0085367114033220675083677429404902 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.560e+04
Order of pole = 2.265e+08
TOP MAIN SOLVE Loop
memory used=2941.1MB, alloc=4.9MB, time=134.94
t[1] = 2.142
x2[1] (analytic) = 1.014541222022988707745229964783
x2[1] (numeric) = 1.0147296877588556412850208057258
absolute error = 0.00018846573586693353979084094276654
relative error = 0.018576449312836600950737135894634 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002113555832795285317795474752
x1[1] (numeric) = 2.0000400519204664622791199411726
absolute error = 0.00017130366281306625265960630263549
relative error = 0.0085642780866581257765930579060424 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.564e+04
Order of pole = 2.268e+08
TOP MAIN SOLVE Loop
memory used=2945.0MB, alloc=4.9MB, time=135.12
memory used=2948.8MB, alloc=4.9MB, time=135.29
t[1] = 2.143
x2[1] (analytic) = 1.0145702278381933286898902693567
x2[1] (numeric) = 1.0147595190845753094889746807189
absolute error = 0.00018929124638198079908441136223819
relative error = 0.018657283762930359602281820710153 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002111443333388235171870793561
x1[1] (numeric) = 2.0000392883220748317770058327962
absolute error = 0.00017185601126399174018124655981344
relative error = 0.0085918934983871694435411605806767 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.567e+04
Order of pole = 2.270e+08
TOP MAIN SOLVE Loop
memory used=2952.6MB, alloc=4.9MB, time=135.47
t[1] = 2.144
x2[1] (analytic) = 1.0145992918287565187230858249496
x2[1] (numeric) = 1.0147894112797658843054172224566
absolute error = 0.0001901194510093655823313975069594
relative error = 0.018738378051367084261811972084079 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002109332945424694367798265047
x1[1] (numeric) = 2.0000385239597028831503527901389
absolute error = 0.00017240933483958628642703636576692
relative error = 0.0086195576661313063837095800007204 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.570e+04
Order of pole = 2.272e+08
TOP MAIN SOLVE Loop
memory used=2956.4MB, alloc=4.9MB, time=135.65
t[1] = 2.145
x2[1] (analytic) = 1.0146284141110397982917128111287
x2[1] (numeric) = 1.0148193644674358184598617329645
absolute error = 0.00019095035639602016814892183578669
relative error = 0.018819732794820269523273382570806 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002107224666794274766171415647
x1[1] (numeric) = 2.0000377588325862539635153200952
absolute error = 0.00017296363409317351310182146950789
relative error = 0.0086472706175613871192633399295255 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.574e+04
Order of pole = 2.274e+08
TOP MAIN SOLVE Loop
memory used=2960.2MB, alloc=4.9MB, time=135.82
t[1] = 2.146
x2[1] (analytic) = 1.0146575948016377493340478484339
x2[1] (numeric) = 1.0148493787708409760290786002386
absolute error = 0.00019178396920322669503075180478139
relative error = 0.018901348611175559725849914350153 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000210511849538869756088075201
x1[1] (numeric) = 2.0000369929399598170361036406499
absolute error = 0.00017351890957905271998443455114386
relative error = 0.008675032380397032517595591119074 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.577e+04
Order of pole = 2.277e+08
TOP MAIN SOLVE Loop
memory used=2964.0MB, alloc=4.9MB, time=136.00
t[1] = 2.147
x2[1] (analytic) = 1.0146868340173784817636451951758
x2[1] (numeric) = 1.0148794543134851289077896928685
absolute error = 0.00019262029610664714414449769270889
relative error = 0.018983226119532772774221603663026 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002103014429101791170834779198
x1[1] (numeric) = 2.0000362262810576796778564367274
absolute error = 0.0001740751618524994392270411923204
relative error = 0.0087028429824066615376052559362642 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.580e+04
Order of pole = 2.279e+08
TOP MAIN SOLVE Loop
memory used=2967.9MB, alloc=4.9MB, time=136.17
memory used=2971.7MB, alloc=4.9MB, time=136.35
t[1] = 2.148
x2[1] (analytic) = 1.01471613187532410088724079542
x2[1] (numeric) = 1.014909591219120454270439152867
absolute error = 0.00019345934379635338319835744706576
relative error = 0.019065365940207926013681374711507 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002100912465829489133788244076
x1[1] (numeric) = 2.0000354588551131829227481061062
absolute error = 0.00017463239146976599063071830134933
relative error = 0.0087307024514075190247195381253244 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.583e+04
Order of pole = 2.281e+08
TOP MAIN SOLVE Loop
memory used=2975.5MB, alloc=4.9MB, time=136.52
t[1] = 2.149
x2[1] (analytic) = 1.0147454884927711757585329557054
x2[1] (numeric) = 1.0149397896117480330300338809733
absolute error = 0.00019430111897685727150092526787022
relative error = 0.019147768694735264156439787758422 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002098812603469828002275497734
x1[1] (numeric) = 2.0000346906613589007623297295047
absolute error = 0.00017519059898808203789782026864713
relative error = 0.0087586108152657035546891990101231 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.587e+04
Order of pole = 2.283e+08
TOP MAIN SOLVE Loop
memory used=2979.3MB, alloc=4.9MB, time=136.69
t[1] = 2.15
x2[1] (analytic) = 1.0147749039872512084697131714484
x2[1] (numeric) = 1.0149700496156183492960510004207
absolute error = 0.00019514562836714082633782897228698
relative error = 0.019230435005869289255412503738528 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002096714839922945241646872855
x1[1] (numeric) = 2.0000339216990266393783029981806
absolute error = 0.00017574978496565514586168910489615
relative error = 0.0087865681018961953261845500007981 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.590e+04
Order of pole = 2.286e+08
TOP MAIN SOLVE Loop
memory used=2983.1MB, alloc=4.9MB, time=136.87
t[1] = 2.151
x2[1] (analytic) = 1.0148043784765311043826243748783
x2[1] (numeric) = 1.0150003713552317908334135848857
absolute error = 0.00019599287870068645078921000739736
relative error = 0.019313365497586792721750253099432 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002094619173091077130205974077
x1[1] (numeric) = 2.000033151967347436374326331616
absolute error = 0.00017630994996167133869426579168531
relative error = 0.0088145743392628841022201598581498 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.593e+04
Order of pole = 2.288e+08
TOP MAIN SOLVE Loop
memory used=2986.9MB, alloc=4.9MB, time=137.04
t[1] = 2.152
x2[1] (analytic) = 1.014833912078613643301427634759
x2[1] (numeric) = 1.015030754955339150524539944061
absolute error = 0.00019684287672550722311230930207013
relative error = 0.019396560795088889382336049350429 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002092525600878556661445781481
x1[1] (numeric) = 2.0000323814655515600070524170958
absolute error = 0.00017687109453629565909216105228795
relative error = 0.0088426295553785972004363237866905 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.597e+04
Order of pole = 2.290e+08
TOP MAIN SOLVE Loop
memory used=2990.7MB, alloc=4.9MB, time=137.22
memory used=2994.6MB, alloc=4.9MB, time=137.40
t[1] = 2.153
x2[1] (analytic) = 1.0148635049117379515886621040791
x2[1] (numeric) = 1.015061200540942128836475776052
absolute error = 0.00019769562920417724781367197293756
relative error = 0.019480021524803053573439187435662 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002090434121191811448381469448
x1[1] (numeric) = 2.0000316101928685084163964022162
absolute error = 0.00017743321925067272844174472869431
relative error = 0.0088707337783051275322653900731526 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.600e+04
Order of pole = 2.293e+08
TOP MAIN SOLVE Loop
memory used=2998.4MB, alloc=4.9MB, time=137.57
t[1] = 2.154
x2[1] (analytic) = 1.0148931570943799752265867853632
x2[1] (numeric) = 1.0150917082372938372951225195881
absolute error = 0.00019855114291386206853573422493772
relative error = 0.019563748314385157266680213088047 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000208834473193936162997784521
x1[1] (numeric) = 2.000030838148527008855033970591
absolute error = 0.00017799632466692730796381393003474
relative error = 0.0088988870361532616910110886616907 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.603e+04
Order of pole = 2.295e+08
TOP MAIN SOLVE Loop
memory used=3002.2MB, alloc=4.9MB, time=137.75
t[1] = 2.155
x2[1] (analytic) = 1.0149228687452529538256964642814
x2[1] (numeric) = 1.0151222781698993029685792708962
absolute error = 0.00019940942464634914288280661475359
relative error = 0.019647741792721510223425541284943 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000208625743103181777966931352
x1[1] (numeric) = 2.0000300653317550169171285302549
absolute error = 0.00017856041134816486083840109710849
relative error = 0.0089270893570828080888690547600067 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.607e+04
Order of pole = 2.297e+08
TOP MAIN SOLVE Loop
memory used=3006.0MB, alloc=4.9MB, time=137.92
t[1] = 2.156
x2[1] (analytic) = 1.0149526399833078955823079508261
x2[1] (numeric) = 1.0151529104645159739616196700028
absolute error = 0.00020027048120807837931171917676803
relative error = 0.019732002589930902173694739337585 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002084172216381878815970275978
x1[1] (numeric) = 2.0000292917417797157662867434899
absolute error = 0.00017912547985847211531028410787293
relative error = 0.008955340769302625142916789302229 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.610e+04
Order of pole = 2.299e+08
TOP MAIN SOLVE Loop
memory used=3009.8MB, alloc=4.9MB, time=138.10
t[1] = 2.157
x2[1] (analytic) = 1.0149824709277340531871165635042
x2[1] (numeric) = 1.0151836052471542259233292092511
absolute error = 0.0002011343194201727362126457468709
relative error = 0.019816531337366647015627672525062 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002082089085904329915173875596
x1[1] (numeric) = 2.0000285173778275153627416260302
absolute error = 0.0001796915307629176287757615294504
relative error = 0.0089836413010706495101013468546499 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.613e+04
Order of pole = 2.302e+08
TOP MAIN SOLVE Loop
memory used=3013.6MB, alloc=4.9MB, time=138.27
memory used=3017.4MB, alloc=4.9MB, time=138.45
t[1] = 2.158
x2[1] (analytic) = 1.0150123616979594006866265957712
x2[1] (numeric) = 1.0152143626440778695699324729318
absolute error = 0.00020200094611846888330587716061059
relative error = 0.019901328667618629031522737050711 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000208000803751604042613699933
x1[1] (numeric) = 2.0000277422391240516897624428296
absolute error = 0.00018025856462755235285125710347475
relative error = 0.0090119909806939243712530903393922 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.616e+04
Order of pole = 2.304e+08
TOP MAIN SOLVE Loop
memory used=3021.3MB, alloc=4.9MB, time=138.63
t[1] = 2.159
x2[1] (analytic) = 1.015042312413651111299363315323
x2[1] (numeric) = 1.0152451827818046592248438811728
absolute error = 0.000202870368153547925480565849791
relative error = 0.019986395214515351116421275973829 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002077929069135961787149453338
x1[1] (numeric) = 2.0000269663248941859792906268004
absolute error = 0.00018082658201941019942431853342933
relative error = 0.0090403898365286277641539007688093 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.620e+04
Order of pole = 2.306e+08
TOP MAIN SOLVE Loop
memory used=3025.1MB, alloc=4.9MB, time=138.80
t[1] = 2.16
x2[1] (analytic) = 1.0150723231947160361887778658907
x2[1] (numeric) = 1.0152760657871068023779795836074
absolute error = 0.00020374259239076618920171771669036
relative error = 0.020071731613125985015176988171736 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002075852178685125444885227851
x1[1] (numeric) = 2.0000261896343620039368009461601
absolute error = 0.00018139558350650860768757662502224
relative error = 0.0090688378969801009656882790299563 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.623e+04
Order of pole = 2.309e+08
TOP MAIN SOLVE Loop
memory used=3028.9MB, alloc=4.9MB, time=138.98
t[1] = 2.161
x2[1] (analytic) = 1.0151023941613011841947602678461
x2[1] (numeric) = 1.0153070117870114702663722288748
absolute error = 0.0002046176257102860716119610286381
relative error = 0.02015733849976242356391269783466 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002073777364086640775433770599
x1[1] (numeric) = 2.0000254121667508149653871452463
absolute error = 0.00018196556965784911215623181360529
relative error = 0.0090973351905028769231058256338542 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.626e+04
Order of pole = 2.311e+08
TOP MAIN SOLVE Loop
memory used=3032.7MB, alloc=4.9MB, time=139.15
t[1] = 2.162
x2[1] (analytic) = 1.0151325254337942025256795482586
x2[1] (numeric) = 1.0153380209088013094781344247074
absolute error = 0.0002054954750071069524548764487492
relative error = 0.020243216511981334931730252006254 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002071704623265693007409189827
x1[1] (numeric) = 2.0000246339212831513890712828865
absolute error = 0.00018253654104341791166963609617062
relative error = 0.0091258817456007087344236332485541 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.630e+04
Order of pole = 2.313e+08
TOP MAIN SOLVE Loop
memory used=3036.5MB, alloc=4.9MB, time=139.33
memory used=3040.3MB, alloc=4.9MB, time=139.50
t[1] = 2.163
x2[1] (analytic) = 1.0151627171328238584128738730507
x2[1] (numeric) = 1.0153690932800149545818208002529
absolute error = 0.00020637614719109616894692720220236
relative error = 0.020329366288586218858502555772626 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002069633954149541147135310007
x1[1] (numeric) = 2.0000238548971807676753359916312
absolute error = 0.00018310849823418643937753936955412
relative error = 0.0091544775908265981779971757682419 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.633e+04
Order of pole = 2.316e+08
TOP MAIN SOLVE Loop
memory used=3044.1MB, alloc=4.9MB, time=139.68
t[1] = 2.164
x2[1] (analytic) = 1.0151929693792605217295174035939
x2[1] (numeric) = 1.0154002290284475417832426873665
absolute error = 0.00020725964918702005372528377258337
relative error = 0.020415788469629464884539838388685 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002067565354667515905904505434
x1[1] (numeric) = 2.0000230750936646396568788803823
absolute error = 0.00018368144180211193371157016113971
relative error = 0.0091831227547828242912883266328534 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.636e+04
Order of pole = 2.318e+08
TOP MAIN SOLVE Loop
memory used=3048.0MB, alloc=4.9MB, time=139.85
t[1] = 2.165
x2[1] (analytic) = 1.0152232822942166485757944574948
x2[1] (numeric) = 1.0154314282821512236117935509254
absolute error = 0.00020814598793457503599909343052226
relative error = 0.020502483696414412567885168427747 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002065498822751017629308238963
x1[1] (numeric) = 2.0000222945099549637525883021727
absolute error = 0.00018425537232013801034252172359264
relative error = 0.0092118172661209719988591881039427 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.640e+04
Order of pole = 2.320e+08
TOP MAIN SOLVE Loop
memory used=3051.8MB, alloc=4.9MB, time=140.03
t[1] = 2.166
x2[1] (analytic) = 1.0152536559990472658323154184448
x2[1] (numeric) = 1.015462691169435684638347419763
absolute error = 0.00020903517038841880603200131816
relative error = 0.020589452611497413684957001463423 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002063434356333514228637235214
x1[1] (numeric) = 2.0000215131452711561877397080705
absolute error = 0.00018483029036219523512401545095567
relative error = 0.0092405611535419607896204622229117 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.643e+04
Order of pole = 2.323e+08
TOP MAIN SOLVE Loop
memory used=3055.6MB, alloc=4.9MB, time=140.20
t[1] = 2.167
x2[1] (analytic) = 1.0152840906153504566837127128738
x2[1] (numeric) = 1.0154940178188686582267966996227
absolute error = 0.00020992720351820154308398674891683
relative error = 0.020676695858689896410219149355774 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002061371953350539114349219658
x1[1] (numeric) = 2.000020730998831852213411807406
absolute error = 0.00018540619650320169802311455981918
relative error = 0.0092693544457960734433631432272168 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.646e+04
Order of pole = 2.325e+08
TOP MAIN SOLVE Loop
memory used=3059.4MB, alloc=4.9MB, time=140.38
memory used=3063.2MB, alloc=4.9MB, time=140.56
t[1] = 2.168
x2[1] (analytic) = 1.0153145862649678471143590517659
x2[1] (numeric) = 1.0155254083592764443212998875995
absolute error = 0.00021082209430859720694083583363129
relative error = 0.02076421408306043147052100542983 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000205931161173968913160215703
x1[1] (numeric) = 2.0000199480698549053251217537368
absolute error = 0.00018598309131906358803846196622683
relative error = 0.0092981971716829848066023602788607 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.650e+04
Order of pole = 2.327e+08
TOP MAIN SOLVE Loop
memory used=3067.0MB, alloc=4.9MB, time=140.73
t[1] = 2.169
x2[1] (analytic) = 1.0153451430699850933781540243823
x2[1] (numeric) = 1.0155568629197444282713138538947
absolute error = 0.0002117198497593348931598295124294
relative error = 0.020852007930936800269713144216426 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002057253329440622497850924621
x1[1] (numeric) = 2.0000191643575573864806785751856
absolute error = 0.00018656097538667576910651727650248
relative error = 0.009327089360051790617762248467414 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.653e+04
Order of pole = 2.330e+08
TOP MAIN SOLVE Loop
memory used=3070.8MB, alloc=4.9MB, time=140.91
t[1] = 2.17
x2[1] (analytic) = 1.0153757611527323704443290268073
x2[1] (numeric) = 1.015588381629617600696489511365
absolute error = 0.00021262047688523025216048455770408
relative error = 0.020940078049908064979105537484709 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002055197104395056742505358041
x1[1] (numeric) = 2.0000183798611555833172540670058
absolute error = 0.00018713984928392235699646879828342
relative error = 0.0093560310398010363817307751870235 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.656e+04
Order of pole = 2.332e+08
TOP MAIN SOLVE Loop
memory used=3074.7MB, alloc=4.9MB, time=141.08
t[1] = 2.171
x2[1] (analytic) = 1.0154064406357848614212244122061
x2[1] (numeric) = 1.0156199646185010783935138563244
absolute error = 0.00021352398271621697228944411837153
relative error = 0.021028425088826640589297589543877 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002053142934546766648647609102
x1[1] (numeric) = 2.0000175945798649993676703634435
absolute error = 0.00018771971358967729719439746671991
relative error = 0.00938502223987874629381349815342 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.660e+04
Order of pole = 2.334e+08
TOP MAIN SOLVE Loop
memory used=3078.5MB, alloc=4.9MB, time=141.26
t[1] = 2.172
x2[1] (analytic) = 1.015437181641963247959996661469
x2[1] (numeric) = 1.0156516120162606262869855353692
absolute error = 0.00021443037429737832698887390016544
relative error = 0.021117049697810368918870993739143 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002051090817841582196806757549
x1[1] (numeric) = 2.0000168085129003532759034051849
absolute error = 0.00018830056888380494377727057005317
relative error = 0.0094140629892824522131152805228672 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.663e+04
Order of pole = 2.337e+08
TOP MAIN SOLVE Loop
memory used=3082.3MB, alloc=4.9MB, time=141.43
memory used=3086.1MB, alloc=4.9MB, time=141.60
t[1] = 2.173
x2[1] (analytic) = 1.0154679842943342016402172925374
x2[1] (numeric) = 1.0156833239530231804264152726596
absolute error = 0.00021533965868897878619798012217168
relative error = 0.021205952528244594575398048223388 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000204904075222738651078862041
x1[1] (numeric) = 2.0000160216594755780118015178924
absolute error = 0.00018888241574716063927734414861382
relative error = 0.0094431533170592226853790378003624 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.666e+04
Order of pole = 2.339e+08
TOP MAIN SOLVE Loop
memory used=3089.9MB, alloc=4.9MB, time=141.78
t[1] = 2.174
x2[1] (analytic) = 1.0154988487162108763393291541689
x2[1] (numeric) = 1.015715100559177372031446680126
absolute error = 0.00021625184296649569211752595714062
relative error = 0.02129513423278424286417954196063 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002046992735654113805558704788
x1[1] (numeric) = 2.0000152340188038200850183165471
absolute error = 0.00018946525476159129553755393169137
relative error = 0.0094722932523056920153106404792359 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.670e+04
Order of pole = 2.341e+08
TOP MAIN SOLVE Loop
memory used=3093.7MB, alloc=4.9MB, time=141.95
t[1] = 2.175
x2[1] (analytic) = 1.0155297750311534015879296852306
x2[1] (numeric) = 1.015746941965374052587397169484
absolute error = 0.00021716693422065099946748425338634
relative error = 0.021384595465355899640087631018697 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002044946766073747337176251992
x1[1] (numeric) = 2.0000144455900974387581591495315
absolute error = 0.00019004908650993597555847566771425
relative error = 0.0095014828241680893884191456386708 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.673e+04
Order of pole = 2.344e+08
TOP MAIN SOLVE Loop
memory used=3097.6MB, alloc=4.9MB, time=142.13
t[1] = 2.176
x2[1] (analytic) = 1.0155607633629693769128546638144
x2[1] (numeric) = 1.0157788483025268199932228897647
absolute error = 0.00021808493955744308036822595034044
relative error = 0.02147433688115989309785027004416 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002042902841440317354777322926
x1[1] (numeric) = 2.0000136563725680052591402955978
absolute error = 0.00019063391157602647633743669474909
relative error = 0.0095307220618422680424015800396088 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.676e+04
Order of pole = 2.346e+08
TOP MAIN SOLVE Loop
memory used=3101.4MB, alloc=4.9MB, time=142.30
t[1] = 2.177
x2[1] (analytic) = 1.015591813835714367170039921569
x2[1] (numeric) = 1.0158108197018125457640158273081
absolute error = 0.00021900586609817859397590573912278
relative error = 0.021564359136672377496074743889725 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002040860959709899054604876726
x1[1] (numeric) = 2.0000128663654263019927601260822
absolute error = 0.00019121973054468791270036159047941
relative error = 0.0095600109945737344881015466030759 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.680e+04
Order of pole = 2.348e+08
TOP MAIN SOLVE Loop
memory used=3105.2MB, alloc=4.9MB, time=142.48
memory used=3109.0MB, alloc=4.9MB, time=142.65
t[1] = 2.178
x2[1] (analytic) = 1.0156229265736923988691424576546
x2[1] (numeric) = 1.0158428562946719032901454268395
absolute error = 0.0002199297209795044210029691848742
relative error = 0.02165466288964741881026865918942 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002038821118840610536083796682
x1[1] (numeric) = 2.0000120755678823217514814439347
absolute error = 0.00019180654400173930212693573355808
relative error = 0.0095893496516576777800709755282071 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.683e+04
Order of pole = 2.351e+08
TOP MAIN SOLVE Loop
memory used=3112.8MB, alloc=4.9MB, time=142.83
t[1] = 2.179
x2[1] (analytic) = 1.0156541017014564574919063536634
x2[1] (numeric) = 1.0158749582128098971551613223836
absolute error = 0.00022085651135343966325496872012195
relative error = 0.021745248799119082310077404755733 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002036783316792610759938819498
x1[1] (numeric) = 2.0000112839791452669254242103483
absolute error = 0.00019239435253399415056967160154577
relative error = 0.0096187380624389988367643907102127 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.686e+04
Order of pole = 2.353e+08
TOP MAIN SOLVE Loop
memory used=3116.6MB, alloc=4.9MB, time=143.00
t[1] = 2.18
x2[1] (analytic) = 1.0156853393438089858062628657252
x2[1] (numeric) = 1.0159071255881963935145780053644
absolute error = 0.00022178624438740770831513963917332
relative error = 0.02183611752540352205591757251063 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002034747551528097508353326035
x1[1] (numeric) = 2.000010491598423548711567868979
absolute error = 0.00019298315672926103926746362455057
relative error = 0.0096481762563123398103951115512606 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.690e+04
Order of pole = 2.355e+08
TOP MAIN SOLVE Loop
memory used=3120.4MB, alloc=4.9MB, time=143.18
t[1] = 2.181
x2[1] (analytic) = 1.0157166396258023831781580528572
x2[1] (numeric) = 1.0159393585530666515376665043307
absolute error = 0.000222718927264268359508451473515
relative error = 0.021927269730101072310146146763445 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002032713821011305347166953677
x1[1] (numeric) = 2.0000096984249247863221624769595
absolute error = 0.00019357295717634421255421840817245
relative error = 0.0096776642627221135064828597198056 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.693e+04
Order of pole = 2.358e+08
TOP MAIN SOLVE Loop
memory used=3124.3MB, alloc=4.9MB, time=143.35
t[1] = 2.182
x2[1] (analytic) = 1.0157480026727395058831052914223
x2[1] (numeric) = 1.0159716572399218559143824063308
absolute error = 0.00022365456718235003127711490849662
relative error = 0.022018706076098340857865418517008 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002030682123208503590109992522
x1[1] (numeric) = 2.0000089044578558061923478511178
absolute error = 0.00019416375446504416666314813443192
relative error = 0.009707202111162532853122289906313 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.696e+04
Order of pole = 2.360e+08
TOP MAIN SOLVE Loop
memory used=3128.1MB, alloc=4.9MB, time=143.53
memory used=3131.9MB, alloc=4.9MB, time=143.70
t[1] = 2.183
x2[1] (analytic) = 1.0157794286101741684194640243634
x2[1] (numeric) = 1.0160040217815296504295638140767
absolute error = 0.00022459317135548201009978971325825
relative error = 0.022110427227570304232423562622128 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002028652456087994265072529636
x1[1] (numeric) = 2.0000081096964226411869799370186
absolute error = 0.00019475554918615823952731594502515
relative error = 0.009736789831177640420002013145664 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.700e+04
Order of pole = 2.362e+08
TOP MAIN SOLVE Loop
memory used=3135.7MB, alloc=4.9MB, time=143.88
t[1] = 2.184
x2[1] (analytic) = 1.0158109175639116458254501006816
x2[1] (numeric) = 1.0160364523109246726065371056816
absolute error = 0.00022553474701302678108700499998977
relative error = 0.022202433849982404840630628512331 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002026624817620110082406307634
x1[1] (numeric) = 2.0000073141398305298066636076559
absolute error = 0.00019534834193148120157702310750027
relative error = 0.0097664274523613379872037308288256 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.703e+04
Order of pole = 2.365e+08
TOP MAIN SOLVE Loop
memory used=3139.5MB, alloc=4.9MB, time=144.05
t[1] = 2.185
x2[1] (analytic) = 1.0158424696600091770018870754557
x2[1] (numeric) = 1.016068948961409089422272644962
absolute error = 0.00022647930139991242038556950625015
relative error = 0.022294726610092649982669339437537 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002024599205777212405257265895
x1[1] (numeric) = 2.0000065177872839153929910978277
absolute error = 0.00019594213329380584753462876179117
relative error = 0.0097961150043574161638111471086887 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.706e+04
Order of pole = 2.367e+08
TOP MAIN SOLVE Loop
memory used=3143.3MB, alloc=4.9MB, time=144.23
t[1] = 2.186
x2[1] (analytic) = 1.0158740850247764690427118635631
x2[1] (numeric) = 1.0161015118665531340962368800694
absolute error = 0.00022742684177666505352501650629817
relative error = 0.022387306175953712761639570078423 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002022575618533689221926734734
x1[1] (numeric) = 2.0000057206379864453329852794315
absolute error = 0.00019653692386692358920739404197781
relative error = 0.0098258525168595840563583770173492 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.710e+04
Order of pole = 2.370e+08
TOP MAIN SOLVE Loop
memory used=3147.1MB, alloc=4.9MB, time=144.41
t[1] = 2.187
x2[1] (analytic) = 1.0159057637847762025752521711773
x2[1] (numeric) = 1.0161341411601956439550915665826
absolute error = 0.00022837737541944137983939540526215
relative error = 0.022480173216915034877634677663281 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002020554053865953120259254907
x1[1] (numeric) = 2.0000049226911409702627469821245
absolute error = 0.00019713271424562504927894336616668
relative error = 0.0098556400196114989871476172545978 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.713e+04
Order of pole = 2.372e+08
TOP MAIN SOLVE Loop
memory used=3151.0MB, alloc=4.9MB, time=144.58
memory used=3154.8MB, alloc=4.9MB, time=144.76
t[1] = 2.188
x2[1] (analytic) = 1.0159375060668245381122971681085
x2[1] (numeric) = 1.0161668369764445993753951581631
absolute error = 0.00022933090962006126309799005458006
relative error = 0.022573328403624931301206996726442 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002018534509752439264054996818
x1[1] (numeric) = 2.0000041239459495432703055629958
absolute error = 0.00019772950502570065609993668600207
relative error = 0.0098854775424067962624658962800308 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.716e+04
Order of pole = 2.374e+08
TOP MAIN SOLVE Loop
memory used=3158.6MB, alloc=4.9MB, time=144.93
t[1] = 2.189
x2[1] (analytic) = 1.015969311997991623417986911122
x2[1] (numeric) = 1.0161995994496776638064657234716
absolute error = 0.00023028745168604038847881234954732
relative error = 0.022666772408032696821038771941111 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002016516984173603371504755862
x1[1] (numeric) = 2.0000033244016134190976719280996
absolute error = 0.00019832729680394123947854748653008
relative error = 0.0099153651150891189907307700440513 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.720e+04
Order of pole = 2.377e+08
TOP MAIN SOLVE Loop
memory used=3162.4MB, alloc=4.9MB, time=145.11
t[1] = 2.19
x2[1] (analytic) = 1.01600118170560210188955008355
x2[1] (numeric) = 1.0162324287145427248755690722811
absolute error = 0.00023124700894062298601898873109623
relative error = 0.022760505903390714460593596528837 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002014501475111919695645502313
x1[1] (numeric) = 2.0000025240573330533420932079044
absolute error = 0.00019892609017813862747134232694285
relative error = 0.0099453027675521479505948794261443 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.723e+04
Order of pole = 2.379e+08
TOP MAIN SOLVE Loop
memory used=3166.2MB, alloc=4.9MB, time=145.28
t[1] = 2.191
x2[1] (analytic) = 1.0160331153172356219569236797991
x2[1] (numeric) = 1.0162653249059584365776001066142
absolute error = 0.00023220958872281462067642681517783
relative error = 0.02285452956425656575848204509098 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002012487980551879006834466241
x1[1] (numeric) = 2.0000017229123081016565082879109
absolute error = 0.00019952588574708624417515871313253
relative error = 0.0099752905297396315090393352122304 %
Correct digits = 4
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.727e+04
Order of pole = 2.381e+08
TOP MAIN SOLVE Loop
memory used=3170.0MB, alloc=4.9MB, time=145.46
t[1] = 2.192
x2[1] (analytic) = 1.0160651129607273475022923347914
x2[1] (numeric) = 1.0162982881591147625514297543068
absolute error = 0.0002331751983874150491374195154065
relative error = 0.022948844066495142907233638822227 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002010476498479986577239739904
x1[1] (numeric) = 2.0000009209657374189492033948964
absolute error = 0.0002001266841105797085205790939824
relative error = 0.01000532843164541558948594623668 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.730e+04
Order of pole = 2.384e+08
TOP MAIN SOLVE Loop
memory used=3173.8MB, alloc=4.9MB, time=145.64
t[1] = 2.193
memory used=3177.7MB, alloc=4.9MB, time=145.81
x2[1] (analytic) = 1.0160971747641684693015890779505
x2[1] (numeric) = 1.0163313186094735204450941926595
absolute error = 0.00023414384530505114350511470904333
relative error = 0.023043450087280762745125557449506 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002008467026884760167345382129
x1[1] (numeric) = 2.000000118216819058582666938438
absolute error = 0.00020072848586941743406759977491922
relative error = 0.010035416503313473689958356138752 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.733e+04
Order of pole = 2.386e+08
TOP MAIN SOLVE Loop
memory used=3181.5MB, alloc=4.9MB, time=145.99
t[1] = 2.194
x2[1] (analytic) = 1.0161293008559067174900033790917
x2[1] (numeric) = 1.0163644163927689273720074288157
absolute error = 0.00023511553686220988200404972402397
relative error = 0.023138348305099282595676615388196 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002006459563756728014469011172
x1[1] (numeric) = 1.9999993146647502715716428065728
absolute error = 0.00020133129162540122980409454444574
relative error = 0.010065554774837936951322204037855 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.737e+04
Order of pole = 2.389e+08
TOP MAIN SOLVE Loop
memory used=3185.3MB, alloc=4.9MB, time=146.16
t[1] = 2.195
x2[1] (analytic) = 1.0161614913645468750535464495084
x2[1] (numeric) = 1.0163975816450081464603826712051
absolute error = 0.00023609028046127140683622169666729
relative error = 0.023233539399750217949372949017161 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002004454107088426823289874577
x1[1] (numeric) = 1.9999985103087275057803813136455
absolute error = 0.00020193510198133690194767381216682
relative error = 0.010095743276363124275634474317168 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.740e+04
Order of pole = 2.391e+08
TOP MAIN SOLVE Loop
memory used=3189.1MB, alloc=4.9MB, time=146.34
t[1] = 2.196
x2[1] (analytic) = 1.0161937464189512923487278656717
x2[1] (numeric) = 1.0164308145024718344980523028387
absolute error = 0.00023706808352054214932443716702495
relative error = 0.023329024052348861982149617140397 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002002450654874399758385386568
x1[1] (numeric) = 1.9999977051479464051190869975966
absolute error = 0.00020253991754103485675154106021877
relative error = 0.010125982038083572494632250620849 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.743e+04
Order of pole = 2.393e+08
TOP MAIN SOLVE Loop
memory used=3192.9MB, alloc=4.9MB, time=146.51
t[1] = 2.197
x2[1] (analytic) = 1.0162260661482404026524016953099
x2[1] (numeric) = 1.0164641151017146906748806524526
absolute error = 0.00023804895347428802247895714264105
relative error = 0.023424802945328406905109897120704 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0002000449205111194438774125508
x1[1] (numeric) = 1.9999968991816018087395624631368
absolute error = 0.00020314573890931070431494941400831
relative error = 0.010156271090244066588391139116353 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.747e+04
Order of pole = 2.396e+08
TOP MAIN SOLVE Loop
memory used=3196.7MB, alloc=4.9MB, time=146.69
t[1] = 2.198
x2[1] (analytic) = 1.016258450681793238743844426214
x2[1] (numeric) = 1.0164974835795660064249681534868
absolute error = 0.00023903289777276768112372727288079
relative error = 0.023520876762442067139921464334127 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001998449755797360934463285959
x1[1] (numeric) = 1.9999960924088877502300474664531
memory used=3200.6MB, alloc=4.9MB, time=146.87
absolute error = 0.00020375256669198586339886214276827
relative error = 0.010186610463139669954183676050312 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.750e+04
Order of pole = 2.398e+08
TOP MAIN SOLVE Loop
memory used=3204.4MB, alloc=4.9MB, time=147.05
t[1] = 2.199
x2[1] (analytic) = 1.0162909001492479505211311269391
x2[1] (numeric) = 1.0165309200731302163708498836751
absolute error = 0.00024001992388226584971875673605515
relative error = 0.023617246188765204314285871996619 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001996452304933449764998581902
x1[1] (numeric) = 1.9999952848289974568092524362845
absolute error = 0.00020436040149588816724742190564072
relative error = 0.010217000187115754725568084634094 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.754e+04
Order of pole = 2.401e+08
TOP MAIN SOLVE Loop
memory used=3208.2MB, alloc=4.9MB, time=147.22
t[1] = 2.2
x2[1] (analytic) = 1.016323414680502323653880405673
x2[1] (numeric) = 1.0165644247197874503718958896244
absolute error = 0.00024101003928512671801548395141395
relative error = 0.02371391191069745407183480154976 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001994456850522009900014599665
x1[1] (numeric) = 1.9999944764411233485195856254017
absolute error = 0.00020496924392885247041583456480746
relative error = 0.010247440292568032141737796333513 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.757e+04
Order of pole = 2.403e+08
TOP MAIN SOLVE Loop
memory used=3212.0MB, alloc=4.9MB, time=147.40
t[1] = 2.201
x2[1] (analytic) = 1.0163559944057142992744428789128
x2[1] (numeric) = 1.0165979976571940866791251212016
absolute error = 0.00024200325147978740468224228880469
relative error = 0.02381087461596485469076343015293 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001992463390567586761783601102
x1[1] (numeric) = 1.9999936672444570374195730857166
absolute error = 0.00020557909459972125660527439360208
relative error = 0.010277930809942582967162201706391 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.760e+04
Order of pole = 2.405e+08
TOP MAIN SOLVE Loop
memory used=3215.8MB, alloc=4.9MB, time=147.57
t[1] = 2.202
x2[1] (analytic) = 1.0163886394553024947096120152705
x2[1] (numeric) = 1.016631639023283306198649229832
absolute error = 0.00024299956798081148903721456150318
relative error = 0.023908134993621977505467960907307 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001990471923076720229760779576
x1[1] (numeric) = 1.999992857238189326775470659443
absolute error = 0.0002061899541183452475054185145596
relative error = 0.010308471769735887961549146031673 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.764e+04
Order of pole = 2.408e+08
TOP MAIN SOLVE Loop
memory used=3219.6MB, alloc=4.9MB, time=147.75
t[1] = 2.203
x2[1] (analytic) = 1.0164213499599467252549403817172
x2[1] (numeric) = 1.0166653489562656478659669229707
absolute error = 0.00024399899631892261102654125351927
relative error = 0.024005693734054059125410882723977 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001988482446057942647123973292
x1[1] (numeric) = 1.9999920464215102102520671779192
absolute error = 0.00020680182309558401264521940998874
relative error = 0.010339063202494858400159735104754 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
memory used=3223.4MB, alloc=4.9MB, time=147.92
NO POLE for equation 2
Radius of convergence = 6.767e+04
Order of pole = 2.410e+08
TOP MAIN SOLVE Loop
memory used=3227.3MB, alloc=4.9MB, time=148.10
t[1] = 2.204
x2[1] (analytic) = 1.0164541260505885269937484899008
x2[1] (numeric) = 1.0166991275946295651333340140534
absolute error = 0.00024500154404103813958552415267762
relative error = 0.024103551528979135445393869735403 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001986494957521776829305842523
x1[1] (numeric) = 1.9999912347936088711026780588964
absolute error = 0.00020741470214330658025252535589023
relative error = 0.010369705138816866644506066735532 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.770e+04
Order of pole = 2.413e+08
TOP MAIN SOLVE Loop
memory used=3231.1MB, alloc=4.9MB, time=148.27
t[1] = 2.205
x2[1] (analytic) = 1.0164869678584316806629176188414
x2[1] (numeric) = 1.0167329750771419835724387631775
absolute error = 0.00024600721871030290952114433607728
relative error = 0.02420170907145017744137439432698 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000198450945548073407451651925
x1[1] (numeric) = 1.9999904223536736813583284922861
absolute error = 0.0002080285918743920491231596388925
relative error = 0.010400397609349776763462553678597 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.774e+04
Order of pole = 2.415e+08
TOP MAIN SOLVE Loop
memory used=3234.9MB, alloc=4.9MB, time=148.45
t[1] = 2.206
x2[1] (analytic) = 1.0165198755149427365675621773501
x2[1] (numeric) = 1.0167668915428488595946165686364
absolute error = 0.00024701602790612302705439128626008
relative error = 0.024300167055857228745918112723584 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001982525937949312176254739748
x1[1] (numeric) = 1.9999896091008922010161254035495
absolute error = 0.00020864349290273020150007042533484
relative error = 0.010431140644791975204821553948874 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.777e+04
Order of pole = 2.417e+08
TOP MAIN SOLVE Loop
memory used=3238.7MB, alloc=4.9MB, time=148.62
t[1] = 2.207
x2[1] (analytic) = 1.0165528491518515405466813649332
x2[1] (numeric) = 1.0168008771310757402908425432388
absolute error = 0.00024802797922419974416117830568015
relative error = 0.024398926177929544997334887094312 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001980544402943993437805472626
x1[1] (numeric) = 1.9999887950344511772268173831009
absolute error = 0.00020925940584322211696316416169917
relative error = 0.010461934275892401517324074731046 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.781e+04
Order of pole = 2.420e+08
TOP MAIN SOLVE Loop
memory used=3242.5MB, alloc=4.9MB, time=148.80
t[1] = 2.208
x2[1] (analytic) = 1.0165858889011517609918940937656
x2[1] (numeric) = 1.0168349319814283243937449921106
absolute error = 0.00024904308027656340185089834498303
relative error = 0.024497987134737734956501932826108 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001978564848483242688722056822
x1[1] (numeric) = 1.9999879801535365434815417692859
absolute error = 0.00020987633131178078733043639627485
relative error = 0.010492778533450579123196366377242 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.784e+04
Order of pole = 2.422e+08
memory used=3246.3MB, alloc=4.9MB, time=148.98
TOP MAIN SOLVE Loop
memory used=3250.1MB, alloc=4.9MB, time=149.15
t[1] = 2.209
x2[1] (analytic) = 1.0166189948951014169213653465528
x2[1] (numeric) = 1.0168690562337930243638873004211
absolute error = 0.00025006133869160744252195386829245
relative error = 0.024597350624695903385333023452275 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001976587272587505303290866023
x1[1] (numeric) = 1.9999871644573334187977580716791
absolute error = 0.00021049426992533173257101492323851
relative error = 0.010523673448316646141223273304845 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.787e+04
Order of pole = 2.425e+08
TOP MAIN SOLVE Loop
memory used=3254.0MB, alloc=4.9MB, time=149.33
t[1] = 2.21
x2[1] (analytic) = 1.0166521672662234071110363657655
x2[1] (numeric) = 1.0169032500283375296025702402128
absolute error = 0.0002510827621141224915338744472875
relative error = 0.024697017347563795680807948192996 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001974611673279205220976517994
x1[1] (numeric) = 1.9999863479450261069043669206372
absolute error = 0.00021111322230181361773073116224363
relative error = 0.010554619051391386260389258954832 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.791e+04
Order of pole = 2.427e+08
TOP MAIN SOLVE Loop
memory used=3257.8MB, alloc=4.9MB, time=149.50
t[1] = 2.211
x2[1] (analytic) = 1.016685406147306040285275298853
x2[1] (numeric) = 1.0169375135055113707934112152594
absolute error = 0.00025210735820533050813591640645682
relative error = 0.024796988004448944258431497659532 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001972638048582742968845649242
x1[1] (numeric) = 1.999985530615798095426013728225
absolute error = 0.00021173318906017887087083669914241
relative error = 0.010585615373626259664118072350972 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.794e+04
Order of pole = 2.430e+08
TOP MAIN SOLVE Loop
memory used=3261.6MB, alloc=4.9MB, time=149.68
t[1] = 2.212
x2[1] (analytic) = 1.0167187116714035663690691616226
x2[1] (numeric) = 1.0169718468060464853749614816582
absolute error = 0.00025313513464291900589232003566577
relative error = 0.024897263297808816678946151478935 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001970666396524493685967277447
x1[1] (numeric) = 1.9999847124688320550665762448181
absolute error = 0.00021235417082039430202048292660805
relative error = 0.010616662446023434005142074211428 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.798e+04
Order of pole = 2.432e+08
TOP MAIN SOLVE Loop
memory used=3265.4MB, alloc=4.9MB, time=149.85
t[1] = 2.213
x2[1] (analytic) = 1.0167520839718367088038822280418
x2[1] (numeric) = 1.017006250070957784146626909686
absolute error = 0.00025416609912107534274468164419585
relative error = 0.024997843931452965512077356898449 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001968696715132805149787776068
x1[1] (numeric) = 1.9999838935033098387918351948696
absolute error = 0.00021297616820344172314358273718875
relative error = 0.010647760299635815431032291006927 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.801e+04
Order of pole = 2.434e+08
memory used=3269.2MB, alloc=4.9MB, time=150.03
TOP MAIN SOLVE Loop
memory used=3273.0MB, alloc=4.9MB, time=150.21
t[1] = 2.214
x2[1] (analytic) = 1.0167855231821931979293102092874
x2[1] (numeric) = 1.0170407234415437190101623893413
absolute error = 0.00025520025935052108085218005384395
relative error = 0.025098730610545179931044819314646 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001966729002437995804478487478
x1[1] (numeric) = 1.9999830737184124810113271745121
absolute error = 0.00021359918183131856912067423570662
relative error = 0.010678908965567079660420315833718 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.804e+04
Order of pole = 2.437e+08
TOP MAIN SOLVE Loop
memory used=3276.8MB, alloc=4.9MB, time=150.38
t[1] = 2.215
x2[1] (analytic) = 1.0168190294363283054326638479523
x2[1] (numeric) = 1.0170752670593868518490145279709
absolute error = 0.0002562376230585464163506800186347
relative error = 0.025199924041605639031527573627319 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001964763256472352791254003003
x1[1] (numeric) = 1.9999822531133201967593789928474
absolute error = 0.00021422321232703851974640745291709
relative error = 0.010710108474971703109943225475105 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.808e+04
Order of pole = 2.439e+08
TOP MAIN SOLVE Loop
memory used=3280.7MB, alloc=4.9MB, time=150.56
t[1] = 2.216
x2[1] (analytic) = 1.0168526028683653798686198249409
x2[1] (numeric) = 1.0171098810663544245477918434572
absolute error = 0.00025727819798904467917201851633894
relative error = 0.025301424932513066868724768827751 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001962799475270129980659140154
x1[1] (numeric) = 1.9999814316872123808753226379575
absolute error = 0.00021484826031463212274327605796734
relative error = 0.010741358859054994071942733562419 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.811e+04
Order of pole = 2.442e+08
TOP MAIN SOLVE Loop
memory used=3284.5MB, alloc=4.9MB, time=150.73
t[1] = 2.217
x2[1] (analytic) = 1.0168862436126963832510811567575
x2[1] (numeric) = 1.017144565604598930154146220641
absolute error = 0.00025832199190254690306506388344095
relative error = 0.025403233992506889206108076779941 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001960837656867546006822649363
x1[1] (numeric) = 1.9999806094392676071828900478528
absolute error = 0.00021547432641914741779221708343734
relative error = 0.010772660149073123942949850314992 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.815e+04
Order of pole = 2.444e+08
TOP MAIN SOLVE Loop
memory used=3288.3MB, alloc=4.9MB, time=150.90
t[1] = 2.218
x2[1] (analytic) = 1.0169199518039824287193935496301
x2[1] (numeric) = 1.0171793208165586851853539719917
absolute error = 0.00025936901257625646596042236159815
relative error = 0.025505351932189391969415429226188 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001958877799302782303675684461
x1[1] (numeric) = 1.9999797863686636276687868657525
absolute error = 0.00021610141126665056158070269361523
relative error = 0.010804012376333158502986369939013 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.818e+04
Order of pole = 2.447e+08
memory used=3292.1MB, alloc=4.9MB, time=151.08
TOP MAIN SOLVE Loop
memory used=3295.9MB, alloc=4.9MB, time=151.26
t[1] = 2.219
x2[1] (analytic) = 1.0169537275771543192810684742427
x2[1] (numeric) = 1.0172141468449584030818894260338
absolute error = 0.00026041926780408380082095179113082
relative error = 0.025607779463527881399389394129185 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001956919900615981143133073127
x1[1] (numeric) = 1.9999789624745773716604443582685
absolute error = 0.000216729515484226453868949044151
relative error = 0.010835415572193089245714557397158 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.821e+04
Order of pole = 2.449e+08
TOP MAIN SOLVE Loop
memory used=3299.7MB, alloc=4.9MB, time=151.43
t[1] = 2.22
x2[1] (analytic) = 1.0169875710674130876331680307776
x2[1] (numeric) = 1.0172490438328097688102885587044
absolute error = 0.0002614727653966811771205279268099
relative error = 0.025710517299856845896716923035027 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000195496395884924367523542548
x1[1] (numeric) = 1.9999781377561849450029486742486
absolute error = 0.00021735863969997936457486829934933
relative error = 0.010866869768061864759466456924652 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.825e+04
Order of pole = 2.451e+08
TOP MAIN SOLVE Loop
memory used=3303.6MB, alloc=4.9MB, time=151.61
t[1] = 2.221
x2[1] (analytic) = 1.0170214824102305370645109885184
x2[1] (numeric) = 1.0172840119234120146176047836827
absolute error = 0.000262529513181477553093795164327
relative error = 0.025813566155880119552580434688518 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001953009972046627970250120961
x1[1] (numeric) = 1.999977312212661629235146621204
absolute error = 0.00021798878454303356187839089210599
relative error = 0.010898374995399422159184295362967 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.828e+04
Order of pole = 2.454e+08
TOP MAIN SOLVE Loop
memory used=3307.4MB, alloc=4.9MB, time=151.79
t[1] = 2.222
x2[1] (analytic) = 1.017055461741349783440863707456
x2[1] (numeric) = 1.0173190512603524969397636278094
absolute error = 0.00026358951900271349889992035347816
relative error = 0.025916926747673047358183246136697 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001951057938254147062729215605
x1[1] (numeric) = 1.9999764858431818807649271354297
absolute error = 0.00021861995064353394134578613086239
relative error = 0.010929931285716718569303504109726 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.832e+04
Order of pole = 2.456e+08
TOP MAIN SOLVE Loop
memory used=3311.2MB, alloc=4.9MB, time=151.96
t[1] = 2.223
x2[1] (analytic) = 1.0170895091967857982752839811796
x2[1] (numeric) = 1.0173541619875072744661276370171
absolute error = 0.00026465279072147619084365583742661
relative error = 0.026020599792684652086565220501003 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001949107855519766997522313764
x1[1] (numeric) = 1.9999756586469193300436776210984
absolute error = 0.00021925213863264665607461027795126
relative error = 0.010961538670575762657609934242698 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.835e+04
Order of pole = 2.459e+08
TOP MAIN SOLVE Loop
memory used=3315.0MB, alloc=4.9MB, time=152.14
memory used=3318.8MB, alloc=4.9MB, time=152.31
t[1] = 2.224
x2[1] (analytic) = 1.0171236249128259528857901808527
x2[1] (numeric) = 1.0173893442490416873625874867503
absolute error = 0.00026571933621573447679730589758033
relative error = 0.026124586009739802839977169965005 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000194715972189340487774245028
x1[1] (numeric) = 1.9999748306230467807399143327837
absolute error = 0.00021988534914255974785991224433408
relative error = 0.01099319718158964622010289016695 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.838e+04
Order of pole = 2.461e+08
TOP MAIN SOLVE Loop
memory used=3322.6MB, alloc=4.9MB, time=152.49
t[1] = 2.225
x2[1] (analytic) = 1.0171578090260305636425324292763
x2[1] (numeric) = 1.017424598189410937655499908678
absolute error = 0.00026678916338037401296747940178565
relative error = 0.026228886119041385256035032794771 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.00019452135354269269146830311
x1[1] (numeric) = 1.999974001770736208912085975043
absolute error = 0.00022051958280648377938232806698859
relative error = 0.011024906850422575816895657957445 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.842e+04
Order of pole = 2.464e+08
TOP MAIN SOLVE Loop
memory used=3326.4MB, alloc=4.9MB, time=152.66
t[1] = 2.226
x2[1] (analytic) = 1.0171920616732334383066468919575
x2[1] (numeric) = 1.0174599239533606707787976926083
absolute error = 0.0002678622801272324721508006508558
relative error = 0.026333500842172473365827133864083 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001943269294174146479683882217
x1[1] (numeric) = 1.9999731720891587621805496918646
absolute error = 0.00022115484025865246741869635709344
relative error = 0.011056667708789904459185255424634 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.845e+04
Order of pole = 2.466e+08
TOP MAIN SOLVE Loop
memory used=3330.3MB, alloc=4.9MB, time=152.84
t[1] = 2.227
x2[1] (analytic) = 1.0172263829915424234629786387339
x2[1] (numeric) = 1.0174953216859275582866016789299
absolute error = 0.00026893869438513482362304019608405
relative error = 0.026438430902098503097099938677683 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001941326996190822157944458835
x1[1] (numeric) = 1.9999723415774847588987186179538
absolute error = 0.00022179112213432331707582792967832
relative error = 0.011088479788458163347323181817899 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.849e+04
Order of pole = 2.469e+08
TOP MAIN SOLVE Loop
memory used=3334.1MB, alloc=4.9MB, time=153.01
t[1] = 2.228
x2[1] (analytic) = 1.0172607731183399530488629048854
x2[1] (numeric) = 1.0175307915324398817336693226449
absolute error = 0.00027001841409992868480641775949777
relative error = 0.02654367702316944741559962075318 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000193938663953465580428226854
x1[1] (numeric) = 1.9999715102348836873233801630054
absolute error = 0.00022242842906977825704806384856197
relative error = 0.011120343121245093660018996001229 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.852e+04
Order of pole = 2.471e+08
TOP MAIN SOLVE Loop
memory used=3337.9MB, alloc=4.9MB, time=153.19
memory used=3341.7MB, alloc=4.9MB, time=153.36
t[1] = 2.229
x2[1] (analytic) = 1.017295232191283597981158964802
x2[1] (numeric) = 1.0175663336385181177260190851323
absolute error = 0.00027110144723451974486012033035773
relative error = 0.026649239931121993097598480916379 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001937448222265290600834564268
x1[1] (numeric) = 1.9999706780605242047841841992826
absolute error = 0.00022306676170232427589925714418903
relative error = 0.011152257739019678394708602887123 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.856e+04
Order of pole = 2.474e+08
TOP MAIN SOLVE Loop
memory used=3345.5MB, alloc=4.9MB, time=153.54
t[1] = 2.23
x2[1] (analytic) = 1.0173297603483066168837352241901
x2[1] (numeric) = 1.0176019481500755241440745942271
absolute error = 0.00027218780176890726033937003696379
relative error = 0.026755120353081719126586784065445 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001935511742444309116701364738
x1[1] (numeric) = 1.9999698450535741368523003219874
absolute error = 0.00022370612067029405936981448640063
relative error = 0.011184223673702174259119178898685 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.859e+04
Order of pole = 2.476e+08
TOP MAIN SOLVE Loop
memory used=3349.3MB, alloc=4.9MB, time=153.72
t[1] = 2.231
x2[1] (analytic) = 1.0173643577276185079176085385114
x2[1] (numeric) = 1.0176376352133187275406772070147
absolute error = 0.00027327748570021962306866850336375
relative error = 0.026861319017565276707061913746154 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001933577198135231369527862024
x1[1] (numeric) = 1.9999690112132004765082433510831
absolute error = 0.0002243465066130466287094351192332
relative error = 0.011216240957264143614062718246039 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.862e+04
Order of pole = 2.479e+08
TOP MAIN SOLVE Loop
memory used=3353.1MB, alloc=4.9MB, time=153.89
t[1] = 2.232
x2[1] (analytic) = 1.0173990244677055617159451758662
x2[1] (numeric) = 1.0176733949747483117163203129635
absolute error = 0.00027437050704275000037513709724865
relative error = 0.026967836654482570888297886932616 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001931644587403512889024277821
x1[1] (numeric) = 1.9999681765385693833088662423916
absolute error = 0.00022498792017096798003618539053805
relative error = 0.011248309621728486467490232851754 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.866e+04
Order of pole = 2.481e+08
TOP MAIN SOLVE Loop
memory used=3357.0MB, alloc=4.9MB, time=154.07
t[1] = 2.233
x2[1] (analytic) = 1.0174337607073314154261352618889
x2[1] (numeric) = 1.0177092275811594074739634276482
absolute error = 0.00027546687382799204782816575933033
relative error = 0.027074673995138943790929220204287 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001929713908316542782421231948
x1[1] (numeric) = 1.9999673410288461825535195749593
absolute error = 0.00022563036198547172472254823554907
relative error = 0.011280429699169472519838689840903 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.869e+04
Order of pole = 2.484e+08
TOP MAIN SOLVE Loop
memory used=3360.8MB, alloc=4.9MB, time=154.25
memory used=3364.6MB, alloc=4.9MB, time=154.42
t[1] = 2.234
x2[1] (analytic) = 1.0174685665855376078611569724164
x2[1] (numeric) = 1.0177451331796422835557888493934
absolute error = 0.000276566594104675694631876977012
relative error = 0.0271818317722373594291338935294 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001927785158943641801858688525
x1[1] (numeric) = 1.999966504683195364449376780852
absolute error = 0.00022627383269899973080908800050179
relative error = 0.011312601221712773260702821624755 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.873e+04
Order of pole = 2.486e+08
TOP MAIN SOLVE Loop
memory used=3368.4MB, alloc=4.9MB, time=154.60
t[1] = 2.235
x2[1] (analytic) = 1.01750344224164413576245117676
x2[1] (numeric) = 1.0177811119175829387642683826874
absolute error = 0.00027766967593880300181720592735947
relative error = 0.027289310719880590121150718585471 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001925858337356060413706547223
x1[1] (numeric) = 1.9999656675007805832759242827023
absolute error = 0.00022691833295502276544637202002185
relative error = 0.011344824221535494116863994752984 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.876e+04
Order of pole = 2.489e+08
TOP MAIN SOLVE Loop
memory used=3372.2MB, alloc=4.9MB, time=154.77
t[1] = 2.236
x2[1] (analytic) = 1.017538387815250011176531680353
x2[1] (numeric) = 1.0178171639426636952699123732204
absolute error = 0.00027877612741368409338069286744163
relative error = 0.027397111573573404480816784447237 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001923933441626976869814948906
x1[1] (numeric) = 1.9999648294807646565486157035004
absolute error = 0.00022756386339804113836579139025799
relative error = 0.011377098730866206651708374887685 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.880e+04
Order of pole = 2.491e+08
TOP MAIN SOLVE Loop
memory used=3376.0MB, alloc=4.9MB, time=154.95
t[1] = 2.237
x2[1] (analytic) = 1.0175734034462338199475606703962
x2[1] (numeric) = 1.0178532894028637931080780498914
absolute error = 0.00027988595662997316051737949521695
relative error = 0.027505235070224756982760824029108 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001922010469831495280692366912
x1[1] (numeric) = 1.9999639906223095641816893122825
absolute error = 0.00022821042467358534637992440863415
relative error = 0.01140942478198498081606667646349 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.883e+04
Order of pole = 2.494e+08
TOP MAIN SOLVE Loop
memory used=3379.8MB, alloc=4.9MB, time=155.12
t[1] = 2.238
x2[1] (analytic) = 1.0176084892747542813281234318895
x2[1] (numeric) = 1.017889488446459985867218929132
absolute error = 0.00028099917170570453909549724248584
relative error = 0.027613681948149979093838319360325 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001920089420046643690609557152
x1[1] (numeric) = 1.9999631509245764476501478685346
absolute error = 0.00022885801742821671891308718063759
relative error = 0.011441802407223417250507836841756 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.887e+04
Order of pole = 2.496e+08
TOP MAIN SOLVE Loop
memory used=3383.7MB, alloc=4.9MB, time=155.30
memory used=3387.5MB, alloc=4.9MB, time=155.48
t[1] = 2.239
x2[1] (analytic) = 1.0176436454412508087104408741384
x2[1] (numeric) = 1.0179257612220271375709618064326
absolute error = 0.00028211578077632886052093229419403
relative error = 0.027722452947072971963343942073787 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001918170290351372154627442138
x1[1] (numeric) = 1.9999623103867256091509000272895
absolute error = 0.00022950664230952806456271692424758
relative error = 0.011474231638964679639119006043109 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.890e+04
Order of pole = 2.498e+08
TOP MAIN SOLVE Loop
memory used=3391.3MB, alloc=4.9MB, time=155.65
t[1] = 2.24
x2[1] (analytic) = 1.0176788720864440714802628894828
x2[1] (numeric) = 1.0179621078784388207564026390396
absolute error = 0.00028323579199474927613974955675242
relative error = 0.027831548808128400664486506880837 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001916253078826550817547005949
x1[1] (numeric) = 1.9999614690079165107630624660615
absolute error = 0.00023015629996614431869223453344183
relative error = 0.011506712509643527114804294451765 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.893e+04
Order of pole = 2.501e+08
TOP MAIN SOLVE Loop
memory used=3395.1MB, alloc=4.9MB, time=155.83
t[1] = 2.241
x2[1] (analytic) = 1.0177141693513365579956900566227
x2[1] (numeric) = 1.017998528564867915751017412446
absolute error = 0.00028435921353135775532735582322632
relative error = 0.027940970273863889979560999760934 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001914337783554967994779279113
x1[1] (numeric) = 1.9999606267873077736074218939176
absolute error = 0.00023080699104772319205603399369708
relative error = 0.011539245051746346716134772226901 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.897e+04
Order of pole = 2.503e+08
TOP MAIN SOLVE Loop
memory used=3398.9MB, alloc=4.9MB, time=156.00
t[1] = 2.242
x2[1] (analytic) = 1.0177495373772131396931757005345
x2[1] (numeric) = 1.018035023430787211150588881541
absolute error = 0.00028548605357407145741318100643876
relative error = 0.0280507180882422217212014285935 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001912424402621328255133494241
x1[1] (numeric) = 1.9999597837240571770050561021495
absolute error = 0.00023145871620495582045724727452751
relative error = 0.0115718292978111858957822655311 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.900e+04
Order of pole = 2.506e+08
TOP MAIN SOLVE Loop
memory used=3402.7MB, alloc=4.9MB, time=156.18
t[1] = 2.243
x2[1] (analytic) = 1.0177849763056416363229648295997
x2[1] (numeric) = 1.0180715926259700055005548851331
absolute error = 0.00028661632032836917759005553342598
relative error = 0.028160792996643533582047231475548 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001910512934112250505521495236
x1[1] (numeric) = 1.9999589398173216576351132151668
absolute error = 0.00023211147608956741543893435687978
relative error = 0.011604465280427785080569546093551 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.904e+04
Order of pole = 2.509e+08
TOP MAIN SOLVE Loop
memory used=3406.5MB, alloc=4.9MB, time=156.36
memory used=3410.4MB, alloc=4.9MB, time=156.53
t[1] = 2.244
x2[1] (analytic) = 1.0178204862784733823162309882195
x2[1] (numeric) = 1.018108236300490710183188750037
absolute error = 0.00028775002201732786695776181748009
relative error = 0.028271195745867519505104766479036 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001908603376116266077576484755
x1[1] (numeric) = 1.9999580950662573086917482993889
absolute error = 0.00023276527135431791600934908662916
relative error = 0.011637153032237610283169562066211 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.907e+04
Order of pole = 2.511e+08
TOP MAIN SOLVE Loop
memory used=3414.2MB, alloc=4.9MB, time=156.71
t[1] = 2.245
x2[1] (analytic) = 1.0178560674378437942861765898875
x2[1] (numeric) = 1.0181449546047254535130271280359
absolute error = 0.00028888716688165922685053814841626
relative error = 0.028381927084135631567033995581967 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001906695726723816816184196548
x1[1] (numeric) = 1.9999572494700193790402164870754
absolute error = 0.00023342010265300264140193257949675
relative error = 0.011669892585933885765486409604786 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.911e+04
Order of pole = 2.514e+08
TOP MAIN SOLVE Loop
memory used=3418.0MB, alloc=4.9MB, time=156.88
t[1] = 2.246
x2[1] (analytic) = 1.0178917199261729396653668314516
x2[1] (numeric) = 1.0181817476893526860429654458205
absolute error = 0.00029002776317974637759861436891649
relative error = 0.028492987761093283366538864432706 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001904789984027253169924581221
x1[1] (numeric) = 1.9999564030277622723721217711847
absolute error = 0.00023407597064045294487068693743569
relative error = 0.011702683974261626753750796112961 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.914e+04
Order of pole = 2.516e+08
TOP MAIN SOLVE Loop
memory used=3421.8MB, alloc=4.9MB, time=157.06
t[1] = 2.247
x2[1] (analytic) = 1.017927443886166106481571834137
x2[1] (numeric) = 1.018218615705353787083445994473
absolute error = 0.00029117181918768060187416033603577
relative error = 0.028604378527812054909988067953236 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000190288614612083228342209584
x1[1] (numeric) = 1.9999555557386395463598206265121
absolute error = 0.00023473287597253686852158307191451
relative error = 0.011735527230017672205362797628066 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.918e+04
Order of pole = 2.519e+08
TOP MAIN SOLVE Loop
memory used=3425.6MB, alloc=4.9MB, time=157.23
t[1] = 2.248
x2[1] (analytic) = 1.0179632394608143742743962108413
x2[1] (numeric) = 1.0182555588040136724371685412447
absolute error = 0.00029231934319929816277233040342078
relative error = 0.02871610013679189898634087902927 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001900984211100716091602689745
x1[1] (numeric) = 1.9999547076018039118099796115089
absolute error = 0.00023539081930615979918065746556005
relative error = 0.011768422386050717627514764399253 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.921e+04
Order of pole = 2.521e+08
TOP MAIN SOLVE Loop
memory used=3429.4MB, alloc=4.9MB, time=157.41
memory used=3433.3MB, alloc=4.9MB, time=157.69
t[1] = 2.249
x2[1] (analytic) = 1.0179991067933951861549798222678
x2[1] (numeric) = 1.0182925771369214033517582122705
absolute error = 0.00029347034352621719677839000269837
relative error = 0.028828153341963349023400503148366 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001899084177064969415855580824
x1[1] (numeric) = 1.9999538586164072318162861043421
absolute error = 0.00023604980129926512529945374031132
relative error = 0.011801369475261347947627280315321 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.924e+04
Order of pole = 2.524e+08
TOP MAIN SOLVE Loop
memory used=3437.1MB, alloc=4.9MB, time=158.11
t[1] = 2.25
x2[1] (analytic) = 1.0180350460274729220110580566559
x2[1] (numeric) = 1.0183296708559707966928302705089
absolute error = 0.00029462482849787468177221385305619
relative error = 0.028940538898689728417365005306324 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001897186042113558062097918406
x1[1] (numeric) = 1.9999530087816005209113113259031
absolute error = 0.00023670982261083489489846593758069
relative error = 0.011834368530602070435631133478674 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.928e+04
Order of pole = 2.526e+08
TOP MAIN SOLVE Loop
memory used=3440.9MB, alloc=4.9MB, time=158.53
t[1] = 2.251
x2[1] (analytic) = 1.0180710573068994728596745492091
x2[1] (numeric) = 1.0183668401133610363398962985965
absolute error = 0.0002957828064615634802217493874794
relative error = 0.029053257563769361327593236281871 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001895289804348346920740430845
x1[1] (numeric) = 1.9999521580965339442175248016306
absolute error = 0.00023737088390089047454924145392039
relative error = 0.01186741958507734767812830689455 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.931e+04
Order of pole = 2.529e+08
TOP MAIN SOLVE Loop
memory used=3444.7MB, alloc=4.9MB, time=158.94
t[1] = 2.252
x2[1] (analytic) = 1.0181071407758148163498438478406
x2[1] (numeric) = 1.0184040850615972858075611914942
absolute error = 0.00029694428578246945771734365364435
relative error = 0.029166310095437784928450362954553 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001893395461873098068552157746
x1[1] (numeric) = 1.9999513065603568165974594131603
absolute error = 0.00023803298583049320939580261435228
relative error = 0.011900522671743630604465049950626 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.935e+04
Order of pole = 2.531e+08
TOP MAIN SOLVE Loop
memory used=3448.5MB, alloc=4.9MB, time=159.36
t[1] = 2.253
x2[1] (analytic) = 1.0181432965786475934174661315607
x2[1] (numeric) = 1.018441405853491302094465268789
absolute error = 0.0002981092748437086769991372283265
relative error = 0.029279697253369963110044581185252 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001891503012793468872422368724
x1[1] (numeric) = 1.9999504541722176018030261899675
absolute error = 0.0002386961290617450842160469048375
relative error = 0.011933677823709391564750143101537 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.938e+04
Order of pole = 2.534e+08
TOP MAIN SOLVE Loop
memory used=3452.3MB, alloc=4.9MB, time=159.77
memory used=3456.1MB, alloc=4.9MB, time=160.19
t[1] = 2.254
x2[1] (analytic) = 1.0181795248601156860948006967449
x2[1] (numeric) = 1.0184788026421620507624307313225
absolute error = 0.00029927778204636466763003457757914
relative error = 0.029393419798682501619613359367197 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001889612455217010095017772421
x1[1] (numeric) = 1.9999496009312639116239779903168
absolute error = 0.00023936031425778938552378692534113
relative error = 0.011966885074135157459851519945676 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.942e+04
Order of pole = 2.536e+08
TOP MAIN SOLVE Loop
memory used=3460.0MB, alloc=4.9MB, time=160.61
t[1] = 2.255
x2[1] (analytic) = 1.0182158257652267964768095446663
x2[1] (numeric) = 1.0185162755810363222482766114684
absolute error = 0.00030044981580952577146706680211083
relative error = 0.029507478493935864635264125561794 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001887723787253164002333121477
x1[1] (numeric) = 1.9999487468366425050355212199821
absolute error = 0.00024002554208281136471209216558723
relative error = 0.012000144456233542923404462688028 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.945e+04
Order of pole = 2.539e+08
TOP MAIN SOLVE Loop
memory used=3463.8MB, alloc=4.9MB, time=161.03
t[1] = 2.256
x2[1] (analytic) = 1.0182521994392790268466870310584
x2[1] (numeric) = 1.0185538248238493494107713008879
absolute error = 0.00030162538457032256408426982946111
relative error = 0.02962187410313659276372067063234 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001885837007013262473133320974
x1[1] (numeric) = 1.9999478918874992873450747363505
absolute error = 0.00024069181320203890223859574690105
relative error = 0.012033456003269283555864638822721 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.949e+04
Order of pole = 2.541e+08
TOP MAIN SOLVE Loop
memory used=3467.6MB, alloc=4.9MB, time=161.45
t[1] = 2.257
x2[1] (analytic) = 1.0182886460278614609628961751308
x2[1] (numeric) = 1.0185914505246454263151966839837
absolute error = 0.00030280449678396535230050885298002
relative error = 0.029736607391739522453672693453432 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001883952112610525110285149812
x1[1] (numeric) = 1.9999470360829793093381750846657
absolute error = 0.00024135912828174317285343031550079
relative error = 0.012066819748559269210639298742475 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.952e+04
Order of pole = 2.544e+08
TOP MAIN SOLVE Loop
memory used=3471.4MB, alloc=4.9MB, time=161.86
t[1] = 2.258
x2[1] (analytic) = 1.0183251656768547465100368713898
x2[1] (numeric) = 1.0186291528377785282580028595633
absolute error = 0.0003039871609237817479659881734909
relative error = 0.029851679126650006816271861578786 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001882069102160057353976706347
x1[1] (numeric) = 1.9999461794222267664235272123194
absolute error = 0.00024202748798923931187045831522993
relative error = 0.012100235725472577332330005889387 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.956e+04
Order of pole = 2.546e+08
TOP MAIN SOLVE Loop
memory used=3475.2MB, alloc=4.9MB, time=162.28
memory used=3479.0MB, alloc=4.9MB, time=162.69
t[1] = 2.259
x2[1] (analytic) = 1.0183617585324316787158759028539
x2[1] (numeric) = 1.018666931917912933034037397428
absolute error = 0.00030517338548125431816149457409592
relative error = 0.029967090076226137844263501168796 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001880187973778848596822691499
x1[1] (numeric) = 1.9999453219043849977771998062389
absolute error = 0.00024269689299288708248246291101616
relative error = 0.012133703967430506347120323002349 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.959e+04
Order of pole = 2.549e+08
TOP MAIN SOLVE Loop
memory used=3482.8MB, alloc=4.9MB, time=163.11
t[1] = 2.26
x2[1] (analytic) = 1.0183984247410577851368733188052
x2[1] (numeric) = 1.0187047879200238434488380507583
absolute error = 0.00030636317896605831196473195310939
relative error = 0.030082841010280970021188562985463 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001878308725585770300853644456
x1[1] (numeric) = 1.9999444635285964854859643975672
absolute error = 0.00024336734396209154412096687830335
relative error = 0.012167224507906609105341929991081 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.963e+04
Order of pole = 2.552e+08
TOP MAIN SOLVE Loop
memory used=3486.7MB, alloc=4.9MB, time=163.53
t[1] = 2.261
x2[1] (analytic) = 1.0184351644494919116145444141149
x2[1] (numeric) = 1.0187427209993980110784828292707
absolute error = 0.00030755654990609946393841515581745
relative error = 0.030198932700084745312035836329804 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001876431355701574116387247938
x1[1] (numeric) = 1.9999436042940028536897773769754
absolute error = 0.00024403884156730372186134781833109
relative error = 0.012200797380426726376252700975285 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.966e+04
Order of pole = 2.554e+08
TOP MAIN SOLVE Loop
memory used=3490.5MB, alloc=4.9MB, time=163.94
t[1] = 2.262
x2[1] (analytic) = 1.0184719778047868094050012304267
x2[1] (numeric) = 1.0187807313116343612794963322106
absolute error = 0.00030875350684755187449510178390923
relative error = 0.030315365918367119526669499399256 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001874555862248890002779821915
x1[1] (numeric) = 1.999942744199744867723404063087
absolute error = 0.00024471138648002127687391910443297
relative error = 0.012234422618569020395060320069727 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.970e+04
Order of pole = 2.557e+08
TOP MAIN SOLVE Loop
memory used=3494.3MB, alloc=4.9MB, time=164.36
t[1] = 2.263
x2[1] (analytic) = 1.0185088649542897234840221921099
x2[1] (numeric) = 1.0188188190126446194513162443331
absolute error = 0.00030995405835489596729405222325087
relative error = 0.030432141439319390047302002153475 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001872682243352224351056126512
x1[1] (numeric) = 1.9999418832449624332571839656407
absolute error = 0.00024538497937278917792164701049021
relative error = 0.012268100255964008462225067572373 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 6.973e+04
Order of pole = 2.559e+08
TOP MAIN SOLVE Loop
memory used=3498.1MB, alloc=4.9MB, time=164.77
t[1] = 2.264
memory used=3501.9MB, alloc=4.9MB, time=165.19
x2[1] (analytic) = 1.0185458260456429820300031919146
x2[1] (numeric) = 1.018856984258653938553828912132
absolute error = 0.00031115821301095652382572021743021
relative error = 0.030549260038596724911226975869865 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001870810497137958108415596745
x1[1] (numeric) = 1.9999410214287945954369363841552
absolute error = 0.00024605962091920037390517551931385
relative error = 0.012301830326294596595075460322917 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.977e+04
Order of pole = 2.562e+08
TOP MAIN SOLVE Loop
memory used=3505.7MB, alloc=4.9MB, time=165.61
t[1] = 2.265
x2[1] (analytic) = 1.0185828612267845870871481526924
x2[1] (numeric) = 1.0188952272062015278824879417198
absolute error = 0.00031236597941694079533978902743875
relative error = 0.030666722493320393239971351618734 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001868940621734344904613133587
x1[1] (numeric) = 1.9999401587503795380230054820027
absolute error = 0.00024673531179389646745583135603642
relative error = 0.012335612863296113231770482143332 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.980e+04
Order of pole = 2.564e+08
TOP MAIN SOLVE Loop
memory used=3509.5MB, alloc=4.9MB, time=166.02
t[1] = 2.266
x2[1] (analytic) = 1.0186199706459488064112618124152
x2[1] (numeric) = 1.0189335480121412831035347939735
absolute error = 0.00031357736619247669227298155823272
relative error = 0.030784529582079997005970147365661 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000186707261527150918021257774
x1[1] (numeric) = 1.9999392952088545825284439749344
absolute error = 0.000247412052672568389577282839574
relative error = 0.012369447900756342987642192450386 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.984e+04
Order of pole = 2.567e+08
TOP MAIN SOLVE Loop
memory used=3513.4MB, alloc=4.9MB, time=166.44
t[1] = 2.267
x2[1] (analytic) = 1.0186571544516667665005122100381
x2[1] (numeric) = 1.0189719468336424175518453968401
absolute error = 0.00031479238197565105133318680198534
relative error = 0.030902682084935704127811449789079 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001865206475881444316710994376
x1[1] (numeric) = 1.9999384308033561873563345722438
absolute error = 0.00024808984423195707533652719387406
relative error = 0.012403335472515560463952553342536 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.987e+04
Order of pole = 2.569e+08
TOP MAIN SOLVE Loop
memory used=3517.2MB, alloc=4.9MB, time=166.85
t[1] = 2.268
x2[1] (analytic) = 1.0186944127927670468135350895419
x2[1] (numeric) = 1.0190104238281900947939318490887
absolute error = 0.00031601103542304798039675954686645
relative error = 0.031021180783420482885042971657767 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001863342201698010768531898974
x1[1] (numeric) = 1.9999375655330199469362483078874
absolute error = 0.00024876868714985414060488200999247
relative error = 0.012437275612466564109098367710247 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.991e+04
Order of pole = 2.572e+08
TOP MAIN SOLVE Loop
memory used=3521.0MB, alloc=4.9MB, time=167.27
t[1] = 2.269
x2[1] (analytic) = 1.0187317458183762751772571887653
x2[1] (numeric) = 1.0190489791535860624586333542958
absolute error = 0.00031723333520978728137616553042616
relative error = 0.031140026460542337643475208219493 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001861479790856934196885556221
x1[1] (numeric) = 1.9999366993969805908598388980221
absolute error = 0.00024944858210510255984965760004763
relative error = 0.012471268354554710132298273199653 %
Correct digits = 3
h = 0.001
memory used=3524.8MB, alloc=4.9MB, time=167.69
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.994e+04
Order of pole = 2.575e+08
TOP MAIN SOLVE Loop
memory used=3528.6MB, alloc=4.9MB, time=168.11
t[1] = 2.27
x2[1] (analytic) = 1.0187691536779197243868201384209
x2[1] (numeric) = 1.0190876129679492873380355985003
absolute error = 0.0003184592900295629512154600793818
relative error = 0.031259219900786545881859645982119 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001859619241495803605494485876
x1[1] (numeric) = 1.9999358323943719830155722605528
absolute error = 0.00025012952977759734497718803478051
relative error = 0.012505313732777946469795789174604 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 6.998e+04
Order of pole = 2.577e+08
TOP MAIN SOLVE Loop
memory used=3532.4MB, alloc=4.9MB, time=168.52
t[1] = 2.271
x2[1] (analytic) = 1.0188066365211219099999914649991
x2[1] (numeric) = 1.0191263254297165917611628697732
absolute error = 0.00031968890859468176117140477407806
relative error = 0.031378761890117896510763693995702 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001857760551754069478182311285
x1[1] (numeric) = 1.9999349645243271207225903314207
absolute error = 0.00025081153084828622522789970780834
relative error = 0.012539411781186846803612466171617 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 7.001e+04
Order of pole = 2.580e+08
TOP MAIN SOLVE Loop
memory used=3536.3MB, alloc=4.9MB, time=168.94
t[1] = 2.272
x2[1] (analytic) = 1.0188441944980071893284539691226
x2[1] (numeric) = 1.01916511669764329124299231293
absolute error = 0.00032092219963610191453834380738044
relative error = 0.031498653215982929474407010742315 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001855903719773041918324088161
x1[1] (numeric) = 1.9999340957859781338637083114944
absolute error = 0.00025149458599917032812409732169693
relative error = 0.012573562533884644632885239726119 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 7.005e+04
Order of pole = 2.582e+08
TOP MAIN SOLVE Loop
memory used=3540.1MB, alloc=4.9MB, time=169.36
t[1] = 2.273
x2[1] (analytic) = 1.0188818277589003616283695383347
x2[1] (numeric) = 1.0192039869308038334113448178103
absolute error = 0.00032215917190347178297527947554345
relative error = 0.031618894667312176626166688483195 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000185404874369588879015625307
x1[1] (numeric) = 1.9999332261784562840175444770633
absolute error = 0.00025217869591330486147114824369458
relative error = 0.012607766025027267397822142866634 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 7.008e+04
Order of pole = 2.585e+08
TOP MAIN SOLVE Loop
memory used=3543.9MB, alloc=4.9MB, time=169.77
t[1] = 2.274
x2[1] (analytic) = 1.0189195364544272694926182503116
x2[1] (numeric) = 1.0192429362885924382142121549556
absolute error = 0.00032339983416516872159390464394251
relative error = 0.031739487034522403868401330874358 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001852195621667633861944332927
x1[1] (numeric) = 1.9999323557008919635897816860604
absolute error = 0.00025286386127479979641274723236868
relative error = 0.012642022288823370656310584026346 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 7.012e+04
Order of pole = 2.587e+08
memory used=3547.7MB, alloc=4.9MB, time=170.19
TOP MAIN SOLVE Loop
memory used=3551.5MB, alloc=4.9MB, time=170.60
t[1] = 2.275
x2[1] (analytic) = 1.018957320735515401447118429098
x2[1] (numeric) = 1.0192819649307237394100850981727
absolute error = 0.0003246441952083379629666690747508
relative error = 0.031860431109518854547186418316003 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001850344351835154951006558687
x1[1] (numeric) = 1.9999314843524146949435597112782
absolute error = 0.00025355008276882055154094459046661
relative error = 0.012676331359534372313212449608781 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 7.015e+04
Order of pole = 2.590e+08
TOP MAIN SOLVE Loop
memory used=3555.3MB, alloc=4.9MB, time=171.02
t[1] = 2.276
x2[1] (analytic) = 1.0189951807533944957536381331995
x2[1] (numeric) = 1.0193210730172334273438524093875
absolute error = 0.00032589226383893159021427618795793
relative error = 0.031981727685697494092495498321853 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001848494932347182070591528228
x1[1] (numeric) = 1.9999306121321531295289975309687
absolute error = 0.00025423736108158867806162185408617
relative error = 0.012710693271474486902380342966264 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 7.019e+04
Order of pole = 2.593e+08
TOP MAIN SOLVE Loop
memory used=3559.1MB, alloc=4.9MB, time=171.44
t[1] = 2.277
x2[1] (analytic) = 1.0190331166595971454215133802389
x2[1] (numeric) = 1.0193602607084788930108457073917
absolute error = 0.00032714404888174758933232715285067
relative error = 0.032103377557947255894303664656434 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001846647361354295578608065334
x1[1] (numeric) = 1.9999297390392350470118447063497
absolute error = 0.00025492569690038254601610018368831
relative error = 0.012745108059010759921429324106296 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 7.022e+04
Order of pole = 2.595e+08
TOP MAIN SOLVE Loop
memory used=3563.0MB, alloc=4.9MB, time=171.86
t[1] = 2.278
x2[1] (analytic) = 1.0190711286059594044306932484178
x2[1] (numeric) = 1.0193995281651398734116103985933
absolute error = 0.00032839955918046898091715017549126
relative error = 0.032225381522652288405031498565311 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001844801637008924328205423483
x1[1] (numeric) = 1.9999288650727873544012609746696
absolute error = 0.00025561509091353803155956767861764
relative error = 0.012779575756563102219298567032298 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 7.026e+04
Order of pole = 2.598e+08
TOP MAIN SOLVE Loop
memory used=3566.8MB, alloc=4.9MB, time=172.28
t[1] = 2.279
x2[1] (analytic) = 1.0191092167446213951685368402464
x2[1] (numeric) = 1.0194388755482190981999880147066
absolute error = 0.00032965880359770303145117446012436
relative error = 0.03234774037769420345868913759018 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001842957757465343820201985029
x1[1] (numeric) = 1.9999279902319360851767231856093
absolute error = 0.00025630554381044920529701289361554
relative error = 0.012814096398604324436637404251087 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 7.029e+04
Order of pole = 2.600e+08
memory used=3570.6MB, alloc=4.9MB, time=172.69
TOP MAIN SOLVE Loop
memory used=3574.4MB, alloc=4.9MB, time=173.11
t[1] = 2.28
x2[1] (analytic) = 1.0191473812280279170827919489146
x2[1] (numeric) = 1.0194783030190429376271004794947
absolute error = 0.00033092179101502054430853058010994
relative error = 0.032470454922454325797021411691864 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001841115720879674357360608217
x1[1] (numeric) = 1.9999271145158063984140587079284
absolute error = 0.00025699705628156902167735289331644
relative error = 0.012848670019660171499050280640249 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 7.033e+04
Order of pole = 2.603e+08
TOP MAIN SOLVE Loop
memory used=3578.2MB, alloc=4.9MB, time=173.53
t[1] = 2.281
x2[1] (analytic) = 1.019185622208929056553190132319
x2[1] (numeric) = 1.0195178107392620517838320142172
absolute error = 0.0003321885303329952306418818982092
relative error = 0.032593525957815943792896042174714 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001839275525409879200508776282
x1[1] (numeric) = 1.9999262379235225779106044323892
absolute error = 0.00025768962901841000944644523891305
relative error = 0.012883296654309357163235191564188 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 7.036e+04
Order of pole = 2.606e+08
TOP MAIN SOLVE Loop
memory used=3582.0MB, alloc=4.9MB, time=173.94
t[1] = 2.282
x2[1] (analytic) = 1.0192239398403807979840977741326
x2[1] (numeric) = 1.0195573988708520411444095893608
absolute error = 0.00033345903047124316031181522814008
relative error = 0.032716954286166561361117735690456 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001837437169215762726501704777
x1[1] (numeric) = 1.9999253604542080313094904961177
absolute error = 0.00025838326271354496315967436005989
relative error = 0.012917976337183598616050232858161 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 7.040e+04
Order of pole = 2.608e+08
TOP MAIN SOLVE Loop
memory used=3585.8MB, alloc=4.9MB, time=174.36
t[1] = 2.283
x2[1] (analytic) = 1.0192623342757456361206675954381
x2[1] (numeric) = 1.0195970675761140984136880385687
absolute error = 0.00033473330036846229302044313056546
relative error = 0.032840740711400151046791622873412 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.000183560065045896858802656508
x1[1] (numeric) = 1.9999244821069852892230478526834
absolute error = 0.00025907795806060763575480382465919
relative error = 0.012952709102967651126542943065072 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 7.043e+04
Order of pole = 2.611e+08
TOP MAIN SOLVE Loop
memory used=3589.7MB, alloc=4.9MB, time=174.77
t[1] = 2.284
x2[1] (analytic) = 1.0193008056686931895909399743569
x2[1] (numeric) = 1.0196368170176756616807511694453
absolute error = 0.00033601134898247208981119508838257
relative error = 0.032964886038919408281299888397639 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001833765967302977875245983882
x1[1] (numeric) = 1.9999236028809760043553388113087
absolute error = 0.00025977371575429343218578707943913
relative error = 0.012987494986399342750977171110278 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 7.047e+04
Order of pole = 2.613e+08
TOP MAIN SOLVE Loop
memory used=3593.5MB, alloc=4.9MB, time=175.19
memory used=3597.3MB, alloc=4.9MB, time=175.61
t[1] = 2.285
x2[1] (analytic) = 1.0193393541732008156763483348159
x2[1] (numeric) = 1.0196766473584910688814454351255
absolute error = 0.00033729318529025320509710030964911
relative error = 0.033089391075638006795895615925378 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001831933117913107279278980305
x1[1] (numeric) = 1.9999227227753009506238096677353
absolute error = 0.00026047053649036010411823029519296
relative error = 0.013022334022269609090892255435214 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 7.050e+04
Order of pole = 2.616e+08
TOP MAIN SOLVE Loop
memory used=3601.1MB, alloc=4.9MB, time=176.03
t[1] = 2.286
x2[1] (analytic) = 1.0193779799435542263130877791175
x2[1] (numeric) = 1.0197165587618422135724679701806
absolute error = 0.00033857881828798725938019106301661
relative error = 0.0332142566299828551828578270112 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001830102100456507257517504136
x1[1] (numeric) = 1.9999218417890800222800645484014
absolute error = 0.00026116842096562844568720201219975
relative error = 0.013057226245422528104229353481268 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 7.054e+04
Order of pole = 2.619e+08
TOP MAIN SOLVE Loop
memory used=3604.9MB, alloc=4.9MB, time=176.44
t[1] = 2.287
x2[1] (analytic) = 1.0194166831343481053268110623457
x2[1] (numeric) = 1.0197565513913392020196360446072
absolute error = 0.00033986825699109669282498226145318
relative error = 0.03333948351189635459409142701328 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001828272913102160200776740477
x1[1] (numeric) = 1.999920959921432233029759588704
absolute error = 0.00026186736987798299031808534369437
relative error = 0.013092171690755354969559813321162 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 7.057e+04
Order of pole = 2.621e+08
TOP MAIN SOLVE Loop
memory used=3608.7MB, alloc=4.9MB, time=176.86
t[1] = 2.288
x2[1] (analytic) = 1.0194554639004867269031209398543
x2[1] (numeric) = 1.019796625410921011602970250331
absolute error = 0.000341161510434284699849310476637
relative error = 0.033465072532838657566995282918809 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001826445554020878602277347977
x1[1] (numeric) = 1.9999200771714757151516165652394
absolute error = 0.00026256738392637270861116955829698
relative error = 0.013127170393218557003450532176096 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 7.061e+04
Order of pole = 2.624e+08
TOP MAIN SOLVE Loop
memory used=3612.5MB, alloc=4.9MB, time=177.27
t[1] = 2.289
x2[1] (analytic) = 1.0194943223971845752963328621854
x2[1] (numeric) = 1.0198367809848561505412290058754
absolute error = 0.00034245858767157524489614369000342
relative error = 0.033591024505789927967360947191037 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001824620021385303228457799622
x1[1] (numeric) = 1.9999191935383277186155551010361
absolute error = 0.00026326846381081170729067892605184
relative error = 0.013162222387815848631001299533233 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 7.064e+04
Order of pole = 2.627e+08
TOP MAIN SOLVE Loop
memory used=3616.4MB, alloc=4.9MB, time=177.69
memory used=3620.2MB, alloc=4.9MB, time=178.10
t[1] = 2.29
x2[1] (analytic) = 1.0195332587799669657789869447521
x2[1] (numeric) = 1.0198770182777433189385372466205
absolute error = 0.00034375949777635315955030186834789
relative error = 0.033717340245252602039003607767798 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001822796313369901291614996888
x1[1] (numeric) = 1.9999183090211046101999425619117
absolute error = 0.00026397061023237992921893777716237
relative error = 0.013197327709604226409589175589667 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 7.068e+04
Order of pole = 2.629e+08
TOP MAIN SOLVE Loop
memory used=3624.0MB, alloc=4.9MB, time=178.52
t[1] = 2.291
x2[1] (analytic) = 1.019572273204670666834593102531
x2[1] (numeric) = 1.0199173374545120711557574604245
absolute error = 0.00034506424984140432116435789344396
relative error = 0.033844020567253650549765686662701 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001820974428150964624371329918
x1[1] (numeric) = 1.9999174236189218726079607612042
absolute error = 0.00026467382389322385447637178764598
relative error = 0.013232486393694004105855008796025 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 7.071e+04
Order of pole = 2.632e+08
TOP MAIN SOLVE Loop
memory used=3627.8MB, alloc=4.9MB, time=178.94
t[1] = 2.292
x2[1] (analytic) = 1.0196113658274445235960982128502
x2[1] (numeric) = 1.0199577386804234795092565313279
absolute error = 0.00034637285297895591315831847765218
relative error = 0.033971066289346842023472127717851 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001819154363906607855966358162
x1[1] (numeric) = 1.9999165373308941035830885892442
absolute error = 0.00026537810549655720250804657196847
relative error = 0.013267698475248847825967249355244 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 7.075e+04
Order of pole = 2.634e+08
TOP MAIN SOLVE Loop
memory used=3631.6MB, alloc=4.9MB, time=179.37
t[1] = 2.293
x2[1] (analytic) = 1.0196505368047500825325691521589
x2[1] (numeric) = 1.0199982221210707992997271676212
absolute error = 0.00034768531632071676715801546229582
relative error = 0.034098478230615007047354807408846 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001817336118816766590371287796
x1[1] (numeric) = 1.9999156501561350150236996830503
absolute error = 0.00026608345574666163533744572925476
relative error = 0.013302963989485811199198268649922 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 7.079e+04
Order of pole = 2.637e+08
TOP MAIN SOLVE Loop
memory used=3635.4MB, alloc=4.9MB, time=179.78
t[1] = 2.294
x2[1] (analytic) = 1.019689786293362217386590545437
x2[1] (numeric) = 1.020038787942380135173728014761
absolute error = 0.00034900164901791778713746932399052
relative error = 0.034226257211672303644401670686838 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001815519691063195586224424021
x1[1] (numeric) = 1.9999147620937574320967742508452
absolute error = 0.00026678987534888746184819155691303
relative error = 0.013338282971675370614848447725083 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
Complex estimate of poles used for equation 2
Radius of convergence = 7.082e+04
Order of pole = 2.640e+08
TOP MAIN SOLVE Loop
memory used=3639.3MB, alloc=4.9MB, time=180.20
memory used=3643.1MB, alloc=4.9MB, time=180.61
t[1] = 2.295
x2[1] (analytic) = 1.0197291144503697563648810696755
x2[1] (numeric) = 1.0200794363106111088206118884829
absolute error = 0.00035032186024135245573081880746688
relative error = 0.034354404054666483700024136137198 %
Correct digits = 3
h = 0.001
x1[1] (analytic) = 2.0001813705078829466938585778181
x1[1] (numeric) = 1.9999138731428732923507241651047
absolute error = 0.00026749736500965434313441271345136
relative error = 0.01337365545714146051255335114213 %
Correct digits = 3
h = 0.001
Complex estimate of poles used for equation 1
NO POLE for equation 2
Radius of convergence = 7.086e+04
Order of pole = 2.642e+08
Finished!
Maximum Time Reached before Solution Completed!
diff (x2,t,2) = 3.0 * diff(x2,t,1) - 2.0 * x2 - diff(x1,t,2) - diff (x1,t,1)+x1;
diff (x1,t,1) = 4.0 * x2 - 2.0 * diff (x2,t ,1) - 2.0 * x1;
Iterations = 796
Total Elapsed Time = 3 Minutes 0 Seconds
Elapsed Time(since restart) = 3 Minutes 0 Seconds
Expected Time Remaining = 10 Minutes 12 Seconds
Optimized Time Remaining = 10 Minutes 11 Seconds
Expected Total Time = 13 Minutes 12 Seconds
Time to Timeout Unknown
Percent Done = 22.77 %
> quit
memory used=3643.6MB, alloc=4.9MB, time=180.67