|\^/| 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. | Type ? for help. > #BEGIN OUTFILE1 > > # Begin Function number 3 > display_alot := proc(iter) > global > INFO, > DEBUGL, > glob_iolevel, > ALWAYS, > glob_max_terms, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_curr_iter_when_opt, > hours_in_day, > djd_debug, > glob_log10normmin, > glob_look_poles, > glob_hmin, > glob_reached_optimal_h, > glob_initial_pass, > glob_percent_done, > glob_iter, > glob_orig_start_sec, > glob_max_iter, > glob_last_good_h, > glob_almost_1, > glob_optimal_expect_sec, > glob_current_iter, > glob_warned, > glob_smallish_float, > glob_log10_abserr, > glob_disp_incr, > centuries_in_millinium, > years_in_century, > glob_dump, > glob_no_eqs, > glob_abserr, > glob_large_float, > glob_clock_start_sec, > djd_debug2, > glob_log10relerr, > glob_warned2, > glob_small_float, > glob_max_rel_trunc_err, > glob_max_hours, > glob_relerr, > glob_hmin_init, > glob_optimal_done, > glob_clock_sec, > glob_subiter_method, > glob_normmax, > glob_hmax, > min_in_hour, > glob_html_log, > glob_max_minutes, > glob_log10abserr, > glob_max_trunc_err, > glob_optimal_start, > glob_optimal_clock_start_sec, > glob_h, > glob_not_yet_start_msg, > days_in_year, > sec_in_min, > glob_display_flag, > glob_start, > glob_max_sec, > glob_log10_relerr, > glob_not_yet_finished, > glob_unchanged_h_cnt, > glob_dump_analytic, > glob_max_opt_iter, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1D0, > array_const_0D0, > array_const_1, > array_const_5, > #END CONST > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_x, > array_1st_rel_error, > array_pole, > array_y1_init, > array_y2, > array_y1, > array_type_pole, > array_y2_init, > array_m1, > array_norms, > array_last_rel_error, > array_y1_higher_work2, > array_y1_higher_work, > array_y2_set_initial, > array_y2_higher_work2, > array_poles, > array_real_pole, > array_y2_higher, > array_y1_set_initial, > array_complex_pole, > array_y2_higher_work, > array_y1_higher, > glob_last; > > local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; > #TOP DISPLAY ALOT > if (iter >= 0) then # if number 1 > ind_var := array_x[1]; > omniout_float(ALWAYS,"x[1] ",33,ind_var,20," "); > analytic_val_y := exact_soln_y2(ind_var); > omniout_float(ALWAYS,"y2[1] (analytic) ",33,analytic_val_y,20," "); > term_no := 1; > numeric_val := array_y2[term_no]; > abserr := abs(numeric_val - analytic_val_y); > omniout_float(ALWAYS,"y2[1] (numeric) ",33,numeric_val,20," "); > if (abs(analytic_val_y) <> 0.0) then # if number 2 > relerr := abserr*100.0/abs(analytic_val_y); > else > relerr := -1.0 ; > fi;# end if 2 > ; > if glob_iter = 1 then # if number 2 > array_1st_rel_error[1] := relerr; > else > array_last_rel_error[1] := relerr; > fi;# end if 2 > ; > omniout_float(ALWAYS,"absolute error ",4,abserr,20," "); > omniout_float(ALWAYS,"relative error ",4,relerr,20,"%"); > omniout_float(ALWAYS,"h ",4,glob_h,20," "); > ; > analytic_val_y := exact_soln_y1(ind_var); > omniout_float(ALWAYS,"y1[1] (analytic) ",33,analytic_val_y,20," "); > term_no := 1; > numeric_val := array_y1[term_no]; > abserr := abs(numeric_val - analytic_val_y); > omniout_float(ALWAYS,"y1[1] (numeric) ",33,numeric_val,20," "); > if (abs(analytic_val_y) <> 0.0) then # if number 2 > relerr := abserr*100.0/abs(analytic_val_y); > else > relerr := -1.0 ; > fi;# end if 2 > ; > if glob_iter = 1 then # if number 2 > array_1st_rel_error[2] := relerr; > else > array_last_rel_error[2] := relerr; > fi;# end if 2 > ; > omniout_float(ALWAYS,"absolute error ",4,abserr,20," "); > omniout_float(ALWAYS,"relative error ",4,relerr,20,"%"); > omniout_float(ALWAYS,"h ",4,glob_h,20," "); > #BOTTOM DISPLAY ALOT > fi;# end if 1 > ; > # End Function number 3 > end; display_alot := proc(iter) local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; global INFO, DEBUGL, glob_iolevel, ALWAYS, glob_max_terms, DEBUGMASSIVE, MAX_UNCHANGED, glob_curr_iter_when_opt, hours_in_day, djd_debug, glob_log10normmin, glob_look_poles, glob_hmin, glob_reached_optimal_h, glob_initial_pass, glob_percent_done, glob_iter, glob_orig_start_sec, glob_max_iter, glob_last_good_h, glob_almost_1, glob_optimal_expect_sec, glob_current_iter, glob_warned, glob_smallish_float, glob_log10_abserr, glob_disp_incr, centuries_in_millinium, years_in_century, glob_dump, glob_no_eqs, glob_abserr, glob_large_float, glob_clock_start_sec, djd_debug2, glob_log10relerr, glob_warned2, glob_small_float, glob_max_rel_trunc_err, glob_max_hours, glob_relerr, glob_hmin_init, glob_optimal_done, glob_clock_sec, glob_subiter_method, glob_normmax, glob_hmax, min_in_hour, glob_html_log, glob_max_minutes, glob_log10abserr, glob_max_trunc_err, glob_optimal_start, glob_optimal_clock_start_sec, glob_h, glob_not_yet_start_msg, days_in_year, sec_in_min, glob_display_flag, glob_start, glob_max_sec, glob_log10_relerr, glob_not_yet_finished, glob_unchanged_h_cnt, glob_dump_analytic, glob_max_opt_iter, array_const_1D0, array_const_0D0, array_const_1, array_const_5, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_x, array_1st_rel_error, array_pole, array_y1_init, array_y2, array_y1, array_type_pole, array_y2_init, array_m1, array_norms, array_last_rel_error, array_y1_higher_work2, array_y1_higher_work, array_y2_set_initial, array_y2_higher_work2, array_poles, array_real_pole, array_y2_higher, array_y1_set_initial, array_complex_pole, array_y2_higher_work, array_y1_higher, glob_last; if 0 <= iter then ind_var := array_x[1]; omniout_float(ALWAYS, "x[1] ", 33, ind_var, 20, " "); analytic_val_y := exact_soln_y2(ind_var); omniout_float(ALWAYS, "y2[1] (analytic) ", 33, analytic_val_y, 20, " "); term_no := 1; numeric_val := array_y2[term_no]; abserr := abs(numeric_val - analytic_val_y); omniout_float(ALWAYS, "y2[1] (numeric) ", 33, numeric_val, 20, " "); if abs(analytic_val_y) <> 0. then relerr := abserr*100.0/abs(analytic_val_y) else relerr := -1.0 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_float(ALWAYS, "h ", 4, glob_h, 20, " "); analytic_val_y := exact_soln_y1(ind_var); omniout_float(ALWAYS, "y1[1] (analytic) ", 33, analytic_val_y, 20, " "); term_no := 1; numeric_val := array_y1[term_no]; abserr := abs(numeric_val - analytic_val_y); omniout_float(ALWAYS, "y1[1] (numeric) ", 33, numeric_val, 20, " "); if abs(analytic_val_y) <> 0. then relerr := abserr*100.0/abs(analytic_val_y) else relerr := -1.0 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_float(ALWAYS, "h ", 4, glob_h, 20, " ") end if end proc > # Begin Function number 4 > adjust_for_pole := proc(h_param) > global > INFO, > DEBUGL, > glob_iolevel, > ALWAYS, > glob_max_terms, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_curr_iter_when_opt, > hours_in_day, > djd_debug, > glob_log10normmin, > glob_look_poles, > glob_hmin, > glob_reached_optimal_h, > glob_initial_pass, > glob_percent_done, > glob_iter, > glob_orig_start_sec, > glob_max_iter, > glob_last_good_h, > glob_almost_1, > glob_optimal_expect_sec, > glob_current_iter, > glob_warned, > glob_smallish_float, > glob_log10_abserr, > glob_disp_incr, > centuries_in_millinium, > years_in_century, > glob_dump, > glob_no_eqs, > glob_abserr, > glob_large_float, > glob_clock_start_sec, > djd_debug2, > glob_log10relerr, > glob_warned2, > glob_small_float, > glob_max_rel_trunc_err, > glob_max_hours, > glob_relerr, > glob_hmin_init, > glob_optimal_done, > glob_clock_sec, > glob_subiter_method, > glob_normmax, > glob_hmax, > min_in_hour, > glob_html_log, > glob_max_minutes, > glob_log10abserr, > glob_max_trunc_err, > glob_optimal_start, > glob_optimal_clock_start_sec, > glob_h, > glob_not_yet_start_msg, > days_in_year, > sec_in_min, > glob_display_flag, > glob_start, > glob_max_sec, > glob_log10_relerr, > glob_not_yet_finished, > glob_unchanged_h_cnt, > glob_dump_analytic, > glob_max_opt_iter, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1D0, > array_const_0D0, > array_const_1, > array_const_5, > #END CONST > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_x, > array_1st_rel_error, > array_pole, > array_y1_init, > array_y2, > array_y1, > array_type_pole, > array_y2_init, > array_m1, > array_norms, > array_last_rel_error, > array_y1_higher_work2, > array_y1_higher_work, > array_y2_set_initial, > array_y2_higher_work2, > array_poles, > array_real_pole, > array_y2_higher, > array_y1_set_initial, > array_complex_pole, > array_y2_higher_work, > array_y1_higher, > glob_last; > > local hnew, sz2, tmp; > #TOP ADJUST FOR POLE > > hnew := h_param; > glob_normmax := glob_small_float; > if (abs(array_y2_higher[1,1]) > glob_small_float) then # if number 1 > tmp := abs(array_y2_higher[1,1]); > if (tmp < glob_normmax) then # if number 2 > glob_normmax := tmp; > fi;# end if 2 > fi;# end if 1 > ; > if (abs(array_y1_higher[1,1]) > glob_small_float) then # if number 1 > tmp := abs(array_y1_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 (abs(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"); > newline(); > 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_x[1]; > fi;# end if 1 > ; > hnew := sz2; > #END block > #BOTTOM ADJUST FOR POLE > # End Function number 4 > end; adjust_for_pole := proc(h_param) local hnew, sz2, tmp; global INFO, DEBUGL, glob_iolevel, ALWAYS, glob_max_terms, DEBUGMASSIVE, MAX_UNCHANGED, glob_curr_iter_when_opt, hours_in_day, djd_debug, glob_log10normmin, glob_look_poles, glob_hmin, glob_reached_optimal_h, glob_initial_pass, glob_percent_done, glob_iter, glob_orig_start_sec, glob_max_iter, glob_last_good_h, glob_almost_1, glob_optimal_expect_sec, glob_current_iter, glob_warned, glob_smallish_float, glob_log10_abserr, glob_disp_incr, centuries_in_millinium, years_in_century, glob_dump, glob_no_eqs, glob_abserr, glob_large_float, glob_clock_start_sec, djd_debug2, glob_log10relerr, glob_warned2, glob_small_float, glob_max_rel_trunc_err, glob_max_hours, glob_relerr, glob_hmin_init, glob_optimal_done, glob_clock_sec, glob_subiter_method, glob_normmax, glob_hmax, min_in_hour, glob_html_log, glob_max_minutes, glob_log10abserr, glob_max_trunc_err, glob_optimal_start, glob_optimal_clock_start_sec, glob_h, glob_not_yet_start_msg, days_in_year, sec_in_min, glob_display_flag, glob_start, glob_max_sec, glob_log10_relerr, glob_not_yet_finished, glob_unchanged_h_cnt, glob_dump_analytic, glob_max_opt_iter, array_const_1D0, array_const_0D0, array_const_1, array_const_5, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_x, array_1st_rel_error, array_pole, array_y1_init, array_y2, array_y1, array_type_pole, array_y2_init, array_m1, array_norms, array_last_rel_error, array_y1_higher_work2, array_y1_higher_work, array_y2_set_initial, array_y2_higher_work2, array_poles, array_real_pole, array_y2_higher, array_y1_set_initial, array_complex_pole, array_y2_higher_work, array_y1_higher, glob_last; hnew := h_param; glob_normmax := glob_small_float; if glob_small_float < abs(array_y2_higher[1, 1]) then tmp := abs(array_y2_higher[1, 1]); if tmp < glob_normmax then glob_normmax := tmp end if end if; if glob_small_float < abs(array_y1_higher[1, 1]) then tmp := abs(array_y1_higher[1, 1]); if tmp < glob_normmax then glob_normmax := tmp end if end if; if glob_look_poles and glob_small_float < abs(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"); newline(); 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_x[1] end if; hnew := sz2 end proc > # Begin Function number 5 > prog_report := proc(x_start,x_end) > global > INFO, > DEBUGL, > glob_iolevel, > ALWAYS, > glob_max_terms, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_curr_iter_when_opt, > hours_in_day, > djd_debug, > glob_log10normmin, > glob_look_poles, > glob_hmin, > glob_reached_optimal_h, > glob_initial_pass, > glob_percent_done, > glob_iter, > glob_orig_start_sec, > glob_max_iter, > glob_last_good_h, > glob_almost_1, > glob_optimal_expect_sec, > glob_current_iter, > glob_warned, > glob_smallish_float, > glob_log10_abserr, > glob_disp_incr, > centuries_in_millinium, > years_in_century, > glob_dump, > glob_no_eqs, > glob_abserr, > glob_large_float, > glob_clock_start_sec, > djd_debug2, > glob_log10relerr, > glob_warned2, > glob_small_float, > glob_max_rel_trunc_err, > glob_max_hours, > glob_relerr, > glob_hmin_init, > glob_optimal_done, > glob_clock_sec, > glob_subiter_method, > glob_normmax, > glob_hmax, > min_in_hour, > glob_html_log, > glob_max_minutes, > glob_log10abserr, > glob_max_trunc_err, > glob_optimal_start, > glob_optimal_clock_start_sec, > glob_h, > glob_not_yet_start_msg, > days_in_year, > sec_in_min, > glob_display_flag, > glob_start, > glob_max_sec, > glob_log10_relerr, > glob_not_yet_finished, > glob_unchanged_h_cnt, > glob_dump_analytic, > glob_max_opt_iter, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1D0, > array_const_0D0, > array_const_1, > array_const_5, > #END CONST > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_x, > array_1st_rel_error, > array_pole, > array_y1_init, > array_y2, > array_y1, > array_type_pole, > array_y2_init, > array_m1, > array_norms, > array_last_rel_error, > array_y1_higher_work2, > array_y1_higher_work, > array_y2_set_initial, > array_y2_higher_work2, > array_poles, > array_real_pole, > array_y2_higher, > array_y1_set_initial, > array_complex_pole, > array_y2_higher_work, > array_y1_higher, > 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(x_end),convfloat(x_start),convfloat(array_x[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(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec)); > percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[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)); > 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 Function number 5 > end; prog_report := proc(x_start, x_end) local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; global INFO, DEBUGL, glob_iolevel, ALWAYS, glob_max_terms, DEBUGMASSIVE, MAX_UNCHANGED, glob_curr_iter_when_opt, hours_in_day, djd_debug, glob_log10normmin, glob_look_poles, glob_hmin, glob_reached_optimal_h, glob_initial_pass, glob_percent_done, glob_iter, glob_orig_start_sec, glob_max_iter, glob_last_good_h, glob_almost_1, glob_optimal_expect_sec, glob_current_iter, glob_warned, glob_smallish_float, glob_log10_abserr, glob_disp_incr, centuries_in_millinium, years_in_century, glob_dump, glob_no_eqs, glob_abserr, glob_large_float, glob_clock_start_sec, djd_debug2, glob_log10relerr, glob_warned2, glob_small_float, glob_max_rel_trunc_err, glob_max_hours, glob_relerr, glob_hmin_init, glob_optimal_done, glob_clock_sec, glob_subiter_method, glob_normmax, glob_hmax, min_in_hour, glob_html_log, glob_max_minutes, glob_log10abserr, glob_max_trunc_err, glob_optimal_start, glob_optimal_clock_start_sec, glob_h, glob_not_yet_start_msg, days_in_year, sec_in_min, glob_display_flag, glob_start, glob_max_sec, glob_log10_relerr, glob_not_yet_finished, glob_unchanged_h_cnt, glob_dump_analytic, glob_max_opt_iter, array_const_1D0, array_const_0D0, array_const_1, array_const_5, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_x, array_1st_rel_error, array_pole, array_y1_init, array_y2, array_y1, array_type_pole, array_y2_init, array_m1, array_norms, array_last_rel_error, array_y1_higher_work2, array_y1_higher_work, array_y2_set_initial, array_y2_higher_work2, array_poles, array_real_pole, array_y2_higher, array_y1_set_initial, array_complex_pole, array_y2_higher_work, array_y1_higher, 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(x_end), convfloat(x_start), convfloat(array_x[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(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h), convfloat(opt_clock_sec)); percent_done := comp_percent(convfloat(x_end), convfloat(x_start), convfloat(array_x[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)) 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 > # Begin Function number 6 > check_for_pole := proc() > global > INFO, > DEBUGL, > glob_iolevel, > ALWAYS, > glob_max_terms, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_curr_iter_when_opt, > hours_in_day, > djd_debug, > glob_log10normmin, > glob_look_poles, > glob_hmin, > glob_reached_optimal_h, > glob_initial_pass, > glob_percent_done, > glob_iter, > glob_orig_start_sec, > glob_max_iter, > glob_last_good_h, > glob_almost_1, > glob_optimal_expect_sec, > glob_current_iter, > glob_warned, > glob_smallish_float, > glob_log10_abserr, > glob_disp_incr, > centuries_in_millinium, > years_in_century, > glob_dump, > glob_no_eqs, > glob_abserr, > glob_large_float, > glob_clock_start_sec, > djd_debug2, > glob_log10relerr, > glob_warned2, > glob_small_float, > glob_max_rel_trunc_err, > glob_max_hours, > glob_relerr, > glob_hmin_init, > glob_optimal_done, > glob_clock_sec, > glob_subiter_method, > glob_normmax, > glob_hmax, > min_in_hour, > glob_html_log, > glob_max_minutes, > glob_log10abserr, > glob_max_trunc_err, > glob_optimal_start, > glob_optimal_clock_start_sec, > glob_h, > glob_not_yet_start_msg, > days_in_year, > sec_in_min, > glob_display_flag, > glob_start, > glob_max_sec, > glob_log10_relerr, > glob_not_yet_finished, > glob_unchanged_h_cnt, > glob_dump_analytic, > glob_max_opt_iter, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1D0, > array_const_0D0, > array_const_1, > array_const_5, > #END CONST > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_x, > array_1st_rel_error, > array_pole, > array_y1_init, > array_y2, > array_y1, > array_type_pole, > array_y2_init, > array_m1, > array_norms, > array_last_rel_error, > array_y1_higher_work2, > array_y1_higher_work, > array_y2_set_initial, > array_y2_higher_work2, > array_poles, > array_real_pole, > array_y2_higher, > array_y1_set_initial, > array_complex_pole, > array_y2_higher_work, > array_y1_higher, > glob_last; > > local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found; > #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 - 5 - 1; > while ((m >= 10) and ((abs(array_y2_higher[1,m]) < glob_small_float) or (abs(array_y2_higher[1,m-1]) < glob_small_float) or (abs(array_y2_higher[1,m-2]) < glob_small_float ))) do # do number 2 > m := m - 1; > od;# end do number 2 > ; > if (m > 10) then # if number 1 > rm0 := array_y2_higher[1,m]/array_y2_higher[1,m-1]; > rm1 := array_y2_higher[1,m-1]/array_y2_higher[1,m-2]; > hdrc := convfloat(m-1)*rm0-convfloat(m-2)*rm1; > if (abs(hdrc) > glob_small_float) then # if number 2 > rcs := glob_h/hdrc; > ord_no := convfloat(m-1)*rm0/hdrc - convfloat(m) + 2.0; > 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 ((abs(array_y1_higher[1,m]) < glob_small_float) or (abs(array_y1_higher[1,m-1]) < glob_small_float) or (abs(array_y1_higher[1,m-2]) < glob_small_float ))) do # do number 2 > m := m - 1; > od;# end do number 2 > ; > if (m > 10) then # if number 1 > rm0 := array_y1_higher[1,m]/array_y1_higher[1,m-1]; > rm1 := array_y1_higher[1,m-1]/array_y1_higher[1,m-2]; > hdrc := convfloat(m-1)*rm0-convfloat(m-2)*rm1; > if (abs(hdrc) > glob_small_float) then # if number 2 > rcs := glob_h/hdrc; > ord_no := convfloat(m-1)*rm0/hdrc - convfloat(m) + 2.0; > 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 - 5 - 1; > cnt := 0; > while ((cnt < 5) and (n >= 10)) do # do number 2 > if (abs(array_y2_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 > array_complex_pole[1,1] := glob_large_float; > array_complex_pole[1,2] := glob_large_float; > elif (abs(array_y2_higher[1,m]) >= (glob_large_float)) or (abs(array_y2_higher[1,m-1]) >=(glob_large_float)) or (abs(array_y2_higher[1,m-2]) >= (glob_large_float)) or (abs(array_y2_higher[1,m-3]) >= (glob_large_float)) or (abs(array_y2_higher[1,m-4]) >= (glob_large_float)) or (abs(array_y2_higher[1,m-5]) >= (glob_large_float)) then # if number 2 > array_complex_pole[1,1] := glob_large_float; > array_complex_pole[1,2] := glob_large_float; > else > rm0 := (array_y2_higher[1,m])/(array_y2_higher[1,m-1]); > rm1 := (array_y2_higher[1,m-1])/(array_y2_higher[1,m-2]); > rm2 := (array_y2_higher[1,m-2])/(array_y2_higher[1,m-3]); > rm3 := (array_y2_higher[1,m-3])/(array_y2_higher[1,m-4]); > rm4 := (array_y2_higher[1,m-4])/(array_y2_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 ((abs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (abs(dr1) <= glob_small_float)) then # if number 3 > array_complex_pole[1,1] := glob_large_float; > array_complex_pole[1,2] := glob_large_float; > else > if (abs(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 (abs(rcs) > glob_small_float) then # if number 5 > if (rcs > 0.0) then # if number 6 > rad_c := sqrt(rcs) * 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 (abs(array_y1_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 > array_complex_pole[2,1] := glob_large_float; > array_complex_pole[2,2] := glob_large_float; > elif (abs(array_y1_higher[1,m]) >= (glob_large_float)) or (abs(array_y1_higher[1,m-1]) >=(glob_large_float)) or (abs(array_y1_higher[1,m-2]) >= (glob_large_float)) or (abs(array_y1_higher[1,m-3]) >= (glob_large_float)) or (abs(array_y1_higher[1,m-4]) >= (glob_large_float)) or (abs(array_y1_higher[1,m-5]) >= (glob_large_float)) then # if number 3 > array_complex_pole[2,1] := glob_large_float; > array_complex_pole[2,2] := glob_large_float; > else > rm0 := (array_y1_higher[1,m])/(array_y1_higher[1,m-1]); > rm1 := (array_y1_higher[1,m-1])/(array_y1_higher[1,m-2]); > rm2 := (array_y1_higher[1,m-2])/(array_y1_higher[1,m-3]); > rm3 := (array_y1_higher[1,m-3])/(array_y1_higher[1,m-4]); > rm4 := (array_y1_higher[1,m-4])/(array_y1_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 ((abs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (abs(dr1) <= glob_small_float)) then # if number 4 > array_complex_pole[2,1] := glob_large_float; > array_complex_pole[2,2] := glob_large_float; > else > if (abs(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 (abs(rcs) > glob_small_float) then # if number 6 > if (rcs > 0.0) then # if number 7 > rad_c := sqrt(rcs) * 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 := false; > #TOP WHICH RADII EQ = 1 > if not found 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 := true; > array_type_pole[1] := 2; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found 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] > 0.0) 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 := true; > array_type_pole[1] := 1; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found 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 := true; > array_type_pole[1] := 3; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"NO POLE"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found 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] > 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 := true; > array_type_pole[1] := 1; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found 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 := true; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found then # if number 3 > array_poles[1,1] := glob_large_float; > array_poles[1,2] := glob_large_float; > array_type_pole[1] := 3; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"NO POLE"); > fi;# end if 4 > ; > fi;# end if 3 > ; > #BOTTOM WHICH RADII EQ = 1 > found := false; > #TOP WHICH RADII EQ = 2 > if not found 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 := true; > array_type_pole[2] := 2; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found 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] > 0.0) 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 := true; > array_type_pole[2] := 1; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found 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 := true; > array_type_pole[2] := 3; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"NO POLE"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found 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] > 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 := true; > array_type_pole[2] := 1; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found 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 := true; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found then # if number 3 > array_poles[2,1] := glob_large_float; > array_poles[2,2] := glob_large_float; > array_type_pole[2] := 3; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"NO POLE"); > 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 > #BOTTOM CHECK FOR POLE > display_pole(); > # End Function number 6 > end; check_for_pole := proc() local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found; global INFO, DEBUGL, glob_iolevel, ALWAYS, glob_max_terms, DEBUGMASSIVE, MAX_UNCHANGED, glob_curr_iter_when_opt, hours_in_day, djd_debug, glob_log10normmin, glob_look_poles, glob_hmin, glob_reached_optimal_h, glob_initial_pass, glob_percent_done, glob_iter, glob_orig_start_sec, glob_max_iter, glob_last_good_h, glob_almost_1, glob_optimal_expect_sec, glob_current_iter, glob_warned, glob_smallish_float, glob_log10_abserr, glob_disp_incr, centuries_in_millinium, years_in_century, glob_dump, glob_no_eqs, glob_abserr, glob_large_float, glob_clock_start_sec, djd_debug2, glob_log10relerr, glob_warned2, glob_small_float, glob_max_rel_trunc_err, glob_max_hours, glob_relerr, glob_hmin_init, glob_optimal_done, glob_clock_sec, glob_subiter_method, glob_normmax, glob_hmax, min_in_hour, glob_html_log, glob_max_minutes, glob_log10abserr, glob_max_trunc_err, glob_optimal_start, glob_optimal_clock_start_sec, glob_h, glob_not_yet_start_msg, days_in_year, sec_in_min, glob_display_flag, glob_start, glob_max_sec, glob_log10_relerr, glob_not_yet_finished, glob_unchanged_h_cnt, glob_dump_analytic, glob_max_opt_iter, array_const_1D0, array_const_0D0, array_const_1, array_const_5, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_x, array_1st_rel_error, array_pole, array_y1_init, array_y2, array_y1, array_type_pole, array_y2_init, array_m1, array_norms, array_last_rel_error, array_y1_higher_work2, array_y1_higher_work, array_y2_set_initial, array_y2_higher_work2, array_poles, array_real_pole, array_y2_higher, array_y1_set_initial, array_complex_pole, array_y2_higher_work, array_y1_higher, glob_last; n := glob_max_terms; m := n - 6; while 10 <= m and (abs(array_y2_higher[1, m]) < glob_small_float or abs(array_y2_higher[1, m - 1]) < glob_small_float or abs(array_y2_higher[1, m - 2]) < glob_small_float) do m := m - 1 end do; if 10 < m then rm0 := array_y2_higher[1, m]/array_y2_higher[1, m - 1]; rm1 := array_y2_higher[1, m - 1]/array_y2_higher[1, m - 2]; hdrc := convfloat(m - 1)*rm0 - convfloat(m - 2)*rm1; if glob_small_float < abs(hdrc) then rcs := glob_h/hdrc; ord_no := convfloat(m - 1)*rm0/hdrc - convfloat(m) + 2.0; 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 (abs(array_y1_higher[1, m]) < glob_small_float or abs(array_y1_higher[1, m - 1]) < glob_small_float or abs(array_y1_higher[1, m - 2]) < glob_small_float) do m := m - 1 end do; if 10 < m then rm0 := array_y1_higher[1, m]/array_y1_higher[1, m - 1]; rm1 := array_y1_higher[1, m - 1]/array_y1_higher[1, m - 2]; hdrc := convfloat(m - 1)*rm0 - convfloat(m - 2)*rm1; if glob_small_float < abs(hdrc) then rcs := glob_h/hdrc; ord_no := convfloat(m - 1)*rm0/hdrc - convfloat(m) + 2.0; 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 - 6; cnt := 0; while cnt < 5 and 10 <= n do if glob_small_float < abs(array_y2_higher[1, n]) then cnt := cnt + 1 else cnt := 0 end if; n := n - 1 end do; m := n + cnt; if m <= 10 then array_complex_pole[1, 1] := glob_large_float; array_complex_pole[1, 2] := glob_large_float elif glob_large_float <= abs(array_y2_higher[1, m]) or glob_large_float <= abs(array_y2_higher[1, m - 1]) or glob_large_float <= abs(array_y2_higher[1, m - 2]) or glob_large_float <= abs(array_y2_higher[1, m - 3]) or glob_large_float <= abs(array_y2_higher[1, m - 4]) or glob_large_float <= abs(array_y2_higher[1, m - 5]) then array_complex_pole[1, 1] := glob_large_float; array_complex_pole[1, 2] := glob_large_float else rm0 := array_y2_higher[1, m]/array_y2_higher[1, m - 1]; rm1 := array_y2_higher[1, m - 1]/array_y2_higher[1, m - 2]; rm2 := array_y2_higher[1, m - 2]/array_y2_higher[1, m - 3]; rm3 := array_y2_higher[1, m - 3]/array_y2_higher[1, m - 4]; rm4 := array_y2_higher[1, m - 4]/array_y2_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 abs(nr1*dr2 - nr2*dr1) <= glob_small_float or abs(dr1) <= glob_small_float then array_complex_pole[1, 1] := glob_large_float; array_complex_pole[1, 2] := glob_large_float else if glob_small_float < abs(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 < abs(rcs) then if 0. < rcs then rad_c := sqrt(rcs)*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 < abs(array_y1_higher[1, n]) then cnt := cnt + 1 else cnt := 0 end if; n := n - 1 end do; m := n + cnt; if m <= 10 then array_complex_pole[2, 1] := glob_large_float; array_complex_pole[2, 2] := glob_large_float elif glob_large_float <= abs(array_y1_higher[1, m]) or glob_large_float <= abs(array_y1_higher[1, m - 1]) or glob_large_float <= abs(array_y1_higher[1, m - 2]) or glob_large_float <= abs(array_y1_higher[1, m - 3]) or glob_large_float <= abs(array_y1_higher[1, m - 4]) or glob_large_float <= abs(array_y1_higher[1, m - 5]) then array_complex_pole[2, 1] := glob_large_float; array_complex_pole[2, 2] := glob_large_float else rm0 := array_y1_higher[1, m]/array_y1_higher[1, m - 1]; rm1 := array_y1_higher[1, m - 1]/array_y1_higher[1, m - 2]; rm2 := array_y1_higher[1, m - 2]/array_y1_higher[1, m - 3]; rm3 := array_y1_higher[1, m - 3]/array_y1_higher[1, m - 4]; rm4 := array_y1_higher[1, m - 4]/array_y1_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 abs(nr1*dr2 - nr2*dr1) <= glob_small_float or abs(dr1) <= glob_small_float then array_complex_pole[2, 1] := glob_large_float; array_complex_pole[2, 2] := glob_large_float else if glob_small_float < abs(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 < abs(rcs) then if 0. < rcs then rad_c := sqrt(rcs)*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 := false; if not found 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 := true; array_type_pole[1] := 2; if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used") end if end if; if not found 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 0. < 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 := true; array_type_pole[1] := 1; if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used") end if end if; if not found 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 := true; array_type_pole[1] := 3; if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if end if; if not found and array_real_pole[1, 1] < array_complex_pole[1, 1] and 0. < array_real_pole[1, 1] and 0. < 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 := true; array_type_pole[1] := 1; if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used") end if end if; if not found 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 := true; if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used") end if end if; if not found then array_poles[1, 1] := glob_large_float; array_poles[1, 2] := glob_large_float; array_type_pole[1] := 3; if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if end if; found := false; if not found 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 := true; array_type_pole[2] := 2; if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used") end if end if; if not found 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 0. < 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 := true; array_type_pole[2] := 1; if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used") end if end if; if not found 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 := true; array_type_pole[2] := 3; if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if end if; if not found and array_real_pole[2, 1] < array_complex_pole[2, 1] and 0. < array_real_pole[2, 1] and 0. < 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 := true; array_type_pole[2] := 1; if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used") end if end if; if not found 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 := true; if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used") end if end if; if not found then array_poles[2, 1] := glob_large_float; array_poles[2, 2] := glob_large_float; array_type_pole[2] := 3; if glob_display_flag then omniout_str(ALWAYS, "NO POLE") 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; display_pole() end proc > # Begin Function number 7 > get_norms := proc() > global > INFO, > DEBUGL, > glob_iolevel, > ALWAYS, > glob_max_terms, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_curr_iter_when_opt, > hours_in_day, > djd_debug, > glob_log10normmin, > glob_look_poles, > glob_hmin, > glob_reached_optimal_h, > glob_initial_pass, > glob_percent_done, > glob_iter, > glob_orig_start_sec, > glob_max_iter, > glob_last_good_h, > glob_almost_1, > glob_optimal_expect_sec, > glob_current_iter, > glob_warned, > glob_smallish_float, > glob_log10_abserr, > glob_disp_incr, > centuries_in_millinium, > years_in_century, > glob_dump, > glob_no_eqs, > glob_abserr, > glob_large_float, > glob_clock_start_sec, > djd_debug2, > glob_log10relerr, > glob_warned2, > glob_small_float, > glob_max_rel_trunc_err, > glob_max_hours, > glob_relerr, > glob_hmin_init, > glob_optimal_done, > glob_clock_sec, > glob_subiter_method, > glob_normmax, > glob_hmax, > min_in_hour, > glob_html_log, > glob_max_minutes, > glob_log10abserr, > glob_max_trunc_err, > glob_optimal_start, > glob_optimal_clock_start_sec, > glob_h, > glob_not_yet_start_msg, > days_in_year, > sec_in_min, > glob_display_flag, > glob_start, > glob_max_sec, > glob_log10_relerr, > glob_not_yet_finished, > glob_unchanged_h_cnt, > glob_dump_analytic, > glob_max_opt_iter, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1D0, > array_const_0D0, > array_const_1, > array_const_5, > #END CONST > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_x, > array_1st_rel_error, > array_pole, > array_y1_init, > array_y2, > array_y1, > array_type_pole, > array_y2_init, > array_m1, > array_norms, > array_last_rel_error, > array_y1_higher_work2, > array_y1_higher_work, > array_y2_set_initial, > array_y2_higher_work2, > array_poles, > array_real_pole, > array_y2_higher, > array_y1_set_initial, > array_complex_pole, > array_y2_higher_work, > array_y1_higher, > glob_last; > > local iii; > if (not glob_initial_pass) then # if number 3 > set_z(array_norms,glob_max_terms+1); > #TOP GET NORMS > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > if (abs(array_y2[iii]) > array_norms[iii]) then # if number 4 > array_norms[iii] := abs(array_y2[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 (abs(array_y1[iii]) > array_norms[iii]) then # if number 4 > array_norms[iii] := abs(array_y1[iii]); > fi;# end if 4 > ; > iii := iii + 1; > od;# end do number 2 > #GET NORMS > ; > fi;# end if 3 > ; > # End Function number 7 > end; get_norms := proc() local iii; global INFO, DEBUGL, glob_iolevel, ALWAYS, glob_max_terms, DEBUGMASSIVE, MAX_UNCHANGED, glob_curr_iter_when_opt, hours_in_day, djd_debug, glob_log10normmin, glob_look_poles, glob_hmin, glob_reached_optimal_h, glob_initial_pass, glob_percent_done, glob_iter, glob_orig_start_sec, glob_max_iter, glob_last_good_h, glob_almost_1, glob_optimal_expect_sec, glob_current_iter, glob_warned, glob_smallish_float, glob_log10_abserr, glob_disp_incr, centuries_in_millinium, years_in_century, glob_dump, glob_no_eqs, glob_abserr, glob_large_float, glob_clock_start_sec, djd_debug2, glob_log10relerr, glob_warned2, glob_small_float, glob_max_rel_trunc_err, glob_max_hours, glob_relerr, glob_hmin_init, glob_optimal_done, glob_clock_sec, glob_subiter_method, glob_normmax, glob_hmax, min_in_hour, glob_html_log, glob_max_minutes, glob_log10abserr, glob_max_trunc_err, glob_optimal_start, glob_optimal_clock_start_sec, glob_h, glob_not_yet_start_msg, days_in_year, sec_in_min, glob_display_flag, glob_start, glob_max_sec, glob_log10_relerr, glob_not_yet_finished, glob_unchanged_h_cnt, glob_dump_analytic, glob_max_opt_iter, array_const_1D0, array_const_0D0, array_const_1, array_const_5, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_x, array_1st_rel_error, array_pole, array_y1_init, array_y2, array_y1, array_type_pole, array_y2_init, array_m1, array_norms, array_last_rel_error, array_y1_higher_work2, array_y1_higher_work, array_y2_set_initial, array_y2_higher_work2, array_poles, array_real_pole, array_y2_higher, array_y1_set_initial, array_complex_pole, array_y2_higher_work, array_y1_higher, glob_last; if not glob_initial_pass then set_z(array_norms, glob_max_terms + 1); iii := 1; while iii <= glob_max_terms do if array_norms[iii] < abs(array_y2[iii]) then array_norms[iii] := abs(array_y2[iii]) end if; iii := iii + 1 end do; iii := 1; while iii <= glob_max_terms do if array_norms[iii] < abs(array_y1[iii]) then array_norms[iii] := abs(array_y1[iii]) end if; iii := iii + 1 end do end if end proc > # Begin Function number 8 > atomall := proc() > global > INFO, > DEBUGL, > glob_iolevel, > ALWAYS, > glob_max_terms, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_curr_iter_when_opt, > hours_in_day, > djd_debug, > glob_log10normmin, > glob_look_poles, > glob_hmin, > glob_reached_optimal_h, > glob_initial_pass, > glob_percent_done, > glob_iter, > glob_orig_start_sec, > glob_max_iter, > glob_last_good_h, > glob_almost_1, > glob_optimal_expect_sec, > glob_current_iter, > glob_warned, > glob_smallish_float, > glob_log10_abserr, > glob_disp_incr, > centuries_in_millinium, > years_in_century, > glob_dump, > glob_no_eqs, > glob_abserr, > glob_large_float, > glob_clock_start_sec, > djd_debug2, > glob_log10relerr, > glob_warned2, > glob_small_float, > glob_max_rel_trunc_err, > glob_max_hours, > glob_relerr, > glob_hmin_init, > glob_optimal_done, > glob_clock_sec, > glob_subiter_method, > glob_normmax, > glob_hmax, > min_in_hour, > glob_html_log, > glob_max_minutes, > glob_log10abserr, > glob_max_trunc_err, > glob_optimal_start, > glob_optimal_clock_start_sec, > glob_h, > glob_not_yet_start_msg, > days_in_year, > sec_in_min, > glob_display_flag, > glob_start, > glob_max_sec, > glob_log10_relerr, > glob_not_yet_finished, > glob_unchanged_h_cnt, > glob_dump_analytic, > glob_max_opt_iter, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1D0, > array_const_0D0, > array_const_1, > array_const_5, > #END CONST > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_x, > array_1st_rel_error, > array_pole, > array_y1_init, > array_y2, > array_y1, > array_type_pole, > array_y2_init, > array_m1, > array_norms, > array_last_rel_error, > array_y1_higher_work2, > array_y1_higher_work, > array_y2_set_initial, > array_y2_higher_work2, > array_poles, > array_real_pole, > array_y2_higher, > array_y1_set_initial, > array_complex_pole, > array_y2_higher_work, > array_y1_higher, > glob_last; > > local kkk, order_d, adj2, temporary, term; > #TOP ATOMALL > #END OUTFILE1 > #BEGIN ATOMHDR1 > #emit pre add $eq_no = 1 i = 1 > array_tmp1[1] := array_const_0D0[1] + array_y1[1]; > #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5 > if not array_y2_set_initial[1,6] then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp1[1] * (glob_h ^ (5)) * factorial_3(0,5); > array_y2[6] := temporary; > array_y2_higher[1,6] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,5] := temporary > ; > temporary := temporary / glob_h * (3.0); > array_y2_higher[3,4] := temporary > ; > temporary := temporary / glob_h * (4.0); > array_y2_higher[4,3] := temporary > ; > temporary := temporary / glob_h * (5.0); > array_y2_higher[5,2] := temporary > ; > temporary := temporary / glob_h * (6.0); > array_y2_higher[6,1] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 2; > # emit pre mult $eq_no = 2 i = 1 > array_tmp3[1] := (array_m1[1] * (array_y2[1])); > #emit pre add $eq_no = 2 i = 1 > array_tmp4[1] := array_tmp3[1] + array_const_1D0[1]; > #emit pre assign xxx $eq_no = 2 i = 1 $min_hdrs = 5 > if not array_y1_set_initial[2,2] then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[1] * (glob_h ^ (1)) * factorial_3(0,1); > array_y1[2] := temporary; > array_y1_higher[1,2] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,1] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 2; > #END ATOMHDR1 > #BEGIN ATOMHDR2 > #emit pre add $eq_no = 1 i = 2 > array_tmp1[2] := array_const_0D0[2] + array_y1[2]; > #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5 > if not array_y2_set_initial[1,7] then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp1[2] * (glob_h ^ (5)) * factorial_3(1,6); > array_y2[7] := temporary; > array_y2_higher[1,7] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,6] := temporary > ; > temporary := temporary / glob_h * (3.0); > array_y2_higher[3,5] := temporary > ; > temporary := temporary / glob_h * (4.0); > array_y2_higher[4,4] := temporary > ; > temporary := temporary / glob_h * (5.0); > array_y2_higher[5,3] := temporary > ; > temporary := temporary / glob_h * (6.0); > array_y2_higher[6,2] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 3; > # emit pre mult $eq_no = 2 i = 2 > array_tmp3[2] := ats(2,array_m1,array_y2,1); > #emit pre add $eq_no = 2 i = 2 > array_tmp4[2] := array_tmp3[2] + array_const_1D0[2]; > #emit pre assign xxx $eq_no = 2 i = 2 $min_hdrs = 5 > if not array_y1_set_initial[2,3] then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[2] * (glob_h ^ (1)) * factorial_3(1,2); > array_y1[3] := temporary; > array_y1_higher[1,3] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,2] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 3; > #END ATOMHDR2 > #BEGIN ATOMHDR3 > #emit pre add $eq_no = 1 i = 3 > array_tmp1[3] := array_const_0D0[3] + array_y1[3]; > #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5 > if not array_y2_set_initial[1,8] then # if number 1 > if (3 <= glob_max_terms) then # if number 2 > temporary := array_tmp1[3] * (glob_h ^ (5)) * factorial_3(2,7); > array_y2[8] := temporary; > array_y2_higher[1,8] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,7] := temporary > ; > temporary := temporary / glob_h * (3.0); > array_y2_higher[3,6] := temporary > ; > temporary := temporary / glob_h * (4.0); > array_y2_higher[4,5] := temporary > ; > temporary := temporary / glob_h * (5.0); > array_y2_higher[5,4] := temporary > ; > temporary := temporary / glob_h * (6.0); > array_y2_higher[6,3] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 4; > # emit pre mult $eq_no = 2 i = 3 > array_tmp3[3] := ats(3,array_m1,array_y2,1); > #emit pre add $eq_no = 2 i = 3 > array_tmp4[3] := array_tmp3[3] + array_const_1D0[3]; > #emit pre assign xxx $eq_no = 2 i = 3 $min_hdrs = 5 > if not array_y1_set_initial[2,4] then # if number 1 > if (3 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[3] * (glob_h ^ (1)) * factorial_3(2,3); > array_y1[4] := temporary; > array_y1_higher[1,4] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,3] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 4; > #END ATOMHDR3 > #BEGIN ATOMHDR4 > #emit pre add $eq_no = 1 i = 4 > array_tmp1[4] := array_const_0D0[4] + array_y1[4]; > #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5 > if not array_y2_set_initial[1,9] then # if number 1 > if (4 <= glob_max_terms) then # if number 2 > temporary := array_tmp1[4] * (glob_h ^ (5)) * factorial_3(3,8); > array_y2[9] := temporary; > array_y2_higher[1,9] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,8] := temporary > ; > temporary := temporary / glob_h * (3.0); > array_y2_higher[3,7] := temporary > ; > temporary := temporary / glob_h * (4.0); > array_y2_higher[4,6] := temporary > ; > temporary := temporary / glob_h * (5.0); > array_y2_higher[5,5] := temporary > ; > temporary := temporary / glob_h * (6.0); > array_y2_higher[6,4] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 5; > # emit pre mult $eq_no = 2 i = 4 > array_tmp3[4] := ats(4,array_m1,array_y2,1); > #emit pre add $eq_no = 2 i = 4 > array_tmp4[4] := array_tmp3[4] + array_const_1D0[4]; > #emit pre assign xxx $eq_no = 2 i = 4 $min_hdrs = 5 > if not array_y1_set_initial[2,5] then # if number 1 > if (4 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[4] * (glob_h ^ (1)) * factorial_3(3,4); > array_y1[5] := temporary; > array_y1_higher[1,5] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,4] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 5; > #END ATOMHDR4 > #BEGIN ATOMHDR5 > #emit pre add $eq_no = 1 i = 5 > array_tmp1[5] := array_const_0D0[5] + array_y1[5]; > #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5 > if not array_y2_set_initial[1,10] then # if number 1 > if (5 <= glob_max_terms) then # if number 2 > temporary := array_tmp1[5] * (glob_h ^ (5)) * factorial_3(4,9); > array_y2[10] := temporary; > array_y2_higher[1,10] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,9] := temporary > ; > temporary := temporary / glob_h * (3.0); > array_y2_higher[3,8] := temporary > ; > temporary := temporary / glob_h * (4.0); > array_y2_higher[4,7] := temporary > ; > temporary := temporary / glob_h * (5.0); > array_y2_higher[5,6] := temporary > ; > temporary := temporary / glob_h * (6.0); > array_y2_higher[6,5] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 6; > # emit pre mult $eq_no = 2 i = 5 > array_tmp3[5] := ats(5,array_m1,array_y2,1); > #emit pre add $eq_no = 2 i = 5 > array_tmp4[5] := array_tmp3[5] + array_const_1D0[5]; > #emit pre assign xxx $eq_no = 2 i = 5 $min_hdrs = 5 > if not array_y1_set_initial[2,6] then # if number 1 > if (5 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[5] * (glob_h ^ (1)) * factorial_3(4,5); > array_y1[6] := temporary; > array_y1_higher[1,6] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_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 add $eq_no = 1 > array_tmp1[kkk] := array_const_0D0[kkk] + array_y1[kkk]; > #emit assign $eq_no = 1 > order_d := 5; > if (kkk + order_d + 1 <= glob_max_terms) then # if number 1 > if not array_y2_set_initial[1,kkk + order_d] then # if number 2 > temporary := array_tmp1[kkk] * (glob_h ^ (order_d)) / factorial_3((kkk - 1),(kkk + order_d - 1)); > array_y2[kkk + order_d] := temporary; > array_y2_higher[1,kkk + order_d] := temporary; > term := kkk + order_d - 1; > adj2 := 2; > while (adj2 <= order_d + 1) and (term >= 1) do # do number 2 > temporary := temporary / glob_h * convfp(adj2); > array_y2_higher[adj2,term] := temporary; > adj2 := adj2 + 1; > term := term - 1; > od;# end do number 2 > fi;# end if 2 > fi;# end if 1 > ; > #emit mult $eq_no = 2 > array_tmp3[kkk] := ats(kkk,array_m1,array_y2,1); > #emit add $eq_no = 2 > array_tmp4[kkk] := array_tmp3[kkk] + array_const_1D0[kkk]; > #emit assign $eq_no = 2 > order_d := 1; > if (kkk + order_d + 1 <= glob_max_terms) then # if number 1 > if not array_y1_set_initial[2,kkk + order_d] then # if number 2 > temporary := array_tmp4[kkk] * (glob_h ^ (order_d)) / factorial_3((kkk - 1),(kkk + order_d - 1)); > array_y1[kkk + order_d] := temporary; > array_y1_higher[1,kkk + order_d] := temporary; > term := kkk + order_d - 1; > adj2 := 2; > while (adj2 <= order_d + 1) and (term >= 1) do # do number 2 > temporary := temporary / glob_h * convfp(adj2); > array_y1_higher[adj2,term] := temporary; > adj2 := adj2 + 1; > term := term - 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 > # End Function number 8 > end; atomall := proc() local kkk, order_d, adj2, temporary, term; global INFO, DEBUGL, glob_iolevel, ALWAYS, glob_max_terms, DEBUGMASSIVE, MAX_UNCHANGED, glob_curr_iter_when_opt, hours_in_day, djd_debug, glob_log10normmin, glob_look_poles, glob_hmin, glob_reached_optimal_h, glob_initial_pass, glob_percent_done, glob_iter, glob_orig_start_sec, glob_max_iter, glob_last_good_h, glob_almost_1, glob_optimal_expect_sec, glob_current_iter, glob_warned, glob_smallish_float, glob_log10_abserr, glob_disp_incr, centuries_in_millinium, years_in_century, glob_dump, glob_no_eqs, glob_abserr, glob_large_float, glob_clock_start_sec, djd_debug2, glob_log10relerr, glob_warned2, glob_small_float, glob_max_rel_trunc_err, glob_max_hours, glob_relerr, glob_hmin_init, glob_optimal_done, glob_clock_sec, glob_subiter_method, glob_normmax, glob_hmax, min_in_hour, glob_html_log, glob_max_minutes, glob_log10abserr, glob_max_trunc_err, glob_optimal_start, glob_optimal_clock_start_sec, glob_h, glob_not_yet_start_msg, days_in_year, sec_in_min, glob_display_flag, glob_start, glob_max_sec, glob_log10_relerr, glob_not_yet_finished, glob_unchanged_h_cnt, glob_dump_analytic, glob_max_opt_iter, array_const_1D0, array_const_0D0, array_const_1, array_const_5, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_x, array_1st_rel_error, array_pole, array_y1_init, array_y2, array_y1, array_type_pole, array_y2_init, array_m1, array_norms, array_last_rel_error, array_y1_higher_work2, array_y1_higher_work, array_y2_set_initial, array_y2_higher_work2, array_poles, array_real_pole, array_y2_higher, array_y1_set_initial, array_complex_pole, array_y2_higher_work, array_y1_higher, glob_last; array_tmp1[1] := array_const_0D0[1] + array_y1[1]; if not array_y2_set_initial[1, 6] then if 1 <= glob_max_terms then temporary := array_tmp1[1]*glob_h^5*factorial_3(0, 5); array_y2[6] := temporary; array_y2_higher[1, 6] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 5] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[3, 4] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[4, 3] := temporary; temporary := temporary*5.0/glob_h; array_y2_higher[5, 2] := temporary; temporary := temporary*6.0/glob_h; array_y2_higher[6, 1] := temporary end if end if; kkk := 2; array_tmp3[1] := array_m1[1]*array_y2[1]; array_tmp4[1] := array_tmp3[1] + array_const_1D0[1]; if not array_y1_set_initial[2, 2] then if 1 <= glob_max_terms then temporary := array_tmp4[1]*glob_h*factorial_3(0, 1); array_y1[2] := temporary; array_y1_higher[1, 2] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 1] := temporary end if end if; kkk := 2; array_tmp1[2] := array_const_0D0[2] + array_y1[2]; if not array_y2_set_initial[1, 7] then if 2 <= glob_max_terms then temporary := array_tmp1[2]*glob_h^5*factorial_3(1, 6); array_y2[7] := temporary; array_y2_higher[1, 7] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 6] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[3, 5] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[4, 4] := temporary; temporary := temporary*5.0/glob_h; array_y2_higher[5, 3] := temporary; temporary := temporary*6.0/glob_h; array_y2_higher[6, 2] := temporary end if end if; kkk := 3; array_tmp3[2] := ats(2, array_m1, array_y2, 1); array_tmp4[2] := array_tmp3[2] + array_const_1D0[2]; if not array_y1_set_initial[2, 3] then if 2 <= glob_max_terms then temporary := array_tmp4[2]*glob_h*factorial_3(1, 2); array_y1[3] := temporary; array_y1_higher[1, 3] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 2] := temporary end if end if; kkk := 3; array_tmp1[3] := array_const_0D0[3] + array_y1[3]; if not array_y2_set_initial[1, 8] then if 3 <= glob_max_terms then temporary := array_tmp1[3]*glob_h^5*factorial_3(2, 7); array_y2[8] := temporary; array_y2_higher[1, 8] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 7] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[3, 6] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[4, 5] := temporary; temporary := temporary*5.0/glob_h; array_y2_higher[5, 4] := temporary; temporary := temporary*6.0/glob_h; array_y2_higher[6, 3] := temporary end if end if; kkk := 4; array_tmp3[3] := ats(3, array_m1, array_y2, 1); array_tmp4[3] := array_tmp3[3] + array_const_1D0[3]; if not array_y1_set_initial[2, 4] then if 3 <= glob_max_terms then temporary := array_tmp4[3]*glob_h*factorial_3(2, 3); array_y1[4] := temporary; array_y1_higher[1, 4] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 3] := temporary end if end if; kkk := 4; array_tmp1[4] := array_const_0D0[4] + array_y1[4]; if not array_y2_set_initial[1, 9] then if 4 <= glob_max_terms then temporary := array_tmp1[4]*glob_h^5*factorial_3(3, 8); array_y2[9] := temporary; array_y2_higher[1, 9] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 8] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[3, 7] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[4, 6] := temporary; temporary := temporary*5.0/glob_h; array_y2_higher[5, 5] := temporary; temporary := temporary*6.0/glob_h; array_y2_higher[6, 4] := temporary end if end if; kkk := 5; array_tmp3[4] := ats(4, array_m1, array_y2, 1); array_tmp4[4] := array_tmp3[4] + array_const_1D0[4]; if not array_y1_set_initial[2, 5] then if 4 <= glob_max_terms then temporary := array_tmp4[4]*glob_h*factorial_3(3, 4); array_y1[5] := temporary; array_y1_higher[1, 5] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 4] := temporary end if end if; kkk := 5; array_tmp1[5] := array_const_0D0[5] + array_y1[5]; if not array_y2_set_initial[1, 10] then if 5 <= glob_max_terms then temporary := array_tmp1[5]*glob_h^5*factorial_3(4, 9); array_y2[10] := temporary; array_y2_higher[1, 10] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 9] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[3, 8] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[4, 7] := temporary; temporary := temporary*5.0/glob_h; array_y2_higher[5, 6] := temporary; temporary := temporary*6.0/glob_h; array_y2_higher[6, 5] := temporary end if end if; kkk := 6; array_tmp3[5] := ats(5, array_m1, array_y2, 1); array_tmp4[5] := array_tmp3[5] + array_const_1D0[5]; if not array_y1_set_initial[2, 6] then if 5 <= glob_max_terms then temporary := array_tmp4[5]*glob_h*factorial_3(4, 5); array_y1[6] := temporary; array_y1_higher[1, 6] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 5] := temporary end if end if; kkk := 6; while kkk <= glob_max_terms do array_tmp1[kkk] := array_const_0D0[kkk] + array_y1[kkk]; order_d := 5; if kkk + order_d + 1 <= glob_max_terms then if not array_y2_set_initial[1, kkk + order_d] then temporary := array_tmp1[kkk]*glob_h^order_d/ factorial_3(kkk - 1, kkk + order_d - 1); array_y2[kkk + order_d] := temporary; array_y2_higher[1, kkk + order_d] := temporary; term := kkk + order_d - 1; adj2 := 2; while adj2 <= order_d + 1 and 1 <= term do temporary := temporary*convfp(adj2)/glob_h; array_y2_higher[adj2, term] := temporary; adj2 := adj2 + 1; term := term - 1 end do end if end if; array_tmp3[kkk] := ats(kkk, array_m1, array_y2, 1); array_tmp4[kkk] := array_tmp3[kkk] + array_const_1D0[kkk]; order_d := 1; if kkk + order_d + 1 <= glob_max_terms then if not array_y1_set_initial[2, kkk + order_d] then temporary := array_tmp4[kkk]*glob_h^order_d/ factorial_3(kkk - 1, kkk + order_d - 1); array_y1[kkk + order_d] := temporary; array_y1_higher[1, kkk + order_d] := temporary; term := kkk + order_d - 1; adj2 := 2; while adj2 <= order_d + 1 and 1 <= term do temporary := temporary*convfp(adj2)/glob_h; array_y1_higher[adj2, term] := temporary; adj2 := adj2 + 1; term := term - 1 end do end if end if; kkk := kkk + 1 end do end proc > #BEGIN ATS LIBRARY BLOCK > omniout_str := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > printf("%s\n",str); > fi; > # End Function number 1 > end; omniout_str := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s\n", str) end if end proc > omniout_str_noeol := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > printf("%s",str); > fi; > # End Function number 1 > end; omniout_str_noeol := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s", str) end if end proc > omniout_labstr := proc(iolevel,label,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > print(label,str); > fi; > # End Function number 1 > end; omniout_labstr := proc(iolevel, label, str) global glob_iolevel; if iolevel <= glob_iolevel then print(label, str) end if end proc > omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= 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); > fi; > fi; > # End Function number 1 > 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 > omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > if vallen = 5 then > printf("%-30s = %-32d %s\n",prelabel,value, postlabel); > else > printf("%-30s = %-32d %s \n",prelabel,value, postlabel); > fi; > fi; > # End Function number 1 > 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 > omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > print(prelabel,"[",elemnt,"]",value, postlabel); > fi; > # End Function number 1 > 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 > dump_series := proc(iolevel,dump_label,series_name, > array_series,numb) > global glob_iolevel; > local i; > if (glob_iolevel >= iolevel) then > i := 1; > while (i <= numb) do > print(dump_label,series_name > ,i,array_series[i]); > i := i + 1; > od; > fi; > # End Function number 1 > end; dump_series := proc(iolevel, dump_label, series_name, array_series, numb) local i; global glob_iolevel; if iolevel <= glob_iolevel then i := 1; while i <= numb do print(dump_label, series_name, i, array_series[i]); i := i + 1 end do end if end proc > dump_series_2 := proc(iolevel,dump_label,series_name2, > array_series2,numb,subnum,array_x) > global glob_iolevel; > local i,sub,ts_term; > if (glob_iolevel >= iolevel) then > sub := 1; > while (sub <= subnum) do > i := 1; > while (i <= numb) do > print(dump_label,series_name2,sub,i,array_series2[sub,i]); > od; > sub := sub + 1; > od; > fi; > # End Function number 1 > end; dump_series_2 := proc( iolevel, dump_label, series_name2, array_series2, numb, subnum, array_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, array_series2[sub, i]) end do; sub := sub + 1 end do end if end proc > cs_info := proc(iolevel,str) > global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h; > if (glob_iolevel >= 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) > fi; > # End Function number 1 > 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 > # Begin Function number 2 > logitem_time := proc(fd,secs_in) > global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century; > local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int; > secs := (secs_in); > if (secs > 0.0) then # if number 1 > sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium); > milliniums := convfloat(secs / sec_in_millinium); > millinium_int := floor(milliniums); > centuries := (milliniums - millinium_int)*centuries_in_millinium; > cent_int := floor(centuries); > years := (centuries - cent_int) * years_in_century; > years_int := floor(years); > days := (years - years_int) * days_in_year; > days_int := floor(days); > hours := (days - days_int) * hours_in_day; > hours_int := floor(hours); > minutes := (hours - hours_int) * min_in_hour; > minutes_int := floor(minutes); > seconds := (minutes - minutes_int) * sec_in_min; > sec_int := floor(seconds); > fprintf(fd,""); > if (millinium_int > 0) then # if number 2 > fprintf(fd,"%d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int); > elif (cent_int > 0) then # if number 3 > fprintf(fd,"%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",cent_int,years_int,days_int,hours_int,minutes_int,sec_int); > elif (years_int > 0) then # if number 4 > 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 5 > 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 6 > fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int); > elif (minutes_int > 0) then # if number 7 > fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int); > else > fprintf(fd,"%d Seconds",sec_int); > fi;# end if 7 > else > fprintf(fd,"Unknown"); > fi;# end if 6 > fprintf(fd,""); > # End Function number 2 > end; logitem_time := proc(fd, secs_in) local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int; global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century; secs := secs_in; if 0. < secs then sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day* days_in_year*years_in_century*centuries_in_millinium); milliniums := convfloat(secs/sec_in_millinium); millinium_int := floor(milliniums); centuries := (milliniums - millinium_int)*centuries_in_millinium; cent_int := floor(centuries); years := (centuries - cent_int)*years_in_century; years_int := floor(years); days := (years - years_int)*days_in_year; days_int := floor(days); hours := (days - days_int)*hours_in_day; hours_int := floor(hours); minutes := (hours - hours_int)*min_in_hour; minutes_int := floor(minutes); seconds := (minutes - minutes_int)*sec_in_min; sec_int := floor(seconds); fprintf(fd, ""); if 0 < millinium_int then fprintf(fd, "%d Millinia %d Centuries %\ d Years %d Days %d Hours %d Minutes %d Seconds", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < cent_int then fprintf(fd, "%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elif 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, "") end proc > omniout_timestr := proc (secs_in) > global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century; > local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int; > secs := convfloat(secs_in); > if (secs > 0.0) then # if number 6 > sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium); > milliniums := convfloat(secs / sec_in_millinium); > millinium_int := floor(milliniums); > centuries := (milliniums - millinium_int)*centuries_in_millinium; > cent_int := floor(centuries); > years := (centuries - cent_int) * years_in_century; > years_int := floor(years); > days := (years - years_int) * days_in_year; > days_int := floor(days); > hours := (days - days_int) * hours_in_day; > hours_int := floor(hours); > minutes := (hours - hours_int) * min_in_hour; > minutes_int := floor(minutes); > seconds := (minutes - minutes_int) * sec_in_min; > sec_int := floor(seconds); > > if (millinium_int > 0) then # if number 7 > printf(" = %d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int); > elif (cent_int > 0) then # if number 8 > printf(" = %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",cent_int,years_int,days_int,hours_int,minutes_int,sec_int); > elif (years_int > 0) then # if number 9 > 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 10 > 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 11 > printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int); > elif (minutes_int > 0) then # if number 12 > printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int); > else > printf(" = %d Seconds\n",sec_int); > fi;# end if 12 > else > printf(" Unknown\n"); > fi;# end if 11 > # End Function number 2 > end; omniout_timestr := proc(secs_in) local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int; global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century; secs := convfloat(secs_in); if 0. < secs then sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day* days_in_year*years_in_century*centuries_in_millinium); milliniums := convfloat(secs/sec_in_millinium); millinium_int := floor(milliniums); centuries := (milliniums - millinium_int)*centuries_in_millinium; cent_int := floor(centuries); years := (centuries - cent_int)*years_in_century; years_int := floor(years); days := (years - years_int)*days_in_year; days_int := floor(days); hours := (days - days_int)*hours_in_day; hours_int := floor(hours); minutes := (hours - hours_int)*min_in_hour; minutes_int := floor(minutes); seconds := (minutes - minutes_int)*sec_in_min; sec_int := floor(seconds); if 0 < millinium_int then printf(" = %d Millinia %d Centuries %d\ Years %d Days %d Hours %d Minutes %d Seconds\n", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < cent_int then printf(" = %d Centuries %d Years %d Days \ %d Hours %d Minutes %d Seconds\n", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elif 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 > > # Begin Function number 3 > ats := proc( > mmm_ats,array_a,array_b,jjj_ats) > local iii_ats, lll_ats,ma_ats, ret_ats; > ret_ats := 0.0; > if (jjj_ats <= mmm_ats) then # if number 11 > 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 + array_a[iii_ats]*array_b[lll_ats]; > iii_ats := iii_ats + 1; > od;# end do number 1 > fi;# end if 11 > ; > ret_ats > # End Function number 3 > end; ats := proc(mmm_ats, array_a, array_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 + array_a[iii_ats]*array_b[lll_ats]; iii_ats := iii_ats + 1 end do end if; ret_ats end proc > > # Begin Function number 4 > att := proc( > mmm_att,array_aa,array_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 11 > 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 12 > ret_att := ret_att + array_aa[iii_att]*array_bb[lll_att]* convfp(al_att); > fi;# end if 12 > ; > iii_att := iii_att + 1; > od;# end do number 1 > ; > ret_att := ret_att / convfp(mmm_att) ; > fi;# end if 11 > ; > ret_att; > # End Function number 4 > end; att := proc(mmm_att, array_aa, array_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 + array_aa[iii_att]*array_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 > # Begin Function number 5 > 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 11 > 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 11 > # End Function number 5 > 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 > # Begin Function number 6 > logditto := proc(file) > fprintf(file,""); > fprintf(file,"ditto"); > fprintf(file,""); > # End Function number 6 > end; logditto := proc(file) fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, "") end proc > # Begin Function number 7 > logitem_integer := proc(file,n) > fprintf(file,""); > fprintf(file,"%d",n); > fprintf(file,""); > # End Function number 7 > end; logitem_integer := proc(file, n) fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, "") end proc > # Begin Function number 8 > logitem_str := proc(file,str) > fprintf(file,""); > fprintf(file,str); > fprintf(file,""); > # End Function number 8 > end; logitem_str := proc(file, str) fprintf(file, ""); fprintf(file, str); fprintf(file, "") end proc > # Begin Function number 9 > log_revs := proc(file,revs) > fprintf(file,revs); > # End Function number 9 > end; log_revs := proc(file, revs) fprintf(file, revs) end proc > # Begin Function number 10 > logitem_float := proc(file,x) > fprintf(file,""); > fprintf(file,"%g",x); > fprintf(file,""); > # End Function number 10 > end; logitem_float := proc(file, x) fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, "") end proc > # Begin Function number 11 > logitem_pole := proc(file,pole) > fprintf(file,""); > if pole = 0 then # if number 11 > fprintf(file,"NA"); > elif pole = 1 then # if number 12 > fprintf(file,"Real"); > elif pole = 2 then # if number 13 > fprintf(file,"Complex"); > else > fprintf(file,"No Pole"); > fi;# end if 13 > fprintf(file,""); > # End Function number 11 > 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 > # Begin Function number 12 > logstart := proc(file) > fprintf(file,""); > # End Function number 12 > end; logstart := proc(file) fprintf(file, "") end proc > # Begin Function number 13 > logend := proc(file) > fprintf(file,"\n"); > # End Function number 13 > end; logend := proc(file) fprintf(file, "\n") end proc > # Begin Function number 14 > 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 13 > omniout_str(ALWAYS,"Illegal max_terms = -- Using 30"); > glob_max_terms := 30; > fi;# end if 13 > ; > if (glob_max_iter < 2) then # if number 13 > omniout_str(ALWAYS,"Illegal max_iter"); > errflag := true; > fi;# end if 13 > ; > if (errflag) then # if number 13 > > quit; > fi;# end if 13 > # End Function number 14 > 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 > > # Begin Function number 15 > comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec) > global glob_small_float; > local ms2, rrr, sec_left, sub1, sub2; > ; > ms2 := clock_sec; > sub1 := (t_end2-t_start2); > sub2 := (t2-t_start2); > if (sub1 = 0.0) then # if number 13 > sec_left := 0.0; > else > if (abs(sub2) > 0.0) then # if number 14 > rrr := (sub1/sub2); > sec_left := rrr * ms2 - ms2; > else > sec_left := 0.0; > fi;# end if 14 > fi;# end if 13 > ; > sec_left; > # End Function number 15 > end; comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec) local ms2, rrr, sec_left, sub1, sub2; global glob_small_float; ms2 := clock_sec; sub1 := t_end2 - t_start2; sub2 := t2 - t_start2; if sub1 = 0. then sec_left := 0. else if 0. < abs(sub2) then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2 else sec_left := 0. end if end if; sec_left end proc > > # Begin Function number 16 > 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 (abs(sub2) > glob_small_float) then # if number 13 > rrr := (100.0*sub2)/sub1; > else > rrr := 0.0; > fi;# end if 13 > ; > rrr > # End Function number 16 > 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 < abs(sub2) then rrr := 100.0*sub2/sub1 else rrr := 0. end if; rrr end proc > > # Begin Function number 17 > factorial_1 := proc(nnn) > nnn!; > > # End Function number 17 > end; factorial_1 := proc(nnn) nnn! end proc > > # Begin Function number 18 > factorial_3 := proc(mmm2,nnn2) > (mmm2!)/(nnn2!); > > # End Function number 18 > end; factorial_3 := proc(mmm2, nnn2) mmm2!/nnn2! end proc > # Begin Function number 19 > convfp := proc(mmm) > (mmm); > > # End Function number 19 > end; convfp := proc(mmm) mmm end proc > # Begin Function number 20 > convfloat := proc(mmm) > (mmm); > > # End Function number 20 > end; convfloat := proc(mmm) mmm end proc > elapsed_time_seconds := proc() > time(); > end; elapsed_time_seconds := proc() time() end proc > > > > #END ATS LIBRARY BLOCK > #BEGIN USER DEF BLOCK > #BEGIN USER DEF BLOCK > exact_soln_y1 := proc(x) > 1.0 + cos(x); > end; exact_soln_y1 := proc(x) 1.0 + cos(x) end proc > exact_soln_y2 := proc(x) > 1.0 + sin(x); > end; exact_soln_y2 := proc(x) 1.0 + sin(x) end proc > exact_soln_y2p := proc(x) > cos(x); > end; exact_soln_y2p := proc(x) cos(x) end proc > exact_soln_y2pp := proc(x) > -sin(x); > end; exact_soln_y2pp := proc(x) -sin(x) end proc > exact_soln_y2ppp := proc(x) > -cos(x); > end; exact_soln_y2ppp := proc(x) -cos(x) end proc > exact_soln_y2pppp := proc(x) > sin(x); > end; exact_soln_y2pppp := proc(x) sin(x) end proc > > #END USER DEF BLOCK > #END USER DEF BLOCK > #END OUTFILE5 > # Begin Function number 2 > mainprog := proc() > #BEGIN OUTFIEMAIN > local d1,d2,d3,d4,est_err_2,niii,done_once, > term,ord,order_diff,term_no,html_log_file, > rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter, > x_start,x_end > ,it, log10norm, max_terms, opt_iter, tmp; > #Top Generate Globals Definition > #Bottom Generate Globals Deninition > global > INFO, > DEBUGL, > glob_iolevel, > ALWAYS, > glob_max_terms, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_curr_iter_when_opt, > hours_in_day, > djd_debug, > glob_log10normmin, > glob_look_poles, > glob_hmin, > glob_reached_optimal_h, > glob_initial_pass, > glob_percent_done, > glob_iter, > glob_orig_start_sec, > glob_max_iter, > glob_last_good_h, > glob_almost_1, > glob_optimal_expect_sec, > glob_current_iter, > glob_warned, > glob_smallish_float, > glob_log10_abserr, > glob_disp_incr, > centuries_in_millinium, > years_in_century, > glob_dump, > glob_no_eqs, > glob_abserr, > glob_large_float, > glob_clock_start_sec, > djd_debug2, > glob_log10relerr, > glob_warned2, > glob_small_float, > glob_max_rel_trunc_err, > glob_max_hours, > glob_relerr, > glob_hmin_init, > glob_optimal_done, > glob_clock_sec, > glob_subiter_method, > glob_normmax, > glob_hmax, > min_in_hour, > glob_html_log, > glob_max_minutes, > glob_log10abserr, > glob_max_trunc_err, > glob_optimal_start, > glob_optimal_clock_start_sec, > glob_h, > glob_not_yet_start_msg, > days_in_year, > sec_in_min, > glob_display_flag, > glob_start, > glob_max_sec, > glob_log10_relerr, > glob_not_yet_finished, > glob_unchanged_h_cnt, > glob_dump_analytic, > glob_max_opt_iter, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1D0, > array_const_0D0, > array_const_1, > array_const_5, > #END CONST > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_x, > array_1st_rel_error, > array_pole, > array_y1_init, > array_y2, > array_y1, > array_type_pole, > array_y2_init, > array_m1, > array_norms, > array_last_rel_error, > array_y1_higher_work2, > array_y1_higher_work, > array_y2_set_initial, > array_y2_higher_work2, > array_poles, > array_real_pole, > array_y2_higher, > array_y1_set_initial, > array_complex_pole, > array_y2_higher_work, > array_y1_higher, > glob_last; > glob_last; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > glob_iolevel := INFO; > INFO := 2; > DEBUGL := 3; > glob_iolevel := 5; > ALWAYS := 1; > glob_max_terms := 30; > DEBUGMASSIVE := 4; > MAX_UNCHANGED := 10; > glob_curr_iter_when_opt := 0; > hours_in_day := 24.0; > djd_debug := true; > glob_log10normmin := 0.1; > glob_look_poles := false; > glob_hmin := 0.00000000001; > glob_reached_optimal_h := false; > glob_initial_pass := true; > glob_percent_done := 0.0; > glob_iter := 0; > glob_orig_start_sec := 0.0; > glob_max_iter := 1000; > glob_last_good_h := 0.1; > glob_almost_1 := 0.9990; > glob_optimal_expect_sec := 0.1; > glob_current_iter := 0; > glob_warned := false; > glob_smallish_float := 0.1e-100; > glob_log10_abserr := 0.1e-10; > glob_disp_incr := 0.1; > centuries_in_millinium := 10.0; > years_in_century := 100.0; > glob_dump := false; > glob_no_eqs := 0; > glob_abserr := 0.1e-10; > glob_large_float := 9.0e100; > glob_clock_start_sec := 0.0; > djd_debug2 := true; > glob_log10relerr := 0.0; > glob_warned2 := false; > glob_small_float := 0.1e-50; > glob_max_rel_trunc_err := 0.1e-10; > glob_max_hours := 0.0; > glob_relerr := 0.1e-10; > glob_hmin_init := 0.001; > glob_optimal_done := false; > glob_clock_sec := 0.0; > glob_subiter_method := 3; > glob_normmax := 0.0; > glob_hmax := 1.0; > min_in_hour := 60.0; > glob_html_log := true; > glob_max_minutes := 0.0; > glob_log10abserr := 0.0; > glob_max_trunc_err := 0.1e-10; > glob_optimal_start := 0.0; > glob_optimal_clock_start_sec := 0.0; > glob_h := 0.1; > glob_not_yet_start_msg := true; > days_in_year := 365.0; > sec_in_min := 60.0; > glob_display_flag := true; > glob_start := 0; > glob_max_sec := 10000.0; > glob_log10_relerr := 0.1e-10; > glob_not_yet_finished := true; > glob_unchanged_h_cnt := 0; > glob_dump_analytic := false; > glob_max_opt_iter := 10; > #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/mtest7postode.ode#################"); > omniout_str(ALWAYS,"diff ( y2 , x , 5 ) = y1 ;"); > omniout_str(ALWAYS,"diff ( y1 , x , 1 ) = m1 * y2 + 1.0;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"Digits := 32;"); > 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,"x_start := 0.0;"); > omniout_str(ALWAYS,"x_end := 5.0;"); > omniout_str(ALWAYS,"array_y1_init[0 + 1] := exact_soln_y1(x_start);"); > omniout_str(ALWAYS,"array_y2_init[0 + 1] := exact_soln_y2(x_start);"); > omniout_str(ALWAYS,"array_y2_init[1 + 1] := exact_soln_y2p(x_start);"); > omniout_str(ALWAYS,"array_y2_init[2 + 1] := exact_soln_y2pp(x_start);"); > omniout_str(ALWAYS,"array_y2_init[3 + 1] := exact_soln_y2ppp(x_start);"); > omniout_str(ALWAYS,"array_y2_init[4 + 1] := exact_soln_y2pppp(x_start);"); > omniout_str(ALWAYS,"glob_h := 0.00001;"); > omniout_str(ALWAYS,"glob_look_poles := true;"); > omniout_str(ALWAYS,"glob_max_iter := 20;"); > omniout_str(ALWAYS,"#END SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK"); > omniout_str(ALWAYS,"glob_h := 0.0001 ;"); > omniout_str(ALWAYS,"glob_look_poles := true;"); > omniout_str(ALWAYS,"glob_max_iter := 1000;"); > omniout_str(ALWAYS,"glob_max_minutes := 15;"); > omniout_str(ALWAYS,"#END OVERRIDE BLOCK"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK"); > omniout_str(ALWAYS,"exact_soln_y1 := proc(x)"); > omniout_str(ALWAYS,"1.0 + cos(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y2 := proc(x)"); > omniout_str(ALWAYS,"1.0 + sin(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y2p := proc(x)"); > omniout_str(ALWAYS,"cos(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y2pp := proc(x)"); > omniout_str(ALWAYS,"-sin(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y2ppp := proc(x)"); > omniout_str(ALWAYS,"-cos(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y2pppp := proc(x)"); > omniout_str(ALWAYS,"sin(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,""); > 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; > glob_log10_abserr := -8.0; > glob_log10_relerr := -8.0; > glob_hmax := 0.01; > #BEGIN FIRST INPUT BLOCK > #BEGIN FIRST INPUT BLOCK > Digits := 32; > 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_tmp0:= Array(1..(max_terms + 1),[]); > array_tmp1:= Array(1..(max_terms + 1),[]); > array_tmp2:= Array(1..(max_terms + 1),[]); > array_tmp3:= Array(1..(max_terms + 1),[]); > array_tmp4:= Array(1..(max_terms + 1),[]); > array_x:= Array(1..(max_terms + 1),[]); > array_1st_rel_error:= Array(1..(max_terms + 1),[]); > array_pole:= Array(1..(max_terms + 1),[]); > array_y1_init:= Array(1..(max_terms + 1),[]); > array_y2:= Array(1..(max_terms + 1),[]); > array_y1:= Array(1..(max_terms + 1),[]); > array_type_pole:= Array(1..(max_terms + 1),[]); > array_y2_init:= Array(1..(max_terms + 1),[]); > array_m1:= Array(1..(max_terms + 1),[]); > array_norms:= Array(1..(max_terms + 1),[]); > array_last_rel_error:= Array(1..(max_terms + 1),[]); > array_y1_higher_work2 := Array(1..(2+ 1) ,(1..max_terms+ 1),[]); > array_y1_higher_work := Array(1..(2+ 1) ,(1..max_terms+ 1),[]); > array_y2_set_initial := Array(1..(3+ 1) ,(1..max_terms+ 1),[]); > array_y2_higher_work2 := Array(1..(6+ 1) ,(1..max_terms+ 1),[]); > array_poles := Array(1..(2+ 1) ,(1..3+ 1),[]); > array_real_pole := Array(1..(2+ 1) ,(1..3+ 1),[]); > array_y2_higher := Array(1..(6+ 1) ,(1..max_terms+ 1),[]); > array_y1_set_initial := Array(1..(3+ 1) ,(1..max_terms+ 1),[]); > array_complex_pole := Array(1..(2+ 1) ,(1..3+ 1),[]); > array_y2_higher_work := Array(1..(6+ 1) ,(1..max_terms+ 1),[]); > array_y1_higher := Array(1..(2+ 1) ,(1..max_terms+ 1),[]); > 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_x[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_pole[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y1_init[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y2[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y1[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_y2_init[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 > ; > 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_last_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y1_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 <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y1_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_y2_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 <=6 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y2_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 <=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 <=6 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y2_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_y1_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_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 <=6 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y2_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 <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y1_higher[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_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_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_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_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_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_x := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_y1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_y1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_y2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_y2[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_1D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_1D0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_1D0[1] := 1.0; > 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_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_5 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_5[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_5[1] := 5; > 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 > #TOP SECOND INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > #END FIRST INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > x_start := 0.0; > x_end := 5.0; > array_y1_init[0 + 1] := exact_soln_y1(x_start); > array_y2_init[0 + 1] := exact_soln_y2(x_start); > array_y2_init[1 + 1] := exact_soln_y2p(x_start); > array_y2_init[2 + 1] := exact_soln_y2pp(x_start); > array_y2_init[3 + 1] := exact_soln_y2ppp(x_start); > array_y2_init[4 + 1] := exact_soln_y2pppp(x_start); > glob_h := 0.00001; > glob_look_poles := true; > glob_max_iter := 20; > #END SECOND INPUT BLOCK > #BEGIN OVERRIDE BLOCK > glob_h := 0.0001 ; > glob_look_poles := true; > glob_max_iter := 1000; > glob_max_minutes := 15; > #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); > glob_abserr := 10.0 ^ (glob_log10_abserr); > glob_relerr := 10.0 ^ (glob_log10_relerr); > chk_data(); > #AFTER INITS AFTER SECOND INPUT BLOCK > array_y2_set_initial[1,1] := true; > array_y2_set_initial[1,2] := true; > array_y2_set_initial[1,3] := true; > array_y2_set_initial[1,4] := true; > array_y2_set_initial[1,5] := true; > array_y2_set_initial[1,6] := false; > array_y2_set_initial[1,7] := false; > array_y2_set_initial[1,8] := false; > array_y2_set_initial[1,9] := false; > array_y2_set_initial[1,10] := false; > array_y2_set_initial[1,11] := false; > array_y2_set_initial[1,12] := false; > array_y2_set_initial[1,13] := false; > array_y2_set_initial[1,14] := false; > array_y2_set_initial[1,15] := false; > array_y2_set_initial[1,16] := false; > array_y2_set_initial[1,17] := false; > array_y2_set_initial[1,18] := false; > array_y2_set_initial[1,19] := false; > array_y2_set_initial[1,20] := false; > array_y2_set_initial[1,21] := false; > array_y2_set_initial[1,22] := false; > array_y2_set_initial[1,23] := false; > array_y2_set_initial[1,24] := false; > array_y2_set_initial[1,25] := false; > array_y2_set_initial[1,26] := false; > array_y2_set_initial[1,27] := false; > array_y2_set_initial[1,28] := false; > array_y2_set_initial[1,29] := false; > array_y2_set_initial[1,30] := false; > array_y1_set_initial[2,1] := true; > array_y1_set_initial[2,2] := false; > array_y1_set_initial[2,3] := false; > array_y1_set_initial[2,4] := false; > array_y1_set_initial[2,5] := false; > array_y1_set_initial[2,6] := false; > array_y1_set_initial[2,7] := false; > array_y1_set_initial[2,8] := false; > array_y1_set_initial[2,9] := false; > array_y1_set_initial[2,10] := false; > array_y1_set_initial[2,11] := false; > array_y1_set_initial[2,12] := false; > array_y1_set_initial[2,13] := false; > array_y1_set_initial[2,14] := false; > array_y1_set_initial[2,15] := false; > array_y1_set_initial[2,16] := false; > array_y1_set_initial[2,17] := false; > array_y1_set_initial[2,18] := false; > array_y1_set_initial[2,19] := false; > array_y1_set_initial[2,20] := false; > array_y1_set_initial[2,21] := false; > array_y1_set_initial[2,22] := false; > array_y1_set_initial[2,23] := false; > array_y1_set_initial[2,24] := false; > array_y1_set_initial[2,25] := false; > array_y1_set_initial[2,26] := false; > array_y1_set_initial[2,27] := false; > array_y1_set_initial[2,28] := false; > array_y1_set_initial[2,29] := false; > array_y1_set_initial[2,30] := false; > if glob_html_log then # if number 3 > html_log_file := fopen("html/entry.html",WRITE,TEXT); > fi;# end if 3 > ; > #BEGIN SOLUTION CODE > omniout_str(ALWAYS,"START of Soultion"); > #Start Series -- INITIALIZE FOR SOLUTION > array_x[1] := x_start; > array_x[2] := glob_h; > order_diff := 5; > #Start Series array_y2 > term_no := 1; > while (term_no <= order_diff) do # do number 2 > array_y2[term_no] := array_y2_init[term_no] * 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_y2_higher[r_order,term_no] := array_y2_init[it]* (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 := 1; > #Start Series array_y1 > term_no := 1; > while (term_no <= order_diff) do # do number 2 > array_y1[term_no] := array_y1_init[term_no] * 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_y1_higher[r_order,term_no] := array_y1_init[it]* (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(); > start_array_y2(); > if (abs(array_y2_higher[1,1]) > glob_small_float) then # if number 3 > tmp := abs(array_y2_higher[1,1]); > log10norm := (log10(tmp)); > if (log10norm < glob_log10normmin) then # if number 4 > glob_log10normmin := log10norm; > fi;# end if 4 > fi;# end if 3 > ; > display_alot(current_iter) > ; > start_array_y1(); > if (abs(array_y1_higher[1,1]) > glob_small_float) then # if number 3 > tmp := abs(array_y1_higher[1,1]); > log10norm := (log10(tmp)); > if (log10norm < glob_log10normmin) then # if number 4 > glob_log10normmin := log10norm; > fi;# end if 4 > fi;# end if 3 > ; > display_alot(current_iter) > ; > 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 (array_x[1] <= x_end ) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2 > #left paren 0001C > omniout_str(INFO," "); > omniout_str(INFO,"TOP MAIN SOLVE Loop"); > 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 3 > atomall(); > elif glob_subiter_method = 2 then # if number 4 > subiter := 1; > while subiter <= 6 do # do number 3 > atomall(); > subiter := subiter + 1; > od;# end do number 3 > ; > else > subiter := 1; > while subiter <= 6 + glob_max_terms do # do number 3 > atomall(); > subiter := subiter + 1; > od;# end do number 3 > ; > fi;# end if 4 > ; > if (glob_look_poles) then # if number 4 > #left paren 0004C > check_for_pole(); > fi;# end if 4 > ;#was right paren 0004C > array_x[1] := array_x[1] + glob_h; > array_x[2] := glob_h; > #Jump Series array_y2 > order_diff := 5; > #START PART 1 SUM AND ADJUST > #START SUM AND ADJUST EQ =1 > #sum_and_adjust array_y2 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 6; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[6,iii] := array_y2_higher[6,iii] / (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 := 6; > calc_term := 1; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 5; > calc_term := 2; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[5,iii] := array_y2_higher[5,iii] / (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 := 5; > calc_term := 2; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 5; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[5,iii] := array_y2_higher[5,iii] / (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 := 5; > calc_term := 1; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 4; > calc_term := 3; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[4,iii] := array_y2_higher[4,iii] / (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 := 4; > calc_term := 3; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 4; > calc_term := 2; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[4,iii] := array_y2_higher[4,iii] / (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 := 4; > calc_term := 2; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 4; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[4,iii] := array_y2_higher[4,iii] / (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 := 4; > calc_term := 1; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 3; > calc_term := 4; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[3,iii] := array_y2_higher[3,iii] / (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 := 4; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 3; > calc_term := 3; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[3,iii] := array_y2_higher[3,iii] / (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 := 3; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 3; > calc_term := 2; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[3,iii] := array_y2_higher[3,iii] / (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 := 2; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 3; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[3,iii] := array_y2_higher[3,iii] / (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_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 2; > calc_term := 5; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[2,iii] := array_y2_higher[2,iii] / (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 := 5; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 2; > calc_term := 4; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[2,iii] := array_y2_higher[2,iii] / (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 := 4; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 2; > calc_term := 3; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[2,iii] := array_y2_higher[2,iii] / (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 := 3; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 2; > calc_term := 2; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[2,iii] := array_y2_higher[2,iii] / (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_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 2; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[2,iii] := array_y2_higher[2,iii] / (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_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 6; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_higher[1,iii] / (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 := 6; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 5; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_higher[1,iii] / (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 := 5; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 4; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_higher[1,iii] / (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 := 4; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 3; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_higher[1,iii] / (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_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 2; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_higher[1,iii] / (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_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_higher[1,iii] / (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_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(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_y2[term_no] := array_y2_higher_work2[1,term_no]; > ord := 1; > while ord <= order_diff do # do number 4 > array_y2_higher[ord,term_no] := array_y2_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_y1 > order_diff := 1; > #START PART 1 SUM AND ADJUST > #START SUM AND ADJUST EQ =2 > #sum_and_adjust array_y1 > #BEFORE ADJUST SUBSERIES EQ =2 > ord := 2; > calc_term := 1; > #adjust_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y1_higher_work[2,iii] := array_y1_higher[2,iii] / (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_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y1_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y1_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =2 > #BEFORE ADJUST SUBSERIES EQ =2 > ord := 1; > calc_term := 2; > #adjust_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y1_higher_work[1,iii] := array_y1_higher[1,iii] / (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_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y1_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y1_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =2 > #BEFORE ADJUST SUBSERIES EQ =2 > ord := 1; > calc_term := 1; > #adjust_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y1_higher_work[1,iii] := array_y1_higher[1,iii] / (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_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y1_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y1_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(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_y1[term_no] := array_y1_higher_work2[1,term_no]; > ord := 1; > while ord <= order_diff do # do number 4 > array_y1_higher[ord,term_no] := array_y1_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 > display_alot(current_iter) > ; > od;# end do number 2 > ;#right paren 0001C > omniout_str(ALWAYS,"Finished!"); > if (glob_iter >= glob_max_iter) then # if number 4 > omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!") > fi;# end if 4 > ; > if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 4 > omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!") > fi;# end if 4 > ; > glob_clock_sec := elapsed_time_seconds(); > omniout_str(INFO,"diff ( y2 , x , 5 ) = y1 ;"); > omniout_str(INFO,"diff ( y1 , x , 1 ) = m1 * y2 + 1.0;"); > omniout_int(INFO,"Iterations ",32,glob_iter,4," ") > ; > prog_report(x_start,x_end); > if glob_html_log then # if number 4 > logstart(html_log_file); > logitem_str(html_log_file,"2012-06-13T16:34:46-05:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"mtest7") > ; > logitem_str(html_log_file,"diff ( y2 , x , 5 ) = y1 ;") > ; > logitem_float(html_log_file,x_start) > ; > logitem_float(html_log_file,x_end) > ; > logitem_float(html_log_file,array_x[1]) > ; > logitem_float(html_log_file,glob_h) > ; > logitem_integer(html_log_file,Digits) > ; > ; > 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 5 > 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 5 > ; > logitem_time(html_log_file,convfloat(glob_clock_sec)) > ; > if glob_percent_done < 100.0 then # if number 5 > logitem_time(html_log_file,convfloat(glob_optimal_expect_sec)) > ; > 0 > else > logitem_str(html_log_file,"Done") > ; > 0 > fi;# end if 5 > ; > log_revs(html_log_file," 090 ") > ; > logitem_str(html_log_file,"mtest7 diffeq.mxt") > ; > logitem_str(html_log_file,"mtest7 maple results") > ; > logitem_str(html_log_file,"Test of revised logic - mostly affecting systems of eqs") > ; > logend(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logitem_str(html_log_file,"diff ( y1 , x , 1 ) = m1 * y2 + 1.0;") > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > ; > 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 5 > 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 5 > ; > logditto(html_log_file) > ; > if glob_percent_done < 100.0 then # if number 5 > logditto(html_log_file) > ; > 0 > else > logditto(html_log_file) > ; > 0 > fi;# end if 5 > ; > logditto(html_log_file); > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logend(html_log_file) > ; > ; > fi;# end if 4 > ; > if glob_html_log then # if number 4 > fclose(html_log_file); > fi;# end if 4 > ; > ;; > #END OUTFILEMAIN > # End Function number 8 > end; Warning, `subiter` is implicitly declared local to procedure `mainprog` mainprog := proc() local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff, term_no, html_log_file, rows, r_order, sub_iter, calc_term, iii, temp_sum, current_iter, x_start, x_end, it, log10norm, max_terms, opt_iter, tmp, subiter; global INFO, DEBUGL, glob_iolevel, ALWAYS, glob_max_terms, DEBUGMASSIVE, MAX_UNCHANGED, glob_curr_iter_when_opt, hours_in_day, djd_debug, glob_log10normmin, glob_look_poles, glob_hmin, glob_reached_optimal_h, glob_initial_pass, glob_percent_done, glob_iter, glob_orig_start_sec, glob_max_iter, glob_last_good_h, glob_almost_1, glob_optimal_expect_sec, glob_current_iter, glob_warned, glob_smallish_float, glob_log10_abserr, glob_disp_incr, centuries_in_millinium, years_in_century, glob_dump, glob_no_eqs, glob_abserr, glob_large_float, glob_clock_start_sec, djd_debug2, glob_log10relerr, glob_warned2, glob_small_float, glob_max_rel_trunc_err, glob_max_hours, glob_relerr, glob_hmin_init, glob_optimal_done, glob_clock_sec, glob_subiter_method, glob_normmax, glob_hmax, min_in_hour, glob_html_log, glob_max_minutes, glob_log10abserr, glob_max_trunc_err, glob_optimal_start, glob_optimal_clock_start_sec, glob_h, glob_not_yet_start_msg, days_in_year, sec_in_min, glob_display_flag, glob_start, glob_max_sec, glob_log10_relerr, glob_not_yet_finished, glob_unchanged_h_cnt, glob_dump_analytic, glob_max_opt_iter, array_const_1D0, array_const_0D0, array_const_1, array_const_5, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_x, array_1st_rel_error, array_pole, array_y1_init, array_y2, array_y1, array_type_pole, array_y2_init, array_m1, array_norms, array_last_rel_error, array_y1_higher_work2, array_y1_higher_work, array_y2_set_initial, array_y2_higher_work2, array_poles, array_real_pole, array_y2_higher, array_y1_set_initial, array_complex_pole, array_y2_higher_work, array_y1_higher, glob_last; glob_last; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; glob_iolevel := INFO; INFO := 2; DEBUGL := 3; glob_iolevel := 5; ALWAYS := 1; glob_max_terms := 30; DEBUGMASSIVE := 4; MAX_UNCHANGED := 10; glob_curr_iter_when_opt := 0; hours_in_day := 24.0; djd_debug := true; glob_log10normmin := 0.1; glob_look_poles := false; glob_hmin := 0.1*10^(-10); glob_reached_optimal_h := false; glob_initial_pass := true; glob_percent_done := 0.; glob_iter := 0; glob_orig_start_sec := 0.; glob_max_iter := 1000; glob_last_good_h := 0.1; glob_almost_1 := 0.9990; glob_optimal_expect_sec := 0.1; glob_current_iter := 0; glob_warned := false; glob_smallish_float := 0.1*10^(-100); glob_log10_abserr := 0.1*10^(-10); glob_disp_incr := 0.1; centuries_in_millinium := 10.0; years_in_century := 100.0; glob_dump := false; glob_no_eqs := 0; glob_abserr := 0.1*10^(-10); glob_large_float := 0.90*10^101; glob_clock_start_sec := 0.; djd_debug2 := true; glob_log10relerr := 0.; glob_warned2 := false; glob_small_float := 0.1*10^(-50); glob_max_rel_trunc_err := 0.1*10^(-10); glob_max_hours := 0.; glob_relerr := 0.1*10^(-10); glob_hmin_init := 0.001; glob_optimal_done := false; glob_clock_sec := 0.; glob_subiter_method := 3; glob_normmax := 0.; glob_hmax := 1.0; min_in_hour := 60.0; glob_html_log := true; glob_max_minutes := 0.; glob_log10abserr := 0.; glob_max_trunc_err := 0.1*10^(-10); glob_optimal_start := 0.; glob_optimal_clock_start_sec := 0.; glob_h := 0.1; glob_not_yet_start_msg := true; days_in_year := 365.0; sec_in_min := 60.0; glob_display_flag := true; glob_start := 0; glob_max_sec := 10000.0; glob_log10_relerr := 0.1*10^(-10); glob_not_yet_finished := true; glob_unchanged_h_cnt := 0; glob_dump_analytic := false; glob_max_opt_iter := 10; 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/mtest7postode.ode#################"); omniout_str(ALWAYS, "diff ( y2 , x , 5 ) = y1 ;"); omniout_str(ALWAYS, "diff ( y1 , x , 1 ) = m1 * y2 + 1.0;"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK"); omniout_str(ALWAYS, "Digits := 32;"); 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, "x_start := 0.0;"); omniout_str(ALWAYS, "x_end := 5.0;"); omniout_str(ALWAYS, "array_y1_init[0 + 1] := exact_soln_y1(x_start);"); omniout_str(ALWAYS, "array_y2_init[0 + 1] := exact_soln_y2(x_start);"); omniout_str(ALWAYS, "array_y2_init[1 + 1] := exact_soln_y2p(x_start);") ; omniout_str(ALWAYS, "array_y2_init[2 + 1] := exact_soln_y2pp(x_start);") ; omniout_str(ALWAYS, "array_y2_init[3 + 1] := exact_soln_y2ppp(x_start);"); omniout_str(ALWAYS, "array_y2_init[4 + 1] := exact_soln_y2pppp(x_start);"); omniout_str(ALWAYS, "glob_h := 0.00001;"); omniout_str(ALWAYS, "glob_look_poles := true;"); omniout_str(ALWAYS, "glob_max_iter := 20;"); omniout_str(ALWAYS, "#END SECOND INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK"); omniout_str(ALWAYS, "glob_h := 0.0001 ;"); omniout_str(ALWAYS, "glob_look_poles := true;"); omniout_str(ALWAYS, "glob_max_iter := 1000;"); omniout_str(ALWAYS, "glob_max_minutes := 15;"); omniout_str(ALWAYS, "#END OVERRIDE BLOCK"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK"); omniout_str(ALWAYS, "exact_soln_y1 := proc(x)"); omniout_str(ALWAYS, "1.0 +\tcos(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y2 := proc(x)"); omniout_str(ALWAYS, "1.0 +\tsin(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y2p := proc(x)"); omniout_str(ALWAYS, "cos(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y2pp := proc(x)"); omniout_str(ALWAYS, "-sin(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y2ppp := proc(x)"); omniout_str(ALWAYS, "-cos(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y2pppp := proc(x)"); omniout_str(ALWAYS, "sin(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, ""); 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; glob_log10_abserr := -8.0; glob_log10_relerr := -8.0; glob_hmax := 0.01; Digits := 32; max_terms := 30; glob_max_terms := max_terms; glob_html_log := true; array_tmp0 := Array(1 .. max_terms + 1, []); array_tmp1 := Array(1 .. max_terms + 1, []); array_tmp2 := Array(1 .. max_terms + 1, []); array_tmp3 := Array(1 .. max_terms + 1, []); array_tmp4 := Array(1 .. max_terms + 1, []); array_x := Array(1 .. max_terms + 1, []); array_1st_rel_error := Array(1 .. max_terms + 1, []); array_pole := Array(1 .. max_terms + 1, []); array_y1_init := Array(1 .. max_terms + 1, []); array_y2 := Array(1 .. max_terms + 1, []); array_y1 := Array(1 .. max_terms + 1, []); array_type_pole := Array(1 .. max_terms + 1, []); array_y2_init := Array(1 .. max_terms + 1, []); array_m1 := Array(1 .. max_terms + 1, []); array_norms := Array(1 .. max_terms + 1, []); array_last_rel_error := Array(1 .. max_terms + 1, []); array_y1_higher_work2 := Array(1 .. 3, 1 .. max_terms + 1, []); array_y1_higher_work := Array(1 .. 3, 1 .. max_terms + 1, []); array_y2_set_initial := Array(1 .. 4, 1 .. max_terms + 1, []); array_y2_higher_work2 := Array(1 .. 7, 1 .. max_terms + 1, []); array_poles := Array(1 .. 3, 1 .. 4, []); array_real_pole := Array(1 .. 3, 1 .. 4, []); array_y2_higher := Array(1 .. 7, 1 .. max_terms + 1, []); array_y1_set_initial := Array(1 .. 4, 1 .. max_terms + 1, []); array_complex_pole := Array(1 .. 3, 1 .. 4, []); array_y2_higher_work := Array(1 .. 7, 1 .. max_terms + 1, []); array_y1_higher := Array(1 .. 3, 1 .. max_terms + 1, []); 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_x[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_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y1_init[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y1[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_y2_init[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_m1[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_last_rel_error[term] := 0.; term := term + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y1_higher_work2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y1_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_y2_set_initial[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 6 do term := 1; while term <= max_terms do array_y2_higher_work2[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 <= 6 do term := 1; while term <= max_terms do array_y2_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_y1_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_complex_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 6 do term := 1; while term <= max_terms do array_y2_higher_work[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y1_higher[ord, term] := 0.; term := term + 1 end do; ord := ord + 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_tmp3 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3[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_tmp1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp1[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_x := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1 end do; array_y1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_y1[term] := 0.; term := term + 1 end do; array_y2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_y2[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_1D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1D0[term] := 0.; term := term + 1 end do; array_const_1D0[1] := 1.0; 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_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_5 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_5[term] := 0.; term := term + 1 end do; array_const_5[1] := 5; 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; x_start := 0.; x_end := 5.0; array_y1_init[1] := exact_soln_y1(x_start); array_y2_init[1] := exact_soln_y2(x_start); array_y2_init[2] := exact_soln_y2p(x_start); array_y2_init[3] := exact_soln_y2pp(x_start); array_y2_init[4] := exact_soln_y2ppp(x_start); array_y2_init[5] := exact_soln_y2pppp(x_start); glob_h := 0.00001; glob_look_poles := true; glob_max_iter := 20; glob_h := 0.0001; glob_look_poles := true; glob_max_iter := 1000; glob_max_minutes := 15; 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); glob_abserr := 10.0^glob_log10_abserr; glob_relerr := 10.0^glob_log10_relerr; chk_data(); array_y2_set_initial[1, 1] := true; array_y2_set_initial[1, 2] := true; array_y2_set_initial[1, 3] := true; array_y2_set_initial[1, 4] := true; array_y2_set_initial[1, 5] := true; array_y2_set_initial[1, 6] := false; array_y2_set_initial[1, 7] := false; array_y2_set_initial[1, 8] := false; array_y2_set_initial[1, 9] := false; array_y2_set_initial[1, 10] := false; array_y2_set_initial[1, 11] := false; array_y2_set_initial[1, 12] := false; array_y2_set_initial[1, 13] := false; array_y2_set_initial[1, 14] := false; array_y2_set_initial[1, 15] := false; array_y2_set_initial[1, 16] := false; array_y2_set_initial[1, 17] := false; array_y2_set_initial[1, 18] := false; array_y2_set_initial[1, 19] := false; array_y2_set_initial[1, 20] := false; array_y2_set_initial[1, 21] := false; array_y2_set_initial[1, 22] := false; array_y2_set_initial[1, 23] := false; array_y2_set_initial[1, 24] := false; array_y2_set_initial[1, 25] := false; array_y2_set_initial[1, 26] := false; array_y2_set_initial[1, 27] := false; array_y2_set_initial[1, 28] := false; array_y2_set_initial[1, 29] := false; array_y2_set_initial[1, 30] := false; array_y1_set_initial[2, 1] := true; array_y1_set_initial[2, 2] := false; array_y1_set_initial[2, 3] := false; array_y1_set_initial[2, 4] := false; array_y1_set_initial[2, 5] := false; array_y1_set_initial[2, 6] := false; array_y1_set_initial[2, 7] := false; array_y1_set_initial[2, 8] := false; array_y1_set_initial[2, 9] := false; array_y1_set_initial[2, 10] := false; array_y1_set_initial[2, 11] := false; array_y1_set_initial[2, 12] := false; array_y1_set_initial[2, 13] := false; array_y1_set_initial[2, 14] := false; array_y1_set_initial[2, 15] := false; array_y1_set_initial[2, 16] := false; array_y1_set_initial[2, 17] := false; array_y1_set_initial[2, 18] := false; array_y1_set_initial[2, 19] := false; array_y1_set_initial[2, 20] := false; array_y1_set_initial[2, 21] := false; array_y1_set_initial[2, 22] := false; array_y1_set_initial[2, 23] := false; array_y1_set_initial[2, 24] := false; array_y1_set_initial[2, 25] := false; array_y1_set_initial[2, 26] := false; array_y1_set_initial[2, 27] := false; array_y1_set_initial[2, 28] := false; array_y1_set_initial[2, 29] := false; array_y1_set_initial[2, 30] := false; if glob_html_log then html_log_file := fopen("html/entry.html", WRITE, TEXT) end if; omniout_str(ALWAYS, "START of Soultion"); array_x[1] := x_start; array_x[2] := glob_h; order_diff := 5; term_no := 1; while term_no <= order_diff do array_y2[term_no] := array_y2_init[term_no]*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_y2_higher[r_order, term_no] := array_y2_init[it]* 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 := 1; term_no := 1; while term_no <= order_diff do array_y1[term_no] := array_y1_init[term_no]*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_y1_higher[r_order, term_no] := array_y1_init[it]* 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(); start_array_y2(); if glob_small_float < abs(array_y2_higher[1, 1]) then tmp := abs(array_y2_higher[1, 1]); log10norm := log10(tmp); if log10norm < glob_log10normmin then glob_log10normmin := log10norm end if end if; display_alot(current_iter); start_array_y1(); if glob_small_float < abs(array_y1_higher[1, 1]) then tmp := abs(array_y1_higher[1, 1]); log10norm := log10(tmp); if log10norm < glob_log10normmin then glob_log10normmin := log10norm end if end if; display_alot(current_iter); 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 array_x[1] <= x_end and convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < convfloat(glob_max_sec) do omniout_str(INFO, " "); omniout_str(INFO, "TOP MAIN SOLVE Loop"); 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 <= 6 do atomall(); subiter := subiter + 1 end do else subiter := 1; while subiter <= 6 + glob_max_terms do atomall(); subiter := subiter + 1 end do end if; if glob_look_poles then check_for_pole() end if; array_x[1] := array_x[1] + glob_h; array_x[2] := glob_h; order_diff := 5; ord := 6; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[6, iii] := array_y2_higher[6, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 6; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 5; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[5, iii] := array_y2_higher[5, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 5; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 5; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[5, iii] := array_y2_higher[5, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 5; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 4; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[4, iii] := array_y2_higher[4, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 4; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 4; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[4, iii] := array_y2_higher[4, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 4; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 4; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[4, iii] := array_y2_higher[4, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 4; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 3; calc_term := 4; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[3, iii] := array_y2_higher[3, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 3; calc_term := 4; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 3; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[3, iii] := array_y2_higher[3, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 3; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 3; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[3, iii] := array_y2_higher[3, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 3; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 3; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[3, iii] := array_y2_higher[3, iii]/( 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_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 2; calc_term := 5; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[2, iii] := array_y2_higher[2, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 2; calc_term := 5; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 2; calc_term := 4; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[2, iii] := array_y2_higher[2, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 2; calc_term := 4; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 2; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[2, iii] := array_y2_higher[2, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 2; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 2; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[2, iii] := array_y2_higher[2, iii]/( 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_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[2, iii] := array_y2_higher[2, iii]/( 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_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 1; calc_term := 6; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[1, iii] := array_y2_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 6; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 1; calc_term := 5; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[1, iii] := array_y2_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 5; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 1; calc_term := 4; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[1, iii] := array_y2_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 4; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 1; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[1, iii] := array_y2_higher[1, iii]/( 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_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[1, iii] := array_y2_higher[1, iii]/( 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_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[1, iii] := array_y2_higher[1, iii]/( 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_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; term_no := glob_max_terms; while 1 <= term_no do array_y2[term_no] := array_y2_higher_work2[1, term_no]; ord := 1; while ord <= order_diff do array_y2_higher[ord, term_no] := array_y2_higher_work2[ord, term_no]; ord := ord + 1 end do; term_no := term_no - 1 end do; order_diff := 1; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y1_higher_work[2, iii] := array_y1_higher[2, iii]/( 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_y1_higher_work[ord, iii]; iii := iii - 1 end do; array_y1_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y1_higher_work[1, iii] := array_y1_higher[1, iii]/( 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_y1_higher_work[ord, iii]; iii := iii - 1 end do; array_y1_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y1_higher_work[1, iii] := array_y1_higher[1, iii]/( 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_y1_higher_work[ord, iii]; iii := iii - 1 end do; array_y1_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; term_no := glob_max_terms; while 1 <= term_no do array_y1[term_no] := array_y1_higher_work2[1, term_no]; ord := 1; while ord <= order_diff do array_y1_higher[ord, term_no] := array_y1_higher_work2[ord, term_no]; ord := ord + 1 end do; term_no := term_no - 1 end do; display_alot(current_iter) 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 ( y2 , x , 5 ) = y1 ;"); omniout_str(INFO, "diff ( y1 , x , 1 ) = m1 * y2 + 1.0;"); omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "); prog_report(x_start, x_end); if glob_html_log then logstart(html_log_file); logitem_str(html_log_file, "2012-06-13T16:34:46-05:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "mtest7") ; logitem_str(html_log_file, "diff ( y2 , x , 5 ) = y1 ;"); logitem_float(html_log_file, x_start); logitem_float(html_log_file, x_end); logitem_float(html_log_file, array_x[1]); logitem_float(html_log_file, glob_h); logitem_integer(html_log_file, Digits); 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_optimal_expect_sec)) ; 0 else logitem_str(html_log_file, "Done"); 0 end if; log_revs(html_log_file, " 090 "); logitem_str(html_log_file, "mtest7 diffeq.mxt"); logitem_str(html_log_file, "mtest7 maple results"); logitem_str(html_log_file, "Test of revised logic - mostly affecting systems of eqs"); logend(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logitem_str(html_log_file, "diff ( y1 , x , 1 ) = m1 * y2 + 1.0;") ; logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); 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 proc > mainprog(); ##############ECHO OF PROBLEM################# ##############temp/mtest7postode.ode################# diff ( y2 , x , 5 ) = y1 ; diff ( y1 , x , 1 ) = m1 * y2 + 1.0; ! #BEGIN FIRST INPUT BLOCK Digits := 32; max_terms := 30; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start := 0.0; x_end := 5.0; array_y1_init[0 + 1] := exact_soln_y1(x_start); array_y2_init[0 + 1] := exact_soln_y2(x_start); array_y2_init[1 + 1] := exact_soln_y2p(x_start); array_y2_init[2 + 1] := exact_soln_y2pp(x_start); array_y2_init[3 + 1] := exact_soln_y2ppp(x_start); array_y2_init[4 + 1] := exact_soln_y2pppp(x_start); glob_h := 0.00001; glob_look_poles := true; glob_max_iter := 20; #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK glob_h := 0.0001 ; glob_look_poles := true; glob_max_iter := 1000; glob_max_minutes := 15; #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK exact_soln_y1 := proc(x) 1.0 + cos(x); end; exact_soln_y2 := proc(x) 1.0 + sin(x); end; exact_soln_y2p := proc(x) cos(x); end; exact_soln_y2pp := proc(x) -sin(x); end; exact_soln_y2ppp := proc(x) -cos(x); end; exact_soln_y2pppp := proc(x) sin(x); end; #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0 y2[1] (analytic) = 1 y2[1] (numeric) = 1 absolute error = 0 relative error = 0 % h = 0.0001 y1[1] (analytic) = 2 y1[1] (numeric) = 2 absolute error = 0 relative error = 0 % h = 0.0001 x[1] = 0 y2[1] (analytic) = 1 y2[1] (numeric) = 1 absolute error = 0 relative error = 0 % h = 0.0001 y1[1] (analytic) = 2 y1[1] (numeric) = 2 absolute error = 0 relative error = 0 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3.8MB, alloc=3.1MB, time=0.20 x[1] = 0.0001 y2[1] (analytic) = 1.0000999999998333333334166666666 y2[1] (numeric) = 1.0000999999998333333335 absolute error = 8.33333334e-23 relative error = 8.3325000899923895110631980367746e-21 % h = 0.0001 y1[1] (analytic) = 1.9999999950000000041666666652778 y1[1] (numeric) = 1.9999999950000000041666665666667 absolute error = 9.86111e-26 relative error = 4.9305550123263875205439791957706e-24 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0002 y2[1] (analytic) = 1.0001999999986666666693333333308 y2[1] (numeric) = 1.0001999999986666666719999999975 absolute error = 2.6666666667e-21 relative error = 2.6661334400155517342327311669123e-19 % h = 0.0001 y1[1] (analytic) = 1.9999999800000000666666665777778 y1[1] (numeric) = 1.9999999800000000666666662944445 absolute error = 2.833333e-25 relative error = 1.4166665141666650944444338685184e-23 % h = 0.0001 TOP MAIN SOLVE Loop memory used=7.6MB, alloc=4.3MB, time=0.39 NO POLE NO POLE x[1] = 0.0003 y2[1] (analytic) = 1.0002999999955000000202499999566 y2[1] (numeric) = 1.0002999999955000000404999999566 absolute error = 2.02500000000e-20 relative error = 2.0243926822044484324991763133255e-18 % h = 0.0001 y1[1] (analytic) = 1.9999999550000003374999989875 y1[1] (numeric) = 1.9999999550000003374999976833334 absolute error = 1.3041666e-24 relative error = 6.5208331467187447007811655599598e-23 % h = 0.0001 TOP MAIN SOLVE Loop memory used=11.4MB, alloc=4.4MB, time=0.60 NO POLE NO POLE x[1] = 0.0004 y2[1] (analytic) = 1.0003999999893333334186666663416 y2[1] (numeric) = 1.0003999999893333335039999996749 absolute error = 8.53333333333e-20 relative error = 8.5299213648750358128389781703723e-18 % h = 0.0001 y1[1] (analytic) = 1.9999999200000010666666609777778 y1[1] (numeric) = 1.9999999200000010666666549000001 absolute error = 6.0777777e-24 relative error = 3.0388889715555572414815134735808e-22 % h = 0.0001 TOP MAIN SOLVE Loop memory used=15.2MB, alloc=4.4MB, time=0.80 NO POLE NO POLE x[1] = 0.0005 y2[1] (analytic) = 1.0004999999791666669270833317832 y2[1] (numeric) = 1.0004999999791666671874999984499 absolute error = 2.604166666667e-19 relative error = 2.6028652341041742712303922838289e-17 % h = 0.0001 y1[1] (analytic) = 1.9999998750000026041666449652779 y1[1] (numeric) = 1.999999875000002604166622777778 absolute error = 2.21874999e-23 relative error = 1.1093750643359400764974851311606e-21 % h = 0.0001 TOP MAIN SOLVE Loop memory used=19.0MB, alloc=4.4MB, time=1.01 NO POLE NO POLE x[1] = 0.0006 y2[1] (analytic) = 1.0005999999640000006479999944457 y2[1] (numeric) = 1.0005999999640000012959999944457 absolute error = 6.480000000000e-19 relative error = 6.4761143316341596159727240608099e-17 % h = 0.0001 y1[1] (analytic) = 1.9999998200000053999999352000004 y1[1] (numeric) = 1.9999998200000053999998698166672 absolute error = 6.53833332e-23 relative error = 3.2691669542250170535008643285404e-21 % h = 0.0001 TOP MAIN SOLVE Loop memory used=22.8MB, alloc=4.4MB, time=1.20 NO POLE NO POLE x[1] = 0.0007 y2[1] (analytic) = 1.0006999999428333347339166503265 y2[1] (numeric) = 1.0006999999428333361344999836598 absolute error = 1.4005833333333e-18 relative error = 1.3996036108856906876473507043409e-16 % h = 0.0001 y1[1] (analytic) = 1.9999997550000100041665032652792 y1[1] (numeric) = 1.9999997550000100041663391833349 absolute error = 1.640819443e-22 relative error = 8.2040982200019909126615857799349e-21 % h = 0.0001 TOP MAIN SOLVE Loop memory used=26.7MB, alloc=4.4MB, time=1.41 NO POLE NO POLE x[1] = 0.0008 y2[1] (analytic) = 1.0007999999146666693973332917232 y2[1] (numeric) = 1.0007999999146666721279999583898 absolute error = 2.7306666666666e-18 relative error = 2.7284838797955941416453279035350e-16 % h = 0.0001 y1[1] (analytic) = 1.9999996800000170666663025777819 y1[1] (numeric) = 1.9999996800000170666659377111154 absolute error = 3.648666665e-22 relative error = 1.8243336243933643352916975997600e-20 % h = 0.0001 TOP MAIN SOLVE Loop memory used=30.5MB, alloc=4.4MB, time=1.61 NO POLE NO POLE x[1] = 0.0009 y2[1] (analytic) = 1.0008999998785000049207499050998 y2[1] (numeric) = 1.0008999998785000098414999050998 absolute error = 4.9207500000000e-18 relative error = 4.9163253078202952349966615837303e-16 % h = 0.0001 y1[1] (analytic) = 1.9999995950000273374992618875107 y1[1] (numeric) = 1.9999995950000273374985229000108 absolute error = 7.389874999e-22 relative error = 3.6949382477249446591154835205820e-20 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=34.3MB, alloc=4.4MB, time=1.82 x[1] = 0.001 y2[1] (analytic) = 1.000999999833333341666666468254 y2[1] (numeric) = 1.0009999998333333499999998015873 absolute error = 8.3333333333333e-18 relative error = 8.3250083263944069114458875295451e-16 % h = 0.0001 y1[1] (analytic) = 1.9999995000000416666652777778026 y1[1] (numeric) = 1.9999995000000416666638879166916 absolute error = 1.3898611110e-21 relative error = 6.9493072923266783044391452117439e-20 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0011 y2[1] (analytic) = 1.0010999997781666800875829466831 y2[1] (numeric) = 1.0010999997781666935084996133498 absolute error = 1.34209166666667e-17 relative error = 1.3406169882769588624917227827023e-15 % h = 0.0001 y1[1] (analytic) = 1.9999993950000610041642061653309 y1[1] (numeric) = 1.9999993950000610041617445944978 absolute error = 2.4615708331e-21 relative error = 1.2307857888626635894265526052009e-19 % h = 0.0001 TOP MAIN SOLVE Loop memory used=38.1MB, alloc=4.4MB, time=2.02 NO POLE NO POLE x[1] = 0.0012 y2[1] (analytic) = 1.0011999997120000207359992890514 y2[1] (numeric) = 1.0011999997120000414719992890515 absolute error = 2.07360000000001e-17 relative error = 2.0711146630008899121031003946817e-15 % h = 0.0001 y1[1] (analytic) = 1.9999992800000863999958528001066 y1[1] (numeric) = 1.9999992800000863999917044334402 absolute error = 4.1483666664e-21 relative error = 2.0741840799061791614765472126148e-19 % h = 0.0001 TOP MAIN SOLVE Loop memory used=41.9MB, alloc=4.5MB, time=2.22 NO POLE NO POLE x[1] = 0.0013 y2[1] (analytic) = 1.0012999996338333642744154216564 y2[1] (numeric) = 1.0012999996338333952154987549898 absolute error = 3.09410833333334e-17 relative error = 3.0900912158841788720717975224660e-15 % h = 0.0001 y1[1] (analytic) = 1.9999991550001190041599627654801 y1[1] (numeric) = 1.9999991550001190041532576002026 absolute error = 6.7051652775e-21 relative error = 3.3525840552165638432736259786367e-19 % h = 0.0001 TOP MAIN SOLVE Loop memory used=45.7MB, alloc=4.5MB, time=2.44 NO POLE NO POLE x[1] = 0.0014 y2[1] (analytic) = 1.0013999995426667114853312417956 y2[1] (numeric) = 1.0013999995426667563039979084623 absolute error = 4.48186666666667e-17 relative error = 4.4756008275549343364736079896743e-15 % h = 0.0001 y1[1] (analytic) = 1.9999990200001600666562089781438 y1[1] (numeric) = 1.9999990200001600666457499281441 absolute error = 1.04590499997e-20 relative error = 5.2295275623180869993674032176490e-19 % h = 0.0001 TOP MAIN SOLVE Loop memory used=49.5MB, alloc=4.5MB, time=2.64 NO POLE NO POLE x[1] = 0.0015 y2[1] (analytic) = 1.0014999994375000632812466099331 y2[1] (numeric) = 1.0014999994375001265624966099332 absolute error = 6.32812500000001e-17 relative error = 6.3186470330047414440472350729720e-15 % h = 0.0001 y1[1] (analytic) = 1.9999988750002109374841796881356 y1[1] (numeric) = 1.9999988750002109374683579173027 absolute error = 1.58217708329e-20 relative error = 7.9108898663247154560494314653770e-19 % h = 0.0001 TOP MAIN SOLVE Loop memory used=53.4MB, alloc=4.5MB, time=2.84 NO POLE NO POLE x[1] = 0.0016 y2[1] (analytic) = 1.0015999993173334207146613405665 y2[1] (numeric) = 1.0015999993173335080959946738999 absolute error = 8.73813333333334e-17 relative error = 8.7241746598333091774323464342129e-15 % h = 0.0001 y1[1] (analytic) = 1.999998720000273066643364978843 y1[1] (numeric) = 1.999998720000273066620061734399 absolute error = 2.33032444440e-20 relative error = 1.1651629679041403750795306708047e-18 % h = 0.0001 TOP MAIN SOLVE Loop memory used=57.2MB, alloc=4.5MB, time=3.05 NO POLE NO POLE x[1] = 0.0017 y2[1] (analytic) = 1.0016999991811667849880751916933 y2[1] (numeric) = 1.00169999918116690330949185836 absolute error = 1.183214166666667e-16 relative error = 1.1812061172345790182359418021288e-14 % h = 0.0001 y1[1] (analytic) = 1.9999985550003480041331422670079 y1[1] (numeric) = 1.9999985550003480040996162128417 absolute error = 3.35260541662e-20 relative error = 1.6763039194392901145409240284449e-18 % h = 0.0001 TOP MAIN SOLVE Loop memory used=61.0MB, alloc=4.5MB, time=3.25 NO POLE NO POLE x[1] = 0.0018 y2[1] (analytic) = 1.0017999990280001574639878527777 y2[1] (numeric) = 1.0017999990280003149279878527777 absolute error = 1.574640000000000e-16 relative error = 1.5718107421918544558862995765201e-14 % h = 0.0001 y1[1] (analytic) = 1.9999983800004373999527608027331 y1[1] (numeric) = 1.9999983800004373999055198527337 absolute error = 4.72409499994e-20 relative error = 2.3620494132295081357507073237365e-18 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=64.8MB, alloc=4.5MB, time=3.46 x[1] = 0.0019 y2[1] (analytic) = 1.0018999988568335396748989311172 y2[1] (numeric) = 1.0018999988568337460164822644505 absolute error = 2.063415833333333e-16 relative error = 2.0595027804049181590030883458369e-14 % h = 0.0001 y1[1] (analytic) = 1.99999819500054300410132516949 y1[1] (numeric) = 1.9999981950005430040359818208795 absolute error = 6.53433486105e-20 relative error = 3.2671703791453801352477700359052e-18 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.002 y2[1] (analytic) = 1.0019999986666669333333079365093 y2[1] (numeric) = 1.001999998666667199999974603176 absolute error = 2.666666666666667e-16 relative error = 2.6613439822506236859372959788106e-14 % h = 0.0001 y1[1] (analytic) = 1.999998000000666666577777784127 y1[1] (numeric) = 1.9999980000006666664888869507944 absolute error = 8.88908333326e-20 relative error = 4.4445461111746296594568032821926e-18 % h = 0.0001 TOP MAIN SOLVE Loop memory used=68.6MB, alloc=4.5MB, time=3.67 NO POLE NO POLE x[1] = 0.0021 y2[1] (analytic) = 1.0020999984565003403417142641184 y2[1] (numeric) = 1.0020999984565006806834642641184 absolute error = 3.403417500000000e-16 relative error = 3.3962853060993565652797062674565e-14 % h = 0.0001 y1[1] (analytic) = 1.9999977950008103373808803968807 y1[1] (numeric) = 1.9999977950008103372617587427149 absolute error = 1.191216541658e-19 relative error = 5.9560892748760123299119473028844e-18 % h = 0.0001 TOP MAIN SOLVE Loop memory used=72.4MB, alloc=4.5MB, time=3.87 NO POLE NO POLE x[1] = 0.0022 y2[1] (analytic) = 1.0021999982253337628026171754421 y2[1] (numeric) = 1.0021999982253341922719505087753 absolute error = 4.294693333333332e-16 relative error = 4.2852657562744446767894289890015e-14 % h = 0.0001 y1[1] (analytic) = 1.9999975800009760665091945913879 y1[1] (numeric) = 1.9999975800009760663517203636111 absolute error = 1.574742277768e-19 relative error = 7.8737209160384657688991353151169e-18 % h = 0.0001 TOP MAIN SOLVE Loop memory used=76.2MB, alloc=4.5MB, time=4.07 NO POLE NO POLE x[1] = 0.0023 y2[1] (analytic) = 1.0022999979721672030285157772778 y2[1] (numeric) = 1.0022999979721677393904324439444 absolute error = 5.363619166666666e-16 relative error = 5.3513111618459845164031384494473e-14 % h = 0.0001 y1[1] (analytic) = 1.9999973550011660039610612847001 y1[1] (numeric) = 1.9999973550011660037554536472013 absolute error = 2.056076374988e-19 relative error = 1.0280395470757016585234344386440e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=80.1MB, alloc=4.5MB, time=4.28 NO POLE NO POLE x[1] = 0.0024 y2[1] (analytic) = 1.0023999976960006635519089985901 y2[1] (numeric) = 1.00239999769600132710390899859 absolute error = 6.635519999999999e-16 relative error = 6.6196328963005075824085437547900e-14 % h = 0.0001 y1[1] (analytic) = 1.9999971200013823997345792273004 y1[1] (numeric) = 1.9999971200013823994691560939684 absolute error = 2.654231333320e-19 relative error = 1.3271175777083945965946293403904e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=83.9MB, alloc=4.5MB, time=4.49 NO POLE NO POLE x[1] = 0.0025 y2[1] (analytic) = 1.0024999973958341471352955651767 y2[1] (numeric) = 1.0024999973958349609373788985099 absolute error = 8.138020833333332e-16 relative error = 8.1177265381279184573429779477856e-14 % h = 0.0001 y1[1] (analytic) = 1.999996875001627603827582503122 y1[1] (numeric) = 1.999996875001627603488495871179 absolute error = 3.390866319430e-19 relative error = 1.6954358088320715512058610008034e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=87.7MB, alloc=4.5MB, time=4.70 NO POLE NO POLE x[1] = 0.0026 y2[1] (analytic) = 1.0025999970706676567811739720353 y2[1] (numeric) = 1.0025999970706686468958406387018 absolute error = 9.901146666666665e-16 relative error = 9.8754704723670457402825502015967e-14 % h = 0.0001 y1[1] (analytic) = 1.9999966200019040662376170295702 y1[1] (numeric) = 1.9999966200019040658085648129051 absolute error = 4.290522166651e-19 relative error = 2.1452647088208155441268610530344e-17 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=91.5MB, alloc=4.5MB, time=4.90 x[1] = 0.0027 y2[1] (analytic) = 1.0026999967195011957420424533305 y2[1] (numeric) = 1.0026999967195023914842924533303 absolute error = 1.1957422499999998e-15 relative error = 1.1925224433151174322788677526042e-13 % h = 0.0001 y1[1] (analytic) = 1.999996355002214336961916057547 y1[1] (numeric) = 1.9999963550022143364238294200487 absolute error = 5.380866374983e-19 relative error = 2.6904380908119417365096989123237e-17 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0028 y2[1] (analytic) = 1.0027999963413347675303989498603 y2[1] (numeric) = 1.0027999963413362017277322831934 absolute error = 1.4341973333333331e-15 relative error = 1.4301927987294872042680181966792e-13 % h = 0.0001 y1[1] (analytic) = 1.9999960800025610659973746714787 y1[1] (numeric) = 1.9999960800025610653280798603694 absolute error = 6.692948111093e-19 relative error = 3.3464806146442194238135512738309e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=95.3MB, alloc=4.5MB, time=5.10 NO POLE NO POLE x[1] = 0.0029 y2[1] (analytic) = 1.0028999959351683759287410739227 y2[1] (numeric) = 1.0028999959351700851911577405892 absolute error = 1.7092624166666665e-15 relative error = 1.7043198958963405228569955017006e-13 % h = 0.0001 y1[1] (analytic) = 1.9999957950029470033405232893468 y1[1] (numeric) = 1.9999957950029470025143769685155 absolute error = 8.261463208313e-19 relative error = 4.1307402890318710367935493275877e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=99.1MB, alloc=4.5MB, time=5.31 NO POLE NO POLE x[1] = 0.003 y2[1] (analytic) = 1.0029999955000020249995660714828 y2[1] (numeric) = 1.0029999955000040499995660714826 absolute error = 2.0249999999999998e-15 relative error = 2.0189431795466002189438070592242e-13 % h = 0.0001 y1[1] (analytic) = 1.9999955000033749989875001627232 y1[1] (numeric) = 1.9999955000033749979749972460588 absolute error = 1.0125029166644e-18 relative error = 5.0625259739968984830033703538339e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=102.9MB, alloc=4.5MB, time=5.52 NO POLE NO POLE x[1] = 0.0031 y2[1] (analytic) = 1.0030999950348357190953707815389 y2[1] (numeric) = 1.003099995034838104857954114872 absolute error = 2.3857625833333331e-15 relative error = 2.3783895874214217182138781136047e-13 % h = 0.0001 y1[1] (analytic) = 1.9999951950038480029340228768083 y1[1] (numeric) = 1.999995195003848001701375861533 absolute error = 1.2326470152753e-18 relative error = 6.1632498835724871810829010093894e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=106.8MB, alloc=4.5MB, time=5.72 NO POLE NO POLE x[1] = 0.0032 y2[1] (analytic) = 1.0031999945386694628686515925897 y2[1] (numeric) = 1.0031999945386722590713182592561 absolute error = 2.7962026666666664e-15 relative error = 2.7872833750886585047948773992425e-13 % h = 0.0001 y1[1] (analytic) = 1.9999948800043690651753588504741 y1[1] (numeric) = 1.9999948800043690636840476504768 absolute error = 1.4913111999973e-18 relative error = 7.4565750888024382029678320672934e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=110.6MB, alloc=4.5MB, time=5.93 NO POLE NO POLE x[1] = 0.0033 y2[1] (analytic) = 1.0032999940105032612819043961006 y2[1] (numeric) = 1.0032999940105065225646543961003 absolute error = 3.2612827499999997e-15 relative error = 3.2505559348840764188267976136501e-13 % h = 0.0001 y1[1] (analytic) = 1.9999945550049413357062948363116 y1[1] (numeric) = 1.9999945550049413339125861154813 absolute error = 1.7937087208303e-18 relative error = 8.9685680210557789716598618739910e-17 % h = 0.0001 TOP MAIN SOLVE Loop memory used=114.4MB, alloc=4.5MB, time=6.13 NO POLE NO POLE x[1] = 0.0034 y2[1] (analytic) = 1.0033999934493371196176245368708 y2[1] (numeric) = 1.0033999934493409059029578702038 absolute error = 3.7862853333333330e-15 relative error = 3.7734556089814317206750410782961e-13 % h = 0.0001 y1[1] (analytic) = 1.999994220005568064521105420683 y1[1] (numeric) = 1.9999942200055680623755404262418 absolute error = 2.1455649944412e-18 relative error = 1.0727855975679903017796865410566e-16 % h = 0.0001 TOP MAIN SOLVE Loop memory used=118.2MB, alloc=4.5MB, time=6.35 NO POLE NO POLE x[1] = 0.0035 y2[1] (analytic) = 1.0034999928541710434883067601998 y2[1] (numeric) = 1.0034999928541754203112234268661 absolute error = 4.3768229166666663e-15 relative error = 4.3615574965955258143128642451123e-13 % h = 0.0001 y1[1] (analytic) = 1.9999938750062526016135205237785 y1[1] (numeric) = 1.9999938750062525990603704196154 absolute error = 2.5531501041631e-18 relative error = 1.2765789616006289320885592975992e-16 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=122.0MB, alloc=4.5MB, time=6.55 x[1] = 0.0036 y2[1] (analytic) = 1.0035999922240050388464451557542 y2[1] (numeric) = 1.0035999922240100776944451557537 absolute error = 5.0388479999999995e-15 relative error = 5.0207732553223465867687301162054e-13 % h = 0.0001 y1[1] (analytic) = 1.9999935200069983969766918996799 y1[1] (numeric) = 1.9999935200069983939533795996838 absolute error = 3.0233122999961e-18 relative error = 1.5116610477745551875055433397859e-16 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0037 y2[1] (analytic) = 1.0036999915578391119945330980341 y2[1] (numeric) = 1.0036999915578448906576164313669 absolute error = 5.7786630833333328e-15 relative error = 5.7573608966204042837310584382446e-13 % h = 0.0001 y1[1] (analytic) = 1.9999931550078090006031586364283 y1[1] (numeric) = 1.9999931550078089970396461378214 absolute error = 3.5635124986069e-18 relative error = 1.7817623473781270100170112123683e-16 % h = 0.0001 TOP MAIN SOLVE Loop memory used=125.8MB, alloc=4.5MB, time=6.76 NO POLE NO POLE x[1] = 0.0038 y2[1] (analytic) = 1.0037999908546732695950631833404 y2[1] (numeric) = 1.0037999908546798725257298500065 absolute error = 6.6029306666666661e-15 relative error = 6.5779345754373650165393341439498e-13 % h = 0.0001 y1[1] (analytic) = 1.9999927800086880624848116560991 y1[1] (numeric) = 1.9999927800086880583029518727703 absolute error = 4.1818597833288e-18 relative error = 2.0909374399394750839400398841273e-16 % h = 0.0001 TOP MAIN SOLVE Loop memory used=129.7MB, alloc=4.5MB, time=6.96 NO POLE NO POLE x[1] = 0.0039 y2[1] (analytic) = 1.0038999901135075186805271631411 y2[1] (numeric) = 1.0038999901135150373637771631405 absolute error = 7.5186832499999994e-15 relative error = 7.4894743739860857530115573469562e-13 % h = 0.0001 y1[1] (analytic) = 1.999992395009639332612857214883 y1[1] (numeric) = 1.9999923950096393277257093107213 absolute error = 4.8871479041617e-18 relative error = 2.4435832437943572722164584177831e-16 % h = 0.0001 TOP MAIN SOLVE Loop memory used=133.5MB, alloc=4.5MB, time=7.17 NO POLE NO POLE x[1] = 0.004 y2[1] (analytic) = 1.0039999893333418666634158737383 y2[1] (numeric) = 1.003999989333350399996749207071 absolute error = 8.5333333333333327e-15 relative error = 8.4993360796741484285033196543085e-13 % h = 0.0001 y1[1] (analytic) = 1.9999920000106666609777794031743 y1[1] (numeric) = 1.9999920000106666552888866254019 absolute error = 5.6888927777724e-18 relative error = 2.8444577667020963750539888155551e-16 % h = 0.0001 TOP MAIN SOLVE Loop memory used=137.3MB, alloc=4.5MB, time=7.38 NO POLE NO POLE x[1] = 0.0041 y2[1] (analytic) = 1.0040999885131763213462191621347 y2[1] (numeric) = 1.0040999885131859760296358288007 absolute error = 9.6546834166666660e-15 relative error = 9.6152609571909901797596690867590e-13 % h = 0.0001 y1[1] (analytic) = 1.9999915950117739975693016456656 y1[1] (numeric) = 1.9999915950117739909719306581714 absolute error = 6.5973709874942e-18 relative error = 3.2986993565117263014270687631785e-16 % h = 0.0001 TOP MAIN SOLVE Loop memory used=141.1MB, alloc=4.5MB, time=7.59 NO POLE NO POLE x[1] = 0.0042 y2[1] (analytic) = 1.0041999876520108909314258080007 y2[1] (numeric) = 1.0041999876520217818674258079999 absolute error = 1.08909359999999992e-14 relative error = 1.0845385514756723182499591904629e-12 % h = 0.0001 y1[1] (analytic) = 1.9999911800129653923763472014509 y1[1] (numeric) = 1.9999911800129653847526879181238 absolute error = 7.6236592833271e-18 relative error = 3.8118464518816917557971265574465e-16 % h = 0.0001 TOP MAIN SOLVE Loop memory used=144.9MB, alloc=4.5MB, time=7.80 NO POLE NO POLE x[1] = 0.0043 y2[1] (analytic) = 1.0042999867488455840315234416408 y2[1] (numeric) = 1.0042999867488578347351067749733 absolute error = 1.22507035833333325e-14 relative error = 1.2198251264536735647873163310447e-12 % h = 0.0001 y1[1] (analytic) = 1.9999907550142449953869986641364 y1[1] (numeric) = 1.9999907550142449866073235821986 absolute error = 8.7796750819378e-18 relative error = 4.3898578330554665466033841377331e-16 % h = 0.0001 TOP MAIN SOLVE Loop memory used=148.7MB, alloc=4.5MB, time=8.00 NO POLE NO POLE x[1] = 0.0044 y2[1] (analytic) = 1.0043999858026804096789984578608 y2[1] (numeric) = 1.0043999858026941526976651245266 absolute error = 1.37430186666666658e-14 relative error = 1.3682814477226160721078041630669e-12 % h = 0.0001 y1[1] (analytic) = 1.9999903200156170565884564619595 y1[1] (numeric) = 1.9999903200156170465102384952999 absolute error = 1.00782179666596e-17 relative error = 5.0391333726959756330029774752740e-16 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0045 y2[1] (analytic) = 1.0044999848125153773363359256343 y2[1] (numeric) = 1.0044999848125307546800859256333 absolute error = 1.53773437499999990e-14 relative error = 1.5308455930808300692758023928823e-12 % h = 0.0001 y1[1] (analytic) = 1.9999898750170859259669963579171 y1[1] (numeric) = 1.9999898750170859144339841704246 absolute error = 1.15330121874925e-17 relative error = 5.7665352867818760357494173587131e-16 % h = 0.0001 TOP MAIN SOLVE Loop memory used=152.5MB, alloc=4.5MB, time=8.22 NO POLE NO POLE x[1] = 0.0046 y2[1] (analytic) = 1.0045999837773504969060194934696 y2[1] (numeric) = 1.0045999837773676604873528268018 absolute error = 1.71635813333333322e-14 relative error = 1.7084990653491088328909521570372e-12 % h = 0.0001 y1[1] (analytic) = 1.9999894200186560535079259499027 y1[1] (numeric) = 1.9999894200186560403491757887996 absolute error = 1.31587501611031e-17 relative error = 6.5794098855684717457776639838701e-16 % h = 0.0001 TOP MAIN SOLVE Loop memory used=156.4MB, alloc=4.5MB, time=8.42 NO POLE NO POLE x[1] = 0.0047 y2[1] (analytic) = 1.0046999826961857787405312903764 y2[1] (numeric) = 1.0046999826962048908244479570419 absolute error = 1.91120839166666655e-14 relative error = 1.9022677660825665107823179178635e-12 % h = 0.0001 y1[1] (analytic) = 1.9999889550203319891955401708534 y1[1] (numeric) = 1.9999889550203319742244032000286 absolute error = 1.49711369708248e-17 relative error = 7.4856098246165577759022508171977e-16 % h = 0.0001 TOP MAIN SOLVE Loop memory used=160.2MB, alloc=4.5MB, time=8.63 NO POLE NO POLE x[1] = 0.0048 y2[1] (analytic) = 1.0047999815680212336523518223331 y2[1] (numeric) = 1.0047999815680424673163518223318 absolute error = 2.12336639999999987e-14 relative error = 2.1132229687011154037192474481902e-12 % h = 0.0001 y1[1] (analytic) = 1.999988480022118383013075788907 y1[1] (numeric) = 1.9999884800221183660261399222495 absolute error = 1.69869358666575e-17 relative error = 8.4935168558919085079196893811784e-16 % h = 0.0001 TOP MAIN SOLVE Loop memory used=164.0MB, alloc=4.5MB, time=8.83 NO POLE NO POLE x[1] = 0.0049 y2[1] (analytic) = 1.0048999803918568729239598641532 y2[1] (numeric) = 1.004899980391880412528043197485 absolute error = 2.35396040833333318e-14 relative error = 2.3424822910389702610539566972553e-12 % h = 0.0001 y1[1] (analytic) = 1.9999879950240199849426649075699 y1[1] (numeric) = 1.9999879950240199657186501423018 absolute error = 1.92240147652681e-17 relative error = 9.6120650789392455035891173670958e-16 % h = 0.0001 TOP MAIN SOLVE Loop memory used=167.8MB, alloc=4.5MB, time=9.04 NO POLE NO POLE x[1] = 0.005 y2[1] (analytic) = 1.0049999791666927083178323466521 y2[1] (numeric) = 1.0049999791667187499844990133171 absolute error = 2.60416666666666650e-14 relative error = 2.5912106673135866563470252450608e-12 % h = 0.0001 y1[1] (analytic) = 1.9999875000260416449652874658951 y1[1] (numeric) = 1.9999875000260416232638937159054 absolute error = 2.17013937499897e-17 relative error = 1.0850764692132889949704984919429e-15 % h = 0.0001 TOP MAIN SOLVE Loop memory used=171.6MB, alloc=4.5MB, time=9.25 NO POLE NO POLE x[1] = 0.0051 y2[1] (analytic) = 1.0050999778915287520864442390147 y2[1] (numeric) = 1.0050999778915575041906942390128 absolute error = 2.87521042499999981e-14 relative error = 2.8606213195144403578286157982192e-12 % h = 0.0001 y1[1] (analytic) = 1.9999869950281883130607227386734 y1[1] (numeric) = 1.999986995028188288621429167851 absolute error = 2.44392935708224e-17 relative error = 1.2219726244008874933268027682964e-15 % h = 0.0001 TOP MAIN SOLVE Loop memory used=175.4MB, alloc=4.5MB, time=9.46 NO POLE NO POLE x[1] = 0.0052 y2[1] (analytic) = 1.0051999765653650169822684262613 y2[1] (numeric) = 1.0051999765653967006516017595926 absolute error = 3.16836693333333313e-14 relative error = 3.1519767282120545469717330248179e-12 % h = 0.0001 y1[1] (analytic) = 1.999986480030465039207499836635 y1[1] (numeric) = 1.9999864800304650117483146922021 absolute error = 2.74591851444329e-17 relative error = 1.3729685384680512738490647548033e-15 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=179.2MB, alloc=4.5MB, time=9.66 x[1] = 0.0053 y2[1] (analytic) = 1.0052999751872015162677755817155 y2[1] (numeric) = 1.00529997518723636589219224838 absolute error = 3.48496244166666645e-14 relative error = 3.4665896027876809805750171702298e-12 % h = 0.0001 y1[1] (analytic) = 1.9999859550328769733828472066644 y1[1] (numeric) = 1.9999859550328769425990071525099 absolute error = 3.07838400541545e-17 relative error = 1.5392028117341682382603592687184e-15 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0054 y2[1] (analytic) = 1.0053999737560382637254340343706 y2[1] (numeric) = 1.0053999737560765274774340343682 absolute error = 3.82637519999999976e-14 relative error = 3.8058238510840414589722457431803e-12 % h = 0.0001 y1[1] (analytic) = 1.9999854200354293655626411320282 y1[1] (numeric) = 1.9999854200354293311252590820411 absolute error = 3.44373820499871e-17 relative error = 1.7218816549861172614897819295252e-15 % h = 0.0001 TOP MAIN SOLVE Loop memory used=183.1MB, alloc=4.5MB, time=9.86 NO POLE NO POLE x[1] = 0.0055 y2[1] (analytic) = 1.0054999722708752736677096310567 y2[1] (numeric) = 1.0054999722709172140322929643874 absolute error = 4.19403645833333307e-14 relative error = 4.1710955484775353348413441945193e-12 % h = 0.0001 y1[1] (analytic) = 1.9999848750381275657213532326165 y1[1] (numeric) = 1.999984875038127527276013684019 absolute error = 3.84453395485975e-17 relative error = 1.9222815146471835619333606570829e-15 % h = 0.0001 TOP MAIN SOLVE Loop memory used=186.9MB, alloc=4.5MB, time=10.06 NO POLE NO POLE x[1] = 0.0056 y2[1] (analytic) = 1.0055999707307125609470655933077 y2[1] (numeric) = 1.0055999707307584552617322599715 absolute error = 4.58943146666666638e-14 relative error = 4.5638739063723185970612099519909e-12 % h = 0.0001 y1[1] (analytic) = 1.9999843200409770238319969651979 y1[1] (numeric) = 1.9999843200409769809972978318789 absolute error = 4.28346991333190e-17 relative error = 2.1417517479557726670486072340473e-15 % h = 0.0001 TOP MAIN SOLVE Loop memory used=190.7MB, alloc=4.5MB, time=10.27 NO POLE NO POLE x[1] = 0.0057 y2[1] (analytic) = 1.0056999691345501409659623688285 y2[1] (numeric) = 1.0056999691346002819707123688253 absolute error = 5.01410047499999968e-14 relative error = 4.9856822401166599138881035059122e-12 % h = 0.0001 y1[1] (analytic) = 1.9999837550439832898660731236897 y1[1] (numeric) = 1.9999837550439832422321130695382 absolute error = 4.76339600541515e-17 relative error = 2.3817173481543575015173420215803e-15 % h = 0.0001 TOP MAIN SOLVE Loop memory used=194.5MB, alloc=4.5MB, time=10.47 NO POLE NO POLE x[1] = 0.0058 y2[1] (analytic) = 1.0057999674813880296868574774616 y2[1] (numeric) = 1.0057999674814427260841908107915 absolute error = 5.46963973333333299e-14 relative error = 5.4380989363419786807292065613294e-12 % h = 0.0001 y1[1] (analytic) = 1.9999831800471520137935143394429 y1[1] (numeric) = 1.9999831800471519609203246116811 absolute error = 5.28731897277618e-17 relative error = 2.6436817196890251262450924101240e-15 % h = 0.0001 TOP MAIN SOLVE Loop memory used=198.3MB, alloc=4.5MB, time=10.68 NO POLE NO POLE x[1] = 0.0059 y2[1] (analytic) = 1.005899965770226243642205351555 y2[1] (numeric) = 1.0058999657702858206671220182179 absolute error = 5.95770249166666629e-14 relative error = 5.9227584197249696895804070831147e-12 % h = 0.0001 y1[1] (analytic) = 1.9999825950504889455826285815429 y1[1] (numeric) = 1.9999825950504888869985483440596 absolute error = 5.85840802374833e-17 relative error = 2.9292295034199716578047515000881e-15 % h = 0.0001 TOP MAIN SOLVE Loop memory used=202.1MB, alloc=4.5MB, time=10.88 NO POLE NO POLE x[1] = 0.006 y2[1] (analytic) = 1.0059999640000647999444571706286 y2[1] (numeric) = 1.0059999640001295999444571706244 absolute error = 6.47999999999999958e-14 relative error = 6.4413521191732191560400975293425e-12 % h = 0.0001 y1[1] (analytic) = 1.9999820000539999352000416571262 y1[1] (numeric) = 1.9999820000539998704000358238105 absolute error = 6.48000058333157e-17 relative error = 3.2400294518433709001152167772152e-15 % h = 0.0001 TOP MAIN SOLVE Loop memory used=206.0MB, alloc=4.5MB, time=11.09 NO POLE NO POLE x[1] = 0.0061 y2[1] (analytic) = 1.0060999621699037162960606902414 y2[1] (numeric) = 1.0060999621699740993211440235701 absolute error = 7.03830250833333287e-14 relative error = 6.9956294334347161335339919302886e-12 % h = 0.0001 y1[1] (analytic) = 1.9999813950576909326106387117147 y1[1] (numeric) = 1.9999813950576908610545572797888 absolute error = 7.15560814319259e-17 relative error = 3.5778373543250792221993674875799e-15 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0062 y2[1] (analytic) = 1.0061999602787430109994600649592 y2[1] (numeric) = 1.0061999602788193554021267316208 absolute error = 7.63444026666666616e-14 relative error = 7.5873986961316633343802585841497e-12 % h = 0.0001 y1[1] (analytic) = 1.9999807800615679877775047295666 y1[1] (numeric) = 1.9999807800615679088882826129193 absolute error = 7.88892221166473e-17 relative error = 3.9444990123464462158578716551545e-15 % h = 0.0001 TOP MAIN SOLVE Loop memory used=209.8MB, alloc=4.5MB, time=11.30 NO POLE NO POLE x[1] = 0.0063 y2[1] (analytic) = 1.0062999583255827029670956653213 y2[1] (numeric) = 1.0062999583256654060123456653158 absolute error = 8.27030452499999945e-14 relative error = 8.2185281402189910890330804026445e-12 % h = 0.0001 y1[1] (analytic) = 1.9999801550656372506618640340453 y1[1] (numeric) = 1.9999801550656371638236603965657 absolute error = 8.68382036374796e-17 relative error = 4.3419532647627526710127122780338e-15 % h = 0.0001 TOP MAIN SOLVE Loop memory used=213.6MB, alloc=4.5MB, time=11.51 NO POLE NO POLE x[1] = 0.0064 y2[1] (analytic) = 1.0063999563094228117314038887082 y2[1] (numeric) = 1.0063999563095122902167372220355 absolute error = 8.94784853333333273e-14 relative error = 8.8909468618679778172072063205117e-12 % h = 0.0001 y1[1] (analytic) = 1.9999795200699049712230187880081 y1[1] (numeric) = 1.9999795200699048757792948769183 absolute error = 9.54437239110898e-17 relative error = 4.7722350630747344079034766518640e-15 % h = 0.0001 TOP MAIN SOLVE Loop memory used=217.4MB, alloc=4.5MB, time=11.71 NO POLE NO POLE x[1] = 0.0065 y2[1] (analytic) = 1.0064999542292633574548169640085 y2[1] (numeric) = 1.0064999542293600483402336306686 absolute error = 9.66908854166666601e-14 relative error = 9.6066457837753802259314308182967e-12 % h = 0.0001 y1[1] (analytic) = 1.9999788750743774994182864942121 y1[1] (numeric) = 1.9999788750743773946698209734011 absolute error = 1.047484655208110e-16 relative error = 5.2374785967134525052019148063640e-15 % h = 0.0001 TOP MAIN SOLVE Loop memory used=221.2MB, alloc=4.5MB, time=11.92 NO POLE NO POLE x[1] = 0.0066 y2[1] (analytic) = 1.0065999520841043609397627499864 y2[1] (numeric) = 1.0065999520842087219877627499793 absolute error = 1.043610479999999929e-13 relative error = 1.0367678617898476022789246030280e-11 % h = 0.0001 y1[1] (analytic) = 1.9999782200790612852029364957421 y1[1] (numeric) = 1.9999782200790611704057772790987 absolute error = 1.147971592166434e-16 relative error = 5.7399204683391674689389688745672e-15 % h = 0.0001 TOP MAIN SOLVE Loop memory used=225.0MB, alloc=4.5MB, time=12.12 NO POLE NO POLE x[1] = 0.0067 y2[1] (analytic) = 1.0066999498729458436386645272492 y2[1] (numeric) = 1.0066999498730583540642478605748 absolute error = 1.125104255833333256e-13 relative error = 1.1176162827616421853820219271128e-11 % h = 0.0001 y1[1] (analytic) = 1.9999775550839628785301254764571 y1[1] (numeric) = 1.9999775550839627528934770612037 absolute error = 1.256366484152534e-16 relative error = 6.2819029191544568850228890170383e-15 % h = 0.0001 TOP MAIN SOLVE Loop memory used=228.8MB, alloc=4.5MB, time=12.32 NO POLE NO POLE x[1] = 0.0068 y2[1] (analytic) = 1.0067999475947878276639407837147 y2[1] (numeric) = 1.0067999475949089887946074503729 absolute error = 1.211611306666666582e-13 relative error = 1.2034280589318328808752929056974e-11 % h = 0.0001 y1[1] (analytic) = 1.9999768800890889293508319614595 y1[1] (numeric) = 1.999976880089088792034877261485 absolute error = 1.373159546999745e-16 relative error = 6.8658771042322131042482659277667e-15 % h = 0.0001 TOP MAIN SOLVE Loop memory used=232.7MB, alloc=4.6MB, time=12.53 NO POLE NO POLE x[1] = 0.0069 y2[1] (analytic) = 1.0068999452486303357980049934784 y2[1] (numeric) = 1.0068999452487606717437549934692 absolute error = 1.303359457499999908e-13 relative error = 1.2944279753418457539238669465442e-11 % h = 0.0001 y1[1] (analytic) = 1.999976195094446187613789817585 y1[1] (numeric) = 1.9999761950944460377274454967783 absolute error = 1.498863443208067e-16 relative error = 7.4944064178588145072421304081198e-15 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=236.5MB, alloc=4.6MB, time=12.73 x[1] = 0.007 y2[1] (analytic) = 1.0069999428334733915032653889815 y2[1] (numeric) = 1.0069999428336134498365987223049 absolute error = 1.400583333333333234e-13 relative error = 1.3908474804798934808485336287345e-11 % h = 0.0001 y1[1] (analytic) = 1.9999755001000415032654207539152 y1[1] (numeric) = 1.9999755001000413398640250594986 absolute error = 1.634013956944166e-16 relative error = 8.1701698688930459020033465887451e-15 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0071 y2[1] (analytic) = 1.007099940348317018932124726378 y2[1] (numeric) = 1.007099940348467371378041393034 absolute error = 1.503524459166666560e-13 relative error = 1.4929247822680393073506738244690e-11 % h = 0.0001 y1[1] (analytic) = 1.9999747951058818262497658223139 y1[1] (numeric) = 1.9999747951058816483326979181762 absolute error = 1.779170679041377e-16 relative error = 8.8959655061412156076471182416502e-15 % h = 0.0001 TOP MAIN SOLVE Loop memory used=240.3MB, alloc=4.6MB, time=12.93 NO POLE NO POLE x[1] = 0.0072 y2[1] (analytic) = 1.007199937792161242936980044003 y2[1] (numeric) = 1.0071999377923224860729800439914 absolute error = 1.612431359999999884e-13 relative error = 1.6009049439920934325309303940514e-11 % h = 0.0001 y1[1] (analytic) = 1.9999740801119742065084159179862 y1[1] (numeric) = 1.9999740801119740130166457180164 absolute error = 1.934917701999698e-16 relative error = 9.6747138937488937799391483663972e-15 % h = 0.0001 TOP MAIN SOLVE Loop memory used=244.1MB, alloc=4.6MB, time=13.14 NO POLE NO POLE x[1] = 0.0073 y2[1] (analytic) = 1.0072999351640060890802224138395 y2[1] (numeric) = 1.0072999351641788450463057471603 absolute error = 1.727559660833333208e-13 relative error = 1.7150399801743819314704685594827e-11 % h = 0.0001 y1[1] (analytic) = 1.9999733551183257939804412800631 y1[1] (numeric) = 1.9999733551183255837940087814835 absolute error = 2.101864324985796e-16 relative error = 1.0509461636609863538677569054610e-14 % h = 0.0001 TOP MAIN SOLVE Loop memory used=247.9MB, alloc=4.6MB, time=13.35 NO POLE NO POLE x[1] = 0.0074 y2[1] (analytic) = 1.0073999324628515836442366858868 y2[1] (numeric) = 1.00739993246303650086290335254 absolute error = 1.849172186666666532e-13 relative error = 1.8355889523894282717369567468105e-11 % h = 0.0001 y1[1] (analytic) = 1.9999726201249438386023199922106 y1[1] (numeric) = 1.9999726201249436105377431089101 absolute error = 2.280645768833005e-16 relative error = 1.1403384955792678457049734852635e-14 % h = 0.0001 TOP MAIN SOLVE Loop memory used=251.7MB, alloc=4.6MB, time=13.55 NO POLE NO POLE x[1] = 0.0075 y2[1] (analytic) = 1.0074999296876977536414012253283 y2[1] (numeric) = 1.0074999296878955075476512253138 absolute error = 1.977539062499999855e-13 relative error = 1.9628180650225874912961951940621e-11 % h = 0.0001 y1[1] (analytic) = 1.999971875131835690307865483265 y1[1] (numeric) = 1.9999718751318354431154753791326 absolute error = 2.471923901041324e-16 relative error = 1.2359793313985366977417219306128e-14 % h = 0.0001 TOP MAIN SOLVE Loop memory used=255.5MB, alloc=4.6MB, time=13.76 NO POLE NO POLE x[1] = 0.0076 y2[1] (analytic) = 1.0075999268375446268240876423992 y2[1] (numeric) = 1.0075999268377559206054209757169 absolute error = 2.112937813333333177e-13 relative error = 2.0970007609716730538963460406821e-11 % h = 0.0001 y1[1] (analytic) = 1.9999711201390087990281530278951 y1[1] (numeric) = 1.9999711201390085313893559501529 absolute error = 2.676387970777422e-16 relative error = 1.3382133090958826320747525708520e-14 % h = 0.0001 TOP MAIN SOLVE Loop memory used=259.4MB, alloc=4.6MB, time=13.97 NO POLE NO POLE x[1] = 0.0077 y2[1] (analytic) = 1.0076999239113922316946605148542 y2[1] (numeric) = 1.0076999239116177970410771815041 absolute error = 2.255653464166666499e-13 relative error = 2.2384178172916163744050448850895e-11 % h = 0.0001 y1[1] (analytic) = 1.999970355146470714691445247291 y1[1] (numeric) = 1.999970355146470425215909859828 absolute error = 2.894755353874630e-16 relative error = 1.4473991309049320457815375404080e-14 % h = 0.0001 TOP MAIN SOLVE Loop memory used=263.2MB, alloc=4.6MB, time=14.19 NO POLE NO POLE x[1] = 0.0078 y2[1] (analytic) = 1.0077999209082405975154771029362 y2[1] (numeric) = 1.0077999209084811953794771029182 absolute error = 2.405978639999999820e-13 relative error = 2.3873574407821989820171402200075e-11 % h = 0.0001 y1[1] (analytic) = 1.9999695801542290872231166098821 y1[1] (numeric) = 1.9999695801542287744458858265871 absolute error = 3.127772307832950e-16 relative error = 1.5639099408660753716669365150982e-14 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0079 y2[1] (analytic) = 1.0078999178270897543188870567438 y2[1] (numeric) = 1.0078999178273461756854703900578 absolute error = 2.564213665833333140e-13 relative error = 2.5441153635188972726428443788922e-11 % h = 0.0001 y1[1] (analytic) = 1.9999687951622916665455769320828 y1[1] (numeric) = 1.9999687951622913289241032501782 absolute error = 3.376214736819046e-16 relative error = 1.6881337073787073599204562992268e-14 % h = 0.0001 TOP MAIN SOLVE Loop memory used=267.0MB, alloc=4.6MB, time=14.39 NO POLE NO POLE x[1] = 0.008 y2[1] (analytic) = 1.0079999146669397329172321158996 y2[1] (numeric) = 1.0079999146672127995838987825456 absolute error = 2.730666666666666460e-13 relative error = 2.7089949383268797574105121669222e-11 % h = 0.0001 y1[1] (analytic) = 1.9999680001706663025781938790692 y1[1] (numeric) = 1.9999680001706659384892972124439 absolute error = 3.640888966666253e-16 relative error = 1.8204736107555518387850084816154e-14 % h = 0.0001 TOP MAIN SOLVE Loop memory used=270.8MB, alloc=4.6MB, time=14.61 NO POLE NO POLE x[1] = 0.0081 y2[1] (analytic) = 1.0080999114267905649128458014187 y2[1] (numeric) = 1.0080999114270811302795958013966 absolute error = 2.905653667499999779e-13 relative error = 2.8823072341981966966607236283276e-11 % h = 0.0001 y1[1] (analytic) = 1.9999671951793609452372144655848 y1[1] (numeric) = 1.9999671951793605529739614781278 absolute error = 3.922632529874570e-16 relative error = 1.9613484357791082121320130547420e-14 % h = 0.0001 TOP MAIN SOLVE Loop memory used=274.6MB, alloc=4.6MB, time=14.81 NO POLE NO POLE x[1] = 0.0082 y2[1] (analytic) = 1.0081999081056422827080530996768 y2[1] (numeric) = 1.0081999081059512325773864329865 absolute error = 3.089498693333333097e-13 relative error = 3.0643711316522019912618376007546e-11 % h = 0.0001 y1[1] (analytic) = 1.9999663801883836444356855567786 y1[1] (numeric) = 1.9999663801883832222041894957121 absolute error = 4.222314960610665e-16 relative error = 2.1111929692602886526241258889800e-14 % h = 0.0001 TOP MAIN SOLVE Loop memory used=278.4MB, alloc=4.6MB, time=15.02 NO POLE NO POLE x[1] = 0.0083 y2[1] (analytic) = 1.0082999047024949195151701383786 y2[1] (numeric) = 1.00829990470282317290208680502 absolute error = 3.282533869166666414e-13 relative error = 3.2555134180392471577721806775211e-11 % h = 0.0001 y1[1] (analytic) = 1.9999655551977425500833733690744 y1[1] (numeric) = 1.9999655551977420959995133982873 absolute error = 4.540838599707871e-16 relative error = 2.2704584025992911490977122221572e-14 % h = 0.0001 TOP MAIN SOLVE Loop memory used=282.2MB, alloc=4.6MB, time=15.23 NO POLE NO POLE x[1] = 0.0084 y2[1] (analytic) = 1.0083999012163485093665038544264 y2[1] (numeric) = 1.0083999012166970193185038543994 absolute error = 3.485099519999999730e-13 relative error = 3.4560688827876872024216170004293e-11 % h = 0.0001 y1[1] (analytic) = 1.9999647202074459120866819710734 y1[1] (numeric) = 1.9999647202074454241727410044546 absolute error = 4.879139409666188e-16 relative error = 2.4396127393487722674165498329405e-14 % h = 0.0001 TOP MAIN SOLVE Loop memory used=286.1MB, alloc=4.6MB, time=15.44 NO POLE NO POLE x[1] = 0.0085 y2[1] (analytic) = 1.0084998976462030871243516535888 y2[1] (numeric) = 1.0084998976465728415514349868933 absolute error = 3.697544270833333045e-13 relative error = 3.6663804125942381765154995796006e-11 % h = 0.0001 y1[1] (analytic) = 1.9999638752175020803485707844898 y1[1] (numeric) = 1.9999638752175015565297908192617 absolute error = 5.238187799652281e-16 relative error = 2.6191412077793716841917048987247e-14 % h = 0.0001 TOP MAIN SOLVE Loop memory used=289.9MB, alloc=4.6MB, time=15.65 NO POLE NO POLE x[1] = 0.0086 y2[1] (analytic) = 1.008599893991058688491001061869 y2[1] (numeric) = 1.008599893991450711005667728505 absolute error = 3.920225146666666360e-13 relative error = 3.8867990865577261714503066931100e-11 % h = 0.0001 y1[1] (analytic) = 1.9999630202279195047684710851221 y1[1] (numeric) = 1.9999630202279189428695250351735 absolute error = 5.618989460499486e-16 relative error = 2.8095466784476522533023176717412e-14 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=293.7MB, alloc=4.6MB, time=15.85 x[1] = 0.0087 y2[1] (analytic) = 1.0086998902499153500187293684742 y2[1] (numeric) = 1.0086998902503307007859793684415 absolute error = 4.153507672499999673e-13 relative error = 4.1176842712562674782113571436123e-11 % h = 0.0001 y1[1] (analytic) = 1.9999621552387067352422015038579 y1[1] (numeric) = 1.9999621552387061329835805330778 absolute error = 6.022586209707801e-16 relative error = 3.0113500867665025652031140287421e-14 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0088 y2[1] (analytic) = 1.0087998864217731091198032602839 y2[1] (numeric) = 1.0087998864222128857171365935824 absolute error = 4.397765973333332985e-13 relative error = 4.3594037157679196306849517594624e-11 % h = 0.0001 y1[1] (analytic) = 1.9999612802498724216618825277167 y1[1] (numeric) = 1.9999612802498717766561978833273 absolute error = 6.450056846443894e-16 relative error = 3.2250908605780771598676905933017e-14 % h = 0.0001 TOP MAIN SOLVE Loop memory used=297.5MB, alloc=4.6MB, time=16.06 NO POLE NO POLE x[1] = 0.0089 y2[1] (analytic) = 1.0088998825056320040764784477192 y2[1] (numeric) = 1.0088998825060973423638951143488 absolute error = 4.653382874166666296e-13 relative error = 4.6123336466348429910735705334739e-11 % h = 0.0001 y1[1] (analytic) = 1.9999603952614253139158500009278 y1[1] (numeric) = 1.9999603952614246236640483468181 absolute error = 6.902518016541097e-16 relative error = 3.4513273527293187540278157764480e-14 % h = 0.0001 TOP MAIN SOLVE Loop memory used=301.3MB, alloc=4.6MB, time=16.26 NO POLE NO POLE x[1] = 0.009 y2[1] (analytic) = 1.0089998785004920740509992819119 y2[1] (numeric) = 1.0089998785009841490509992818725 absolute error = 4.920749999999999606e-13 relative error = 4.8768588627710125440845080505987e-11 % h = 0.0001 y1[1] (analytic) = 1.9999595002733742618885676260481 y1[1] (numeric) = 1.9999595002733735237760588761069 absolute error = 7.381125087499412e-16 relative error = 3.6906372786501360442801902618781e-14 % h = 0.0001 TOP MAIN SOLVE Loop memory used=305.1MB, alloc=4.6MB, time=16.47 NO POLE NO POLE x[1] = 0.0091 y2[1] (analytic) = 1.0090998744053533590955983630738 y2[1] (numeric) = 1.0090998744058733858831816963651 absolute error = 5.200267875833332913e-13 relative error = 5.1533728303135195174550421493766e-11 % h = 0.0001 y1[1] (analytic) = 1.9999585952857282154605384651164 y1[1] (numeric) = 1.9999585952857274267532351165661 absolute error = 7.887073033485503e-16 relative error = 3.9436181589342853475373736381911e-14 % h = 0.0001 TOP MAIN SOLVE Loop memory used=308.9MB, alloc=4.6MB, time=16.67 NO POLE NO POLE x[1] = 0.0092 y2[1] (analytic) = 1.0091998702192159001624961399656 y2[1] (numeric) = 1.0091998702197651347651628065876 absolute error = 5.492346026666666220e-13 relative error = 5.4422777774175024399171527790927e-11 % h = 0.0001 y1[1] (analytic) = 1.9999576802984962245082154408494 y1[1] (numeric) = 1.9999576802984953823484824075789 absolute error = 8.421597330332705e-16 relative error = 4.2108877669230335412625552189053e-14 % h = 0.0001 TOP MAIN SOLVE Loop memory used=312.8MB, alloc=4.6MB, time=16.88 NO POLE NO POLE x[1] = 0.0093 y2[1] (analytic) = 1.0092998659410797391139005003671 y2[1] (numeric) = 1.0092998659416594794216505003196 absolute error = 5.797403077499999525e-13 relative error = 5.7439847889947471837803233099110e-11 % h = 0.0001 y1[1] (analytic) = 1.9999567553116874389039108378768 y1[1] (numeric) = 1.999956755311686540306424783775 absolute error = 8.985974860541018e-16 relative error = 4.4930845812916489657190389371959e-14 % h = 0.0001 TOP MAIN SOLVE Loop memory used=316.6MB, alloc=4.6MB, time=17.09 NO POLE NO POLE x[1] = 0.0094 y2[1] (analytic) = 1.0093998615699449187320063524461 y2[1] (numeric) = 1.0093998615705565054173396857289 absolute error = 6.115866853333332828e-13 relative error = 6.0589139013959955725262733646664e-11 % h = 0.0001 y1[1] (analytic) = 1.9999558203253111085157048040181 y1[1] (numeric) = 1.9999558203253101503632219763073 absolute error = 9.581524828277108e-16 relative error = 4.7908682436387946514284380499451e-14 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=320.4MB, alloc=4.6MB, time=17.31 x[1] = 0.0095 y2[1] (analytic) = 1.0094998571048114827289951969284 y2[1] (numeric) = 1.0094998571054563001769118635415 absolute error = 6.448174479166666131e-13 relative error = 6.3874941970370020501010325712645e-11 % h = 0.0001 y1[1] (analytic) = 1.9999548753393765832073528516022 y1[1] (numeric) = 1.9999548753393755622463844141714 absolute error = 1.0209609684374308e-15 relative error = 5.1049200210788844351797889956717e-14 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0096 y2[1] (analytic) = 1.0095998525446794757570346899679 y2[1] (numeric) = 1.009599852545358953005034689911 absolute error = 6.794772479999999431e-13 relative error = 6.7301638989683779061716654647213e-11 % h = 0.0001 y1[1] (analytic) = 1.9999539203538933128381923588301 y1[1] (numeric) = 1.9999539203538922256745862255681 absolute error = 1.0871636061332620e-15 relative error = 5.4359432738374672284555284442083e-14 % h = 0.0001 TOP MAIN SOLVE Loop memory used=324.2MB, alloc=4.6MB, time=17.52 NO POLE NO POLE x[1] = 0.0097 y2[1] (analytic) = 1.0096998478885489434182781966159 y2[1] (numeric) = 1.009699847889264555106361529889 absolute error = 7.156116880833332731e-13 relative error = 7.0873704653892625501848373960108e-11 % h = 0.0001 y1[1] (analytic) = 1.9999529553688708472630480711808 y1[1] (numeric) = 1.9999529553688696903574762393099 absolute error = 1.1569055718318709e-15 relative error = 5.7846639278497004024787620242754e-14 % h = 0.0001 TOP MAIN SOLVE Loop memory used=328.0MB, alloc=4.6MB, time=17.74 NO POLE NO POLE x[1] = 0.0098 y2[1] (analytic) = 1.0097998431354199322748643347922 y2[1] (numeric) = 1.009799843136173199605531001395 absolute error = 7.532673306666666028e-13 relative error = 7.4595706841048612355141317611547e-11 % h = 0.0001 y1[1] (analytic) = 1.9999519803843188363321366028639 y1[1] (numeric) = 1.9999519803843176059954869862731 absolute error = 1.2303366496165908e-15 relative error = 6.1518309523619879548689069547701e-14 % h = 0.0001 TOP MAIN SOLVE Loop memory used=331.8MB, alloc=4.6MB, time=17.96 NO POLE NO POLE x[1] = 0.0099 y2[1] (analytic) = 1.0098998382842924898589165096544 y2[1] (numeric) = 1.0098998382850849815671665095867 absolute error = 7.924917082499999323e-13 relative error = 7.8472307669278886940197484999298e-11 % h = 0.0001 y1[1] (analytic) = 1.9999509954002470298909699383174 y1[1] (numeric) = 1.9999509954002457222796417008956 absolute error = 1.3076113282374218e-15 relative error = 6.5382168425368423229747753795773e-14 % h = 0.0001 TOP MAIN SOLVE Loop memory used=335.7MB, alloc=4.6MB, time=18.19 NO POLE NO POLE x[1] = 0.01 y2[1] (analytic) = 1.0099998333341666646825424382691 y2[1] (numeric) = 1.0099998333349999980158757715307 absolute error = 8.333333333333332616e-13 relative error = 8.2508264440239580339871125591238e-11 % h = 0.0001 y1[1] (analytic) = 1.9999500004166652777802579337522 y1[1] (numeric) = 1.9999500004166638888913593227217 absolute error = 1.3888888986110305e-15 relative error = 6.9446181070610384096320425011773e-14 % h = 0.0001 TOP MAIN SOLVE Loop memory used=339.5MB, alloc=4.6MB, time=18.41 NO POLE NO POLE x[1] = 0.0101 y2[1] (analytic) = 1.010099828284042506247833664482 y2[1] (numeric) = 1.0100998282849183479562503310727 absolute error = 8.758417084166665907e-13 relative error = 8.6708430582009542857450821027397e-11 % h = 0.0001 y1[1] (analytic) = 1.9999489954335835298358098187457 y1[1] (numeric) = 1.9999489954335820555022574979954 absolute error = 1.4743335523207503e-15 relative error = 7.3718557607571325876790539418208e-14 % h = 0.0001 TOP MAIN SOLVE Loop memory used=343.3MB, alloc=4.6MB, time=18.62 NO POLE NO POLE x[1] = 0.0102 y2[1] (analytic) = 1.0101998231329200650568650638888 y2[1] (numeric) = 1.0101998231338401323928650638084 absolute error = 9.200673359999999196e-13 relative error = 9.1077756591424319254344750162079e-11 % h = 0.0001 y1[1] (analytic) = 1.9999479804510118358884346978834 y1[1] (numeric) = 1.9999479804510102717739535813022 absolute error = 1.5641144811165812e-15 relative error = 7.8207758221984101498272033552769e-14 % h = 0.0001 TOP MAIN SOLVE Loop memory used=347.1MB, alloc=4.6MB, time=18.83 NO POLE NO POLE x[1] = 0.0103 y2[1] (analytic) = 1.0102998178797993926216943388063 y2[1] (numeric) = 1.0102998178807654543502776720546 absolute error = 9.660617285833332483e-13 relative error = 9.5621290975850756892440575522993e-11 % h = 0.0001 y1[1] (analytic) = 1.9999469554689603457638410524508 y1[1] (numeric) = 1.9999469554689586873578636372611 absolute error = 1.6584059774151897e-15 relative error = 8.2922498163273338712000919284099e-14 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=350.9MB, alloc=4.6MB, time=19.04 x[1] = 0.0104 y2[1] (analytic) = 1.0103998125236805414743615031432 y2[1] (numeric) = 1.01039981252469441889302816972 absolute error = 1.0138774186666665768e-12 relative error = 1.0034418119440263963381832347538e-10 % h = 0.0001 y1[1] (analytic) = 1.9999459204874393092825352421768 y1[1] (numeric) = 1.9999459204874375518949994422675 absolute error = 1.7573875357999093e-15 relative error = 8.7871752820775665523793484270489e-14 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0105 y2[1] (analytic) = 1.0104998070635635651768883570717 y2[1] (numeric) = 1.0104998070646271331456383569767 absolute error = 1.0635679687499999050e-12 relative error = 1.0525167459859774008019715321011e-10 % h = 0.0001 y1[1] (analytic) = 1.9999448755064590762597190070285 y1[1] (numeric) = 1.9999448755064572150157634862885 absolute error = 1.8612439555207400e-15 relative error = 9.3064762849996306110517699347643e-14 % h = 0.0001 TOP MAIN SOLVE Loop memory used=354.7MB, alloc=4.6MB, time=19.25 NO POLE NO POLE x[1] = 0.0106 y2[1] (analytic) = 1.0105998014984485183312779513984 y2[1] (numeric) = 1.0105998014995637063126112846314 absolute error = 1.1151879813333332330e-12 relative error = 1.1034911937245668253366066749065e-10 % h = 0.0001 y1[1] (analytic) = 1.9999438205260300965051859690593 y1[1] (numeric) = 1.9999438205260281263397419747108 absolute error = 1.9701654439943485e-15 relative error = 9.8511039348902849913289295040760e-14 % h = 0.0001 TOP MAIN SOLVE Loop memory used=358.5MB, alloc=4.6MB, time=19.46 NO POLE NO POLE x[1] = 0.0107 y2[1] (analytic) = 1.0106997958273354565895140415367 y2[1] (numeric) = 1.0106997958285042496984307080974 absolute error = 1.1687931089166665607e-12 relative error = 1.1564196547204400864183182348580e-10 % h = 0.0001 y1[1] (analytic) = 1.9999427555461629198232171343108 y1[1] (numeric) = 1.9999427555461608354754958302428 absolute error = 2.0843477213040680e-15 relative error = 1.0422036908425686360002285208212e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=362.4MB, alloc=4.6MB, time=19.66 NO POLE NO POLE x[1] = 0.0108 y2[1] (analytic) = 1.0107997900492244366635605309779 y2[1] (numeric) = 1.010799790050448876727560530866 absolute error = 1.2244400639999998881e-12 relative error = 1.2113576556445183767824162658637e-10 % h = 0.0001 y1[1] (analytic) = 1.9999416805668681960124753947705 y1[1] (numeric) = 1.999941680566865992020349694872 absolute error = 2.2039921256998985e-15 relative error = 1.1020281976798412259833240646528e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=366.2MB, alloc=4.6MB, time=19.88 NO POLE NO POLE x[1] = 0.0109 y2[1] (analytic) = 1.0108997841631155163353609041637 y2[1] (numeric) = 1.010899784164397702964444237379 absolute error = 1.2821866290833332153e-12 relative error = 1.2683617596622651291145816400814e-10 % h = 0.0001 y1[1] (analytic) = 1.9999405955881566748658990303851 y1[1] (numeric) = 1.9999405955881543455601789318784 absolute error = 2.3293057200985067e-15 relative error = 1.1646874538358415590308476885891e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=370.0MB, alloc=4.6MB, time=20.09 NO POLE NO POLE x[1] = 0.011 y2[1] (analytic) = 1.0109997781680087544668376486582 y2[1] (numeric) = 1.0109997781693508461335043152004 absolute error = 1.3420916666666665422e-12 relative error = 1.3274895758123862535606316775888e-10 % h = 0.0001 y1[1] (analytic) = 1.9999395006100392061705942111311 y1[1] (numeric) = 1.9999395006100367456691946279051 absolute error = 2.4605013995832260e-15 relative error = 1.2302879156257987487073297676217e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=373.8MB, alloc=4.6MB, time=20.32 NO POLE NO POLE x[1] = 0.0111 y2[1] (analytic) = 1.0110997720629042110098916665206 y2[1] (numeric) = 1.0110997720643084261391416663893 absolute error = 1.4042151292499998687e-12 relative error = 1.3887997683799680601840129945121e-10 % h = 0.0001 y1[1] (analytic) = 1.9999383956325267397077264991439 y1[1] (numeric) = 1.9999383956325241419097265950875 absolute error = 2.5977979999040564e-15 relative error = 1.2989390101100802871759904017932e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=377.6MB, alloc=4.6MB, time=20.55 NO POLE NO POLE x[1] = 0.0112 y2[1] (analytic) = 1.0111997658468019470164016747774 y2[1] (numeric) = 1.0111997658482705650857350079723 absolute error = 1.4686180693333331949e-12 relative error = 1.4523520662640567736230661621290e-10 % h = 0.0001 y1[1] (analytic) = 1.9999372806556303252524113509061 y1[1] (numeric) = 1.9999372806556275838320043732417 absolute error = 2.7414204069776644e-15 relative error = 1.3707531898595125144582671319537e-13 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0113 y2[1] (analytic) = 1.0112997595187020246482235948957 y2[1] (numeric) = 1.0112997595202373872976402614165 absolute error = 1.5353626494166665208e-12 relative error = 1.5182072723396835446113748693356e-10 % h = 0.0001 y1[1] (analytic) = 1.999936155679361112573603619497 y1[1] (numeric) = 1.9999361556793582209739362321134 absolute error = 2.8915996673873836e-15 relative error = 1.4458459882211250192794355042461e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=381.4MB, alloc=4.6MB, time=20.76 NO POLE NO POLE x[1] = 0.0114 y2[1] (analytic) = 1.0113997530776045071871899311563 y2[1] (numeric) = 1.0113997530792090193391899310026 absolute error = 1.6045121519999998463e-12 relative error = 1.5864272728143388617229823647410e-10 % h = 0.0001 y1[1] (analytic) = 1.9999350207037303514339860569021 y1[1] (numeric) = 1.9999350207037273028608861736884 absolute error = 3.0485730998832137e-15 relative error = 1.5243360750843255588261085689022e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=385.2MB, alloc=4.6MB, time=20.98 NO POLE NO POLE x[1] = 0.0115 y2[1] (analytic) = 1.0114997465225094590451091378267 y2[1] (numeric) = 1.0114997465241855900346924709981 absolute error = 1.6761309895833331714e-12 relative error = 1.6570750465789002632284494869070e-10 % h = 0.0001 y1[1] (analytic) = 1.9999338757287493915898568163876 y1[1] (numeric) = 1.9999338757287461790054489345659 absolute error = 3.2125844078818217e-15 relative error = 1.6063453131475152049017271977716e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=389.1MB, alloc=4.6MB, time=21.20 NO POLE NO POLE x[1] = 0.0116 y2[1] (analytic) = 1.011599739852416945773764975035 y2[1] (numeric) = 1.0115997398541672304884316415311 absolute error = 1.7502847146666664961e-12 relative error = 1.7302146745530172459688310419762e-10 % h = 0.0001 y1[1] (analytic) = 1.9999327207544296827910159549365 y1[1] (numeric) = 1.9999327207544262989072229883958 absolute error = 3.3838837929665407e-15 relative error = 1.6919988146851492938994006908049e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=392.9MB, alloc=4.6MB, time=21.42 NO POLE NO POLE x[1] = 0.0117 y2[1] (analytic) = 1.0116997330663270340749158532435 y2[1] (numeric) = 1.011699733068154074104665853064 absolute error = 1.8270400297499998205e-12 relative error = 1.8059113490249572665617619599964e-10 % h = 0.0001 y1[1] (analytic) = 1.9999315557807827747806509357512 y1[1] (numeric) = 1.9999315557807792120525815483805 absolute error = 3.5627280693873707e-15 relative error = 1.7814249988152543282219515356363e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=396.7MB, alloc=4.6MB, time=21.64 NO POLE NO POLE x[1] = 0.0118 y2[1] (analytic) = 1.0117997261632397918102941662231 y2[1] (numeric) = 1.0117997261651462566076274993675 absolute error = 1.9064647973333331444e-12 relative error = 1.8842313829859167264875858448066e-10 % h = 0.0001 y1[1] (analytic) = 1.9999303808078203172952211308217 y1[1] (numeric) = 1.9999303808078165679144415698432 absolute error = 3.7493807795609785e-15 relative error = 1.8747556492674073967303775125482e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=400.5MB, alloc=4.6MB, time=21.87 NO POLE NO POLE x[1] = 0.0119 y2[1] (analytic) = 1.0118997191421552880116056124274 y2[1] (numeric) = 1.0118997191441439160615222788952 absolute error = 1.9886280499166664678e-12 relative error = 1.9652422194588008321012955277370e-10 % h = 0.0001 y1[1] (analytic) = 1.9999291958355540600643413235609 y1[1] (numeric) = 1.9999291958355501159520307528636 absolute error = 3.9441123105706973e-15 relative error = 1.9721259726511865019266159366151e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=404.3MB, alloc=4.6MB, time=22.09 NO POLE NO POLE x[1] = 0.012 y2[1] (analytic) = 1.0119997120020735928905285046671 y2[1] (numeric) = 1.011999712004147192890528504458 absolute error = 2.0735999999999997909e-12 relative error = 2.0490124408214762152719941964991e-10 % h = 0.0001 y1[1] (analytic) = 1.9999280008639958528106642115087 y1[1] (numeric) = 1.9999280008639917056106525449815 absolute error = 4.1472000116665272e-15 relative error = 2.0736746572251005516593284669040e-13 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=408.1MB, alloc=4.6MB, time=22.31 x[1] = 0.0121 y2[1] (analytic) = 1.0120997047419947778487130679855 y2[1] (numeric) = 1.012099704744156229898796401099 absolute error = 2.1614520500833331135e-12 relative error = 2.1356117781245001990628152306247e-10 % h = 0.0001 y1[1] (analytic) = 1.9999267958931576452497619091056 y1[1] (numeric) = 1.9999267958931532863214491439708 absolute error = 4.3589283127651348e-15 relative error = 2.1795439321660063431612770466480e-13 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0122 y2[1] (analytic) = 1.0121996973609189154877807256331 y2[1] (numeric) = 1.0121996973631711722904473920687 absolute error = 2.2522568026666664356e-12 relative error = 2.2251111204033305921689376314479e-10 % h = 0.0001 y1[1] (analytic) = 1.9999255809230514870900064505369 y1[1] (numeric) = 1.9999255809230469075011625006835 absolute error = 4.5795888439498534e-15 relative error = 2.2898796273390215873570687231529e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=411.9MB, alloc=4.6MB, time=22.52 NO POLE NO POLE x[1] = 0.0123 y2[1] (analytic) = 1.0122996898578460796193233730434 y2[1] (numeric) = 1.0122996898601921676895733728005 absolute error = 2.3460880702499997571e-12 relative error = 2.3175825239850198894066776771228e-10 % h = 0.0001 y1[1] (analytic) = 1.9999243559536895280324492926494 y1[1] (numeric) = 1.9999243559536847185518933219663 absolute error = 4.8094805559706831e-15 relative error = 2.4048312335679419914164186343959e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=415.8MB, alloc=4.6MB, time=22.74 NO POLE NO POLE x[1] = 0.0124 y2[1] (analytic) = 1.0123996822317763452749026397083 y2[1] (numeric) = 1.0123996822342193661602359727864 absolute error = 2.4430208853333330781e-12 relative error = 2.4130992217893977565353894315932e-10 % h = 0.0001 y1[1] (analytic) = 1.9999231209850840177706998179405 y1[1] (numeric) = 1.9999231209850789688608580736501 absolute error = 5.0489098417442904e-15 relative error = 2.5245519634061706376077799866324e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=419.6MB, alloc=4.6MB, time=22.96 NO POLE NO POLE x[1] = 0.0125 y2[1] (analytic) = 1.0124996744817097887160491388545 y2[1] (numeric) = 1.012499674484252920226465805253 absolute error = 2.5431315104166663985e-12 relative error = 2.5117356326247456723603465988299e-10 % h = 0.0001 y1[1] (analytic) = 1.9999218760172473059908028376228 y1[1] (numeric) = 1.9999218760172420078001439836139 absolute error = 5.2981906588540089e-15 relative error = 2.6491988124081689666221366061902e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=423.4MB, alloc=4.6MB, time=23.17 NO POLE NO POLE x[1] = 0.0126 y2[1] (analytic) = 1.0125996666066464874442617048197 y2[1] (numeric) = 1.0125996666092929848922617045381 absolute error = 2.6464974479999997184e-12 relative error = 2.6135673704779676012658348517790e-10 % h = 0.0001 y1[1] (analytic) = 1.9999206210501918423711150947632 y1[1] (numeric) = 1.9999206210501862847264620449248 absolute error = 5.5576446530498384e-15 relative error = 2.7789326209014365935335617272872e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=427.2MB, alloc=4.6MB, time=23.38 NO POLE NO POLE x[1] = 0.0127 y2[1] (analytic) = 1.0126996586055865202110066180294 y2[1] (numeric) = 1.012699658608339717661589951067 absolute error = 2.7531974505833330376e-12 relative error = 2.7186712537992605636033614518277e-10 % h = 0.0001 y1[1] (analytic) = 1.9999193560839301765821807674999 y1[1] (numeric) = 1.9999193560839243489808980190542 absolute error = 5.8276012827484457e-15 relative error = 2.9139181362590302547568125602609e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=431.0MB, alloc=4.6MB, time=23.59 NO POLE NO POLE x[1] = 0.0128 y2[1] (analytic) = 1.0127996504775299670277168174737 y2[1] (numeric) = 1.0127996504803932785583834838298 absolute error = 2.8633115306666663561e-12 relative error = 2.8271253147812889723542731758341e-10 % h = 0.0001 y1[1] (analytic) = 1.9999180811184749582866059723366 y1[1] (numeric) = 1.9999180811184688498886614391727 absolute error = 6.1083979445331639e-15 relative error = 3.0543240756726290043181568372573e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=434.8MB, alloc=4.6MB, time=23.79 NO POLE NO POLE x[1] = 0.0129 y2[1] (analytic) = 1.0128996422214769091757911005846 y2[1] (numeric) = 1.0128996422244538301465411002586 absolute error = 2.9769209707499996740e-12 relative error = 2.9390088086328665984695536074286e-10 % h = 0.0001 y1[1] (analytic) = 1.999916796153838937138932267517 y1[1] (numeric) = 1.9999167961538325367588326135238 absolute error = 6.4003800996539932e-15 relative error = 3.2003231894261559479585481572582e-13 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=438.7MB, alloc=4.6MB, time=24.00 x[1] = 0.013 y2[1] (analytic) = 1.0129996338364274292165933104141 y2[1] (numeric) = 1.0129996338395215375499266434052 absolute error = 3.0941083333333329911e-12 relative error = 3.0544022228471500266086573739991e-10 % h = 0.0001 y1[1] (analytic) = 1.9999155011900349627855091564792 y1[1] (numeric) = 1.999915501190028258884107628879 absolute error = 6.7039014015276002e-15 relative error = 3.3520923246699638735525519277208e-13 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0131 y2[1] (analytic) = 1.0130996253213816110014515100118 y2[1] (numeric) = 1.0130996253245965684723681763193 absolute error = 3.2149574709166663075e-12 relative error = 3.1733872864643474614301266919966e-10 % h = 0.0001 y1[1] (analytic) = 1.9999141962270759848643655913924 y1[1] (numeric) = 1.9999141962270689655405413540741 absolute error = 7.0193238242373183e-15 relative error = 3.5098124896955950065235307500642e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=442.5MB, alloc=4.6MB, time=24.22 NO POLE NO POLE x[1] = 0.0132 y2[1] (analytic) = 1.0131996166753395396816571439035 y2[1] (numeric) = 1.0131996166786790932176571435265 absolute error = 3.3395535359999996230e-12 relative error = 3.2960469793289467385772011683358e-10 % h = 0.0001 y1[1] (analytic) = 1.9999128812649750530050804767766 y1[1] (numeric) = 1.9999128812649677059872884436293 absolute error = 7.3470177920331473e-15 relative error = 3.6736689187111229389303600959911e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=446.3MB, alloc=4.6MB, time=24.44 NO POLE NO POLE x[1] = 0.0133 y2[1] (analytic) = 1.0132996078973013017184641865697 y2[1] (numeric) = 1.0132996079007692847095475195075 absolute error = 3.4679829910833329378e-12 relative error = 3.4224655413414663965893692445396e-10 % h = 0.0001 y1[1] (analytic) = 1.9999115563037453168286521732074 y1[1] (numeric) = 1.9999115563037376294663423414532 absolute error = 7.6873623098317542e-15 relative error = 3.8438511371170868010696146716759e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=450.1MB, alloc=4.6MB, time=24.67 NO POLE NO POLE x[1] = 0.0134 y2[1] (analytic) = 1.0133995989862669848930882778252 y2[1] (numeric) = 1.0133995989898673185117549440769 absolute error = 3.6003336186666662517e-12 relative error = 3.5527284817047336581884779819194e-10 % h = 0.0001 y1[1] (analytic) = 1.9999102213434000259473670011052 y1[1] (numeric) = 1.9999102213433919852022722846332 absolute error = 8.0407450947164720e-15 relative error = 4.0205530272830252144144845565309e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=453.9MB, alloc=4.6MB, time=24.89 NO POLE NO POLE x[1] = 0.0135 y2[1] (analytic) = 1.0134995899412366783167058449981 y2[1] (numeric) = 1.0134995899449733728479558445629 absolute error = 3.7366945312499995648e-12 relative error = 3.6869225881646931725643079147208e-10 % h = 0.0001 y1[1] (analytic) = 1.9999088763839525299646667446136 y1[1] (numeric) = 1.9999088763839441224019583073126 absolute error = 8.4075627084373010e-15 relative error = 4.2039728948246214849686995051290e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=457.7MB, alloc=4.6MB, time=25.11 NO POLE NO POLE x[1] = 0.0136 y2[1] (analytic) = 1.0135995807612104724404532118101 y2[1] (numeric) = 1.013599580765087628621786544687 absolute error = 3.8771561813333328769e-12 relative error = 3.8251359362457503620131897156154e-10 % h = 0.0001 y1[1] (analytic) = 1.999907521425416278475015155564 y1[1] (numeric) = 1.9999075214254074902543242446564 absolute error = 8.7882206909109076e-15 relative error = 4.3943135353814668159976530981562e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=461.5MB, alloc=4.6MB, time=25.33 NO POLE NO POLE x[1] = 0.0137 y2[1] (analytic) = 1.0136995714451884590654256938566 y2[1] (numeric) = 1.0136995714492102694368423600446 absolute error = 4.0218103714166661880e-12 relative error = 3.9674578984806532188701556294955e-10 % h = 0.0001 y1[1] (analytic) = 1.9999061564678048210637634575319 y1[1] (numeric) = 1.9999061564677956379300687369066 absolute error = 9.1831336947206253e-15 relative error = 4.5917823018954532394059202149999e-13 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=465.4MB, alloc=4.6MB, time=25.55 x[1] = 0.0138 y2[1] (analytic) = 1.0137995619921707313526766805873 y2[1] (numeric) = 1.0137995619963414816166766800854 absolute error = 4.1707502639999994981e-12 relative error = 4.1139791536349163919872512001697e-10 % h = 0.0001 y1[1] (analytic) = 1.999904781511131807307014849983 y1[1] (numeric) = 1.999904781511122214581394233529 absolute error = 9.5927256206164540e-15 relative error = 4.7965911723898037349326814721823e-13 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0139 y2[1] (analytic) = 1.0138995524011573838332167036877 y2[1] (numeric) = 1.0138995524054814542248000364948 absolute error = 4.3240703915833328071e-12 relative error = 4.2647916959257914020350430928702e-10 % h = 0.0001 y1[1] (analytic) = 1.9999033965554109867714880125126 y1[1] (numeric) = 1.9999033965554009693417339974521 absolute error = 1.00174297540150605e-14 relative error = 5.0089568182487504765858643324486e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=469.2MB, alloc=4.6MB, time=25.77 NO POLE NO POLE x[1] = 0.014 y2[1] (analytic) = 1.0139995426711485124180124917603 y2[1] (numeric) = 1.0139995426756303790846791578753 absolute error = 4.4818666666666661150e-12 relative error = 4.4199888442357868217724908470289e-10 % h = 0.0001 y1[1] (analytic) = 1.9999020016006562090143796091782 y1[1] (numeric) = 1.9999020016006457513254771094002 absolute error = 1.04576889024997780e-14 relative error = 5.2291006729978696657159645081448e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=473.0MB, alloc=4.6MB, time=26.00 NO POLE NO POLE x[1] = 0.0141 y2[1] (analytic) = 1.0140995328011442144079860112068 y2[1] (numeric) = 1.0140995328057884507997360106286 absolute error = 4.6442363917499994218e-12 relative error = 4.5796652513207422541036061994661e-10 % h = 0.0001 y1[1] (analytic) = 1.9999005966468814235832257929279 y1[1] (numeric) = 1.9999005966468705096276914723215 absolute error = 1.09139555343206064e-14 relative error = 5.4572490015850834803223907667263e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=476.8MB, alloc=4.6MB, time=26.22 NO POLE NO POLE x[1] = 0.0142 y2[1] (analytic) = 1.0141995227901445885040134932104 y2[1] (numeric) = 1.0141995227949558667733468259378 absolute error = 4.8112782693333327274e-12 relative error = 4.7439169130124599390912943732712e-10 % h = 0.0001 y1[1] (analytic) = 1.9998991816941006800157627101253 y1[1] (numeric) = 1.9998991816940892933238448159126 absolute error = 1.13866919178942127e-14 relative error = 5.6936329701623384902272001367826e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=480.6MB, alloc=4.6MB, time=26.44 NO POLE NO POLE x[1] = 0.0143 y2[1] (analytic) = 1.014299512637149734816924446719 y2[1] (numeric) = 1.0142995126421328272288411127507 absolute error = 4.9830924119166660317e-12 relative error = 4.9128411774158978184658673452211e-10 % h = 0.0001 y1[1] (analytic) = 1.9998977567423281278397860051717 y1[1] (numeric) = 1.9998977567423162514695237012417 absolute error = 1.18763702623039300e-14 relative error = 5.9384887163679695578301709937351e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=484.4MB, alloc=4.6MB, time=26.67 NO POLE NO POLE x[1] = 0.0144 y2[1] (analytic) = 1.0143995023411597548775006573282 y2[1] (numeric) = 1.0143995023463195352295006566629 absolute error = 5.1597803519999993347e-12 relative error = 5.0865367541009278832389742310174e-10 % h = 0.0001 y1[1] (analytic) = 1.9998963217915780165730093252288 y1[1] (numeric) = 1.9998963217915656331001505254705 absolute error = 1.23834728587997583e-14 relative error = 6.1920574201097606643796263611310e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=488.2MB, alloc=4.6MB, time=26.89 NO POLE NO POLE x[1] = 0.0145 y2[1] (analytic) = 1.0144994919011747516464751719655 y2[1] (numeric) = 1.0144994919065161966985585046017 absolute error = 5.3414450520833326362e-12 relative error = 5.2651037232886636273062524578539e-10 % h = 0.0001 y1[1] (analytic) = 1.9998948768418646957229218250414 y1[1] (numeric) = 1.9998948768418517872306985266772 absolute error = 1.29084922232983642e-14 relative error = 6.4545853748487111216466602424360e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=492.1MB, alloc=4.6MB, time=27.11 NO POLE NO POLE x[1] = 0.0146 y2[1] (analytic) = 1.0145994813161948295245312692741 y2[1] (numeric) = 1.0145994813217230204391979352104 absolute error = 5.5281909146666659363e-12 relative error = 5.4486435450323604289706462802708e-10 % h = 0.0001 y1[1] (analytic) = 1.9998934218932026147866446718629 y1[1] (numeric) = 1.9998934218931891628554047887817 absolute error = 1.34519312398830812e-14 relative error = 6.7263240593835179991105753590762e-13 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=495.9MB, alloc=4.6MB, time=27.34 x[1] = 0.0147 y2[1] (analytic) = 1.0146994705852200943623014155985 y2[1] (numeric) = 1.0146994705909402181545514148334 absolute error = 5.7201237922499992349e-12 relative error = 5.6372590683928926768340304525408e-10 % h = 0.0001 y1[1] (analytic) = 1.9998919569456063232507865504839 y1[1] (numeric) = 1.9998919569455923089474812465746 absolute error = 1.40143033053039093e-14 relative error = 7.0075302101357841667946033153123e-13 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0148 y2[1] (analytic) = 1.0147994597072506534703662064692 y2[1] (numeric) = 1.0147994597131680044676995390011 absolute error = 5.9173509973333325319e-12 relative error = 5.8310545406088114574301049910173e-10 % h = 0.0001 y1[1] (analytic) = 1.9998904819990904705912981683662 y1[1] (numeric) = 1.9998904819990758744588236908511 absolute error = 1.45961324744775151e-14 relative error = 7.2984658939359626740645401307347e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=499.7MB, alloc=4.6MB, time=27.55 NO POLE NO POLE x[1] = 0.0149 y2[1] (analytic) = 1.014899448681286615629253293489 y2[1] (numeric) = 1.0148994486874065969416699593161 absolute error = 6.1199813124166658271e-12 relative error = 6.0301356162609866167866225645751e-10 % h = 0.0001 y1[1] (analytic) = 1.9998889970536698062733257608838 y1[1] (numeric) = 1.9998889970536546083197187736519 absolute error = 1.51979536069872319e-14 relative error = 7.5993985813100474047696873900244e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=503.5MB, alloc=4.6MB, time=27.78 NO POLE NO POLE x[1] = 0.015 y2[1] (analytic) = 1.0149994375063280910994362965188 y2[1] (numeric) = 1.0149994375126562160994362956395 absolute error = 6.3281249999999991207e-12 relative error = 6.2346093664318370074562928262512e-10 % h = 0.0001 y1[1] (analytic) = 1.9998875021093591797510635966712 y1[1] (numeric) = 1.9998875021093433594385490136115 absolute error = 1.58203125145830597e-14 relative error = 7.9106012202670202192272292642807e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=507.3MB, alloc=4.6MB, time=28.00 NO POLE NO POLE x[1] = 0.0151 y2[1] (analytic) = 1.0150994261813751916313337010653 y2[1] (numeric) = 1.0150994261879170854439170334778 absolute error = 6.5418938125833324125e-12 relative error = 6.4445842878591527272770460050586e-10 % h = 0.0001 y1[1] (analytic) = 1.9998859971661735404676054830819 y1[1] (numeric) = 1.9998859971661570767014958014166 absolute error = 1.64637661096816653e-14 relative error = 8.2323523105870650136729143013122e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=511.1MB, alloc=4.6MB, time=28.23 NO POLE NO POLE x[1] = 0.0152 y2[1] (analytic) = 1.0151994147054280304753077407681 y2[1] (numeric) = 1.0151994147121894314779744064703 absolute error = 6.7614010026666657022e-12 relative error = 6.6601703120845131578416239958419e-10 % h = 0.0001 y1[1] (analytic) = 1.9998844822241279378547952717572 y1[1] (numeric) = 1.9998844822241108089722404053753 absolute error = 1.71288825548663819e-14 relative error = 8.5649359786105587978934438038164e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=514.9MB, alloc=4.6MB, time=28.45 NO POLE NO POLE x[1] = 0.0153 y2[1] (analytic) = 1.0152994030774867223916632648874 y2[1] (numeric) = 1.0152994030844734837244132638774 absolute error = 6.9867613327499989900e-12 relative error = 6.8814788145963046049868150499324e-10 % h = 0.0001 y1[1] (analytic) = 1.9998829572832375213330763643082 y1[1] (numeric) = 1.9998829572832197050916629770986 absolute error = 1.78162414133872096e-14 relative error = 8.9086420525278509619292693458893e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=518.8MB, alloc=4.6MB, time=28.67 NO POLE NO POLE x[1] = 0.0154 y2[1] (analytic) = 1.0153993912965513836606465906933 y2[1] (numeric) = 1.015399391303769474745979922969 absolute error = 7.2180910853333322757e-12 relative error = 7.1086226239673413401142257310126e-10 % h = 0.0001 y1[1] (analytic) = 1.9998814223435175403113402181112 y1[1] (numeric) = 1.9998814223434990138775395572963 absolute error = 1.85264338006608149e-14 relative error = 9.2637661381698403227611028730999e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=522.6MB, alloc=4.6MB, time=28.89 NO POLE NO POLE x[1] = 0.0155 y2[1] (analytic) = 1.0154993793616221320924443406546 y2[1] (numeric) = 1.0154993793690776401653610062138 absolute error = 7.4555080729166655592e-12 relative error = 7.3417160309870938432717337606113e-10 % h = 0.0001 y1[1] (analytic) = 1.9998798774049833441867738522194 y1[1] (numeric) = 1.9998798774049640841242370816881 absolute error = 1.92600625367705313e-14 relative error = 9.6306096952993616121275154873928e-13 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0156 y2[1] (analytic) = 1.0155993672716990870371822643286 y2[1] (numeric) = 1.015599367279398218685182263169 absolute error = 7.6991316479999988404e-12 relative error = 7.5808747977885280415871637909887e-10 % h = 0.0001 y1[1] (analytic) = 1.9998783224676503823447063533905 y1[1] (numeric) = 1.9998783224676303646024063870319 absolute error = 2.00177422999663586e-14 relative error = 1.0009480114403390886611910162107e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=526.4MB, alloc=4.6MB, time=29.11 NO POLE NO POLE x[1] = 0.0157 y2[1] (analytic) = 1.0156993550257823693949240448515 y2[1] (numeric) = 1.0156993550337314521080073769708 absolute error = 7.9490827130833321193e-12 relative error = 7.8262161669695593368951822016929e-10 % h = 0.0001 y1[1] (analytic) = 1.9998767575315342041584543822343 y1[1] (numeric) = 1.9998767575315134040586732172706 absolute error = 2.08000997811649637e-14 relative error = 1.0400690793986082011412888717529e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=530.2MB, alloc=4.6MB, time=29.33 NO POLE NO POLE x[1] = 0.0158 y2[1] (analytic) = 1.0157993426228721016256700899299 y2[1] (numeric) = 1.0157993426310775853563367553254 absolute error = 8.2054837306666653955e-12 relative error = 8.0778588707091252123156476045987e-10 % h = 0.0001 y1[1] (analytic) = 1.9998751825966504589891666794788 y1[1] (numeric) = 1.9998751825966288512153272297991 absolute error = 2.16077738394496797e-14 relative error = 1.0804561218362643439158083836025e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=534.0MB, alloc=4.6MB, time=29.55 NO POLE NO POLE x[1] = 0.0159 y2[1] (analytic) = 1.0158993300619684077593563072315 y2[1] (numeric) = 1.0158993300704368664926063059008 absolute error = 8.4684587332499986693e-12 relative error = 8.3359231398778802079900906875396e-10 % h = 0.0001 y1[1] (analytic) = 1.9998735976630148961856675723597 y1[1] (numeric) = 1.9998735976629924547700090018529 absolute error = 2.24414156585705068e-14 relative error = 1.1221417035954067925449406357721e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=537.8MB, alloc=4.6MB, time=29.77 NO POLE NO POLE x[1] = 0.016 y2[1] (analytic) = 1.0159993173420714134058528640785 y2[1] (numeric) = 1.0159993173508095467391861960188 absolute error = 8.7381333333333319403e-12 relative error = 8.6005307131435170474770598977239e-10 % h = 0.0001 y1[1] (analytic) = 1.9998720027306433650842994811316 y1[1] (numeric) = 1.99987200273062006339539503702 absolute error = 2.33016889044441116e-14 relative error = 1.1651590138082724442745711563687e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=541.7MB, alloc=4.6MB, time=30.00 NO POLE NO POLE x[1] = 0.0161 y2[1] (analytic) = 1.0160993044621812457649629313398 y2[1] (numeric) = 1.0160993044711958804983795965482 absolute error = 9.0146347334166652084e-12 relative error = 8.8718048460707177026659989650120e-10 % h = 0.0001 y1[1] (analytic) = 1.9998703977995518150087644257052 y1[1] (numeric) = 1.9998703977995276257388807718777 absolute error = 2.41892698836538275e-14 relative error = 1.2095418738268824674505215887086e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=545.5MB, alloc=4.6MB, time=30.23 NO POLE NO POLE x[1] = 0.0162 y2[1] (analytic) = 1.0161992914212980336364214114249 y2[1] (numeric) = 1.0161992914305961253724214098984 absolute error = 9.2980917359999984735e-12 relative error = 9.1498703202157381741027567672855e-10 % h = 0.0001 y1[1] (analytic) = 1.9998687828697562952699645324099 y1[1] (numeric) = 1.9998687828697311904222615827556 absolute error = 2.51048477029496543e-14 relative error = 1.2553247452027774241498811125502e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=549.3MB, alloc=4.6MB, time=30.45 NO POLE NO POLE x[1] = 0.0163 y2[1] (analytic) = 1.0162992782184219074298936502783 y2[1] (numeric) = 1.0162992782280105421834769820137 absolute error = 9.5886347535833317354e-12 relative error = 9.4348534522156307662412262014968e-10 % h = 0.0001 y1[1] (analytic) = 1.9998671579412729551658415408855 y1[1] (numeric) = 1.9998671579412469060414117926267 absolute error = 2.60491244297482588e-14 relative error = 1.3025427377168420732454992828085e-12 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=553.1MB, alloc=4.6MB, time=30.67 x[1] = 0.0164 y2[1] (analytic) = 1.0163992648525529991749741332743 y2[1] (numeric) = 1.0163992648624393949936407982684 absolute error = 9.8863958186666649941e-12 relative error = 9.7268821028721076333591337176702e-10 % h = 0.0001 y1[1] (analytic) = 1.9998655230141180439812153111026 y1[1] (numeric) = 1.9998655230140910211659616781282 absolute error = 2.70228152536329744e-14 relative error = 1.3512316174592208781209645449742e-12 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0165 y2[1] (analytic) = 1.016499251322691442531185164913 y2[1] (numeric) = 1.0164992513328829511249351631623 absolute error = 1.01915085937499982493e-11 relative error = 1.0026085686230049368004067370469e-09 % h = 0.0001 y1[1] (analytic) = 1.9998638780883079109876213305144 y1[1] (numeric) = 1.9998638780882798843389724767134 absolute error = 2.80266486488538010e-14 relative error = 1.4014278149593254152775868250054e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=556.9MB, alloc=4.6MB, time=30.89 NO POLE NO POLE x[1] = 0.0166 y2[1] (analytic) = 1.0165992376278373727979755322164 y2[1] (numeric) = 1.0165992376383414811793088637173 absolute error = 1.05041083813333315009e-11 relative error = 1.0332595178650662404295056020358e-09 % h = 0.0001 y1[1] (analytic) = 1.9998622231638590054431472213419 y1[1] (numeric) = 1.9998622231638299440766093939366 absolute error = 2.90613665378274053e-14 relative error = 1.4531684333659348270849764258741e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=560.7MB, alloc=4.6MB, time=31.12 NO POLE NO POLE x[1] = 0.0167 y2[1] (analytic) = 1.0166992237669909269247191517259 y2[1] (numeric) = 1.0166992237778152590586358164747 absolute error = 1.08243321339166647488e-11 relative error = 1.0646543127879289002470168487331e-09 % h = 0.0001 y1[1] (analytic) = 1.9998605582407878765922682479927 y1[1] (numeric) = 1.999860558240757748867812610872 absolute error = 3.01277244556371207e-14 relative error = 1.5064912566773904239376640605703e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=564.5MB, alloc=4.6MB, time=31.33 NO POLE NO POLE x[1] = 0.0168 y2[1] (analytic) = 1.0167992097391522435207137000001 y2[1] (numeric) = 1.0167992097503045619847136979929 absolute error = 1.11523184639999979928e-11 relative error = 1.0968063662107873581041456261872e-09 % h = 0.0001 y1[1] (analytic) = 1.9998588833191111736656818246166 y1[1] (numeric) = 1.9998588833190799471739662916696 absolute error = 3.12264917155329470e-14 relative error = 1.5614347580218855980975964634498e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=568.4MB, alloc=4.6MB, time=31.56 NO POLE NO POLE x[1] = 0.0169 y2[1] (analytic) = 1.0168991955433214628651792275135 y2[1] (numeric) = 1.0168991955548096705192625587461 absolute error = 1.14882076540833312326e-11 relative error = 1.1297292499032089159643861194679e-09 % h = 0.0001 y1[1] (analytic) = 1.9998571983988456458801410227989 y1[1] (numeric) = 1.9998571983988132874285655912479 absolute error = 3.23584515754315510e-14 relative error = 1.6180381079878522635199194340173e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=572.2MB, alloc=4.6MB, time=31.78 NO POLE NO POLE x[1] = 0.017 y2[1] (analytic) = 1.0169991811784987269172567558558 y2[1] (numeric) = 1.0169991811903308685839234203239 absolute error = 1.18321416666666644681e-11 relative error = 1.1634366954903127673375767022763e-09 % h = 0.0001 y1[1] (analytic) = 1.9998555034800081424382870793928 y1[1] (numeric) = 1.9998555034799746180368816631267 absolute error = 3.35244014054162661e-14 relative error = 1.6763411830044448929634671450672e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=576.0MB, alloc=4.6MB, time=32.01 NO POLE NO POLE x[1] = 0.0171 y2[1] (analytic) = 1.0170991666436841793260068581324 y2[1] (numeric) = 1.0170991666558684434802568558316 absolute error = 1.21842641542499976992e-11 relative error = 1.1979425953574157915961707738627e-09 % h = 0.0001 y1[1] (analytic) = 1.9998537985626156125284809044932 y1[1] (numeric) = 1.999853798562580887375624667401 absolute error = 3.47251528562370922e-14 relative error = 1.7363845737721233907130802968324e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=579.8MB, alloc=4.6MB, time=32.23 NO POLE NO POLE x[1] = 0.0172 y2[1] (analytic) = 1.0171991519378779654404082224655 y2[1] (numeric) = 1.0171991519504226859097415533911 absolute error = 1.25447204693333309256e-11 relative error = 1.2332610035541454867864336008746e-09 % h = 0.0001 y1[1] (analytic) = 1.9998520836466851053246335895532 y1[1] (numeric) = 1.9998520836466491437926047788572 absolute error = 3.59615320288106960e-14 relative error = 1.7982095937433359862517012911973e-12 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=583.6MB, alloc=4.6MB, time=32.45 x[1] = 0.0173 y2[1] (analytic) = 1.0172991370600802323193561984958 y2[1] (numeric) = 1.0172991370729938899937728626428 absolute error = 1.29136576744166641470e-11 relative error = 1.2694061366980204162893794937776e-09 % h = 0.0001 y1[1] (analytic) = 1.9998503587322337699860359156452 y1[1] (numeric) = 1.9998503587321965356063911952344 absolute error = 3.72343796447204108e-14 relative error = 1.8618582876533032912314914435681e-12 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0174 y2[1] (analytic) = 1.0173991220092911287416613267851 y2[1] (numeric) = 1.0173991220225823532936613241484 absolute error = 1.32912245519999973633e-11 relative error = 1.3063923748774985443597507593003e-09 % h = 0.0001 y1[1] (analytic) = 1.999848623819278855657186861868 y1[1] (numeric) = 1.9998486238192403111059691456315 absolute error = 3.85445512177162365e-14 relative error = 1.9273734401009047491141409106213e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=587.4MB, alloc=4.6MB, time=32.67 NO POLE NO POLE x[1] = 0.0175 y2[1] (analytic) = 1.0174991067845108052160478510202 y2[1] (numeric) = 1.0174991067981883768306311815945 absolute error = 1.36775716145833305743e-11 relative error = 1.3442342625544938353138698101203e-09 % h = 0.0001 y1[1] (analytic) = 1.9998468789078377114676211139024 y1[1] (numeric) = 1.9998468789077978185503948990624 absolute error = 3.98929172262148400e-14 relative error = 1.9947985841796686888642275485344e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=591.2MB, alloc=4.6MB, time=32.89 NO POLE NO POLE x[1] = 0.0176 y2[1] (analytic) = 1.0175990913847394139911522129171 y2[1] (numeric) = 1.0175990913988122651058188766968 absolute error = 1.40728511146666637797e-11 relative error = 1.3829465094663614910174901517248e-09 % h = 0.0001 y1[1] (analytic) = 1.9998451239979277865317355727151 y1[1] (numeric) = 1.9998451239978865061684487731607 absolute error = 4.12803632867995544e-14 relative error = 2.0641780101588671110881216770834e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=595.1MB, alloc=4.6MB, time=33.12 NO POLE NO POLE x[1] = 0.0177 y2[1] (analytic) = 1.0176990758089771090655215297265 y2[1] (numeric) = 1.0176990758234543261202715267057 absolute error = 1.44772170547499969792e-11 relative error = 1.4225439915273522009791301653674e-09 % h = 0.0001 y1[1] (analytic) = 1.9998433590895666299486148634159 y1[1] (numeric) = 1.999843359089523922158286143036 absolute error = 4.27077903287203799e-14 relative error = 2.1355567742147165670437155559296e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=598.9MB, alloc=4.6MB, time=33.34 NO POLE NO POLE x[1] = 0.0178 y2[1] (analytic) = 1.0177990600562240461976120542397 y2[1] (numeric) = 1.0177990600711148713949453844122 absolute error = 1.48908251973333301725e-11 relative error = 1.4630417517295357791072466846247e-09 % h = 0.0001 y1[1] (analytic) = 1.9998415841827718908018558442662 y1[1] (numeric) = 1.9998415841827277146870864502832 absolute error = 4.41761147693939830e-14 relative error = 2.2089807072116861829382278693073e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=602.7MB, alloc=4.6MB, time=33.56 NO POLE NO POLE x[1] = 0.0179 y2[1] (analytic) = 1.0178990441254803829157876171958 y2[1] (numeric) = 1.0178990441407942159907042805553 absolute error = 1.53138330749166633595e-11 relative error = 1.5044550010431945609917758085671e-09 % h = 0.0001 y1[1] (analytic) = 1.9998397992775613181593911158438 y1[1] (numeric) = 1.9998397992775156318907002121466 absolute error = 4.56862686909036972e-14 relative error = 2.2844964235339142189726528777792e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=606.5MB, alloc=4.6MB, time=33.78 NO POLE NO POLE x[1] = 0.018 y2[1] (analytic) = 1.0179990280157462785283180519899 y2[1] (numeric) = 1.0179990280314926785283180485298 absolute error = 1.57463999999999965399e-11 relative error = 1.5467991193166869352157007952880e-09 % h = 0.0001 y1[1] (analytic) = 1.9998380043739527610733115303631 y1[1] (numeric) = 1.9998380043739055218732940308407 absolute error = 4.72392000174995224e-14 relative error = 2.3621513299667342595845302060406e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=610.3MB, alloc=4.6MB, time=34.00 NO POLE NO POLE x[1] = 0.0181 y2[1] (analytic) = 1.0180990117260218941333776015822 y2[1] (numeric) = 1.0180990117422105812084609312953 absolute error = 1.61886870750833297131e-11 relative error = 1.5900896561757813821227335023705e-09 % h = 0.0001 y1[1] (analytic) = 1.9998361994719641685796877011549 y1[1] (numeric) = 1.9998361994719153327069936030296 absolute error = 4.88358726940981253e-14 relative error = 2.4419936346283123933770532152084e-12 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0182 y2[1] (analytic) = 1.0181989952553073926290433075072 y2[1] (numeric) = 1.0181989952719482498317099703863 absolute error = 1.66408572026666628791e-11 relative error = 1.6343423319224613932010470403279e-09 % h = 0.0001 y1[1] (analytic) = 1.9998343845716135896983905123055 y1[1] (numeric) = 1.9998343845715631124315247294664 absolute error = 5.04772668657828391e-14 relative error = 2.5240723559513965482234395484515e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=614.1MB, alloc=4.6MB, time=34.21 NO POLE NO POLE x[1] = 0.0183 y2[1] (analytic) = 1.0182989786026029387232933808855 y2[1] (numeric) = 1.018298978619706013818543376923 absolute error = 1.71030750952499960375e-11 relative error = 1.6795730384332016436431518360826e-09 % h = 0.0001 y1[1] (analytic) = 1.9998325596729191734329106284584 y1[1] (numeric) = 1.9998325596728670090538523247944 absolute error = 5.21643790583036640e-14 relative error = 2.6084373317151793140651004971789e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=617.9MB, alloc=4.6MB, time=34.42 NO POLE NO POLE x[1] = 0.0184 y2[1] (analytic) = 1.018398961766908698944005555335 y2[1] (numeric) = 1.018398961784484206229338884523 absolute error = 1.75755072853333291880e-11 relative error = 1.7257978400567157910147642993895e-09 % h = 0.0001 y1[1] (analytic) = 1.9998307247758991687701770047792 y1[1] (numeric) = 1.9998307247758452705478174275126 absolute error = 5.38982223595772666e-14 relative error = 2.6951392281272754229253208248357e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=621.8MB, alloc=4.6MB, time=34.62 NO POLE NO POLE x[1] = 0.0185 y2[1] (analytic) = 1.0184989447472248416489554216842 y2[1] (numeric) = 1.0184989447652831637843720840144 absolute error = 1.80583221354166623302e-11 relative error = 1.7730329745111762721695172377825e-09 % h = 0.0001 y1[1] (analytic) = 1.9998288798805719246803743970867 y1[1] (numeric) = 1.9998288798805162448537722101066 absolute error = 5.56798266021869801e-14 relative error = 2.7842295489558152526929315691845e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=625.6MB, alloc=4.6MB, time=34.83 NO POLE NO POLE x[1] = 0.0186 y2[1] (analytic) = 1.0185989275425515370358147443861 y2[1] (numeric) = 1.0185989275611032268838147398497 absolute error = 1.85516898479999954636e-11 relative error = 1.8212948537809064706051371321345e-09 % h = 0.0001 y1[1] (analytic) = 1.9998270249869558901167598721512 y1[1] (numeric) = 1.9998270249868983798782129893466 absolute error = 5.75102385468828046e-14 relative error = 2.8757606447116555982373107037553e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=629.4MB, alloc=4.6MB, time=35.03 NO POLE NO POLE x[1] = 0.0187 y2[1] (analytic) = 1.0186989101518889571521497595328 y2[1] (numeric) = 1.0186989101709447396277330881208 absolute error = 1.90557824755833285880e-11 relative error = 1.8706000650125456261423710592334e-09 % h = 0.0001 y1[1] (analytic) = 1.9998251600950696140154783181622 y1[1] (numeric) = 1.9998251600950102234934112367554 absolute error = 5.93905220670814068e-14 relative error = 2.9697857218807089604333822646818e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=633.2MB, alloc=4.6MB, time=35.24 NO POLE NO POLE x[1] = 0.0188 y2[1] (analytic) = 1.0187988925742372759054194543717 y2[1] (numeric) = 1.0187988925938080498360861160747 absolute error = 1.95707739306666617030e-11 relative error = 1.9209653714106868584153160367745e-09 % h = 0.0001 y1[1] (analytic) = 1.9998232852049317452953769553667 y1[1] (numeric) = 1.9998232852048704235370425892467 absolute error = 6.13217583343661200e-14 relative error = 3.0663588522063926906998760662561e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=637.0MB, alloc=4.6MB, time=35.45 NO POLE NO POLE x[1] = 0.0189 y2[1] (analytic) = 1.0188988748085966690729738282229 y2[1] (numeric) = 1.018898874828693509068723823031 absolute error = 2.00968399957499948081e-11 relative error = 1.9724077131329886756915030815683e-09 % h = 0.0001 y1[1] (analytic) = 1.9998214003165610328578188468812 y1[1] (numeric) = 1.999821400316497727811813859937 absolute error = 6.33050460049869442e-14 relative error = 3.1655349820221992806675113991489e-12 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=640.8MB, alloc=4.6MB, time=35.65 x[1] = 0.019 y2[1] (analytic) = 1.0189988568539673143120521346968 y2[1] (numeric) = 1.0189988568746014726453854625997 absolute error = 2.06341583333333279029e-11 relative error = 2.0249442081847603400986695845969e-09 % h = 0.0001 y1[1] (analytic) = 1.9998195054299763255864954096783 y1[1] (numeric) = 1.9998195054299109840850880491322 absolute error = 6.53415014073605461e-14 relative error = 3.2673699416343890936118674427167e-12 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0191 y2[1] (analytic) = 1.0190988387093493911697811051138 y2[1] (numeric) = 1.0190988387305322996656977661008 absolute error = 2.11829084959166609870e-11 relative error = 2.0785921533130214601001477366395e-09 % h = 0.0001 y1[1] (analytic) = 1.9998176005451965723472379257496 y1[1] (numeric) = 1.9998176005451291400885073554906 absolute error = 6.74322587305702590e-14 relative error = 3.3719204547548068513049087775029e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=644.7MB, alloc=4.6MB, time=35.86 NO POLE NO POLE x[1] = 0.0192 y2[1] (analytic) = 1.0191988203737430810931731530246 y2[1] (numeric) = 1.0191988203954863530291731470844 absolute error = 2.17432719359999940598e-11 relative error = 2.1333690249000361808750151831351e-09 % h = 0.0001 y1[1] (analytic) = 1.9998156856622408219878280534478 y1[1] (numeric) = 1.999815685662171243517614187365 absolute error = 6.95784702138660828e-14 relative error = 3.4792441479838232069586215144284e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=648.5MB, alloc=4.6MB, time=36.06 NO POLE NO POLE x[1] = 0.0193 y2[1] (analytic) = 1.0192988018461485674391245597314 y2[1] (numeric) = 1.0192988018684639994552078868524 absolute error = 2.23154320160833271210e-11 relative error = 2.1892924798563223430734952735200e-09 % h = 0.0001 y1[1] (analytic) = 1.9998137607811282233378073390093 y1[1] (numeric) = 1.9998137607810564420314701743249 absolute error = 7.17813063371646844e-14 relative error = 3.5893995603434027469535218261415e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=652.3MB, alloc=4.6MB, time=36.27 NO POLE NO POLE x[1] = 0.0194 y2[1] (analytic) = 1.0193987831255660354844136407113 y2[1] (numeric) = 1.0193987831484656095030803008812 absolute error = 2.28995740186666601699e-11 relative error = 2.2463803565131359799088378965292e-09 % h = 0.0001 y1[1] (analytic) = 1.9998118259018780252082857282581 y1[1] (numeric) = 1.9998118259018039832522731788612 absolute error = 7.40419560125493969e-14 relative error = 3.7024461528602996760549398861398e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=656.1MB, alloc=4.6MB, time=36.48 NO POLE NO POLE x[1] = 0.0195 y2[1] (analytic) = 1.0194987642109956724356988928396 y2[1] (numeric) = 1.0194987642344915575919488860457 absolute error = 2.34958851562499932061e-11 relative error = 2.3046506755144315227442932215825e-09 % h = 0.0001 y1[1] (analytic) = 1.9998098810245095763917490784958 y1[1] (numeric) = 1.9998098810244332147649723082754 absolute error = 7.63616267767702204e-14 relative error = 3.8184443181993826678594413867719e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=659.9MB, alloc=4.6MB, time=36.70 NO POLE NO POLE x[1] = 0.0196 y2[1] (analytic) = 1.019598745101437667439517122315 y2[1] (numeric) = 1.019598745125542222020850448544 absolute error = 2.41045545813333262290e-11 relative error = 2.3641216407082980845796020221984e-09 % h = 0.0001 y1[1] (analytic) = 1.9998079261490423256618656705763 y1[1] (numeric) = 1.9998079261489635841168809267548 absolute error = 7.87415449847438215e-14 relative error = 3.9374553903470900842068272633544e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=663.7MB, alloc=4.6MB, time=36.90 NO POLE NO POLE x[1] = 0.0197 y2[1] (analytic) = 1.0196987257958922115922815531862 y2[1] (numeric) = 1.0196987258206179849886982124242 absolute error = 2.47257733964166592380e-11 relative error = 2.4248116400378721910391234173533e-09 % h = 0.0001 y1[1] (analytic) = 1.9998059612754958217732917211696 y1[1] (numeric) = 1.999805961275414638817287667636 absolute error = 8.11829560040535336e-14 relative error = 4.0595416543450170243358482341145e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=667.5MB, alloc=4.6MB, time=37.11 NO POLE NO POLE x[1] = 0.0198 y2[1] (analytic) = 1.0197987062933594979502799163789 y2[1] (numeric) = 1.0197987063187192326142799086115 absolute error = 2.53597346639999922326e-11 relative error = 2.4867392464317273279551808561273e-09 % h = 0.0001 y1[1] (analytic) = 1.9998039864038897134614758952152 y1[1] (numeric) = 1.9998039864038060263370654458585 absolute error = 8.36871244104493567e-14 relative error = 4.1847663560736355015656993244789e-12 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=671.4MB, alloc=4.6MB, time=37.31 x[1] = 0.0199 y2[1] (analytic) = 1.0198986865928397215396725191251 y2[1] (numeric) = 1.0198986866188463549562558443373 absolute error = 2.60066334165833252122e-11 relative error = 2.5499232186937406744556363778876e-09 % h = 0.0001 y1[1] (analytic) = 1.9998020015342437494424628185679 y1[1] (numeric) = 1.9998020015341574941082784706104 absolute error = 8.62553341843479575e-14 relative error = 4.3131937120861491573152202363177e-12 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.02 y2[1] (analytic) = 1.019998666693333079366490294693 y2[1] (numeric) = 1.0199986667199997460331569528691 absolute error = 2.66666666666666581761e-11 relative error = 2.6143825023924373902900581873246e-09 % h = 0.0001 y1[1] (analytic) = 1.9998000066665777784126955908375 y1[1] (numeric) = 1.9998000066664888895237872581682 absolute error = 8.88888889083326693e-14 relative error = 4.4448889194924838642857235591020e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=675.2MB, alloc=4.6MB, time=37.51 NO POLE NO POLE x[1] = 0.0201 y2[1] (analytic) = 1.0200986465938397704266328323182 y2[1] (numeric) = 1.0200986466211798038433828234418 absolute error = 2.73400334167499911236e-11 relative error = 2.6801362307498128258268760733602e-09 % h = 0.0001 y1[1] (analytic) = 1.9997980018009117490488172984243 y1[1] (numeric) = 1.9997980018008201599368516449323 absolute error = 9.15891119656534920e-14 relative error = 4.5799181658934156176576021680975e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=679.0MB, alloc=4.6MB, time=37.72 NO POLE NO POLE x[1] = 0.0202 y2[1] (analytic) = 1.0201986262933599957158663872366 y2[1] (numeric) = 1.0201986263213869303851997112906 absolute error = 2.80269346693333240540e-11 relative error = 2.7472037255296330229011842229751e-09 % h = 0.0001 y1[1] (analytic) = 1.9997959869372657100074715277534 y1[1] (numeric) = 1.999795986937171352660731800661 absolute error = 9.43573467397270924e-14 relative error = 4.7183486393648371151710716152051e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=682.8MB, alloc=4.6MB, time=37.93 NO POLE NO POLE x[1] = 0.0203 y2[1] (analytic) = 1.0202986057908939582398218707182 y2[1] (numeric) = 1.0202986058196215316767385276849 absolute error = 2.87275734369166569667e-11 relative error = 2.8156044979252138744893033279347e-09 % h = 0.0001 y1[1] (analytic) = 1.9997939620756598099251018787077 y1[1] (numeric) = 1.999793962075562614968287241904 absolute error = 9.71949568146368037e-14 relative error = 4.8602485384921643689755918174441e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=686.6MB, alloc=4.6MB, time=38.14 NO POLE NO POLE x[1] = 0.0204 y2[1] (analytic) = 1.0203985850854418630239928200026 y2[1] (numeric) = 1.0203985851148840177759928098635 absolute error = 2.94421547519999898609e-11 relative error = 2.8853582494466793108750039274048e-09 % h = 0.0001 y1[1] (analytic) = 1.9997919272161142974177504782644 y1[1] (numeric) = 1.9997919272160141940915738456383 absolute error = 1.001033261766326261e-13 relative error = 5.0056870824548848491686872150617e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=690.4MB, alloc=4.6MB, time=38.34 NO POLE NO POLE x[1] = 0.0205 y2[1] (analytic) = 1.0204985641760039171237333480359 y2[1] (numeric) = 1.0204985642061748028008166707716 absolute error = 3.01708856770833227357e-11 relative error = 2.9564848728076988798572992775506e-09 % h = 0.0001 y1[1] (analytic) = 1.9997898823586495210808554943339 y1[1] (numeric) = 1.9997898823585464372214388631079 absolute error = 1.030838594166312260e-13 relative error = 5.1547345211612484459437650426275e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=694.2MB, alloc=4.6MB, time=38.55 NO POLE NO POLE x[1] = 0.0206 y2[1] (analytic) = 1.0205985430615803296342560729082 y2[1] (numeric) = 1.0205985430924943049489227284987 absolute error = 3.09139753146666555905e-11 relative error = 3.0290044528117050882192232921448e-09 % h = 0.0001 y1[1] (analytic) = 1.9997878275032859294890476498064 y1[1] (numeric) = 1.9997878275031797915071139338695 absolute error = 1.061379819337159369e-13 relative error = 5.3074621454331028243166547933241e-12 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=698.1MB, alloc=4.6MB, time=38.75 x[1] = 0.0207 y2[1] (analytic) = 1.0206985217411713117006300268939 y2[1] (numeric) = 1.0206985217728429465178800153183 absolute error = 3.16716348172499884244e-11 relative error = 3.1029372672375908713173754118032e-09 % h = 0.0001 y1[1] (analytic) = 1.9997857626500440711959457368054 y1[1] (numeric) = 1.9997857626499348040558061000466 absolute error = 1.092671401396367588e-13 relative error = 5.4639422972408744373897656112146e-12 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0208 y2[1] (analytic) = 1.0207985002137770765277785449922 y2[1] (numeric) = 1.0207985002462211539251118662287 absolute error = 3.24440773973333212365e-11 relative error = 3.1783037877248875577236920869813e-09 % h = 0.0001 y1[1] (analytic) = 1.9997836877989445947339511311513 y1[1] (numeric) = 1.9997836877988321219322868207931 absolute error = 1.124728016643103582e-13 relative error = 5.6242483799886967361619694526338e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=701.9MB, alloc=4.6MB, time=38.95 NO POLE NO POLE x[1] = 0.0209 y2[1] (analytic) = 1.0208984784783978393904771328698 y2[1] (numeric) = 1.0208984785116293577278937868957 absolute error = 3.32315183374166540259e-11 relative error = 3.2551246806584236953053751683449e-09 % h = 0.0001 y1[1] (analytic) = 1.9997816029500082486140413070385 y1[1] (numeric) = 1.9997816029498924921584789869698 absolute error = 1.157564555623200687e-13 relative error = 5.7884548688496870159037940130380e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=705.7MB, alloc=4.6MB, time=39.16 NO POLE NO POLE x[1] = 0.021 y2[1] (analytic) = 1.0209984565340338176433513141045 y2[1] (numeric) = 1.0209984565680679926433513008962 absolute error = 3.40341749999999867917e-11 relative error = 3.3334208080524651050343577271535e-09 % h = 0.0001 y1[1] (analytic) = 1.9997795081032558813255623519248 y1[1] (numeric) = 1.9997795081031367617130419360347 absolute error = 1.191196125204158901e-13 relative error = 5.9566373211513732411282305057955e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=709.5MB, alloc=4.6MB, time=39.37 NO POLE NO POLE x[1] = 0.0211 y2[1] (analytic) = 1.021098434379685230730874456631 y2[1] (numeric) = 1.0210984344145374975684577761639 absolute error = 3.48522668375833195329e-11 relative error = 3.4132132284343365285371067678743e-09 % h = 0.0001 y1[1] (analytic) = 1.9997774032587084413360204816388 y1[1] (numeric) = 1.9997774032585858775309544671497 absolute error = 1.225638050660144891e-13 relative error = 6.1288723868112724582380332506357e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=713.3MB, alloc=4.6MB, time=39.57 NO POLE NO POLE x[1] = 0.0212 y2[1] (analytic) = 1.0211984120143523001973655782876 y2[1] (numeric) = 1.021198412050038315600032230536 absolute error = 3.56860154026666522484e-11 relative error = 3.4945231977275252351837349388751e-09 % h = 0.0001 y1[1] (analytic) = 1.9997752884163869770908725557047 y1[1] (numeric) = 1.9997752884162608865030958565056 absolute error = 1.260905877766991991e-13 relative error = 6.3052378188226221319229551337235e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=717.1MB, alloc=4.6MB, time=39.78 NO POLE NO POLE x[1] = 0.0213 y2[1] (analytic) = 1.0212983894370352496969871313645 y2[1] (numeric) = 1.0212983894735708940547371163019 absolute error = 3.65356443577499849374e-11 relative error = 3.5773721701342669542841293089682e-09 % h = 0.0001 y1[1] (analytic) = 1.9997731635763126370133155928879 y1[1] (numeric) = 1.9997731635761829354758248728679 absolute error = 1.297015374907200200e-13 relative error = 6.4858124837902659184215433213321e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=720.9MB, alloc=4.6MB, time=39.99 NO POLE NO POLE x[1] = 0.0214 y2[1] (analytic) = 1.0213983666467343050037427660544 y2[1] (numeric) = 1.021398366684135684489076083653 absolute error = 3.74013794853333175986e-11 relative error = 3.6617817990176144975318946345023e-09 % h = 0.0001 y1[1] (analytic) = 1.9997710287385066695040752869634 y1[1] (numeric) = 1.9997710287383732712505567933449 absolute error = 1.333982535184936185e-13 relative error = 6.6706763725166953757833764578502e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=724.8MB, alloc=4.6MB, time=40.20 NO POLE NO POLE x[1] = 0.0215 y2[1] (analytic) = 1.0214983436424496940214750727035 y2[1] (numeric) = 1.0214983436807331427193917229345 absolute error = 3.82834486979166502310e-11 relative error = 3.7477739377829894370270747272143e-09 % h = 0.0001 y1[1] (analytic) = 1.9997688839029904229411935227086 y1[1] (numeric) = 1.9997688839028532405833384193806 absolute error = 1.371823578551033280e-13 relative error = 6.8599106106382490482831392118711e-12 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=728.6MB, alloc=4.6MB, time=40.40 x[1] = 0.0216 y2[1] (analytic) = 1.0215983204231816467938633027652 y2[1] (numeric) = 1.0215983204623637288418632855986 absolute error = 3.91820820479999828334e-11 relative error = 3.8353706407592172034099270738696e-09 % h = 0.0001 y1[1] (analytic) = 1.9997667290697853456798148921229 y1[1] (numeric) = 1.9997667290696442901844210929746 absolute error = 1.410554953937991483e-13 relative error = 7.0535974693114704241675737577059e-12 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0217 y2[1] (analytic) = 1.0216982969879303955144210683548 y2[1] (numeric) = 1.0216982970280279072525043837594 absolute error = 4.00975117380833154046e-11 relative error = 3.9245941640790459688774888413821e-09 % h = 0.0001 y1[1] (analytic) = 1.9997645642389129860519722108769 y1[1] (numeric) = 1.9997645642387679667178317131306 absolute error = 1.450193341404977463e-13 relative error = 7.2518203759496263229461541012587e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=732.4MB, alloc=4.6MB, time=40.60 NO POLE NO POLE x[1] = 0.0218 y2[1] (analytic) = 1.021798273335696174536494020306 y2[1] (numeric) = 1.0217982733767261466671606682493 absolute error = 4.10299721306666479433e-11 relative error = 4.0154669665591496793207375989208e-09 % h = 0.0001 y1[1] (analytic) = 1.9997623894103949923663710349916 y1[1] (numeric) = 1.9997623894102459168009417525364 absolute error = 1.490755654292824552e-13 relative error = 7.4546639250093870904389286658267e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=736.2MB, alloc=4.6MB, time=40.81 NO POLE NO POLE x[1] = 0.0219 y2[1] (analytic) = 1.0218982494654792203832575046292 y2[1] (numeric) = 1.0218982495074589201415074850775 absolute error = 4.19796997582499804483e-11 relative error = 4.1080117105796155997367879485919e-09 % h = 0.0001 y1[1] (analytic) = 1.9997602045842531129081731777521 y1[1] (numeric) = 1.9997602045840998870040342744771 absolute error = 1.532259041389032750e-13 relative error = 7.6622138888276702518499535495377e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=740.0MB, alloc=4.6MB, time=41.02 NO POLE NO POLE x[1] = 0.022 y2[1] (analytic) = 1.0219982253762797717577141972713 y2[1] (numeric) = 1.0219982254192267050910475101895 absolute error = 4.29469333333333129182e-11 relative error = 4.2022512629629167366936938333494e-09 % h = 0.0001 y1[1] (analytic) = 1.9997580097605091959387792268559 y1[1] (numeric) = 1.9997580097603517238498689499834 absolute error = 1.574720889102768725e-13 relative error = 7.8745572285086490501326380803780e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=743.8MB, alloc=4.6MB, time=41.23 NO POLE NO POLE x[1] = 0.0221 y2[1] (analytic) = 1.0220982010670980695526917170775 y2[1] (numeric) = 1.0220982011110299833111083624291 absolute error = 4.39319137584166453516e-11 relative error = 4.2982086958523695015619280528433e-09 % h = 0.0001 y1[1] (analytic) = 1.999755804939185189695610061799 y1[1] (numeric) = 1.9997558049390233738132450752182 absolute error = 1.618158823649865808e-13 relative error = 8.0917821048609273939482698142343e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=747.7MB, alloc=4.6MB, time=41.43 NO POLE NO POLE x[1] = 0.0222 y2[1] (analytic) = 1.0221981765369343568608402168546 y2[1] (numeric) = 1.0221981765818692409968401946016 absolute error = 4.49348841359999777470e-11 relative error = 4.3959072875900769778109459698419e-09 % h = 0.0001 y1[1] (analytic) = 1.9997535901203031423918873715021 y1[1] (numeric) = 1.9997535901201368833205625891021 absolute error = 1.662590713247824000e-13 relative error = 8.3139778893848828315544252660972e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=751.5MB, alloc=4.6MB, time=41.64 NO POLE NO POLE x[1] = 0.0223 y2[1] (analytic) = 1.022298151784788878984629952436 y2[1] (numeric) = 1.0222981518307449687632132625391 absolute error = 4.59560897785833101031e-11 relative error = 4.4953705235943581555767038368887e-09 % h = 0.0001 y1[1] (analytic) = 1.9997513653038852022164131721785 y1[1] (numeric) = 1.9997513653037143987493810911816 absolute error = 1.708034670320809969e-13 relative error = 8.5412351753101789789616795934582e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=755.3MB, alloc=4.6MB, time=41.85 NO POLE NO POLE x[1] = 0.0224 y2[1] (analytic) = 1.0223981268096618834463488296491 y2[1] (numeric) = 1.0223981268566576616650154720673 absolute error = 4.69957782186666424182e-11 relative error = 4.5966220972366634962711747415027e-09 % h = 0.0001 y1[1] (analytic) = 1.999749130489953617333348325446 y1[1] (numeric) = 1.9997491304897781664279768597414 absolute error = 1.754509053714657046e-13 relative error = 8.7736457886834489927409276413875e-12 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0225 y2[1] (analytic) = 1.0224981016105536199980999290837 y2[1] (numeric) = 1.0224981016586078192168499037744 absolute error = 4.80541992187499746907e-11 relative error = 4.6996859107179771900887588680505e-09 % h = 0.0001 y1[1] (analytic) = 1.9997468856785307358819900566859 y1[1] (numeric) = 1.9997468856783505326348978701627 absolute error = 1.802032470921865232e-13 relative error = 9.0113027995061516998915859209356e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=759.1MB, alloc=4.6MB, time=42.05 NO POLE NO POLE x[1] = 0.0226 y2[1] (analytic) = 1.0225980761864643406317990085627 y2[1] (numeric) = 1.0225980762355959454131323154817 absolute error = 4.91316047813333069190e-11 relative error = 4.8045860759447064686636939384295e-09 % h = 0.0001 y1[1] (analytic) = 1.9997446308696390059765484736499 y1[1] (numeric) = 1.9997446308694539435985168135305 absolute error = 1.850623780316601194e-13 relative error = 9.2543005329226018341856708667769e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=762.9MB, alloc=4.6MB, time=42.26 NO POLE NO POLE x[1] = 0.0227 y2[1] (analytic) = 1.0226980505363942995891719832149 y2[1] (numeric) = 1.0226980505866225487480886223161 absolute error = 5.02282491589166391012e-11 relative error = 4.9113469154040583350993969580604e-09 % h = 0.0001 y1[1] (analytic) = 1.9997423660633009757059220853184 y1[1] (numeric) = 1.9997423660631109454965821154919 absolute error = 1.900302093399698265e-13 relative error = 9.5027345804581760204517221794557e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=766.7MB, alloc=4.6MB, time=42.48 NO POLE NO POLE x[1] = 0.0228 y2[1] (analytic) = 1.0227980246593437533717523830489 y2[1] (numeric) = 1.0227980247106881422357523542847 absolute error = 5.13443888639999712358e-11 relative error = 5.0199929630389040734303807731242e-09 % h = 0.0001 y1[1] (analytic) = 1.9997400912595392931334723210114 y1[1] (numeric) = 1.9997400912593441844557669553669 absolute error = 1.951086777053656445e-13 relative error = 9.7567018113076960652778809151692e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=770.5MB, alloc=4.6MB, time=42.68 NO POLE NO POLE x[1] = 0.0229 y2[1] (analytic) = 1.0228979985543129607508787879299 y2[1] (numeric) = 1.0228979986067932434299620912507 absolute error = 5.24802826790833033208e-11 relative error = 5.1305489651221318989674999023969e-09 % h = 0.0001 y1[1] (analytic) = 1.9997378064583767062967970497554 y1[1] (numeric) = 1.9997378064581764065512162855154 absolute error = 2.002997455807642400e-13 relative error = 1.0016300383673991119639897116276e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=774.4MB, alloc=4.6MB, time=42.89 NO POLE NO POLE x[1] = 0.023 y2[1] (analytic) = 1.0229979722203021827776922398578 y2[1] (numeric) = 1.0229979722739383744443588752121 absolute error = 5.36361916666666353543e-11 relative error = 5.2430398811304881112965309119266e-09 % h = 0.0001 y1[1] (analytic) = 1.9997355116598360632075030999076 y1[1] (numeric) = 1.9997355116596304578060918509612 absolute error = 2.056054014112489464e-13 relative error = 1.0281629756156640325991831821546e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=778.2MB, alloc=4.6MB, time=43.10 NO POLE NO POLE x[1] = 0.0231 y2[1] (analytic) = 1.0230979456563116827931336324474 y2[1] (numeric) = 1.0230979457111240619723835997818 absolute error = 5.48123791792499673344e-11 relative error = 5.3574908846179071109438571402622e-09 % h = 0.0001 y1[1] (analytic) = 1.9997332068639403118509777790397 y1[1] (numeric) = 1.999733206863729284191115209276 absolute error = 2.110276598625697637e-13 relative error = 1.0552790699190897509376517382045e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=782.0MB, alloc=4.6MB, time=43.30 NO POLE NO POLE x[1] = 0.0232 y2[1] (analytic) = 1.0231979188613417264379410775107 y2[1] (numeric) = 1.0231979189173508373072743767698 absolute error = 5.60091108693332992591e-11 relative error = 5.4739273640883306407688265266558e-09 % h = 0.0001 y1[1] (analytic) = 1.9997308920707125001861593940845 y1[1] (numeric) = 1.999730892070495931624108750726 absolute error = 2.165685620506433585e-13 relative error = 1.0829885306536799544148579205709e-11 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=785.8MB, alloc=4.6MB, time=43.51 x[1] = 0.0233 y2[1] (analytic) = 1.0232978918343925816626472486414 y2[1] (numeric) = 1.0232978918916192363620638797675 absolute error = 5.72266546994166311261e-11 relative error = 5.5923749238680166128264943901859e-09 % h = 0.0001 y1[1] (analytic) = 1.9997285672801757761453067717465 y1[1] (numeric) = 1.9997285672799535459695347186824 absolute error = 2.222301757720530641e-13 relative error = 1.1113017006818459999925901970060e-11 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0234 y2[1] (analytic) = 1.0233978645744645187375767017009 y2[1] (numeric) = 1.0233978646329297996895766646342 absolute error = 5.84652809519999629333e-11 relative error = 5.7128593849773378812949576086336e-09 % h = 0.0001 y1[1] (analytic) = 1.99972623249235338763376777918 y1[1] (numeric) = 1.9997262324921253730380322302994 absolute error = 2.280145957355488806e-13 relative error = 1.1402290575113549677413173790570e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=789.6MB, alloc=4.6MB, time=43.73 NO POLE NO POLE x[1] = 0.0235 y2[1] (analytic) = 1.0234978370805578102628431721068 y2[1] (numeric) = 1.0234978371402830725024264667853 absolute error = 5.97252622395832946785e-11 relative error = 5.8354067860020713215994199005834e-09 % h = 0.0001 y1[1] (analytic) = 1.999723887707268682529746844935 y1[1] (numeric) = 1.9997238877070347585859522974604 absolute error = 2.339239437945474746e-13 relative error = 1.1697812144592965636767062677675e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=793.4MB, alloc=4.6MB, time=43.93 NO POLE NO POLE x[1] = 0.0236 y2[1] (analytic) = 1.0235978093516727311783468488236 y2[1] (numeric) = 1.023597809412679604693013475183 absolute error = 6.10068735146666263594e-11 relative error = 5.9600433839641775758821315622205e-09 % h = 0.0001 y1[1] (analytic) = 1.9997215329249451086840714801761 y1[1] (numeric) = 1.9997215329247051483148908479967 absolute error = 2.399603691806321794e-13 relative error = 1.1999689218210690393209724283923e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=797.2MB, alloc=4.6MB, time=44.14 NO POLE NO POLE x[1] = 0.0237 y2[1] (analytic) = 1.0236977813868095587737716249553 y2[1] (numeric) = 1.0236977814491199508535215829288 absolute error = 6.23103920797499579735e-11 relative error = 6.0867956551920718245837875148619e-09 % h = 0.0001 y1[1] (analytic) = 1.9997191681454062139199578001741 y1[1] (numeric) = 1.999719168145160087871219747179 absolute error = 2.461260487380529951e-13 relative error = 1.2308030680443842886615756446774e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=801.1MB, alloc=4.6MB, time=44.35 NO POLE NO POLE x[1] = 0.0238 y2[1] (analytic) = 1.0237977531849685726985823248403 y2[1] (numeric) = 1.0237977532486046702959156143585 absolute error = 6.36360975973332895182e-11 relative error = 6.2156902961903859437335919746434e-09 % h = 0.0001 y1[1] (analytic) = 1.9997167933686756460327750460738 y1[1] (numeric) = 1.9997167933684232228456158194856 absolute error = 2.524231871592265882e-13 relative error = 1.2622946809082922848827622506186e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=804.9MB, alloc=4.6MB, time=44.57 NO POLE NO POLE x[1] = 0.0239 y2[1] (analytic) = 1.0238977247451500549720219075481 y2[1] (numeric) = 1.0238977248101343270719385285392 absolute error = 6.49842720999166209911e-11 relative error = 6.3467542245092224072792651814425e-09 % h = 0.0001 y1[1] (analytic) = 1.9997144085947771527898091069412 y1[1] (numeric) = 1.999714408594518298772587870649 absolute error = 2.588540172212362922e-13 relative error = 1.2944549287072250294496959807587e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=808.7MB, alloc=4.6MB, time=44.78 NO POLE NO POLE x[1] = 0.024 y2[1] (analytic) = 1.0239976960663542899931086466788 y2[1] (numeric) = 1.0239976961327094899931085990683 absolute error = 6.63551999999999523895e-11 relative error = 6.4800145796129002934541696431529e-09 % h = 0.0001 y1[1] (analytic) = 1.9997120138237345819300250420899 y1[1] (numeric) = 1.9997120138234691611300017099829 absolute error = 2.654208000233321070e-13 relative error = 1.3272951214400601683252528520199e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=812.5MB, alloc=4.6MB, time=44.98 NO POLE NO POLE x[1] = 0.0241 y2[1] (analytic) = 1.0240976671475815645506332863648 y2[1] (numeric) = 1.0240976672153307326507165700754 absolute error = 6.77491681000832837106e-11 relative error = 6.6154987237481937541866539770005e-09 % h = 0.0001 y1[1] (analytic) = 1.9997096090555718811638286036925 y1[1] (numeric) = 1.9997096090552997553386031729933 absolute error = 2.721258252254306992e-13 relative error = 1.3608267120042044523055240960147e-11 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=816.3MB, alloc=4.6MB, time=45.18 x[1] = 0.0242 y2[1] (analytic) = 1.024197637987832167833156173374 y2[1] (numeric) = 1.0241976380569986334358227883256 absolute error = 6.91664656026666149516e-11 relative error = 6.7532342428120633060959273927309e-09 % h = 0.0001 y1[1] (analytic) = 1.9997071942903130981728267596762 y1[1] (numeric) = 1.9997071942900341267615391442741 absolute error = 2.789714112876154021e-13 relative error = 1.3950612973946972026607322405548e-11 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0243 y2[1] (analytic) = 1.0242976085861063914390043652163 y2[1] (numeric) = 1.0242976086567137755592543113259 absolute error = 7.06073841202499461096e-11 relative error = 6.8932489472188803014512420896952e-09 % h = 0.0001 y1[1] (analytic) = 1.9997047695279823806095872169074 y1[1] (numeric) = 1.9997047695276964207038765806915 absolute error = 2.859599057106362159e-13 relative error = 1.4300106199083339524724643310589e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=820.1MB, alloc=4.6MB, time=45.39 NO POLE NO POLE x[1] = 0.0244 y2[1] (analytic) = 1.024397578941404529386268714152 y2[1] (numeric) = 1.0243975790134767470716019913334 absolute error = 7.20722176853332771814e-11 relative error = 7.0355708727671449372549239659758e-09 % h = 0.0001 y1[1] (analytic) = 1.9997023347686039760973969446656 y1[1] (numeric) = 1.9997023347683108824121195348584 absolute error = 2.930936852774098072e-13 relative error = 1.4656865683528104277601351946286e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=823.9MB, alloc=4.6MB, time=45.60 NO POLE NO POLE x[1] = 0.0245 y2[1] (analytic) = 1.0244975490527268781228009270023 y2[1] (numeric) = 1.0244975491262881408832175351663 absolute error = 7.35612627604166081640e-11 relative error = 7.1802282815056981604425104463891e-09 % h = 0.0001 y1[1] (analytic) = 1.9996998900122022322300196984112 y1[1] (numeric) = 1.999699890011901857073724178902 absolute error = 3.003751562955195092e-13 relative error = 1.5021011792608870446943277111038e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=827.8MB, alloc=4.6MB, time=45.81 NO POLE NO POLE x[1] = 0.0246 y2[1] (analytic) = 1.0245975189190737365362106006626 y2[1] (numeric) = 1.0245975189941485547842105397167 absolute error = 7.50748182479999390541e-11 relative error = 7.3272496625994278267137627919303e-09 % h = 0.0001 y1[1] (analytic) = 1.9996974352588015965714525438481 y1[1] (numeric) = 1.9996974352584937898166118285261 absolute error = 3.078067548407153220e-13 relative error = 1.5392666381095740898962897187726e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=831.6MB, alloc=4.6MB, time=46.02 NO POLE NO POLE x[1] = 0.0247 y2[1] (analytic) = 1.0246974885394454059638622332181 y2[1] (numeric) = 1.0246974886160585914644455030664 absolute error = 7.66131855005832698483e-11 relative error = 7.4766637331944694706049905626115e-09 % h = 0.0001 y1[1] (analytic) = 1.9996949705084266166556813812834 y1[1] (numeric) = 1.9996949705081112257086799673713 absolute error = 3.153909470014139121e-13 relative error = 1.5771952805443377500257122413487e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=835.4MB, alloc=4.6MB, time=46.22 NO POLE NO POLE x[1] = 0.0248 y2[1] (analytic) = 1.0247974579128421902028722105617 y2[1] (numeric) = 1.024797457991018858533538811105 absolute error = 7.81766683306666005433e-11 relative error = 7.6284994392829020439437069408486e-09 % h = 0.0001 y1[1] (analytic) = 1.9996924957611019399864354702886 y1[1] (numeric) = 1.9996924957607788097573112716756 absolute error = 3.231302291241986130e-13 relative error = 1.6158995936083271715641506708840e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=839.2MB, alloc=4.6MB, time=46.43 NO POLE NO POLE x[1] = 0.0249 y2[1] (analytic) = 1.0248974270382643955201057684147 y2[1] (numeric) = 1.0248974271180299685408556995501 absolute error = 7.97655730207499311354e-11 relative error = 7.7827859565669389795917576565412e-09 % h = 0.0001 y1[1] (analytic) = 1.9996900110168523140369409546618 y1[1] (numeric) = 1.9996900110165212869088806352371 absolute error = 3.310271280603194247e-13 relative error = 1.6553922169766227119015208475553e-11 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=843.0MB, alloc=4.6MB, time=46.65 x[1] = 0.025 y2[1] (analytic) = 1.0249973959147123306621739296497 y2[1] (numeric) = 1.0249973959960925389955071912707 absolute error = 8.13802083333332616210e-11 relative error = 7.9395526913226149373825045708142e-09 % h = 0.0001 y1[1] (analytic) = 1.9996875162757025862496733876956 y1[1] (numeric) = 1.999687516275363502048260194682 absolute error = 3.390842014131930136e-13 relative error = 1.6956859441955055620390639938432e-11 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0251 y2[1] (analytic) = 1.0250973645411863068654304168162 y2[1] (numeric) = 1.0250973646242071923863470088124 absolute error = 8.30208855209165919962e-11 relative error = 8.0988292812629685885717347472861e-09 % h = 0.0001 y1[1] (analytic) = 1.9996850115376777040361092577534 y1[1] (numeric) = 1.9996850115373303999983223550401 absolute error = 3.473040377869027133e-13 relative error = 1.7367937239267489169246673149773e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=846.8MB, alloc=4.6MB, time=46.85 NO POLE NO POLE x[1] = 0.0252 y2[1] (analytic) = 1.0251973329166866378659685397685 y2[1] (numeric) = 1.0251973330013745562019684620257 absolute error = 8.46879183359999222572e-11 relative error = 8.2606455964007217952388348865599e-09 % h = 0.0001 y1[1] (analytic) = 1.9996824968028027147764765141538 y1[1] (numeric) = 1.9996824968024470255194408156301 absolute error = 3.556892570356985237e-13 relative error = 1.7787286611969308546372235639929e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=850.7MB, alloc=4.6MB, time=47.06 NO POLE NO POLE x[1] = 0.0253 y2[1] (analytic) = 1.0252973010402136399096180582968 y2[1] (numeric) = 1.0252973011265952629507013106967 absolute error = 8.63816230410832523999e-11 relative error = 8.4250317399104555405185232573062e-09 % h = 0.0001 y1[1] (analytic) = 1.9996799720711027658195040933692 y1[1] (numeric) = 1.9996799720707385233089895962578 absolute error = 3.642425105144971114e-13 relative error = 1.8215040186517691143443215144903e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=854.5MB, alloc=4.6MB, time=47.26 NO POLE NO POLE x[1] = 0.0254 y2[1] (analytic) = 1.0253972689107676317619420196605 y2[1] (numeric) = 1.0253972689988699501806086020805 absolute error = 8.81023184186665824200e-11 relative error = 8.5920180489902829655922766279505e-09 % h = 0.0001 y1[1] (analytic) = 1.9996774373426031044821704455386 y1[1] (numeric) = 1.9996774373422301380008400637288 absolute error = 3.729664813303818098e-13 relative error = 1.8651332178154779406572846396848e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=858.3MB, alloc=4.6MB, time=47.47 NO POLE NO POLE x[1] = 0.0255 y2[1] (analytic) = 1.025497236527348934718233570924 y2[1] (numeric) = 1.0254972366171992604994834832372 absolute error = 8.98503257812499123132e-11 relative error = 8.7616350957230198689687907173494e-09 % h = 0.0001 y1[1] (analytic) = 1.9996748926173290780494510612977 y1[1] (numeric) = 1.9996748926169472141648559586789 absolute error = 3.818638845951026188e-13 relative error = 1.9096298403551471702120249367853e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=862.1MB, alloc=4.6MB, time=47.67 NO POLE NO POLE x[1] = 0.0256 y2[1] (analytic) = 1.0255972038889578726135127459955 y2[1] (numeric) = 1.0255972039805838415948459880708 absolute error = 9.16259689813332420753e-11 relative error = 8.9339136879368530233685837643578e-09 % h = 0.0001 y1[1] (analytic) = 1.9996723378953061337740649989299 y1[1] (numeric) = 1.9996723378949151963063864227247 absolute error = 3.909374676785762052e-13 relative error = 1.9550076293501437430084939580439e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=865.9MB, alloc=4.6MB, time=47.88 NO POLE NO POLE x[1] = 0.0257 y2[1] (analytic) = 1.0256971709945947718325232272688 y2[1] (numeric) = 1.0256971710880243462539397989702 absolute error = 9.34295744214165717014e-11 relative error = 9.1088848700655066652357775486930e-09 % h = 0.0001 y1[1] (analytic) = 1.9996697731765598188762204118388 y1[1] (numeric) = 1.9996697731761596288657570259366 absolute error = 4.001900104633859022e-13 relative error = 2.0012804905665358082427037342415e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=869.7MB, alloc=4.6MB, time=48.09 NO POLE NO POLE x[1] = 0.0258 y2[1] (analytic) = 1.0257971378432599613197290817671 y2[1] (numeric) = 1.0257971379385214323837289829541 absolute error = 9.52614710639999011870e-11 relative error = 9.2865799240079075120176702889984e-09 % h = 0.0001 y1[1] (analytic) = 1.9996671984611157805433590763466 y1[1] (numeric) = 1.9996671984607061562177587946368 absolute error = 4.096243256002817098e-13 relative error = 2.0484624937365396120714281645937e-11 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=873.5MB, alloc=4.6MB, time=48.28 x[1] = 0.0259 y2[1] (analytic) = 1.0258971044339537725893114716902 y2[1] (numeric) = 1.0258971045310757630308947022174 absolute error = 9.71219904415832305272e-11 relative error = 9.4670303699873486614759026127442e-09 % h = 0.0001 y1[1] (analytic) = 1.9996646137489997659298999198199 y1[1] (numeric) = 1.9996646137485805226711352395253 absolute error = 4.192432587646802946e-13 relative error = 2.0965678738429893389504378054647e-11 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.026 y2[1] (analytic) = 1.0259970707656765397351653392646 y2[1] (numeric) = 1.0259970708646880064018318989814 absolute error = 9.90114666666665597168e-11 relative error = 9.6502679674101527277034884141874e-09 % h = 0.0001 y1[1] (analytic) = 1.9996620190402376221569815491257 y1[1] (numeric) = 1.9996620190398085724680673841357 absolute error = 4.290496889141649900e-13 relative error = 2.1456110324088300913926006821014e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=877.4MB, alloc=4.6MB, time=48.49 NO POLE NO POLE x[1] = 0.0261 y2[1] (analytic) = 1.0260970368374285994408960657958 y2[1] (numeric) = 1.0260970369383588358826459545465 absolute error = 1.009302364417498887507e-10 relative error = 9.8363247157238345679574880652856e-09 % h = 0.0001 y1[1] (analytic) = 1.9996594143348552963122037794202 y1[1] (numeric) = 1.9996594143344162497836567936242 absolute error = 4.390465285469857960e-13 relative error = 2.1956065387916341846941717211999e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=881.2MB, alloc=4.6MB, time=48.69 NO POLE NO POLE x[1] = 0.0262 y2[1] (analytic) = 1.0261970026482102909898161048241 y2[1] (numeric) = 1.0261970027510889300591493224477 absolute error = 1.028786390693332176236e-10 relative error = 1.0025232855274763954145405204409e-08 % h = 0.0001 y1[1] (analytic) = 1.9996567996328788354493681632729 y1[1] (numeric) = 1.9996567996324295987254066038937 absolute error = 4.492367239615593792e-13 relative error = 2.2465691314831409408822515122574e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=885.0MB, alloc=4.6MB, time=48.90 NO POLE NO POLE x[1] = 0.0263 y2[1] (analytic) = 1.0262969681970219562749415892832 y2[1] (numeric) = 1.0262969683018789727368581356131 absolute error = 1.048570164619165463299e-10 relative error = 1.0217024868165328542755998655668e-08 % h = 0.0001 y1[1] (analytic) = 1.9996541749343343865882175201291 y1[1] (numeric) = 1.9996541749338747633327005510562 absolute error = 4.596232555169690729e-13 relative error = 2.2985137194138201633393465053001e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=888.8MB, alloc=4.6MB, time=49.11 NO POLE NO POLE x[1] = 0.0264 y2[1] (analytic) = 1.0263969334828639398089889125617 y2[1] (numeric) = 1.0263969335897296529609887874257 absolute error = 1.068657131519998748640e-10 relative error = 1.0411733479110597496724501349363e-08 % h = 0.0001 y1[1] (analytic) = 1.9996515402392481967141744661124 y1[1] (numeric) = 1.9996515402387779875762800012353 absolute error = 4.702091378944648771e-13 relative error = 2.3514553832624594737644232671909e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=892.6MB, alloc=4.6MB, time=49.32 NO POLE NO POLE x[1] = 0.0265 y2[1] (analytic) = 1.0264968985047365887343712833675 y2[1] (numeric) = 1.0264968986136416650364544865875 absolute error = 1.089050763020832032200e-10 relative error = 1.0609391656294486112373054428895e-08 % h = 0.0001 y1[1] (analytic) = 1.9996488955476466127780789441709 y1[1] (numeric) = 1.9996488955471656153577189807124 absolute error = 4.809974203599634585e-13 relative error = 2.4054093767707756953336824671223e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=896.4MB, alloc=4.6MB, time=49.54 NO POLE NO POLE x[1] = 0.0266 y2[1] (analytic) = 1.0265968632616402528331952542955 y2[1] (numeric) = 1.0265968633726157085478617856874 absolute error = 1.109754557146665313919e-10 relative error = 1.0810032612225421804539699325935e-08 % h = 0.0001 y1[1] (analytic) = 1.9996462408595560816959247545689 y1[1] (numeric) = 1.9996462408590640905088972064185 absolute error = 4.919911870275481504e-13 relative error = 2.4603911280630504656277142945639e-11 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=900.2MB, alloc=4.6MB, time=49.75 x[1] = 0.0267 y2[1] (analytic) = 1.026696827752575284537257223998 y2[1] (numeric) = 1.0266968278656524883795070833714 absolute error = 1.130772038422498593734e-10 relative error = 1.1013689804591511802582452210883e-08 % h = 0.0001 y1[1] (analytic) = 1.9996435761750031503485950857271 y1[1] (numeric) = 1.9996435761744999567914711167744 absolute error = 5.031935571239689527e-13 relative error = 2.5164162409707902650955943712504e-11 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0268 y2[1] (analytic) = 1.0267967919765420389380399128585 y2[1] (numeric) = 1.0267967920917527147353731000167 absolute error = 1.152106757973331871582e-10 relative error = 1.1220396937115212909888585714371e-08 % h = 0.0001 y1[1] (analytic) = 1.9996409014940144655815970454143 y1[1] (numeric) = 1.9996409014934998578963429028822 absolute error = 5.146076852541425321e-13 relative error = 2.5735004963624110470300631120341e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=904.1MB, alloc=4.6MB, time=49.94 NO POLE NO POLE x[1] = 0.0269 y2[1] (analytic) = 1.0268967559325408737967088120688 y2[1] (numeric) = 1.0268967560499171031591253268084 absolute error = 1.173762293624165147396e-10 relative error = 1.1430187960407503679083069662342e-08 % h = 0.0001 y1[1] (analytic) = 1.9996382168166167742047951922922 y1[1] (numeric) = 1.9996382168160905374431275400703 absolute error = 5.262367616676522219e-13 relative error = 2.6316598534779476522309945802484e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=907.9MB, alloc=4.6MB, time=50.15 NO POLE NO POLE x[1] = 0.027 y2[1] (analytic) = 1.0269967196195721495541086060083 y2[1] (numeric) = 1.0269967197391463745541084481193 absolute error = 1.195742249999998421110e-10 relative error = 1.1643097072821559355171412858374e-08 % h = 0.0001 y1[1] (analytic) = 1.9996355221428369229921440678172 y1[1] (numeric) = 1.999635522142298838979617819795 absolute error = 5.380840125262480222e-13 relative error = 2.6909104512687881992393234039064e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=911.7MB, alloc=4.6MB, time=50.36 NO POLE NO POLE x[1] = 0.0271 y2[1] (analytic) = 1.0270966830366362293407595678283 y2[1] (numeric) = 1.0270966831584412552033427370934 absolute error = 1.218050258625831692651e-10 relative error = 1.1859158721305929938250776116122e-08 % h = 0.0001 y1[1] (analytic) = 1.9996328174727018586814197285009 y1[1] (numeric) = 1.9996328174721517059812473819015 absolute error = 5.501527001723465994e-13 relative error = 2.7512686097424336322256437600371e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=915.5MB, alloc=4.6MB, time=50.56 NO POLE NO POLE x[1] = 0.0272 y2[1] (analytic) = 1.0271966461827334789868539281374 y2[1] (numeric) = 1.0271966463068024767895204243322 absolute error = 1.240689978026664961948e-10 relative error = 1.2078407602257221717698514795360e-08 % h = 0.0001 y1[1] (analytic) = 1.9996301028062386279739502785329 y1[1] (numeric) = 1.9996301028056761818505517472458 absolute error = 5.624461233985312871e-13 relative error = 2.8127508313122826253243697130152e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=919.3MB, alloc=4.6MB, time=50.77 NO POLE NO POLE x[1] = 0.0273 y2[1] (analytic) = 1.0272966090568642670322522166918 y2[1] (numeric) = 1.0272966091832307764150020395846 absolute error = 1.263665093827498228928e-10 relative error = 1.2300878662372282628932078041222e-08 % h = 0.0001 y1[1] (analytic) = 1.9996273781434743775343454027673 y1[1] (numeric) = 1.9996273781428994099166273506822 absolute error = 5.749676177180520851e-13 relative error = 2.8753738021524420159032321222409e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=923.1MB, alloc=4.6MB, time=50.98 NO POLE NO POLE x[1] = 0.0274 y2[1] (analytic) = 1.0273965716580289647364795769884 y2[1] (numeric) = 1.0273965717867268966218127263398 absolute error = 1.286979318853331493514e-10 relative error = 1.2526607099499891784041637601977e-08 % h = 0.0001 y1[1] (analytic) = 1.999624643484436353990224900077 y1[1] (numeric) = 1.9996246434838486334345885744171 absolute error = 5.877205556363256599e-13 relative error = 2.9391543935575629734678277976663e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=926.9MB, alloc=4.6MB, time=51.19 NO POLE NO POLE x[1] = 0.0275 y2[1] (analytic) = 1.027496533985227946088722053661 y2[1] (numeric) = 1.0274965341162915854116385292237 absolute error = 1.310636393229164755627e-10 relative error = 1.2755628363491953527239566554026e-08 % h = 0.0001 y1[1] (analytic) = 1.9996218988291519039319462170782 y1[1] (numeric) = 1.999621898828551195585022781733 absolute error = 6.007083469234353452e-13 relative error = 3.0041096633077030871003494453450e-11 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=930.8MB, alloc=4.6MB, time=51.39 x[1] = 0.0276 y2[1] (analytic) = 1.0275964960374615878178228525803 y2[1] (numeric) = 1.0275964961709255962658226540989 absolute error = 1.334640084479998015186e-10 relative error = 1.2987978157054196365762567969555e-08 % h = 0.0001 y1[1] (analytic) = 1.999619144177648473912330982226 y1[1] (numeric) = 1.9996191441770345394734433510854 absolute error = 6.139344388876311406e-13 relative error = 3.0702568570382145535351463047657e-11 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0277 y2[1] (analytic) = 1.0276964578137302694022785735568 y2[1] (numeric) = 1.0276964579496296881653617007676 absolute error = 1.358994187630831272108e-10 relative error = 1.3223692436596377126709853457935e-08 % h = 0.0001 y1[1] (analytic) = 1.9996163795299536104463905402876 y1[1] (numeric) = 1.9996163795293262081297407105746 absolute error = 6.274023166498297130e-13 relative error = 3.1376134096146586801836263506558e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=934.6MB, alloc=4.6MB, time=51.60 NO POLE NO POLE x[1] = 0.0278 y2[1] (analytic) = 1.027796419313034373080235415548 y2[1] (numeric) = 1.0277964194514046256109018681787 absolute error = 1.383702525306664526307e-10 relative error = 1.3462807413081990690041442048963e-08 % h = 0.0001 y1[1] (analytic) = 1.9996136048860949600110504871915 y1[1] (numeric) = 1.999613604885453844507631372796 absolute error = 6.411155034191143955e-13 relative error = 3.2061969465127468696158337322388e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=938.4MB, alloc=4.6MB, time=51.80 NO POLE NO POLE x[1] = 0.0279 y2[1] (analytic) = 1.0278963805343742838594853542683 y2[1] (numeric) = 1.0278963806752511786427351320378 absolute error = 1.408768947832497777695e-10 relative error = 1.3705359552877485647769610015993e-08 % h = 0.0001 y1[1] (analytic) = 1.999610820246100269044874205259 y1[1] (numeric) = 1.9996108202454451914841049700708 absolute error = 6.550775607692351882e-13 relative error = 3.2760252852033083007190644609641e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=942.2MB, alloc=4.6MB, time=52.01 NO POLE NO POLE x[1] = 0.028 y2[1] (analytic) = 1.0279963414767503895274622921028 y2[1] (numeric) = 1.0279963416201701228607953947207 absolute error = 1.434197333333331026179e-10 relative error = 1.3951385578600986239059152370510e-08 % h = 0.0001 y1[1] (analytic) = 1.9996080256099973839477853988185 y1[1] (numeric) = 1.9996080256093280918588692900608 absolute error = 6.692920889161087577e-13 relative error = 3.3471164365422844844506826826440e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=946.0MB, alloc=4.6MB, time=52.21 NO POLE NO POLE x[1] = 0.0281 y2[1] (analytic) = 1.0280963021391630806612381802244 y2[1] (numeric) = 1.0280963022851622394446546073913 absolute error = 1.459991587834164271669e-10 relative error = 1.4200922469970520910926788519156e-08 % h = 0.0001 y1[1] (analytic) = 1.9996052209778142510807896302068 y1[1] (numeric) = 1.9996052209771304883537933117695 absolute error = 6.837627269963184373e-13 relative error = 3.4194886061657508988112879016378e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=949.8MB, alloc=4.6MB, time=52.43 NO POLE NO POLE x[1] = 0.0282 y2[1] (analytic) = 1.0281962625206127506375191128152 y2[1] (numeric) = 1.028196262669228315173518864222 absolute error = 1.486155645359997514068e-10 relative error = 1.4454007464651757853572525958112e-08 % h = 0.0001 y1[1] (analytic) = 1.999602406349578916765694856159 y1[1] (numeric) = 1.999602406348880423612348241932 absolute error = 6.984931533466142270e-13 relative error = 3.4931601958899658938656744513905e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=953.6MB, alloc=4.6MB, time=52.65 NO POLE NO POLE x[1] = 0.0283 y2[1] (analytic) = 1.028296222620099795642641393291 y2[1] (numeric) = 1.0282962227713691424462244686185 absolute error = 1.512693468035830753275e-10 relative error = 1.4710678059105247859730196766782e-08 % h = 0.0001 y1[1] (analytic) = 1.9995995817253195272848309645907 y1[1] (numeric) = 1.9995995817246060401990465517973 absolute error = 7.134870857844127934e-13 relative error = 3.5681498051164470633440670266370e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=957.5MB, alloc=4.6MB, time=52.85 NO POLE NO POLE x[1] = 0.0284 y2[1] (analytic) = 1.0283961824366246146825675724293 y2[1] (numeric) = 1.0283961825905855193012339713483 absolute error = 1.539609046186663989190e-10 relative error = 1.4970972009433174856786599435251e-08 % h = 0.0001 y1[1] (analytic) = 1.9995967471050643288807683117751 y1[1] (numeric) = 1.9995967471043355805988790143053 absolute error = 7.287482818892974698e-13 relative error = 3.6444762322420752810604443581312e-11 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=961.3MB, alloc=4.6MB, time=53.06 x[1] = 0.0285 y2[1] (analytic) = 1.0284961419691876095928824583016 y2[1] (numeric) = 1.0284961421258782494366321804723 absolute error = 1.566906398437497221707e-10 relative error = 1.5234927332225614460160611243387e-08 % h = 0.0001 y1[1] (analytic) = 1.9995939024888416677560352599174 y1[1] (numeric) = 1.9995939024880973872167497416611 absolute error = 7.442805392855182563e-13 relative error = 3.7221584760742265985884229821470e-11 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0286 y2[1] (analytic) = 1.0285961012167891850487890979091 y2[1] (numeric) = 1.0285961013762481422301221429811 absolute error = 1.594589571813330450720e-10 relative error = 1.5502582305406300896584080993733e-08 % h = 0.0001 y1[1] (analytic) = 1.9995910478766799900728347151296 y1[1] (numeric) = 1.9995910478759199023769092233103 absolute error = 7.600876959254918193e-13 relative error = 3.8012157372509321993389329606375e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=965.1MB, alloc=4.6MB, time=53.26 NO POLE NO POLE x[1] = 0.0287 y2[1] (analytic) = 1.0286960601784297485751047304225 y2[1] (numeric) = 1.0286960603406960127590210980343 absolute error = 1.622662641839163676118e-10 relative error = 1.5773975469077902645221135705341e-08 % h = 0.0001 y1[1] (analytic) = 1.9995881832686078419527596658093 y1[1] (numeric) = 1.999588183267831668322385364317 absolute error = 7.761736303743014923e-13 relative error = 3.8816674196660666173906673619288e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=968.9MB, alloc=4.6MB, time=53.48 NO POLE NO POLE x[1] = 0.0288 y2[1] (analytic) = 1.0287960188531097105562567119254 y2[1] (numeric) = 1.0287960190182226818202564017041 absolute error = 1.651129712639996897787e-10 relative error = 1.6049145626366807144742467138698e-08 % h = 0.0001 y1[1] (analytic) = 1.999585308664653869476507721423 y1[1] (numeric) = 1.999585308663861327214412524148 absolute error = 7.925422620951972750e-13 relative error = 3.9635331318995644056235549500855e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=972.7MB, alloc=4.6MB, time=53.69 NO POLE NO POLE x[1] = 0.0289 y2[1] (analytic) = 1.0288959772398294842462784115617 y2[1] (numeric) = 1.0288959774078289759503614231227 absolute error = 1.679994917040830115610e-10 relative error = 1.6328131844267414913980279999472e-08 % h = 0.0001 y1[1] (analytic) = 1.9995824240648468186835946517006 y1[1] (numeric) = 1.9995824240640376211318585558662 absolute error = 8.091975517360958344e-13 relative error = 4.0468326886526654719165989001700e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=976.5MB, alloc=4.6MB, time=53.90 NO POLE NO POLE x[1] = 0.029 y2[1] (analytic) = 1.0289959353375894857788050789868 y2[1] (numeric) = 1.0289959355085157274454714119335 absolute error = 1.709262416666663329467e-10 relative error = 1.6610973454485943433668383659086e-08 % h = 0.0001 y1[1] (analytic) = 1.9995795294692155355720669262393 y1[1] (numeric) = 1.9995795294683893920706498457358 absolute error = 8.261435014170805035e-13 relative error = 4.1315861121881892623674209393672e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=980.4MB, alloc=4.6MB, time=54.10 NO POLE NO POLE x[1] = 0.0291 y2[1] (analytic) = 1.0290958931453901341770696830233 y2[1] (numeric) = 1.0290958933192837743813193369466 absolute error = 1.738936402042496539233e-10 relative error = 1.6897710054283741136505019011878e-08 % h = 0.0001 y1[1] (analytic) = 1.9995766248777889660982132545242 y1[1] (numeric) = 1.9995766248769455819431943532418 absolute error = 8.433841550189012824e-13 relative error = 4.2178136337758380172046656548355e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=984.2MB, alloc=4.6MB, time=54.31 NO POLE NO POLE x[1] = 0.0292 y2[1] (analytic) = 1.0291958506622318513638987214198 y2[1] (numeric) = 1.0291958508391339606332316958981 absolute error = 1.769021092693329744783e-10 relative error = 1.7188381507320111852655062906151e-08 % h = 0.0001 y1[1] (analytic) = 1.9995737102905961561762751263652 y1[1] (numeric) = 1.9995737102897352325778026515276 absolute error = 8.609235984724748376e-13 relative error = 4.3055356951425292807594646111659e-11 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=988.0MB, alloc=4.6MB, time=54.52 x[1] = 0.0293 y2[1] (analytic) = 1.0292958078871150621717080016148 y2[1] (numeric) = 1.0292958080670671358961242962134 absolute error = 1.799520737244162945986e-10 relative error = 1.7483027944494650057318187603585e-08 % h = 0.0001 y1[1] (analytic) = 1.9995707857076662516781563527552 y1[1] (numeric) = 1.9995707857067874857181069682527 absolute error = 8.787659600493845025e-13 relative error = 4.3947729499277578835740339458827e-11 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0294 y2[1] (analytic) = 1.029395764819040194352498392404 y2[1] (numeric) = 1.0293957650020841557044980066747 absolute error = 1.830439613519996142707e-10 relative error = 1.7781689764789087267121602940013e-08 % h = 0.0001 y1[1] (analytic) = 1.999567851129028498433131607151 y1[1] (numeric) = 1.9995678511281315830224782268739 absolute error = 8.969154106533802771e-13 relative error = 4.4855462651439875904246720481529e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=991.8MB, alloc=4.6MB, time=54.72 NO POLE NO POLE x[1] = 0.0295 y2[1] (analytic) = 1.0294957214570076785878515464119 y2[1] (numeric) = 1.0294957216431858814524344798928 absolute error = 1.861782028645829334809e-10 relative error = 1.8084407636108649931606243115421e-08 % h = 0.0001 y1[1] (analytic) = 1.9995649065547122422275539671807 y1[1] (numeric) = 1.9995649065537968660634410883529 absolute error = 9.153761641128788278e-13 relative error = 4.5778767226420726232439137047608e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=995.6MB, alloc=4.6MB, time=54.93 NO POLE NO POLE x[1] = 0.0296 y2[1] (analytic) = 1.0295956778000179484989255932678 y2[1] (numeric) = 1.0295956779893731804135918454827 absolute error = 1.893552319146662522149e-10 relative error = 1.8391222496122929165867549245911e-08 % h = 0.0001 y1[1] (analytic) = 1.999561951984746928804561456781 y1[1] (numeric) = 1.9995619519838127763270869932928 absolute error = 9.341524774744634882e-13 relative error = 4.6717856205817092686311320894216e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=999.4MB, alloc=4.6MB, time=55.13 NO POLE NO POLE x[1] = 0.0297 y2[1] (analytic) = 1.0296956338470714406564508033857 y2[1] (numeric) = 1.029695634039646925761200373844 absolute error = 1.925754851047495704583e-10 relative error = 1.8702175553106262670388953120750e-08 % h = 0.0001 y1[1] (analytic) = 1.9995589874191621038637825887653 y1[1] (numeric) = 1.9995589874182088552124852045073 absolute error = 9.532486512973842580e-13 relative error = 4.7672944749069177613412560251550e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1003.2MB, alloc=4.6MB, time=55.34 NO POLE NO POLE x[1] = 0.0298 y2[1] (analytic) = 1.0297955895971685945907252222488 y2[1] (numeric) = 1.029795589793007996588058110445 absolute error = 1.958394019973328881962e-10 relative error = 1.9017308286777629183558729270805e-08 % h = 0.0001 y1[1] (analytic) = 1.9995560128579874130610409078282 y1[1] (numeric) = 1.9995560128570147440310918500243 absolute error = 9.726690299490578039e-13 relative error = 4.8644250208265546698531915482926e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1007.1MB, alloc=4.6MB, time=55.55 NO POLE NO POLE x[1] = 0.0299 y2[1] (analytic) = 1.0298955450493098528016102750983 y2[1] (numeric) = 1.0298955452484572779265264805114 absolute error = 1.991474251249162054131e-10 relative error = 1.9336662449140055812425597991376e-08 % h = 0.0001 y1[1] (analytic) = 1.9995530283012526020080585339874 y1[1] (numeric) = 1.9995530283002601840061569665282 absolute error = 9.924180019015674592e-13 relative error = 4.9631992142998559748162961296602e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1010.9MB, alloc=4.6MB, time=55.75 NO POLE NO POLE x[1] = 0.03 y2[1] (analytic) = 1.0299955002024956607685263419263 y2[1] (numeric) = 1.0299955004049956607685258640196 absolute error = 2.024999999999995220933e-10 relative error = 1.9660280065319538586924732975143e-08 % h = 0.0001 y1[1] (analytic) = 1.9995500337489875162721587064666 y1[1] (numeric) = 1.9995500337479750162721295432428 absolute error = 1.0125000000291632238e-12 relative error = 5.0636392335270110568832895844773e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1014.7MB, alloc=4.6MB, time=55.96 NO POLE NO POLE x[1] = 0.0301 y2[1] (analytic) = 1.0300954550557264669604483026731 y2[1] (numeric) = 1.0300954552616240420855311408938 absolute error = 2.058975751250828382207e-10 relative error = 1.9988203434403476582453220677387e-08 % h = 0.0001 y1[1] (analytic) = 1.9995470292012221013759673280226 y1[1] (numeric) = 1.9995470292001891818740605662582 absolute error = 1.0329195019067617644e-12 relative error = 5.1657674804447678016405722716752e-11 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1018.5MB, alloc=4.6MB, time=56.17 x[1] = 0.0302 y2[1] (analytic) = 1.0301954096080027228459010525296 y2[1] (numeric) = 1.0301954098173433248485672063081 absolute error = 2.093406020026661537785e-10 relative error = 2.0320475130278619955603183189866e-08 % h = 0.0001 y1[1] (analytic) = 1.9995440146579864027971135097192 y1[1] (numeric) = 1.9995440146569327217670040633051 absolute error = 1.0536810301094464141e-12 relative error = 5.2696065822270690270508939676117e-11 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0303 y2[1] (analytic) = 1.0302953638583248829029549872432 y2[1] (numeric) = 1.0302953640711544180482044559929 absolute error = 2.128295351452494687497e-10 relative error = 2.0657138002468532237673494777134e-08 % h = 0.0001 y1[1] (analytic) = 1.9995409901193105659679291161514 y1[1] (numeric) = 1.9995409901182357768154161489784 absolute error = 1.0747891525129671730e-12 relative error = 5.3751793927907204515307233473377e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1022.3MB, alloc=4.6MB, time=56.38 NO POLE NO POLE x[1] = 0.0304 y2[1] (analytic) = 1.0303953178056934046292214583291 y2[1] (numeric) = 1.030395318022058236714554241446 absolute error = 2.163648320853327831169e-10 relative error = 2.0998235176970567230122127117704e-08 % h = 0.0001 y1[1] (analytic) = 1.9995379555852248362751473111221 y1[1] (numeric) = 1.9995379555841285877925520704144 absolute error = 1.0962484825952407077e-12 relative error = 5.4825089943060904029852215043979e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1026.1MB, alloc=4.6MB, time=56.58 NO POLE NO POLE x[1] = 0.0305 y2[1] (analytic) = 1.0304952714491087485518481980859 y2[1] (numeric) = 1.0304952716690557019372642949477 absolute error = 2.199469533854160968618e-10 relative error = 2.1343810057092360846079902272311e-08 % h = 0.0001 y1[1] (analytic) = 1.999534911055759559059600103775 y1[1] (numeric) = 1.9995349110546414953798612534236 absolute error = 1.1180636797388503514e-12 relative error = 5.5916186987128414888327783921509e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1029.9MB, alloc=4.6MB, time=56.79 NO POLE NO POLE x[1] = 0.0306 y2[1] (analytic) = 1.0305952247875713782375147143153 y2[1] (numeric) = 1.0305952250111477408855141242816 absolute error = 2.235763626479994099663e-10 relative error = 2.1693906324287838241966363317959e-08 % h = 0.0001 y1[1] (analytic) = 1.9995318565309451796159148951868 y1[1] (numeric) = 1.9995318565298049401663803490826 absolute error = 1.1402394495345461042e-12 relative error = 5.7025320492406944372535109280703e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1033.8MB, alloc=4.6MB, time=56.99 NO POLE NO POLE x[1] = 0.0307 y2[1] (analytic) = 1.0306951778200817603024276546477 y2[1] (numeric) = 1.0306951780473352868280103770589 absolute error = 2.272535265255827224112e-10 relative error = 2.2048567938992736582450474846956e-08 % h = 0.0001 y1[1] (analytic) = 1.9995287920108122431922100254208 y1[1] (numeric) = 1.9995287920096494626481242807883 absolute error = 1.1627805440857446325e-12 relative error = 5.8152728219352243171000994955870e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1037.6MB, alloc=4.6MB, time=57.20 NO POLE NO POLE x[1] = 0.0308 y2[1] (analytic) = 1.0307951305456403644223161403713 y2[1] (numeric) = 1.0307951307766192791529821745483 absolute error = 2.309789147306660341770e-10 relative error = 2.2407839141459643782598507556851e-08 % h = 0.0001 y1[1] (analytic) = 1.9995257174953913949897893210463 y1[1] (numeric) = 1.9995257174942057032274752917767 absolute error = 1.1856917623140292696e-12 relative error = 5.9298650271886893606179260746428e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1041.4MB, alloc=4.6MB, time=57.41 NO POLE NO POLE x[1] = 0.0309 y2[1] (analytic) = 1.0308950829632476633424270696665 y2[1] (numeric) = 1.0308950831980006633881764149104 absolute error = 2.347530000457493452439e-10 relative error = 2.2771764452592553570108194492050e-08 % h = 0.0001 y1[1] (analytic) = 1.9995226329847133801628356431257 y1[1] (numeric) = 1.9995226329835044022125699931103 absolute error = 1.2089779502656500154e-12 relative error = 6.0463329112758925928214835951135e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1045.2MB, alloc=4.6MB, time=57.61 NO POLE NO POLE x[1] = 0.031 y2[1] (analytic) = 1.0309950350719041328875203901453 y2[1] (numeric) = 1.0309950353104803912208530457367 absolute error = 2.385762583333326555914e-10 relative error = 2.3140388674780937210623598817785e-08 % h = 0.0001 y1[1] (analytic) = 1.999519538478809043818103435673 y1[1] (numeric) = 1.9995195384775763998166844121363 absolute error = 1.2326440014190235367e-12 relative error = 6.1647009578950764900831452129681e-11 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0311 y2[1] (analytic) = 1.0310949868706102519718643405954 memory used=1049.0MB, alloc=4.6MB, time=57.82 y2[1] (numeric) = 1.0310949871130594205177803057937 absolute error = 2.424491685459159651983e-10 relative error = 2.3513756892733332238939111382619e-08 % h = 0.0001 y1[1] (analytic) = 1.9995164339777093310146102745862 y1[1] (numeric) = 1.9995164339764526361576170414196 absolute error = 1.2566948569932331666e-12 relative error = 6.2849938897138508761918025166355e-11 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0312 y2[1] (analytic) = 1.0311949383583665026092306618289 y2[1] (numeric) = 1.0311949386047387153452299358721 absolute error = 2.463722127359992740432e-10 relative error = 2.3891914474310448538608428300512e-08 % h = 0.0001 y1[1] (analytic) = 1.9995133194814452867633274170577 y1[1] (numeric) = 1.9995133194801641512570698881527 absolute error = 1.2811355062575289050e-12 relative error = 6.4072366699201542823480358655432e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1052.8MB, alloc=4.6MB, time=58.03 NO POLE NO POLE x[1] = 0.0313 y2[1] (analytic) = 1.0312948895341733699228897765364 y2[1] (numeric) = 1.0312948897845192459889723586404 absolute error = 2.503458760660825821040e-10 relative error = 2.4274907071357792112094740751259e-08 % h = 0.0001 y1[1] (analytic) = 1.9995101949900480560268693514649 y1[1] (numeric) = 1.9995101949887420850400275240464 absolute error = 1.3059709868418274185e-12 relative error = 6.5314545037782489797630929186763e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1056.6MB, alloc=4.6MB, time=58.23 NO POLE NO POLE x[1] = 0.0314 y2[1] (analytic) = 1.0313948403970313421556059380463 y2[1] (numeric) = 1.031394840651401988974271827404 absolute error = 2.543706468186658893577e-10 relative error = 2.4662780620537806883645652772473e-08 % h = 0.0001 y1[1] (analytic) = 1.9995070605035488837191823477441 y1[1] (numeric) = 1.9995070605022176773341341357036 absolute error = 1.3312063850482120405e-12 relative error = 6.6576728401897499067369800348159e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1060.5MB, alloc=4.6MB, time=58.44 NO POLE NO POLE x[1] = 0.0315 y2[1] (analytic) = 1.0314947909459409106796323478881 y2[1] (numeric) = 1.0314947912043879270858815436694 absolute error = 2.584470164062491957813e-10 relative error = 2.5055581344161534876803624897617e-08 % h = 0.0001 y1[1] (analytic) = 1.9995039160219791147052320082513 y1[1] (numeric) = 1.9995039160206222678690685754805 absolute error = 1.3568468361634327708e-12 relative error = 6.7859173732596877052942459130196e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1064.3MB, alloc=4.6MB, time=58.65 NO POLE NO POLE x[1] = 0.0316 y2[1] (analytic) = 1.0315947411799025700067062420623 y2[1] (numeric) = 1.0315947414424780493880387434131 absolute error = 2.625754793813325013508e-10 relative error = 2.5453355751019795107870332167830e-08 % h = 0.0001 y1[1] (analytic) = 1.999500761545370193800689819113 y1[1] (numeric) = 1.999500761543987296275917412837 absolute error = 1.3828975247724062760e-12 relative error = 6.9162140438676060931636079666349e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1068.1MB, alloc=4.6MB, time=58.85 NO POLE NO POLE x[1] = 0.0317 y2[1] (analytic) = 1.0316946910979168177980439459142 y2[1] (numeric) = 1.0316946913646733512444597519559 absolute error = 2.667565334464158060417e-10 relative error = 2.5856150637213881537040060712112e-08 % h = 0.0001 y1[1] (analytic) = 1.9994975970737536657716187020694 y1[1] (numeric) = 1.9994975970723443020865459861801 absolute error = 1.4093636850727158893e-12 relative error = 7.0485890412436937840894130856315e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1071.9MB, alloc=4.6MB, time=59.06 NO POLE NO POLE x[1] = 0.0318 y2[1] (analytic) = 1.0317946406989841548743358975136 y2[1] (numeric) = 1.0317946409699748343383350073425 absolute error = 2.709906794639991098289e-10 relative error = 2.6264013086985780418160290510584e-08 % h = 0.0001 y1[1] (analytic) = 1.9994944226071611753341575668145 y1[1] (numeric) = 1.9994944226057249247329674552039 absolute error = 1.4362506011901116106e-12 relative error = 7.1830688045499511816709281624365e-11 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1075.7MB, alloc=4.6MB, time=59.27 x[1] = 0.0319 y2[1] (analytic) = 1.0318945899821050852257416394395 y2[1] (numeric) = 1.0318945902573835066923240521261 absolute error = 2.752784214665824126866e-10 relative error = 2.6676990473547907388115914035684e-08 % h = 0.0001 y1[1] (analytic) = 1.9994912381456244671542048638347 y1[1] (numeric) = 1.9994912381441609035467098537281 absolute error = 1.4635636074950101066e-12 relative error = 7.3196800244663920666292034205942e-11 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.032 y2[1] (analytic) = 1.0319945389462801160218847788703 y2[1] (numeric) = 1.0319945392259003826885504934586 absolute error = 2.796202666666657145883e-10 relative error = 2.7095130459912364636561693995422e-08 % h = 0.0001 y1[1] (analytic) = 1.99948804368917538584710113775 y1[1] (numeric) = 1.9994880436876840777581811430396 absolute error = 1.4913080889199947104e-12 relative error = 7.4584496447822804971062272150245e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1079.5MB, alloc=4.6MB, time=59.47 NO POLE NO POLE x[1] = 0.0321 y2[1] (analytic) = 1.0320944875905097576218479158791 y2[1] (numeric) = 1.0320944878745264830885969313861 absolute error = 2.840167254667490155070e-10 relative error = 2.7518480999719718496504363078423e-08 % h = 0.0001 y1[1] (analytic) = 1.9994848392378458759773105811611 y1[1] (numeric) = 1.9994848392363263864960322657391 absolute error = 1.5194894812783154220e-12 relative error = 7.5994048639924031518087905316187e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1083.4MB, alloc=4.6MB, time=59.68 NO POLE NO POLE x[1] = 0.0322 y2[1] (analytic) = 1.0321944359137945235841675398344 y2[1] (numeric) = 1.0321944362022628350534998552494 absolute error = 2.884683114693323154150e-10 relative error = 2.7947090338067297795944910185780e-08 % h = 0.0001 y1[1] (analytic) = 1.9994816247916679820581015890048 y1[1] (numeric) = 1.9994816247901198687865182000969 absolute error = 1.5481132715833889079e-12 relative error = 7.7425731368983773305107384559991e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1087.2MB, alloc=4.6MB, time=59.89 NO POLE NO POLE x[1] = 0.0323 y2[1] (analytic) = 1.0322943839151349306768288938069 y2[1] (numeric) = 1.0322943842081104721637445080906 absolute error = 2.929755414869156142837e-10 relative error = 2.8381007012337013310665638491854e-08 % h = 0.0001 y1[1] (analytic) = 1.9994784003506738485512263134217 y1[1] (numeric) = 1.9994784003490966635528570149203 absolute error = 1.5771849983692985014e-12 relative error = 7.8879821762149948441369560918364e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1091.0MB, alloc=4.6MB, time=60.10 NO POLE NO POLE x[1] = 0.0324 y2[1] (analytic) = 1.0323943315935314988872608068809 y2[1] (numeric) = 1.0323943318910704344392597189648 absolute error = 2.975389355519989120839e-10 relative error = 2.8820279853022698658033519442648e-08 % h = 0.0001 y1[1] (analytic) = 1.999475165914895719866599219139 y1[1] (numeric) = 1.9994751659132890096145869249366 absolute error = 1.6067102520122942024e-12 relative error = 8.0356599541816020133542491526071e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1094.8MB, alloc=4.6MB, time=60.30 NO POLE NO POLE x[1] = 0.0325 y2[1] (analytic) = 1.0324942789479847514323304942717 y2[1] (numeric) = 1.0324942792501437683594127030575 absolute error = 3.021590169270822087858e-10 relative error = 2.9264957984556972971342861410166e-08 % h = 0.0001 y1[1] (analytic) = 1.9994719214843659403619746393714 y1[1] (numeric) = 1.9994719214827292456869213466941 absolute error = 1.6366946750532926773e-12 relative error = 8.1856347041785160043019973960916e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1098.6MB, alloc=4.6MB, time=60.51 NO POLE NO POLE x[1] = 0.0326 y2[1] (analytic) = 1.0325942259774952147683383251489 y2[1] (numeric) = 1.0325942262843315268830038295075 absolute error = 3.068363121146655043586e-10 relative error = 2.9715090826137625694065761080278e-08 % h = 0.0001 y1[1] (analytic) = 1.9994686670591169543426233322441 y1[1] (numeric) = 1.9994686670574498103801019549846 absolute error = 1.6671439625213772595e-12 relative error = 8.3379349223484777303008171735048e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1102.4MB, alloc=4.6MB, time=60.72 NO POLE NO POLE x[1] = 0.0327 y2[1] (analytic) = 1.0326941726810634186010125580646 y2[1] (numeric) = 1.0326941729926347694682613568356 absolute error = 3.115713508672487987710e-10 relative error = 3.0170728092553523833292137762327e-08 % h = 0.0001 y1[1] (analytic) = 1.9994654026391813060610080377403 y1[1] (numeric) = 1.9994654026374832421987497397915 absolute error = 1.6980638622582979488e-12 relative error = 8.4925893692231415380800472453070e-11 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1106.2MB, alloc=4.6MB, time=60.92 x[1] = 0.0328 y2[1] (analytic) = 1.0327941190576898958955040438881 y2[1] (numeric) = 1.0327941193740545620928361358789 absolute error = 3.163646661973320919908e-10 relative error = 3.0631919795010042011118811477223e-08 % h = 0.0001 y1[1] (analytic) = 1.9994621282245916397164580351766 y1[1] (numeric) = 1.9994621282228621795412140637648 absolute error = 1.7294601752439714118e-12 relative error = 8.6496270713546019167753925013407e-11 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0329 y2[1] (analytic) = 1.0328940651063751828863808961463 y2[1] (numeric) = 1.0328940654275919772737962801312 absolute error = 3.212167943874153839849e-10 relative error = 3.1098716241954015652825420753828e-08 % h = 0.0001 y1[1] (analytic) = 1.9994588438153806994548427012103 y1[1] (numeric) = 1.9994588438136193606989197202287 absolute error = 1.7613387559229809816e-12 relative error = 8.8090773229519574496486095795798e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1110.1MB, alloc=4.6MB, time=61.13 NO POLE NO POLE x[1] = 0.033 y2[1] (analytic) = 1.0329940108261198190876231286692 y2[1] (numeric) = 1.0329940111522480940876218033887 absolute error = 3.261282749999986747195e-10 relative error = 3.1571168039898217650307899788217e-08 % h = 0.0001 y1[1] (analytic) = 1.9994555494115813293682440683808 y1[1] (numeric) = 1.9994555494097876238557119917226 absolute error = 1.7937055125320766582e-12 relative error = 8.9709696875229122446908164225088e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1113.9MB, alloc=4.6MB, time=61.34 NO POLE NO POLE x[1] = 0.0331 y2[1] (analytic) = 1.0330939562159243473026172604418 y2[1] (numeric) = 1.0330939565470239981901992246019 absolute error = 3.310996508875819641601e-10 relative error = 3.2049326094245358838999277983640e-08 % h = 0.0001 y1[1] (analytic) = 1.9994522450132264734946283841891 y1[1] (numeric) = 1.999452245011399907087199709081 absolute error = 1.8265664074286751081e-12 relative error = 9.1353339995204150664727507517760e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1117.7MB, alloc=4.6MB, time=61.54 NO POLE NO POLE x[1] = 0.0332 y2[1] (analytic) = 1.0331939012747893136341508875623 y2[1] (numeric) = 1.0331939016109207818368161398334 absolute error = 3.361314682026652522711e-10 relative error = 3.2533241610111612626305497394496e-08 % h = 0.0001 y1[1] (analytic) = 1.9994489306203491758175166707184 y1[1] (numeric) = 1.9994489306184892483600963110539 absolute error = 1.8599274574203596645e-12 relative error = 9.3022003659943364068148574726521e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1121.5MB, alloc=4.6MB, time=61.75 NO POLE NO POLE x[1] = 0.0333 y2[1] (analytic) = 1.0332938460017152674944072222057 y2[1] (numeric) = 1.0332938463429395439021557612219 absolute error = 3.412242764077485390162e-10 relative error = 3.3022966093149664109498149977354e-08 % h = 0.0001 y1[1] (analytic) = 1.9994456062329825802656542847992 y1[1] (numeric) = 1.999445606231088785531558904472 absolute error = 1.8937947340953803272e-12 relative error = 9.4715991682481837210526812267828e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1125.3MB, alloc=4.6MB, time=61.96 NO POLE NO POLE x[1] = 0.0334 y2[1] (analytic) = 1.0333937903957027616149595984935 y2[1] (numeric) = 1.0333937907420813899002914228516 absolute error = 3.463786282853318243581e-10 relative error = 3.3518551350371284020523531167587e-08 % h = 0.0001 y1[1] (analytic) = 1.9994422718511599307126794787222 y1[1] (numeric) = 1.9994422718492317563485253249593 absolute error = 1.9281743641541537629e-12 relative error = 9.6435610635008550653809392108469e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1129.1MB, alloc=4.6MB, time=62.16 NO POLE NO POLE x[1] = 0.0335 y2[1] (analytic) = 1.0334937344557523520567659451698 y2[1] (numeric) = 1.0334937348073474320046810534285 absolute error = 3.515950799479151082587e-10 relative error = 3.4020049490969427835227784980380e-08 % h = 0.0001 y1[1] (analytic) = 1.9994389274749145709767909615017 y1[1] (numeric) = 1.9994389274729514984470491981971 absolute error = 1.9630725297417633046e-12 relative error = 9.8181169865534313614626516829412e-11 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1132.9MB, alloc=4.6MB, time=62.37 x[1] = 0.0336 y2[1] (analytic) = 1.0335936781808645982201632249833 y2[1] (numeric) = 1.0335936785377387890681616156623 absolute error = 3.568741908479983906790e-10 relative error = 3.4527512927139860384083499846218e-08 % h = 0.0001 y1[1] (analytic) = 1.9994355731042799448204144606947 y1[1] (numeric) = 1.9994355731022814493516330017425 absolute error = 1.9984954687814589522e-12 relative error = 9.9952981514610075322002163227217e-11 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0337 y2[1] (analytic) = 1.0336936215700400628548618406758 y2[1] (numeric) = 1.0336936219322565866429435122547 absolute error = 3.622165237880816715789e-10 relative error = 3.5040994374902306301379245061221e-08 % h = 0.0001 y1[1] (analytic) = 1.9994322087392895959498682847764 y1[1] (numeric) = 1.9994322087372551464745591274041 absolute error = 2.0344494753091573723e-12 relative error = 1.0175136053209562732765463627531e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1136.8MB, alloc=4.6MB, time=62.58 NO POLE NO POLE x[1] = 0.0338 y2[1] (analytic) = 1.0337935646222793120699400074764 y2[1] (numeric) = 1.0337935649899019570006049583939 absolute error = 3.676226449306649509175e-10 relative error = 3.5560546854921126649651702205114e-08 % h = 0.0001 y1[1] (analytic) = 1.9994288343799771680150278860773 y1[1] (numeric) = 1.9994288343779062271152189441792 absolute error = 2.0709408998089418981e-12 relative error = 1.0357662469397869916195605365764e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1140.6MB, alloc=4.6MB, time=62.79 NO POLE NO POLE x[1] = 0.0339 y2[1] (analytic) = 1.0338935073365829153438380920027 y2[1] (numeric) = 1.0338935077096760391520863206556 absolute error = 3.730931238082482286529e-10 relative error = 3.6086223693325522055764889758881e-08 % h = 0.0001 y1[1] (analytic) = 1.9994254500263764046089894242848 y1[1] (numeric) = 1.9994254500242684284594398617556 absolute error = 2.1079761495495625292e-12 relative error = 1.0542909461924444968066370195769e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1144.4MB, alloc=4.6MB, time=62.99 NO POLE NO POLE x[1] = 0.034 y2[1] (analytic) = 1.033993449711951445534352917468 y2[1] (numeric) = 1.0339934500905799788676844222101 absolute error = 3.786285333333315047421e-10 relative error = 3.6618078522529262694975593872396e-08 % h = 0.0001 y1[1] (analytic) = 1.9994220556785211492677323305128 y1[1] (numeric) = 1.9994220556763755875788103945804 absolute error = 2.1455616889219359324e-12 relative error = 1.0730909378679535651961423417513e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1148.2MB, alloc=4.6MB, time=63.21 NO POLE NO POLE x[1] = 0.0341 y2[1] (analytic) = 1.034093391747385478888632035095 y2[1] (numeric) = 1.0340933921316149286970468142361 absolute error = 3.842294498084147791411e-10 relative error = 3.7156165282049945459055678194829e-08 % h = 0.0001 y1[1] (analytic) = 1.9994186513364453454697808719416 y1[1] (numeric) = 1.9994186513342616414300032265009 absolute error = 2.1837040397776454407e-12 relative error = 1.0921694855242150588657545865056e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1152.0MB, alloc=4.6MB, time=63.42 NO POLE NO POLE x[1] = 0.0342 y2[1] (analytic) = 1.0341933334418855950531679616358 y2[1] (numeric) = 1.0341933338317820479891660134408 absolute error = 3.898964529359980518050e-10 relative error = 3.7700538219327778644293042705241e-08 % h = 0.0001 y1[1] (analytic) = 1.9994152370001830366358647170334 y1[1] (numeric) = 1.9994152369979606268540962759795 absolute error = 2.2224097817684410539e-12 relative error = 1.1115298816582128523659931344604e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1155.8MB, alloc=4.6MB, time=63.63 NO POLE NO POLE x[1] = 0.0343 y2[1] (analytic) = 1.034293274794452377083792382899 y2[1] (numeric) = 1.0342932751900825029123737055866 absolute error = 3.956301258285813226876e-10 relative error = 3.8251251890543894494944279847338e-08 % h = 0.0001 y1[1] (analytic) = 1.9994118126697683661285785013254 y1[1] (numeric) = 1.9994118126675066805758917618867 absolute error = 2.2616855526867394387e-12 relative error = 1.1311754478767248110920148000102e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1159.6MB, alloc=4.6MB, time=63.84 NO POLE NO POLE x[1] = 0.0344 y2[1] (analytic) = 1.0343932158040864114556703231827 y2[1] (numeric) = 1.0343932162055174664743349149246 absolute error = 4.014310550186645917419e-10 relative error = 3.8808361161438189937676220915713e-08 % h = 0.0001 y1[1] (analytic) = 1.9994083783452355772520403938034 y1[1] (numeric) = 1.9994083783429340392032332698754 absolute error = 2.3015380488071239280e-12 relative error = 1.1511095350675378450277908846360e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1163.5MB, alloc=4.6MB, time=64.05 x[1] = 0.0345 y2[1] (analytic) = 1.034493156469788288073294280515 y2[1] (numeric) = 1.0344931568770881185420421394344 absolute error = 4.072998304687478589194e-10 relative error = 3.9371921208126695841975711665181e-08 % h = 0.0001 y1[1] (analytic) = 1.9994049340266190132515496638619 y1[1] (numeric) = 1.9994049340242770392263208193401 absolute error = 2.3419740252288445218e-12 relative error = 1.1713355235711670630377909432027e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0346 y2[1] (analytic) = 1.0345930967905586002804783276 y2[1] (numeric) = 1.034593097203795645861809451771 absolute error = 4.132370455813311241710e-10 relative error = 3.9941987517918475141761465531516e-08 % h = 0.0001 y1[1] (analytic) = 1.9994014797139531173132432488506 y1[1] (numeric) = 1.9994014797115701170170239309641 absolute error = 2.3830002962193178865e-12 relative error = 1.1918568233530790501510925995896e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1167.3MB, alloc=4.6MB, time=64.26 NO POLE NO POLE x[1] = 0.0347 y2[1] (analytic) = 1.0346930367653979448703521783722 y2[1] (numeric) = 1.0346930371846412420792665658181 absolute error = 4.192432972089143874459e-10 relative error = 4.0518615890132050152593984714996e-08 % h = 0.0001 y1[1] (analytic) = 1.9993980154072724325637513222137 y1[1] (numeric) = 1.9993980154048478088281926948585 absolute error = 2.4246237355586273552e-12 relative error = 1.2126768741764192932543066099571e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1171.1MB, alloc=4.6MB, time=64.47 NO POLE NO POLE x[1] = 0.0348 y2[1] (analytic) = 1.0347929763933069220953552200562 y2[1] (numeric) = 1.0347929768186261077593528687485 absolute error = 4.253191856639976486923e-10 relative error = 4.1101862436911359419375974680503e-08 % h = 0.0001 y1[1] (analytic) = 1.9993945411066116020698518622238 y1[1] (numeric) = 1.999394541104144750792966839296 absolute error = 2.4668512768850229278e-12 relative error = 1.2337991457752437787797713912340e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1174.9MB, alloc=4.6MB, time=64.68 NO POLE NO POLE x[1] = 0.0349 y2[1] (analytic) = 1.0348929156732861356772305106341 y2[1] (numeric) = 1.0348929161047514504063114184917 absolute error = 4.314653147290809078576e-10 relative error = 4.1691783584041244428627163779735e-08 % h = 0.0001 y1[1] (analytic) = 1.9993910568120053688381242213143 y1[1] (numeric) = 1.9993910568094956789240828000437 absolute error = 2.5096899140414212706e-12 relative error = 1.2552271380282547864962260339634e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1178.7MB, alloc=4.6MB, time=64.89 NO POLE NO POLE x[1] = 0.035 y2[1] (analytic) = 1.0349928546043361928170187416202 y2[1] (numeric) = 1.0349928550420184844836829065075 absolute error = 4.376822916666641648873e-10 relative error = 4.2288436071762466519343898224378e-08 % h = 0.0001 y1[1] (analytic) = 1.9993875625234885758146016960142 y1[1] (numeric) = 1.9993875625209354291131787902974 absolute error = 2.5531467014229057168e-12 relative error = 1.2769643811330409044300587586143e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1182.5MB, alloc=4.6MB, time=65.10 NO POLE NO POLE x[1] = 0.0351 y2[1] (analytic) = 1.0350927931854577042050521660418 y2[1] (numeric) = 1.0350927936294284314342995857678 absolute error = 4.439707272292474197260e-10 relative error = 4.2891876955586254326641216429839e-08 % h = 0.0001 y1[1] (analytic) = 1.9993840582410961658844230974878 y1[1] (numeric) = 1.9993840582384989371300978712215 absolute error = 2.5972287543252262663e-12 relative error = 1.2990144357808212885154087968695e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1186.4MB, alloc=4.6MB, time=65.32 NO POLE NO POLE x[1] = 0.0352 y2[1] (analytic) = 1.0351927314156512840309484915274 y2[1] (numeric) = 1.0351927318659825197002791638447 absolute error = 4.503312356693306723173e-10 relative error = 4.3502163607108382091518959008880e-08 % h = 0.0001 y1[1] (analytic) = 1.9993805439648631818714833226836 y1[1] (numeric) = 1.9993805439622212386221890230982 absolute error = 2.6419432492942995854e-12 relative error = 1.3213808933316941917423662967920e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1190.2MB, alloc=4.6MB, time=65.52 NO POLE NO POLE x[1] = 0.0353 y2[1] (analytic) = 1.035292669293917549993604738403 y2[1] (numeric) = 1.0352926697506819847430186610058 absolute error = 4.567644347494139226028e-10 relative error = 4.4119353714822779170203942466630e-08 % h = 0.0001 y1[1] (analytic) = 1.9993770196948247665380829260956 y1[1] (numeric) = 1.9993770196921374691136062170884 absolute error = 2.6872974244767090072e-12 relative error = 1.3440673759903897877431908658644e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0354 y2[1] (analytic) = 1.0353926068192571233111910626937 y2[1] (numeric) = 1.0353926072825280690631882332172 absolute error = 4.632709457519971705235e-10 relative error = 4.4743505284934671076601591235018e-08 % h = 0.0001 y1[1] (analytic) = 1.999373485431016162584576692141 y1[1] (numeric) = 1.9993734854282828640046054876094 absolute error = 2.7332985799712045316e-12 relative error = 1.3670775369825273128768216870067e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1194.0MB, alloc=4.6MB, time=65.72 NO POLE NO POLE x[1] = 0.0355 y2[1] (analytic) = 1.0354925439906706287311445439347 y2[1] (numeric) = 1.0354925444605220222207249599532 absolute error = 4.698513934895804160185e-10 relative error = 4.5374676642173252390361101335244e-08 % h = 0.0001 y1[1] (analytic) = 1.9993699411734727126490212081564 y1[1] (numeric) = 1.9993699411706927585708400053315 absolute error = 2.7799540781812028249e-12 relative error = 1.3904150607313765514927657620339e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1197.8MB, alloc=4.6MB, time=65.93 NO POLE NO POLE x[1] = 0.0356 y2[1] (analytic) = 1.035592480807158694540162937688 y2[1] (numeric) = 1.0355924812836651008548265967137 absolute error = 4.765064063146636590257e-10 relative error = 4.6012926430603891863787195035958e-08 % h = 0.0001 y1[1] (analytic) = 1.9993663869222298593068214380178 y1[1] (numeric) = 1.9993663869194025879626531507976 absolute error = 2.8272713441682872202e-12 relative error = 1.4140836630351236897262927099177e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1201.6MB, alloc=4.6MB, time=66.15 NO POLE NO POLE x[1] = 0.0357 y2[1] (analytic) = 1.035692417267721952574198392667 y2[1] (numeric) = 1.0356924177509585687039452921488 absolute error = 4.832366161297468994818e-10 relative error = 4.6658313614439870059899119565508e-08 % h = 0.0001 y1[1] (analytic) = 1.9993628226773231450703762963869 y1[1] (numeric) = 1.9993628226744478872043695886696 absolute error = 2.8752578660067077173e-12 relative error = 1.4380870912446415619971301884430e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1205.4MB, alloc=4.6MB, time=66.36 NO POLE NO POLE x[1] = 0.0358 y2[1] (analytic) = 1.0357923533713610382284511323693 y2[1] (numeric) = 1.0357923538614036966257812696909 absolute error = 4.900426583973301373216e-10 relative error = 4.7310897478853649853981010649231e-08 % h = 0.0001 y1[1] (analytic) = 1.9993592484387882123887232235872 y1[1] (numeric) = 1.9993592484358642911935843426047 absolute error = 2.9239211951388809825e-12 relative error = 1.4624291244417643153047763702550e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1209.2MB, alloc=4.6MB, time=66.57 NO POLE NO POLE x[1] = 0.0359 y2[1] (analytic) = 1.0358922891170765904673631011156 y2[1] (numeric) = 1.0358922896140017626172764735946 absolute error = 4.969251721499133724790e-10 relative error = 4.7970737630787680130982176559407e-08 % h = 0.0001 y1[1] (analytic) = 1.9993556642066608036471817611143 y1[1] (numeric) = 1.9993556642036875347004498707652 absolute error = 2.9732689467318903491e-12 relative error = 1.4871135736180665166842761282734e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1213.1MB, alloc=4.6MB, time=66.77 NO POLE NO POLE x[1] = 0.036 y2[1] (analytic) = 1.0359922245038692518346115743976 y2[1] (numeric) = 1.0359922250077540518346081792835 absolute error = 5.038847999999966048859e-10 relative error = 4.8637893999764733010310124215134e-08 % h = 0.0001 y1[1] (analytic) = 1.9993520699809767611669961277823 y1[1] (numeric) = 1.9993520699779534523669611419657 absolute error = 3.0233088000349858166e-12 relative error = 1.5121442818541467278565263178622e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1216.9MB, alloc=4.6MB, time=66.98 NO POLE NO POLE x[1] = 0.0361 y2[1] (analytic) = 1.0360921595307396684631027334324 y2[1] (numeric) = 1.0360921600416618566131825679053 absolute error = 5.109221881500798344729e-10 relative error = 4.9312426838697774930085667910244e-08 % h = 0.0001 y1[1] (analytic) = 1.9993484657617720272049767965126 y1[1] (numeric) = 1.9993484657586979787062387124611 absolute error = 3.0740484987380840515e-12 relative error = 1.5375251244994155736286299965144e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1220.7MB, alloc=4.6MB, time=67.18 x[1] = 0.0362 y2[1] (analytic) = 1.0361920941966884900849652038255 y2[1] (numeric) = 1.0361920947147264764876282649945 absolute error = 5.180379864026630611690e-10 relative error = 4.9994396724699371922065785154363e-08 % h = 0.0001 y1[1] (analytic) = 1.9993448515490826439531410717652 y1[1] (numeric) = 1.9993448515459571481018098033784 absolute error = 3.1254958513312683868e-12 relative error = 1.5632600093523883277695642400532e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0363 y2[1] (analytic) = 1.0362920285007163700415435582407 y2[1] (numeric) = 1.0362920290259492182117898431425 absolute error = 5.252328481702462849018e-10 relative error = 5.0683864559890629408638400107700e-08 % h = 0.0001 y1[1] (analytic) = 1.9993412273429447535383526676195 y1[1] (numeric) = 1.9993412273397670948068873787972 absolute error = 3.1776587314652888223e-12 relative error = 1.5893528768414820426579070185354e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1224.5MB, alloc=4.6MB, time=67.39 NO POLE NO POLE x[1] = 0.0364 y2[1] (analytic) = 1.036391962441823965293391782979 y2[1] (numeric) = 1.036391962974331395778721288576 absolute error = 5.325074304853295055970e-10 relative error = 5.1380891572209666852816164344527e-08 % h = 0.0001 y1[1] (analytic) = 1.9993375931433945980219602865055 y1[1] (numeric) = 1.9993375931401640529436472244813 absolute error = 3.2305450783130620242e-12 relative error = 1.6158077002063172472684691930530e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1228.3MB, alloc=4.6MB, time=67.59 NO POLE NO POLE x[1] = 0.0365 y2[1] (analytic) = 1.0364918960190119364302667083641 y2[1] (numeric) = 1.0364918965588743304406794315429 absolute error = 5.398623940104127231788e-10 relative error = 5.2085539316219627592210209739367e-08 % h = 0.0001 y1[1] (analytic) = 1.9993339489504685193994351985909 y1[1] (numeric) = 1.9993339489471843565025030272653 absolute error = 3.2841628969321713256e-12 relative error = 1.6426284856795242396858687520734e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1232.1MB, alloc=4.6MB, time=67.80 NO POLE NO POLE x[1] = 0.0366 y2[1] (analytic) = 1.036591829231280947681121402837 y2[1] (numeric) = 1.0365918297785793507291173404066 absolute error = 5.472984030479959375696e-10 relative error = 5.2797869673916224187439852385873e-08 % h = 0.0001 y1[1] (analytic) = 1.9993302947642029596000078218266 y1[1] (numeric) = 1.9993302947608644393413794551004 absolute error = 3.3385202586283667262e-12 relative error = 1.6698192726690539987532327571403e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1235.9MB, alloc=4.6MB, time=68.01 NO POLE NO POLE x[1] = 0.0367 y2[1] (analytic) = 1.0366917620776316669240985306577 y2[1] (numeric) = 1.036691762632447792474677679348 absolute error = 5.548161255505791486903e-10 relative error = 5.3517944855534819615498062024168e-08 % h = 0.0001 y1[1] (analytic) = 1.9993266305846344604863033026547 y1[1] (numeric) = 1.9993266305812408351849832377623 absolute error = 3.3936253013200648924e-12 relative error = 1.6973841339409937409853816342988e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1239.8MB, alloc=4.6MB, time=68.21 NO POLE NO POLE x[1] = 0.0368 y2[1] (analytic) = 1.0367916945570647656965236731158 y2[1] (numeric) = 1.0367916951194809988271860295756 absolute error = 5.624162331306623564598e-10 relative error = 5.4245827400357044638116129680791e-08 % h = 0.0001 y1[1] (analytic) = 1.9993229564117996638539760973825 y1[1] (numeric) = 1.9993229564083501776240722482253 absolute error = 3.4494862299038491572e-12 relative error = 1.7253271758028871480462514879999e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1243.6MB, alloc=4.6MB, time=68.42 NO POLE NO POLE x[1] = 0.0369 y2[1] (analytic) = 1.0368916266685809192048986131486 y2[1] (numeric) = 1.036891627238680320275644173944 absolute error = 5.700994010707455607954e-10 relative error = 5.4981580177516951675254327672416e-08 % h = 0.0001 y1[1] (analytic) = 1.9993192722457353114313435542262 y1[1] (numeric) = 1.9993192722422292001147225847061 absolute error = 3.5061113166209695201e-12 relative error = 1.7536525382875592905611427985876e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1247.4MB, alloc=4.6MB, time=68.63 NO POLE NO POLE x[1] = 0.037 y2[1] (analytic) = 1.0369915584111808063348945832681 y2[1] (numeric) = 1.0369915589890471146682233448807 absolute error = 5.778663083333287616126e-10 relative error = 5.5725266386806705513321084525853e-08 % h = 0.0001 y1[1] (analytic) = 1.9993155780864782448790184960284 y1[1] (numeric) = 1.9993155780829147359775936533809 absolute error = 3.5635089014248426475e-12 relative error = 1.7823643953374462742551414204976e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0371 y2[1] (analytic) = 1.0370914897838651096613454766958 y2[1] (numeric) = 1.0370914903695827472322574355206 absolute error = 5.857176375709119588248e-10 relative error = 5.6476949559481811177700748606697e-08 % h = 0.0001 memory used=1251.2MB, alloc=4.6MB, time=68.83 y1[1] (analytic) = 1.999311873934065405789540803652 y1[1] (numeric) = 1.9993118739304437183971912517794 absolute error = 3.6216873923495518726e-12 relative error = 1.8114669549894296337295119754536e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0372 y2[1] (analytic) = 1.0371914207856345154582410216059 y2[1] (numeric) = 1.0371914213792885905942361739497 absolute error = 5.936540751359951523438e-10 relative error = 5.7236693559065879298993288176291e-08 % h = 0.0001 y1[1] (analytic) = 1.9993081597885338356870080000547 y1[1] (numeric) = 1.9993081597848531804211286528601 absolute error = 3.6806552658793471946e-12 relative error = 1.8409644595601754996587072340592e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1255.0MB, alloc=4.6MB, time=69.05 NO POLE NO POLE x[1] = 0.0373 y2[1] (analytic) = 1.0372913514154897137087199183772 y2[1] (numeric) = 1.0372913520171660247997982604566 absolute error = 6.016763110910783420794e-10 relative error = 5.8004562582154929301903453973836e-08 % h = 0.0001 y1[1] (analytic) = 1.9993044356499206760267048350493 y1[1] (numeric) = 1.9993044356461802549593856897692 absolute error = 3.7404210673191452801e-12 relative error = 1.8708611858319785668118911705772e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1258.8MB, alloc=4.6MB, time=69.27 NO POLE NO POLE x[1] = 0.0374 y2[1] (analytic) = 1.0373912816724313981150629397535 y2[1] (numeric) = 1.0373912822822164373337244676928 absolute error = 6.097850392186615279393e-10 relative error = 5.8780621159221230745781654730542e-08 % h = 0.0001 y1[1] (analytic) = 1.9993007015182631681947318707504 y1[1] (numeric) = 1.9993007015144621747835658412883 absolute error = 3.8009934111660294621e-12 relative error = 1.9011614452391108866223036199325e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1262.6MB, alloc=4.6MB, time=69.47 NO POLE NO POLE x[1] = 0.0375 y2[1] (analytic) = 1.0374912115554602661086859938122 y2[1] (numeric) = 1.0374912121734412231399307036416 absolute error = 6.179809570312447098294e-10 relative error = 5.9564934155416683145497884872322e-08 % h = 0.0001 y1[1] (analytic) = 1.9992969573935986535076330677138 y1[1] (numeric) = 1.9992969573897362725261513179738 absolute error = 3.8623809814817497400e-12 relative error = 1.9318695840546755120998909001534e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1266.5MB, alloc=4.6MB, time=69.68 NO POLE NO POLE x[1] = 0.0376 y2[1] (analytic) = 1.037591141063577018860133149642 y2[1] (numeric) = 1.0375911416898417846414610372956 absolute error = 6.262647657813278876536e-10 relative error = 6.0357566771375734601019014506714e-08 % h = 0.0001 y1[1] (analytic) = 1.9992932032759645732120223717717 y1[1] (numeric) = 1.9992932032720399806797561489916 absolute error = 3.9245925322662227801e-12 relative error = 1.9629899835779650210026908587893e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1270.3MB, alloc=4.6MB, time=69.89 NO POLE NO POLE x[1] = 0.0377 y2[1] (analytic) = 1.0376910701957823612890696256293 y2[1] (numeric) = 1.0376910708304195317604806869426 absolute error = 6.346371704714110613133e-10 relative error = 6.1158584544017839563951330723019e-08 % h = 0.0001 y1[1] (analytic) = 1.9992894391653984684842093015666 y1[1] (numeric) = 1.9992894391614108315963772696512 absolute error = 3.9876368878320319154e-12 relative error = 1.9945270603223249429030647289941e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1274.1MB, alloc=4.6MB, time=70.09 NO POLE NO POLE x[1] = 0.0378 y2[1] (analytic) = 1.0377909989510770020742747402527 y2[1] (numeric) = 1.037790999594175881938268970961 absolute error = 6.430988798639942307083e-10 relative error = 6.1968053347349456069240401725855e-08 % h = 0.0001 y1[1] (analytic) = 1.9992856650619379804298235367887 y1[1] (numeric) = 1.9992856650578864574866436096432 absolute error = 4.0515229431799271455e-12 relative error = 2.0264852662035221168559524017929e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1277.9MB, alloc=4.6MB, time=70.30 x[1] = 0.0379 y2[1] (analytic) = 1.0378909273284616536636348252873 y2[1] (numeric) = 1.0378909279801122601552122210234 absolute error = 6.516506064915773957361e-10 relative error = 6.2786039393265582759553179267322e-08 % h = 0.0001 y1[1] (analytic) = 1.9992818809656208500834385071195 y1[1] (numeric) = 1.999281880961504590419063181983 absolute error = 4.1162596643753251365e-12 relative error = 2.0588690887286180059969120005259e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.038 y2[1] (analytic) = 1.0379908553269370322841361013175 y2[1] (numeric) = 1.0379908559872300989507966576094 absolute error = 6.602930666666605562919e-10 relative error = 6.3612609232350836030164042730093e-08 % h = 0.0001 y1[1] (analytic) = 1.9992780868764849184081939818869 y1[1] (numeric) = 1.9992780868723030623192681726656 absolute error = 4.1818560889258092213e-12 relative error = 2.0916830511853469957185380274045e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1281.7MB, alloc=4.6MB, time=70.51 NO POLE NO POLE x[1] = 0.0381 y2[1] (analytic) = 1.0380907829455038579518575154587 y2[1] (numeric) = 1.0380907836145308384436012277273 absolute error = 6.690269804917437122686e-10 relative error = 6.4447829754680067621663440563815e-08 % h = 0.0001 y1[1] (analytic) = 1.9992742827945681262954176604341 y1[1] (numeric) = 1.9992742827903198049692580310344 absolute error = 4.2483213261596293997e-12 relative error = 2.1249317128319997016444217377497e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1285.5MB, alloc=4.6MB, time=70.72 NO POLE NO POLE x[1] = 0.0382 y2[1] (analytic) = 1.0381907101831628544819635411879 y2[1] (numeric) = 1.0381907108610159263512904047452 absolute error = 6.778530718693268635573e-10 relative error = 6.5291768190618522987709689192592e-08 % h = 0.0001 y1[1] (analytic) = 1.999270468719908514564245763206 y1[1] (numeric) = 1.9992704687155928500066405608684 absolute error = 4.3156645576052023376e-12 relative error = 2.1586196690878113136405464170687e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1289.4MB, alloc=4.6MB, time=70.92 NO POLE NO POLE x[1] = 0.0383 y2[1] (analytic) = 1.0382906370389147494986969401845 y2[1] (numeric) = 1.0382906377256868180106069502306 absolute error = 6.867720685119100100461e-10 relative error = 6.6144492111621540764570827900117e-08 % h = 0.0001 y1[1] (analytic) = 1.999266644652544223961242623559 y1[1] (numeric) = 1.9992666446481603289238710121909 absolute error = 4.3838950373716113681e-12 relative error = 2.1927515517238550039254025945259e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1293.2MB, alloc=4.6MB, time=71.14 NO POLE NO POLE x[1] = 0.0384 y2[1] (analytic) = 1.0383905635117602744453714860787 y2[1] (numeric) = 1.0383905642075449763973646376999 absolute error = 6.957847019519931516212e-10 relative error = 6.7006069431033793669587238852440e-08 % h = 0.0001 y1[1] (analytic) = 1.999262810592513495160019280295 y1[1] (numeric) = 1.9992628105880604730674891738045 absolute error = 4.4530220925301064905e-12 relative error = 2.2273320290544404240096357771160e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1297.0MB, alloc=4.6MB, time=71.35 NO POLE NO POLE x[1] = 0.0385 y2[1] (analytic) = 1.0384904896007001645943646500106 y2[1] (numeric) = 1.0384904903055918721464409381769 absolute error = 7.048917075520762881663e-10 relative error = 6.7876568404888071154701816852013e-08 % h = 0.0001 y1[1] (analytic) = 1.999258966539854668760851070926 y1[1] (numeric) = 1.9992589665353316136373544665549 absolute error = 4.5230551234966043711e-12 relative error = 2.2623658061290173192182365551275e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1300.8MB, alloc=4.6MB, time=71.56 NO POLE NO POLE x[1] = 0.0386 y2[1] (analytic) = 1.0385904153047351590571102478977 y2[1] (numeric) = 1.0385904160188289835717696674604 absolute error = 7.140938245146594195627e-10 relative error = 6.8756057632703604141607861936760e-08 % h = 0.0001 y1[1] (analytic) = 1.9992551124946061852902942256716 y1[1] (numeric) = 1.9992551124900121816858790373289 absolute error = 4.5940036044151883427e-12 relative error = 2.2978576249245842861177766760170e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1304.6MB, alloc=4.6MB, time=71.77 NO POLE NO POLE x[1] = 0.0387 y2[1] (analytic) = 1.0386903406228660007940910493127 y2[1] (numeric) = 1.0386903413462577966863335950017 absolute error = 7.233917958922425456890e-10 relative error = 6.9644606058283932164514750377504e-08 % h = 0.0001 y1[1] (analytic) = 1.9992512484568065852008014621935 y1[1] (numeric) = 1.9992512484521407081172588537888 absolute error = 4.6658770835426084047e-12 relative error = 2.3338122645386027007428790082703e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1308.4MB, alloc=4.6MB, time=71.98 x[1] = 0.0388 y2[1] (analytic) = 1.0387902655540934366248313478698 y2[1] (numeric) = 1.0387902662868798052221570142914 absolute error = 7.327863685973256664216e-10 relative error = 7.0542282970514313246540106665098e-08 % h = 0.0001 y1[1] (analytic) = 1.9992473744264945088703365810719 y1[1] (numeric) = 1.9992473744217558236867027998485 absolute error = 4.7386851836337812234e-12 relative error = 2.3702345413824158444364669639378e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0389 y2[1] (analytic) = 1.0388901900974182172378894930216 y2[1] (numeric) = 1.0388901908396965106502982746557 absolute error = 7.422782934124087816341e-10 relative error = 7.1449158004158676835226039763840e-08 % h = 0.0001 y1[1] (analytic) = 1.9992434904037086966019880620252 y1[1] (numeric) = 1.9992434903988962589996597718938 absolute error = 4.8124376023282901314e-12 relative error = 2.4071293093751732538389834261377e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1312.2MB, alloc=4.6MB, time=72.19 NO POLE NO POLE x[1] = 0.039 y2[1] (analytic) = 1.038990114251841097200850383165 y2[1] (numeric) = 1.0389901150037094222008422743624 absolute error = 7.518683249999918911974e-10 relative error = 7.2365301140656120122820738356471e-08 % h = 0.0001 y1[1] (analytic) = 1.9992395963884879886235816608806 y1[1] (numeric) = 1.9992395963836008445110437757523 absolute error = 4.8871441125378851283e-12 relative error = 2.4445014601382603232831722909961e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1316.1MB, alloc=4.6MB, time=72.40 NO POLE NO POLE x[1] = 0.0391 y2[1] (analytic) = 1.039090038016362834970317919957 y2[1] (numeric) = 1.0390900387779200568828929149368 absolute error = 7.615572219125749949798e-10 relative error = 7.3290782708916948076513617608853e-08 % h = 0.0001 y1[1] (analytic) = 1.9992356923808713250872920072953 y1[1] (numeric) = 1.9992356923759085105244570244152 absolute error = 4.9628145628349828801e-12 relative error = 2.4823559231902331855209034694520e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1319.9MB, alloc=4.6MB, time=72.61 NO POLE NO POLE x[1] = 0.0392 y2[1] (analytic) = 1.0391899613899841929019074237401 y2[1] (numeric) = 1.0391899621613299395045655165872 absolute error = 7.713457466026580928471e-10 relative error = 7.4225673386118257503667398757652e-08 % h = 0.0001 y1[1] (analytic) = 1.9992317783808977460692532032353 y1[1] (numeric) = 1.9992317783758582871914110365157 absolute error = 5.0394588778421667196e-12 relative error = 2.5206976661422588992302355660969e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1323.7MB, alloc=4.6MB, time=72.81 NO POLE NO POLE x[1] = 0.0393 y2[1] (analytic) = 1.0392898843717059372602380099786 y2[1] (numeric) = 1.0392898851529406026929791946405 absolute error = 7.812346654327411846619e-10 relative error = 7.5170044198499065476801454329464e-08 % h = 0.0001 y1[1] (analytic) = 1.9992278543886063915691684222146 y1[1] (numeric) = 1.9992278543834893045105457355685 absolute error = 5.1170870586226866461e-12 relative error = 2.5595316948940609698209522959121e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1327.5MB, alloc=4.6MB, time=73.03 NO POLE NO POLE x[1] = 0.0394 y2[1] (analytic) = 1.0393898069605288382289249266031 y2[1] (numeric) = 1.0393898077517535869142491968875 absolute error = 7.912247486853242702844e-10 relative error = 7.6123966522154982443167140326113e-08 % h = 0.0001 y1[1] (analytic) = 1.9992239204040365015099185092984 y1[1] (numeric) = 1.9992239203988407923268465499725 absolute error = 5.1957091830719593259e-12 relative error = 2.5988630538303702317282169121696e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1331.3MB, alloc=4.6MB, time=73.24 NO POLE NO POLE x[1] = 0.0395 y2[1] (analytic) = 1.0394897291554536699205718521666 y2[1] (numeric) = 1.0394897299567704404934792017383 absolute error = 8.013167705729073495717e-10 relative error = 7.7087512083832430343034028520026e-08 % h = 0.0001 y1[1] (analytic) = 1.9992199764272274157371695818742 y1[1] (numeric) = 1.9992199764219520803308595137829 absolute error = 5.2753354063100680913e-12 relative error = 2.6386968260178811185540639425936e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1335.1MB, alloc=4.6MB, time=73.45 x[1] = 0.0396 y2[1] (analytic) = 1.0395896509554812103867631547102 y2[1] (numeric) = 1.0395896517669927196347535770881 absolute error = 8.115115092479904223779e-10 relative error = 7.8060752961722406061104368149582e-08 % h = 0.0001 y1[1] (analytic) = 1.9992160224582185740189796311964 y1[1] (numeric) = 1.9992160224528625980579043682543 absolute error = 5.3559759610752629421e-12 relative error = 2.6790381334027133506384733070164e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0397 y2[1] (analytic) = 1.0396895723596122416280561112386 y2[1] (numeric) = 1.0396895731814219884411295997928 absolute error = 8.218097468130734885542e-10 relative error = 7.9043761586253790534963297748113e-08 % h = 0.0001 y1[1] (analytic) = 1.9992120584970495160454041247049 y1[1] (numeric) = 1.999212058491611874887285664161 absolute error = 5.4376411581184605439e-12 relative error = 2.7198921370083790648607048247875e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1338.9MB, alloc=4.6MB, time=73.65 NO POLE NO POLE x[1] = 0.0398 y2[1] (analytic) = 1.0397894933668475496039730877062 y2[1] (numeric) = 1.0397894941990598189346296356552 absolute error = 8.322122693306565479490e-10 relative error = 8.0036610740886203844338003051044e-08 % h = 0.0001 y1[1] (analytic) = 1.9992080845437598814281006091259 y1[1] (numeric) = 1.9992080845382395400415018648962 absolute error = 5.5203413865987442297e-12 relative error = 2.7612640371342554176447592219837e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1342.8MB, alloc=4.6MB, time=73.86 NO POLE NO POLE x[1] = 0.0399 y2[1] (analytic) = 1.039889413976187924242993679414 y2[1] (numeric) = 1.0398894148189077910762332798212 absolute error = 8.427198668332396004072e-10 relative error = 8.1039373562902406604650912743302e-08 % h = 0.0001 y1[1] (analytic) = 1.999204100598389409699932314355 y1[1] (numeric) = 1.9992041005927853225854524503563 absolute error = 5.6040871144798639987e-12 relative error = 2.8031590735545626859111964042420e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1346.6MB, alloc=4.6MB, time=74.07 NO POLE NO POLE x[1] = 0.04 y2[1] (analytic) = 1.0399893341866341594525468117159 y2[1] (numeric) = 1.0399893350399674927858694574868 absolute error = 8.533333333333226457709e-10 relative error = 8.2052123544200247988429524109563e-08 % h = 0.0001 y1[1] (analytic) = 1.9992001066609779403145707581291 y1[1] (numeric) = 1.9992001066552890514256430216123 absolute error = 5.6888888889277365168e-12 relative error = 2.8455825257178478960904390948321e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1350.4MB, alloc=4.6MB, time=74.27 NO POLE NO POLE x[1] = 0.0401 y2[1] (analytic) = 1.0400892539971870531290028009366 y2[1] (numeric) = 1.0400892548612405199624084848153 absolute error = 8.640534668334056838787e-10 relative error = 8.3074934532084160697443686213989e-08 % h = 0.0001 y1[1] (analytic) = 1.9991961027315654126460973514901 y1[1] (numeric) = 1.9991961027257906553093884063735 absolute error = 5.7747573367089451166e-12 relative error = 2.8885397129469740080322082217883e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1354.2MB, alloc=4.6MB, time=74.48 NO POLE NO POLE x[1] = 0.0402 y2[1] (analytic) = 1.0401891734068474071676653753991 y2[1] (numeric) = 1.0401891742817284765036540899654 absolute error = 8.748810693359887145663e-10 relative error = 8.4107880730056203208759400693765e-08 % h = 0.0001 y1[1] (analytic) = 1.9991920888101918659886040050443 y1[1] (numeric) = 1.9991920888043301628240137652468 absolute error = 5.8617031645902397975e-12 relative error = 2.9320359946396146821171183279410e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1358.0MB, alloc=4.6MB, time=74.69 NO POLE NO POLE x[1] = 0.0403 y2[1] (analytic) = 1.0402890924146160274727636564637 y2[1] (numeric) = 1.0402890933004329743263353941295 absolute error = 8.858169468535717376658e-10 relative error = 8.5151036698606649617177951759814e-08 % h = 0.0001 y1[1] (analytic) = 1.9991880648968974395557927360219 y1[1] (numeric) = 1.9991880648909477023960536987965 absolute error = 5.9497371597390372254e-12 relative error = 2.9760767704692546573970805873476e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1361.8MB, alloc=4.6MB, time=74.90 NO POLE NO POLE x[1] = 0.0404 y2[1] (analytic) = 1.0403890110194937239674440994772 y2[1] (numeric) = 1.0403890119163556333860988524833 absolute error = 8.968619094186547530061e-10 relative error = 8.6204477356004127396799532503989e-08 % h = 0.0001 y1[1] (analytic) = 1.9991840309917223724805742761401 y1[1] (numeric) = 1.9991840309856835022904493554074 absolute error = 6.0388701901249207327e-12 relative error = 3.0206674805866957692622439726682e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1365.6MB, alloc=4.6MB, time=75.10 x[1] = 0.0405 y2[1] (analytic) = 1.0404889292204813106037623945332 y2[1] (numeric) = 1.0404889301284980816975001549458 absolute error = 9.080167710937377604126e-10 relative error = 8.7268277979085303403836423928287e-08 % h = 0.0001 y1[1] (analytic) = 1.9991799870947070038146656802748 y1[1] (numeric) = 1.999179987088577890609743539956 absolute error = 6.1291132049221403188e-12 relative error = 3.0658136058220686349529545393256e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0406 y2[1] (analytic) = 1.0405888470165796053726753269431 y2[1] (numeric) = 1.0405888479358619553539960866503 absolute error = 9.192823499813207597072e-10 relative error = 8.8342514204044118442859866390319e-08 % h = 0.0001 y1[1] (analytic) = 1.9991759332058917725281869359432 y1[1] (numeric) = 1.9991759331996712952932738232938 absolute error = 6.2204772349131126494e-12 relative error = 3.1115206678873500343556734070322e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1369.5MB, alloc=4.6MB, time=75.31 NO POLE NO POLE x[1] = 0.0407 y2[1] (analytic) = 1.0406887644067894303140325973184 y2[1] (numeric) = 1.0406887653374488985479363480266 absolute error = 9.306594682339037507082e-10 relative error = 8.9427262027220570718320183754515e-08 % h = 0.0001 y1[1] (analytic) = 1.9991718693253172175092565736034 y1[1] (numeric) = 1.9991718693190042441163636525462 absolute error = 6.3129733928929210572e-12 relative error = 3.1577942295793860157435256464633e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1373.3MB, alloc=4.6MB, time=75.52 NO POLE NO POLE x[1] = 0.0408 y2[1] (analytic) = 1.0407886813901116115265686011635 y2[1] (numeric) = 1.040788682332260563590555334394 absolute error = 9.421489520639867332305e-10 relative error = 9.0522597805889048493046784301824e-08 % h = 0.0001 y1[1] (analytic) = 1.9991677954530239775635862777731 y1[1] (numeric) = 1.999167795446617364689511462232 absolute error = 6.4066128740748155411e-12 relative error = 3.2046398949834207534418877086776e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1377.1MB, alloc=4.6MB, time=75.72 NO POLE NO POLE x[1] = 0.0409 y2[1] (analytic) = 1.0408885979655469791778941678806 y2[1] (numeric) = 1.0408885989192986109319638749657 absolute error = 9.537516317540697070851e-10 relative error = 9.1628598259046212275090450505757e-08 % h = 0.0001 y1[1] (analytic) = 1.9991637115890527914140744989734 y1[1] (numeric) = 1.9991637115825513844575777862063 absolute error = 6.5014069564967127671e-12 relative error = 3.2520633096771311875215366389436e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1380.9MB, alloc=4.6MB, time=75.93 NO POLE NO POLE x[1] = 0.041 y2[1] (analytic) = 1.0409885141320963675144882590847 y2[1] (numeric) = 1.0409885150975647091811409311641 absolute error = 9.654683416666526720794e-10 relative error = 9.2745340468198426854301026439308e-08 % h = 0.0001 y1[1] (analytic) = 1.9991596177334444977003990664996 y1[1] (numeric) = 1.9991596177268471306989703704319 absolute error = 6.5973670014286960677e-12 relative error = 3.3000701609351674724914328756300e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1384.7MB, alloc=4.6MB, time=76.14 NO POLE NO POLE x[1] = 0.0411 y2[1] (analytic) = 1.0410884298887606148716896261309 y2[1] (numeric) = 1.0410884308660605351259252541477 absolute error = 9.772999202542356280168e-10 relative error = 9.3872901878148743509535955848329e-08 % h = 0.0001 y1[1] (analytic) = 1.9991555138862400349786088020251 y1[1] (numeric) = 1.9991555138795455305248272865832 absolute error = 6.6945044537815154419e-12 relative error = 3.3486661779341992646851735926621e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1388.5MB, alloc=4.6MB, time=76.34 NO POLE NO POLE x[1] = 0.0412 y2[1] (analytic) = 1.0411883452345405636836884267524 y2[1] (numeric) = 1.0411883462237877737530070014496 absolute error = 9.892472100693185746972e-10 relative error = 9.5011360297783432707483734458358e-08 % h = 0.0001 y1[1] (analytic) = 1.999151400047480441720714134041 y1[1] (numeric) = 1.9991514000406876108781980464856 absolute error = 6.7928308425160875554e-12 relative error = 3.3978571319584678768555163411176e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1392.4MB, alloc=4.6MB, time=76.55 x[1] = 0.0413 y2[1] (analytic) = 1.0412882601684370604935178007105 y2[1] (numeric) = 1.0412882611697481182679193126267 absolute error = 1.0013110577744015119162e-09 relative error = 9.6160793900858067613512200832238e-08 % h = 0.0001 y1[1] (analytic) = 1.9991472762172068563142767131368 y1[1] (numeric) = 1.999147276210314498533222717396 absolute error = 6.8923577810539957408e-12 relative error = 3.4476488366058443286622926612874e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0414 y2[1] (analytic) = 1.0413881746894509559630454043556 y2[1] (numeric) = 1.0413881757029432701150298438213 absolute error = 1.0134923141519844394657e-09 relative error = 9.7321281226783158735213337462615e-08 % h = 0.0001 y1[1] (analytic) = 1.9991431423954605170619980281244 y1[1] (numeric) = 1.9991431423884674200943090381274 absolute error = 6.9930969676889899970e-12 relative error = 3.4980471479943933215097859553433e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1396.2MB, alloc=4.6MB, time=76.75 NO POLE NO POLE x[1] = 0.0415 y2[1] (analytic) = 1.0414880887965831048829649040008 y2[1] (numeric) = 1.041488089822374938997532261134 absolute error = 1.0257918341145673571332e-09 relative error = 9.8492901181409340018588773141107e-08 % h = 0.0001 y1[1] (analytic) = 1.9991389985822827621813070230121 y1[1] (numeric) = 1.9991389985751877019953075360225 absolute error = 7.0950601859994869896e-12 relative error = 3.5490579649694431675610903432861e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1400.0MB, alloc=4.6MB, time=76.96 NO POLE NO POLE x[1] = 0.0416 y2[1] (analytic) = 1.0415880024888343661827874280059 y2[1] (numeric) = 1.0415880035270448428974376927083 absolute error = 1.0382104767146502647024e-09 relative error = 9.9675733037812106717120570201449e-08 % h = 0.0001 y1[1] (analytic) = 1.9991348447777150298039467148304 y1[1] (numeric) = 1.9991348447705167704986846447793 absolute error = 7.1982593052620700511e-12 relative error = 3.6006872293111617013272265081345e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1403.8MB, alloc=4.6MB, time=77.17 NO POLE NO POLE x[1] = 0.0417 y2[1] (analytic) = 1.0416879157652056029408329774746 y2[1] (numeric) = 1.0416879168159547080955661394271 absolute error = 1.0507491051547331619525e-09 relative error = 1.0086985643707610535326400164123e-07 % h = 0.0001 y1[1] (analytic) = 1.9991306809817988579755598123148 y1[1] (numeric) = 1.9991306809744961516946938231344 absolute error = 7.3027062808659891804e-12 relative error = 3.6529409259426382026498306758837e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1407.6MB, alloc=4.6MB, time=77.37 NO POLE NO POLE x[1] = 0.0418 y2[1] (analytic) = 1.0417878286246976823942217954625 y2[1] (numeric) = 1.0417878296881062691915378441212 absolute error = 1.0634085867973160486587e-09 relative error = 1.0207535138907897609218040818117e-07 % h = 0.0001 y1[1] (analytic) = 1.9991265071945758846552733354499 y1[1] (numeric) = 1.9991265071871674715005446744067 absolute error = 7.4084131547286610432e-12 relative error = 3.7058250831384713610175897075929e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1411.4MB, alloc=4.6MB, time=77.58 NO POLE NO POLE x[1] = 0.0419 y2[1] (analytic) = 1.0418877410663114759488656945979 y2[1] (numeric) = 1.0418877421425012691237646191895 absolute error = 1.0761897931748989245916e-09 relative error = 1.0329229827327474784685913685430e-07 % h = 0.0001 y1[1] (analytic) = 1.9991223234160878477152822358784 y1[1] (numeric) = 1.9991223234085724556595700669067 absolute error = 7.5153920557121689717e-12 relative error = 3.7593457727338633096268127969596e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1415.2MB, alloc=4.6MB, time=77.79 NO POLE NO POLE x[1] = 0.042 y2[1] (analytic) = 1.0419876530890478591894593430143 y2[1] (numeric) = 1.0419876541781414591894411325317 absolute error = 1.0890935999999817895174e-09 relative error = 1.0452077783947678643397275321365e-07 % h = 0.0001 y1[1] (analytic) = 1.9991181296463765849404320181795 y1[1] (numeric) = 1.9991181296387529297403912552147 absolute error = 7.6236552000407629648e-12 relative error = 3.8135091103342197590680454805934e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1419.1MB, alloc=4.6MB, time=78.00 NO POLE NO POLE x[1] = 0.0421 y2[1] (analytic) = 1.0420875646919077118894715084948 y2[1] (numeric) = 1.0420875657940285990645361516929 absolute error = 1.1021208871750646431981e-09 relative error = 1.0576087120864029609934257659932e-07 % h = 0.0001 y1[1] (analytic) = 1.9991139258854840340278003620207 y1[1] (numeric) = 1.9991139258777508191360810023327 absolute error = 7.7332148917193596880e-12 relative error = 3.8683212555252562595911138816451e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1422.9MB, alloc=4.6MB, time=78.20 x[1] = 0.0422 y2[1] (analytic) = 1.0421874758738919180211362607296 y2[1] (numeric) = 1.0421874769891644568237837461203 absolute error = 1.1152725388026474853907e-09 relative error = 1.0701265987364437473166469615784e-07 % h = 0.0001 y1[1] (analytic) = 1.9991097121334522325862777451876 y1[1] (numeric) = 1.999109712125608149063324702714 absolute error = 7.8440835229530424736e-12 relative error = 3.9237884120836106216722119396563e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0423 y2[1] (analytic) = 1.042287386634001365765444131585 y2[1] (numeric) = 1.0422873877625508089606744474328 absolute error = 1.1285494431952303158478e-09 relative error = 1.0827622570007362308326529129886e-07 % h = 0.0001 y1[1] (analytic) = 1.9991054883903233181361470674952 y1[1] (numeric) = 1.9991054883823670445615795061748 absolute error = 7.9562735745675613204e-12 relative error = 3.9799168281879615239772604362298e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1426.7MB, alloc=4.6MB, time=78.40 NO POLE NO POLE x[1] = 0.0424 y2[1] (analytic) = 1.0423872969712369475221332332851 y2[1] (numeric) = 1.0423872981131894404074463676024 absolute error = 1.1419524928853131343173e-09 relative error = 1.0955165092699930831599554932587e-07 % h = 0.0001 y1[1] (analytic) = 1.9991012546561395281086622755855 y1[1] (numeric) = 1.9991012546480697304922314426915 absolute error = 8.0697976164308328940e-12 relative error = 4.0367127966306533388371156159341e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1430.5MB, alloc=4.6MB, time=78.61 NO POLE NO POLE x[1] = 0.0425 y2[1] (analytic) = 1.0424872068845995599196803344065 y2[1] (numeric) = 1.0424872080400821445550762749485 absolute error = 1.1554825846353959405420e-09 relative error = 1.1083901816776008219046668855013e-07 % h = 0.0001 y1[1] (analytic) = 1.9990970109309431998456259886149 y1[1] (numeric) = 1.9990970109227585315377505480886 absolute error = 8.1846683078754405263e-12 relative error = 4.0941826550298272041705829808142e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1434.3MB, alloc=4.6MB, time=78.82 NO POLE NO POLE x[1] = 0.0426 y2[1] (analytic) = 1.0425871163730901038252918935847 y2[1] (numeric) = 1.0425871175422307232732706278449 absolute error = 1.1691406194479787342602e-09 relative error = 1.1213841041074225421664713819118e-07 % h = 0.0001 y1[1] (analytic) = 1.9990927572147767705989661248374 y1[1] (numeric) = 1.9990927572064758722008439906212 absolute error = 8.3008983981221342162e-12 relative error = 4.1523327860420583725628890069049e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1438.1MB, alloc=4.6MB, time=79.02 NO POLE NO POLE x[1] = 0.0427 y2[1] (analytic) = 1.0426870254357094843548950508341 y2[1] (numeric) = 1.0426870266186369869304565660391 absolute error = 1.1829275025755615152050e-09 relative error = 1.1344991102015962008331073880702e-07 % h = 0.0001 y1[1] (analytic) = 1.9990884935076827775303115290848 y1[1] (numeric) = 1.9990884934992642768036071984557 absolute error = 8.4185007267043306291e-12 relative error = 4.2111696175754998660772194348751e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1441.9MB, alloc=4.6MB, time=79.23 NO POLE NO POLE x[1] = 0.0428 y2[1] (analytic) = 1.0427869340714586108831285763802 y2[1] (numeric) = 1.0427869352683027544137728594847 absolute error = 1.1968441435306442831045e-09 relative error = 1.1477360373683284568404965243930e-07 % h = 0.0001 y1[1] (analytic) = 1.9990842198097038577105666011511 y1[1] (numeric) = 1.9990842198011663694866729880542 absolute error = 8.5374882238936130969e-12 relative error = 4.2706996230035324674987979187217e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1445.8MB, alloc=4.6MB, time=79.44 NO POLE NO POLE x[1] = 0.0429 y2[1] (analytic) = 1.042886842279338397053333776905 y2[1] (numeric) = 1.0428868434902298531490608145866 absolute error = 1.2108914560957270376816e-09 relative error = 1.1610957267896840705702316983807e-07 % h = 0.0001 y1[1] (analytic) = 1.9990799361208827481194849250841 y1[1] (numeric) = 1.9990799361122248742083586934656 absolute error = 8.6578739111262316185e-12 relative error = 4.3309293213789210779315530608752e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1449.6MB, alloc=4.6MB, time=79.65 x[1] = 0.043 y2[1] (analytic) = 1.0429867500583497607875453591051 y2[1] (numeric) = 1.0429867512834201191208551377592 absolute error = 1.2250703583333097786541e-09 relative error = 1.1745790234293708655559886779384e-07 % h = 0.0001 y1[1] (analytic) = 1.9990756424412622856452418993877 y1[1] (numeric) = 1.9990756424324826147438112965286 absolute error = 8.7796709014306028591e-12 relative error = 4.3918652776484774698879843143331e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0431 y2[1] (analytic) = 1.0430866574074936242964822504633 y2[1] (numeric) = 1.0430866586468753968923747561976 absolute error = 1.2393817725958925057343e-09 relative error = 1.1881867760405202556669227347251e-07 % h = 0.0001 y1[1] (analytic) = 1.9990713387708854070840063681409 y1[1] (numeric) = 1.9990713387619825146841505579902 absolute error = 8.9028923998558101507e-12 relative error = 4.4535141028682294671347348958950e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1453.4MB, alloc=4.6MB, time=79.85 NO POLE NO POLE x[1] = 0.0432 y2[1] (analytic) = 1.0431865643257709140895383771328 y2[1] (numeric) = 1.043186565579597539625513595762 absolute error = 1.2538266255359752186292e-09 relative error = 1.2019198371734633409358709102522e-07 % h = 0.0001 y1[1] (analytic) = 1.9990670251097951491395112530362 y1[1] (numeric) = 1.9990670251007675974356101495443 absolute error = 9.0275517039011034919e-12 relative error = 4.5158824544190965804763615480682e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1457.2MB, alloc=4.6MB, time=80.06 NO POLE NO POLE x[1] = 0.0433 y2[1] (analytic) = 1.043286470812182560984773398835 y2[1] (numeric) = 1.0432864720805884091008313158754 absolute error = 1.2684058481160579170404e-09 relative error = 1.2157790631835025751962011435142e-07 % h = 0.0001 y1[1] (analytic) = 1.9990627014580346484226231863428 y1[1] (numeric) = 1.9990627014488809862186767867949 absolute error = 9.1536622039463995479e-12 relative error = 4.5789770362230721301314000366402e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1461.0MB, alloc=4.6MB, time=80.27 NO POLE NO POLE x[1] = 0.0434 y2[1] (analytic) = 1.0433863768657295001189034006708 y2[1] (numeric) = 1.0433863781488498757375440013346 absolute error = 1.2831203756186406006638e-09 relative error = 1.2297653142386790086900485494324e-07 % h = 0.0001 y1[1] (analytic) = 1.9990583678156471414509111447982 y1[1] (numeric) = 1.9990583678063659040672273631478 absolute error = 9.2812373836837816504e-12 relative error = 4.6428045989599118848255239366599e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1464.8MB, alloc=4.6MB, time=80.47 NO POLE NO POLE x[1] = 0.0435 y2[1] (analytic) = 1.0434862824854126709572915417448 y2[1] (numeric) = 1.0434862837833838186135148109346 absolute error = 1.2979711476562232691898e-09 relative error = 1.2438794543275351088091954885290e-07 % h = 0.0001 y1[1] (analytic) = 1.9990540241826759646482140844332 y1[1] (numeric) = 1.9990540241732656738276640846349 absolute error = 9.4102908205499997983e-12 relative error = 4.7073719402843292483978536680595e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1468.6MB, alloc=4.6MB, time=80.68 NO POLE NO POLE x[1] = 0.0436 y2[1] (analytic) = 1.0435861876702330173039386605035 y2[1] (numeric) = 1.0435861889831921254852445828064 absolute error = 1.3129591081813059223029e-09 relative error = 1.2581223512668731621260696182426e-07 % h = 0.0001 y1[1] (analytic) = 1.9990496705591645543442075763331 y1[1] (numeric) = 1.9990496705496237181580476056767 absolute error = 9.5408361861599706564e-12 relative error = 4.7726859050436970229365837396548e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1472.5MB, alloc=4.6MB, time=80.89 NO POLE NO POLE x[1] = 0.0437 y2[1] (analytic) = 1.043686092419191487311473836687 y2[1] (numeric) = 1.0436860937472766928078623963688 absolute error = 1.3280852054963885596818e-09 relative error = 1.2724948767095092608723871779652e-07 % h = 0.0001 y1[1] (analytic) = 1.9990453069451564467739694433422 y1[1] (numeric) = 1.9990453069354835595272281657856 absolute error = 9.6728872467412775566e-12 relative error = 4.8387533854962557811828021046901e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1476.3MB, alloc=4.6MB, time=81.10 NO POLE NO POLE x[1] = 0.0438 y2[1] (analytic) = 1.0437859967312890334911449097943 y2[1] (numeric) = 1.0437859980746394257551160907936 absolute error = 1.3433503922639711809993e-09 relative error = 1.2869979061520228770191892560592e-07 % h = 0.0001 y1[1] (analytic) = 1.9990409333406952780775443977128 y1[1] (numeric) = 1.9990409333308888202139747272155 absolute error = 9.8064578635696704973e-12 relative error = 4.9055813215298288766102956114814e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0439 memory used=1480.1MB, alloc=4.6MB, time=81.30 y2[1] (analytic) = 1.0438859006055266127228089539627 y2[1] (numeric) = 1.0438859019642822382393627398846 absolute error = 1.3587556255165537859219e-09 relative error = 1.3016323189425020271105413243169e-07 % h = 0.0001 y1[1] (analytic) = 1.9990365497458247842995076797053 y1[1] (numeric) = 1.9990365497358832223061021135617 absolute error = 9.9415619934055661436e-12 relative error = 4.9731767008810441231117570941122e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.044 y2[1] (analytic) = 1.0439858040409051862649227091604 y2[1] (numeric) = 1.0439858054152070529315590832708 absolute error = 1.3743018666666363741104e-09 relative error = 1.3163989982882840310024561130224e-07 % h = 0.0001 y1[1] (analytic) = 1.9990321561605888013885276971428 y1[1] (numeric) = 1.9990321561505105876995961493157 absolute error = 1.00782136889315478271e-11 relative error = 5.0415465593550621743919134622412e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1483.9MB, alloc=4.6MB, time=81.51 NO POLE NO POLE x[1] = 0.0441 y2[1] (analytic) = 1.0440857070364257197645329685943 y2[1] (numeric) = 1.0440857084264158012812519138132 absolute error = 1.3899900815167189452189e-09 relative error = 1.3312988312636918676528137719006e-07 % h = 0.0001 y1[1] (analytic) = 1.9990277525850312651969276659249 y1[1] (numeric) = 1.9990277525748148380977368003787 absolute error = 1.02164270991908655462e-11 relative error = 5.1106979810458116342895998834464e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1487.7MB, alloc=4.6MB, time=81.72 NO POLE NO POLE x[1] = 0.0442 y2[1] (analytic) = 1.0441856095910891832672669222306 y2[1] (numeric) = 1.0441856109969104235365684211262 absolute error = 1.4058212402693014988956e-09 relative error = 1.3463327088177661311117528744758e-07 % h = 0.0001 y1[1] (analytic) = 1.9990233390191962114802462515046 y1[1] (numeric) = 1.9990233390088399950102193155388 absolute error = 1.03562164700269359658e-11 relative error = 5.1806380985567309283213347067360e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1491.5MB, alloc=4.6MB, time=81.92 NO POLE NO POLE x[1] = 0.0443 y2[1] (analytic) = 1.0442855117038965512273224563306 y2[1] (numeric) = 1.0442855131256928687642064911125 absolute error = 1.4217963175368840347819e-09 relative error = 1.3615015257819925898533489917932e-07 % h = 0.0001 y1[1] (analytic) = 1.9990189154631277758967972113333 y1[1] (numeric) = 1.999018915452630179752273368916 absolute error = 1.04975961445238424173e-11 relative error = 5.2513740932220169678104456846604e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1495.4MB, alloc=4.6MB, time=82.14 NO POLE NO POLE x[1] = 0.0444 y2[1] (analytic) = 1.0443854133738488025174584089001 y2[1] (numeric) = 1.044385414811765094869424961413 absolute error = 1.4379162923519665525129e-09 relative error = 1.3768061808780253525936741306116e-07 % h = 0.0001 y1[1] (analytic) = 1.9990144819168701940072280382784 y1[1] (numeric) = 1.9990144819062296134437802033793 absolute error = 1.06405805634478348991e-11 relative error = 5.3229131953283806376866529215953e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1499.2MB, alloc=4.6MB, time=82.34 NO POLE NO POLE x[1] = 0.0445 y2[1] (analytic) = 1.0444853145999469204389847809538 y2[1] (numeric) = 1.0444853160541290686160338326707 absolute error = 1.4541821481770490517169e-09 relative error = 1.3922475767254056437330182516951e-07 % h = 0.0001 y1[1] (analytic) = 1.9990100383804678012740776050168 y1[1] (numeric) = 1.9990100383696826170083877749408 absolute error = 1.07851842656898300760e-11 relative error = 5.3952626843373091382115942005929e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1503.0MB, alloc=4.6MB, time=82.55 NO POLE NO POLE x[1] = 0.0446 y2[1] (analytic) = 1.0445852153811918927317529034937 y2[1] (numeric) = 1.0445852168517867656463844355092 absolute error = 1.4705948729146315320155e-09 relative error = 1.4078266198492761915618425032156e-07 % h = 0.0001 y1[1] (analytic) = 1.9990055848539650330613328094099 y1[1] (numeric) = 1.9990055848430336111726238981305 absolute error = 1.09314218887089112794e-11 relative error = 5.4684298891078352127076634488588e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1506.8MB, alloc=4.6MB, time=82.76 x[1] = 0.0447 y2[1] (analytic) = 1.0446851157165847115841455601021 y2[1] (numeric) = 1.0446851172037401705013595531256 absolute error = 1.4871554589172139930235e-09 relative error = 1.4235442206880912323656941230465e-07 % h = 0.0001 y1[1] (analytic) = 1.9990011213374064246339842208644 y1[1] (numeric) = 1.999001121326327116465007392357 absolute error = 1.10793081689768285074e-11 relative error = 5.5424221881198132920378839051932e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0448 y2[1] (analytic) = 1.0447850156051263736430670650499 y2[1] (numeric) = 1.0447850171089912766403634993984 absolute error = 1.5038649029972964343485e-09 relative error = 1.4394012936013221335629438215164e-07 % h = 0.0001 y1[1] (analytic) = 1.9989966478308366111575807276825 y1[1] (numeric) = 1.9989966478196077532151572292577 absolute error = 1.12288579424234984248e-11 relative error = 5.6172470096977025871057935679882e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1510.6MB, alloc=4.6MB, time=82.97 NO POLE NO POLE x[1] = 0.0449 y2[1] (analytic) = 1.0448849150458178800239332968186 y2[1] (numeric) = 1.0448849165665420864613121524101 absolute error = 1.5207242064373788555915e-09 relative error = 1.4553987568771586390085081095263e-07 % h = 0.0001 y1[1] (analytic) = 1.9989921643343003276977831854067 y1[1] (numeric) = 1.9989921643229202415528996810439 absolute error = 1.13800861448835043628e-11 relative error = 5.6929118322348571606153129261950e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1514.4MB, alloc=4.6MB, time=83.18 NO POLE NO POLE x[1] = 0.045 y2[1] (analytic) = 1.0449848140376602363206616869384 y2[1] (numeric) = 1.0449848155753946113206229432842 absolute error = 1.5377343749999612563458e-09 relative error = 1.4715375327402057395908534394422e-07 % h = 0.0001 y1[1] (analytic) = 1.998987670847842409219917066164 y1[1] (numeric) = 1.9989876708363094014073734698444 absolute error = 1.15330078125435963196e-11 relative error = 5.7694241844183230101019652188661e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1518.2MB, alloc=4.6MB, time=83.39 NO POLE NO POLE x[1] = 0.0451 y2[1] (analytic) = 1.0450847125796544526156611640405 y2[1] (numeric) = 1.0450847141345508715532048002382 absolute error = 1.5548964189375436361977e-09 relative error = 1.4878185473591761722534781371414e-07 % h = 0.0001 y1[1] (analytic) = 1.9989831673715077905885241090124 y1[1] (numeric) = 1.9989831673598201525061329180529 absolute error = 1.16876380823911909595e-11 relative error = 5.8467916454541421925169669245095e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1522.1MB, alloc=4.6MB, time=83.60 NO POLE NO POLE x[1] = 0.0452 y2[1] (analytic) = 1.0451846106708015434898220530245 y2[1] (numeric) = 1.0451846122430128964924480477505 absolute error = 1.5722113530026259947260e-09 relative error = 1.5042427308545785505638125852166e-07 % h = 0.0001 y1[1] (analytic) = 1.9989786539053415065669129712966 y1[1] (numeric) = 1.9989786538934975143742490996826 absolute error = 1.18439921926638716140e-11 relative error = 5.9250218452931640236682488134578e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1525.9MB, alloc=4.6MB, time=83.83 NO POLE NO POLE x[1] = 0.0453 y2[1] (analytic) = 1.0452845083101025280325059292415 y2[1] (numeric) = 1.0452845098997827244902142607434 absolute error = 1.5896801964577083315019e-09 relative error = 1.5208110173064011299548485068533e-07 % h = 0.0001 y1[1] (analytic) = 1.9989741304493886918167088810145 y1[1] (numeric) = 1.9989741304373866063334089927337 absolute error = 1.20020854832998882808e-11 relative error = 6.0041224648573633820916110746580e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1529.7MB, alloc=4.6MB, time=84.03 NO POLE NO POLE x[1] = 0.0454 y2[1] (analytic) = 1.0453844054965584298515354275918 y2[1] (numeric) = 1.0453844071038624029368260736808 absolute error = 1.6073039730852906460890e-09 relative error = 1.5375243447617912107609584311802e-07 % h = 0.0001 y1[1] (analytic) = 1.998969597003694580897402290202 y1[1] (numeric) = 1.9989695969915326475010126325776 absolute error = 1.21619333963896576244e-11 relative error = 6.0841012362666661508982557663811e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1533.5MB, alloc=4.6MB, time=84.24 NO POLE NO POLE x[1] = 0.0455 y2[1] (analytic) = 1.0454843022291702770831840064387 y2[1] (numeric) = 1.0454843038542539882810569444819 absolute error = 1.6250837111978729380432e-09 relative error = 1.5543836552427301821674326411173e-07 % h = 0.0001 y1[1] (analytic) = 1.9989650535683045082658965293381 y1[1] (numeric) = 1.9989650535559809567892682663621 absolute error = 1.23235514766282629760e-11 relative error = 6.1649659430662818282144913748416e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0456 y2[1] (analytic) = 1.0455841985069391024021656662372 y2[1] (numeric) = 1.0455842001499595460501208731495 absolute error = 1.6430204436479552069123e-09 relative error = 1.5713898947537042101912328370613e-07 % h = 0.0001 y1[1] (analytic) = 1.9989605001432639082760544627761 y1[1] (numeric) = 1.998960500130776952904285508443 absolute error = 1.24869553717689543331e-11 relative error = 6.2467244204545433382511614566710e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1537.3MB, alloc=4.6MB, time=84.44 NO POLE NO POLE x[1] = 0.0457 y2[1] (analytic) = 1.0456840943288659430316246227785 y2[1] (numeric) = 1.045684095989981150869662075015 absolute error = 1.6611152078380374522365e-09 relative error = 1.5885440132893705728097739521599e-07 % h = 0.0001 y1[1] (analytic) = 1.9989559367286183151782441452059 y1[1] (numeric) = 1.9989559367159661543451664968458 absolute error = 1.26521608330776483601e-11 relative error = 6.3293845555112540755616687851547e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1541.1MB, alloc=4.6MB, time=84.65 NO POLE NO POLE x[1] = 0.0458 y2[1] (analytic) = 1.0457839896939518407531249349506 y2[1] (numeric) = 1.045783991373320886483744608498 absolute error = 1.6793690457306196735474e-09 relative error = 1.6058469648422196453490769368515e-07 % h = 0.0001 y1[1] (analytic) = 1.9989513633244133631188834791502 y1[1] (numeric) = 1.9989513633115941794030950507622 absolute error = 1.28191837157884283880e-11 relative error = 6.4129542874265422135177245469233e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1544.9MB, alloc=4.6MB, time=84.86 NO POLE NO POLE x[1] = 0.0459 y2[1] (analytic) = 1.0458838846011978419166400869138 y2[1] (numeric) = 1.0458838862989808457748419572824 absolute error = 1.6977830038582018703686e-09 relative error = 1.6232997074102325392458718784597e-07 % h = 0.0001 y1[1] (analytic) = 1.9989467799306947861399838735008 y1[1] (numeric) = 1.9989467799177067461604238290865 absolute error = 1.29880399795600444143e-11 relative error = 6.4974416077302223096038154989496e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1548.8MB, alloc=4.6MB, time=85.07 NO POLE NO POLE x[1] = 0.046 y2[1] (analytic) = 1.0459837790496049974505425245932 y2[1] (numeric) = 1.0459837807659631307838265668084 absolute error = 1.7163581333332840422152e-09 relative error = 1.6409032030045343972906610519639e-07 % h = 0.0001 y1[1] (analytic) = 1.9989421865475084181786929030993 y1[1] (numeric) = 1.9989421865343496724897594899959 absolute error = 1.31587456889334131034e-11 relative error = 6.5828545605216642398022755847920e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1552.6MB, alloc=4.6MB, time=85.27 NO POLE NO POLE x[1] = 0.0461 y2[1] (analytic) = 1.0460836730381743628715931463861 y2[1] (numeric) = 1.04608367477326985272995933498 absolute error = 1.7350954898583661885939e-09 relative error = 1.6586584176570433484609385795668e-07 % h = 0.0001 y1[1] (analytic) = 1.9989375831749001930668359693652 y1[1] (numeric) = 1.9989375831615688760530458515793 absolute error = 1.33313170137901177859e-11 relative error = 6.6692012427001694934614464070104e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1556.4MB, alloc=4.6MB, time=85.48 NO POLE NO POLE x[1] = 0.0462 y2[1] (analytic) = 1.0461835665659069982949307479865 y2[1] (numeric) = 1.0461835683199031320308790569891 absolute error = 1.7539961337359483090026e-09 relative error = 1.6765663214281151254490661128689e-07 % h = 0.0001 y1[1] (analytic) = 1.9989329698129161445304569619788 y1[1] (numeric) = 1.9989329697994103743006450535195 absolute error = 1.35057702298119084593e-11 relative error = 6.7564898041958548621615953693810e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1560.2MB, alloc=4.6MB, time=85.69 NO POLE NO POLE x[1] = 0.0463 y2[1] (analytic) = 1.0462834596318039684440614212252 y2[1] (numeric) = 1.0462834614048650983225918241557 absolute error = 1.7730611298785304029305e-09 relative error = 1.6946278884141833479892936591706e-07 % h = 0.0001 y1[1] (analytic) = 1.9989283464616024061893579216206 y1[1] (numeric) = 1.998928346447920284470416719833 absolute error = 1.36821217189412017876e-11 relative error = 6.8447284482010435536630527980464e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1564.0MB, alloc=4.6MB, time=85.89 x[1] = 0.0464 y2[1] (analytic) = 1.0463833522348663426608479068265 y2[1] (numeric) = 1.0463833540271578904794603766843 absolute error = 1.7922915478186124698578e-09 relative error = 1.7128440967553954750845813914885e-07 % h = 0.0001 y1[1] (analytic) = 1.9989237131210052115566377037741 y1[1] (numeric) = 1.9989237131071448235867951226725 absolute error = 1.38603879698425811016e-11 relative error = 6.9339254314021637642432784615101e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0465 y2[1] (analytic) = 1.0464832443740951949154989009809 y2[1] (numeric) = 1.0464832461857836566341934102369 absolute error = 1.8116884617186945092560e-09 relative error = 1.7312159286432444292336791953669e-07 % h = 0.0001 y1[1] (analytic) = 1.9989190697911708940382296435948 y1[1] (numeric) = 1.9989190697771303084598643471964 absolute error = 1.40405855783652963984e-11 relative error = 7.0240890642121547411498117567236e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1567.8MB, alloc=4.6MB, time=86.09 NO POLE NO POLE x[1] = 0.0466 y2[1] (analytic) = 1.0465831360484916038165583156354 y2[1] (numeric) = 1.0465831378797445541978348362222 absolute error = 1.8312529503812765205868e-09 relative error = 1.7497443703281958957540395807497e-07 % h = 0.0001 y1[1] (analytic) = 1.9989144164721458869324382218515 y1[1] (numeric) = 1.9989144164579231556844314575095 absolute error = 1.42227312480067643420e-11 relative error = 7.1152277110033803686680934677514e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1571.6MB, alloc=4.6MB, time=86.31 NO POLE NO POLE x[1] = 0.0467 y2[1] (analytic) = 1.046683027257056652620894492399 y2[1] (numeric) = 1.0466830291080427498797529957021 absolute error = 1.8509860972588585033031e-09 relative error = 1.7684304121273113002993832404073e-07 % h = 0.0001 y1[1] (analytic) = 1.9989097531639767234294747319436 y1[1] (numeric) = 1.9989097531495698816390976636808 absolute error = 1.44068417903770682628e-11 relative error = 7.2073497903410503093231757815474e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1575.5MB, alloc=4.6MB, time=86.51 NO POLE NO POLE x[1] = 0.0468 y2[1] (analytic) = 1.0467829179987914292436893699662 y2[1] (numeric) = 1.0467829198696804197076298268141 absolute error = 1.8708889904639404568479e-09 relative error = 1.7872750484318664676613670331025e-07 % h = 0.0001 y1[1] (analytic) = 1.9989050798667100366109919479994 y1[1] (numeric) = 1.9989050798521171024853274898413 absolute error = 1.45929341256644581581e-11 relative error = 7.3004637752171487339566285276601e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1579.3MB, alloc=4.6MB, time=86.73 NO POLE NO POLE x[1] = 0.0469 y2[1] (analytic) = 1.0468828082726970262684276049564 y2[1] (numeric) = 1.0468828101636597490474499856115 absolute error = 1.8909627227790223806551e-09 relative error = 1.8062792777149659649506303529510e-07 % h = 0.0001 y1[1] (analytic) = 1.9989003965803925594496177940597 y1[1] (numeric) = 1.9989003965656115341665159433683 absolute error = 1.47810252831018506914e-11 relative error = 7.3945781932848706723399255153431e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1583.1MB, alloc=4.6MB, time=86.94 NO POLE NO POLE x[1] = 0.047 y2[1] (analytic) = 1.0469826980777745409568856460712 y2[1] (numeric) = 1.0469826999889829326234899202197 absolute error = 1.9112083916666042741485e-09 relative error = 1.8254441025391531322431302238437e-07 % h = 0.0001 y1[1] (analytic) = 1.9988957033050711248084880143524 y1[1] (numeric) = 1.9988957032900999924070536851593 absolute error = 1.49711324014343291931e-11 relative error = 7.4897016270935660184580440638428e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1586.9MB, alloc=4.6MB, time=87.15 NO POLE NO POLE x[1] = 0.0471 y2[1] (analytic) = 1.0470825874130250752591207614681 y2[1] (numeric) = 1.04708258934465217453830689821 absolute error = 1.9316270992791861367419e-09 relative error = 1.8447705295640158037819745645214e-07 % h = 0.0001 y1[1] (analytic) = 1.9988910000407926654407778446611 y1[1] (numeric) = 1.9988910000256293927113902010009 absolute error = 1.51632727293876436602e-11 relative error = 7.5858427143241912221667970712361e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1590.7MB, alloc=4.6MB, time=87.35 x[1] = 0.0472 y2[1] (analytic) = 1.0471824762774497358234600192516 y2[1] (numeric) = 1.0471824782296696882927279870909 absolute error = 1.9522199524692679678393e-09 relative error = 1.8642595695537877228192312750493e-07 % h = 0.0001 y1[1] (analytic) = 1.998886286787604213989232684794 y1[1] (numeric) = 1.9988862867722467503630949740378 absolute error = 1.53574636261377107562e-11 relative error = 7.6830101480252687007995511280238e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0473 y2[1] (analytic) = 1.0472823646700496340064892209815 y2[1] (numeric) = 1.0472823666430376968058389878158 absolute error = 1.9729880627993497668343e-09 relative error = 1.8839122373849456531802830255227e-07 % h = 0.0001 y1[1] (analytic) = 1.9988815635455529029856977721565 y1[1] (numeric) = 1.9988815635299991804239166583453 absolute error = 1.55537225617811138112e-11 relative error = 7.7812126768493540037698185053357e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1594.5MB, alloc=4.6MB, time=87.55 NO POLE NO POLE x[1] = 0.0474 y2[1] (analytic) = 1.047382252589825885883041788099 y2[1] (numeric) = 1.0473822545837584324349733212092 absolute error = 1.9939325465519315331102e-09 relative error = 1.9037295520538021906335871419674e-07 % h = 0.0001 y1[1] (analytic) = 1.9988768303146859648506468564337 y1[1] (numeric) = 1.9988768302989338977328402536116 absolute error = 1.57520671178066028221e-11 relative error = 7.8804591052900107632373464943465e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1598.3MB, alloc=4.6MB, time=87.77 NO POLE NO POLE x[1] = 0.0475 y2[1] (analytic) = 1.0474821400357796122561876011695 y2[1] (numeric) = 1.0474821420508341369957008672096 absolute error = 2.0150545247395132660401e-09 relative error = 1.9237125366840942771445974630933e-07 % h = 0.0001 y1[1] (analytic) = 1.9988720870950507318927098753854 y1[1] (numeric) = 1.9988720870790982169051422809333 absolute error = 1.59525149875675944521e-11 relative error = 7.9807582939192934636262978438565e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1602.2MB, alloc=4.6MB, time=87.98 NO POLE NO POLE x[1] = 0.0476 y2[1] (analytic) = 1.0475820270069119386672217918445 y2[1] (numeric) = 1.0475820290432670617818167568303 absolute error = 2.0363551231145949649858e-09 relative error = 1.9438622185345674210901285218204e-07 % h = 0.0001 y1[1] (analytic) = 1.9988673338866946363081996317608 y1[1] (numeric) = 1.9988673338705395523314439597295 absolute error = 1.61550839767556720313e-11 relative error = 8.0821191596257380641560187737223e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1606.0MB, alloc=4.6MB, time=88.19 NO POLE NO POLE x[1] = 0.0477 y2[1] (analytic) = 1.0476819135022239954056534874394 y2[1] (numeric) = 1.0476819155600594675853301167382 absolute error = 2.0578354721796766292988e-09 relative error = 1.9641796290065556265117401483666e-07 % h = 0.0001 y1[1] (analytic) = 1.9988625706896652101806374713354 y1[1] (numeric) = 1.9988625706733054181767623857792 absolute error = 1.63597920038750855562e-11 relative error = 8.1845506758528605066149487663387e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1609.8MB, alloc=4.6MB, time=88.39 NO POLE NO POLE x[1] = 0.0478 y2[1] (analytic) = 1.0477817995207169175191945080305 y2[1] (numeric) = 1.0477818016002136247164527663499 absolute error = 2.0794967071972582583194e-09 relative error = 1.9846658036515570344777541733432e-07 % h = 0.0001 y1[1] (analytic) = 1.9988577975040100854802779620762 y1[1] (numeric) = 1.9988577974874434283795597103862 absolute error = 1.65666571007182516900e-11 relative error = 8.2880618728381631427305605058709e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1613.6MB, alloc=4.6MB, time=88.60 NO POLE NO POLE x[1] = 0.0479 y2[1] (analytic) = 1.0478816850613918448237480159695 y2[1] (numeric) = 1.0478816871627318130235878673463 absolute error = 2.1013399681998398513768e-09 relative error = 2.0053217821788052796281070288164e-07 % h = 0.0001 y1[1] (analytic) = 1.9988530143297769940636325744397 y1[1] (numeric) = 1.9988530143130012966507903206773 absolute error = 1.67756974128422537624e-11 relative error = 8.3926618378526491139585070466405e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1617.4MB, alloc=4.6MB, time=88.81 NO POLE NO POLE x[1] = 0.048 y2[1] (analytic) = 1.0479815701232499219133971177164 y2[1] (numeric) = 1.0479815722466163219133185255051 absolute error = 2.1233663999999214077887e-09 relative error = 2.0261486084628365649700472909046e-07 % h = 0.0001 y1[1] (analytic) = 1.9988482211670137676729923628071 y1[1] (numeric) = 1.9988482211500268364729460210372 absolute error = 1.69869312000463417699e-11 relative error = 8.4983597154408447177359972611696e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1621.2MB, alloc=4.6MB, time=89.01 x[1] = 0.0481 y2[1] (analytic) = 1.0480814547052922981703934178897 y2[1] (numeric) = 1.0480814568508694503703963447514 absolute error = 2.1455771522000029268617e-09 relative error = 2.0471473305510524579933671596167e-07 % h = 0.0001 y1[1] (analytic) = 1.9988434180157683379359496480618 y1[1] (numeric) = 1.9988434179985679610990992156864 absolute error = 1.72003768368504323754e-11 relative error = 8.6051647076613297932149924863714e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0482 y2[1] (analytic) = 1.0481813388065201277751455254363 y2[1] (numeric) = 1.0481813409744935069777299333267 absolute error = 2.1679733792025844078904e-09 relative error = 2.0683190006712784111686209319124e-07 % h = 0.0001 y1[1] (analytic) = 1.9988386048760887363649187013138 y1[1] (numeric) = 1.9988386048586726835519440924054 absolute error = 1.74160528129746089084e-11 relative error = 8.7130860743277761608127358735481e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1625.1MB, alloc=4.6MB, time=89.22 NO POLE NO POLE x[1] = 0.0483 y2[1] (analytic) = 1.0482812224259345697162075118186 y2[1] (numeric) = 1.0482812246164908099363733619763 absolute error = 2.1905562402201658501577e-09 relative error = 2.0896646752393180098941833129712e-07 % h = 0.0001 y1[1] (analytic) = 1.9988337817480230943566554287762 y1[1] (numeric) = 1.998833781730389116622835807411 absolute error = 1.76339777338196213652e-11 relative error = 8.8221331332504941490377930601162e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1628.9MB, alloc=4.6MB, time=89.43 NO POLE NO POLE x[1] = 0.0484 y2[1] (analytic) = 1.0483811055625367878002673211209 y2[1] (numeric) = 1.0483811077758636870855145740554 absolute error = 2.2133268992852472529345e-09 relative error = 2.1111854148665029509519085616301e-07 % h = 0.0001 y1[1] (analytic) = 1.9988289486316196431917760577976 y1[1] (numeric) = 1.9988289486137654728708276713893 absolute error = 1.78541703209483864083e-11 relative error = 8.9323152604784872420209323841325e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1632.7MB, alloc=4.6MB, time=89.65 NO POLE NO POLE x[1] = 0.0485 y2[1] (analytic) = 1.0484809882153279506621351319738 y2[1] (numeric) = 1.0484809904516144759224637474535 absolute error = 2.2362865252603286154797e-09 relative error = 2.1328822843672387545317408645106e-07 % h = 0.0001 y1[1] (analytic) = 1.998824105526926714034274824057 y1[1] (numeric) = 1.9988241055088500646217063366896 absolute error = 1.80766494125684873674e-11 relative error = 9.0436418905420148828523254096972e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1636.5MB, alloc=4.6MB, time=89.85 NO POLE NO POLE x[1] = 0.0486 y2[1] (analytic) = 1.0485808703833092317747316711985 y2[1] (numeric) = 1.0485808726427455236226416082379 absolute error = 2.2594362918479099370394e-09 relative error = 2.1547563527665462128817326778143e-07 % h = 0.0001 y1[1] (analytic) = 1.9988192524339927379310406599234 y1[1] (numeric) = 1.9988192524156913039670249856853 absolute error = 1.83014339640156742381e-11 relative error = 9.1561225166956634647459351500284e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1640.3MB, alloc=4.6MB, time=90.06 NO POLE NO POLE x[1] = 0.0487 y2[1] (analytic) = 1.0486807520654818094590764790685 y2[1] (numeric) = 1.0486807543482591870595676959162 absolute error = 2.2827773776004912168477e-09 relative error = 2.1768086933075985786412818427465e-07 % h = 0.0001 y1[1] (analytic) = 1.9988143893528662458113728839883 y1[1] (numeric) = 1.9988143893343377027631345203051 absolute error = 1.85285430482383636832e-11 relative error = 9.2697666911619255465257606324552e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1644.1MB, alloc=4.6MB, time=90.26 NO POLE NO POLE x[1] = 0.0488 y2[1] (analytic) = 1.0487806332608468668942761260916 y2[1] (numeric) = 1.0487806355671578328248485802171 absolute error = 2.3063109659305724541255e-09 relative error = 2.1990403834592544959076927489441e-07 % h = 0.0001 y1[1] (analytic) = 1.9988095162835958684864958917721 y1[1] (numeric) = 1.9988095162648378726302127527405 absolute error = 1.87579958562831390316e-11 relative error = 9.3845840253752873240469402444312e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1647.9MB, alloc=4.6MB, time=90.47 x[1] = 0.0489 y2[1] (analytic) = 1.0488805139684055921275123812101 y2[1] (numeric) = 1.0488805162984438372481660292914 absolute error = 2.3300382451206536480813e-09 relative error = 2.2214525049235866770914337985799e-07 % h = 0.0001 y1[1] (analytic) = 1.9988046332262303366490728476131 y1[1] (numeric) = 1.998804633207240524951291597334 absolute error = 1.89898116977812502791e-11 relative error = 9.5005841902268243938886879530357e-10 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.049 y2[1] (analytic) = 1.0489803941871591780840303313211 y2[1] (numeric) = 1.0489803965411195864172651292313 absolute error = 2.3539604083332347979102e-09 relative error = 2.2440461436434063286060446669015e-07 % h = 0.0001 y1[1] (analytic) = 1.9987997401808184808727183777409 y1[1] (numeric) = 1.9987997401615944708712822636528 absolute error = 1.92240100014361140881e-11 relative error = 9.6177769163093058420751312684809e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1651.8MB, alloc=4.6MB, time=90.67 NO POLE NO POLE x[1] = 0.0491 y2[1] (analytic) = 1.0490802739161088225771264520153 y2[1] (numeric) = 1.0490802762941874761979423548095 absolute error = 2.3780786536208159027942e-09 relative error = 2.2668223898097833284432481438195e-07 % h = 0.0001 y1[1] (analytic) = 1.9987948371474092316115102645405 y1[1] (numeric) = 1.9987948371279486212959984507532 absolute error = 1.94606103155118137873e-11 relative error = 9.7361719941628066927025762899070e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1655.6MB, alloc=4.6MB, time=90.88 NO POLE NO POLE x[1] = 0.0492 y2[1] (analytic) = 1.0491801531542557283181366294362 y2[1] (numeric) = 1.0491801555566499122540335913377 absolute error = 2.4023941839358969619015e-09 relative error = 2.2897823378695621586766949498898e-07 % h = 0.0001 y1[1] (analytic) = 1.9987899241260516191995001420124 y1[1] (numeric) = 1.9987899241063519868911775426401 absolute error = 1.96996323083225993723e-11 relative error = 9.8557792745208287513229302839753e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1659.4MB, alloc=4.6MB, time=91.09 NO POLE NO POLE x[1] = 0.0493 y2[1] (analytic) = 1.049280031900601102926424133158 y2[1] (numeric) = 1.049280034327509310067402107545 absolute error = 2.4269082071409779743870e-09 relative error = 2.3129270865328735959400843768376e-07 % h = 0.0001 y1[1] (analytic) = 1.9987850011167947738502231924319 y1[1] (numeric) = 1.9987850010968536780814998049268 absolute error = 1.99410957687233875051e-11 relative error = 9.9766086685569298765533997849260e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1663.2MB, alloc=4.6MB, time=91.30 NO POLE NO POLE x[1] = 0.0494 y2[1] (analytic) = 1.0493799101541461589393675399836 y2[1] (numeric) = 1.0493799126057680949579264793753 absolute error = 2.4516219360185589393917e-09 relative error = 2.3362577387806421629191392857589e-07 % h = 0.0001 y1[1] (analytic) = 1.9987800681196879256562068442147 y1[1] (numeric) = 1.9987800680995029050496055827004 absolute error = 2.01850206066012615143e-11 relative error = 1.0098670148131861715354987408365e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1667.0MB, alloc=4.6MB, time=91.51 NO POLE NO POLE x[1] = 0.0495 y2[1] (analytic) = 1.0494797879138921138223486085629 y2[1] (numeric) = 1.0494797903904287021034884646054 absolute error = 2.4765365882811398560425e-09 relative error = 2.3597754018720893438985634275292e-07 % h = 0.0001 y1[1] (analytic) = 1.9987751251347804045884784709919 y1[1] (numeric) = 1.9987751251143489777351104995967 absolute error = 2.04314268533679713952e-11 relative error = 1.0221973746041215936192802096674e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1670.8MB, alloc=4.6MB, time=91.73 NO POLE NO POLE x[1] = 0.0496 y2[1] (analytic) = 1.0495796651788401899787401047304 y2[1] (numeric) = 1.0495796676804935765599608281824 absolute error = 2.5016533865812207234520e-09 relative error = 2.3834811873522325674013260262068e-07 % h = 0.0001 y1[1] (analytic) = 1.9987701721621216404960720918996 y1[1] (numeric) = 1.9987701721414413058336186580903 absolute error = 2.06803346624534338093e-11 relative error = 1.0346529556263578994512557564954e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1674.6MB, alloc=4.6MB, time=91.94 NO POLE NO POLE x[1] = 0.0497 y2[1] (analytic) = 1.0496795419479916147598935774631 y2[1] (numeric) = 1.0496795444749651732811951181815 absolute error = 2.5269735585213015407184e-09 relative error = 2.4073762110593799589561248975019e-07 % h = 0.0001 y1[1] (analytic) = 1.99876520920176116310553407309 y1[1] (numeric) = 1.9987652091808293987957338410047 absolute error = 2.09317643098002320853e-11 relative error = 1.0472347734209195466339712703200e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1678.5MB, alloc=4.6MB, time=92.14 x[1] = 0.0498 y2[1] (analytic) = 1.0497794182203476204751270853588 y2[1] (numeric) = 1.049779420772845957139009392284 absolute error = 2.5524983366638823069252e-09 relative error = 2.4314615931326208670265293653161e-07 % h = 0.0001 y1[1] (analytic) = 1.9987602362537486020204278304654 y1[1] (numeric) = 1.9987602362325628658260687142473 absolute error = 2.11857361943591162181e-11 relative error = 1.0599438496969139983077277888926e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0499 y2[1] (analytic) = 1.0498792939949094444017128735345 y2[1] (numeric) = 1.0498792965731384029431758946756 absolute error = 2.5782289585414630211411e-09 relative error = 2.4557384580193121651340036857970e-07 % h = 0.0001 y1[1] (analytic) = 1.9987552533181336867208375336434 y1[1] (numeric) = 1.9987552532966914158822520307743 absolute error = 2.14422708385855028691e-11 relative error = 1.0727812123564997804051685039136e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1682.3MB, alloc=4.6MB, time=92.35 NO POLE NO POLE x[1] = 0.05 y2[1] (analytic) = 1.0499791692706783287948650008455 y2[1] (numeric) = 1.0499791718748449954614086832651 absolute error = 2.6041666666665436824196e-09 relative error = 2.4802079344825603332041881127164e-07 % h = 0.0001 y1[1] (analytic) = 1.9987502603949662465628708111565 y1[1] (numeric) = 1.9987502603732648576739338357901 absolute error = 2.17013888889369753664e-11 relative error = 1.0857478955199054061075979271226e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1686.1MB, alloc=4.6MB, time=92.57 NO POLE NO POLE x[1] = 0.0501 y2[1] (analytic) = 1.0500790440466555208977269173246 y2[1] (numeric) = 1.0500790466769682294393512071238 absolute error = 2.6303127085416242897992e-09 relative error = 2.5048711556086993211651835952908e-07 % h = 0.0001 y1[1] (analytic) = 1.9987452574842962107781604568913 y1[1] (numeric) = 1.9987452574623330996617886731866 absolute error = 2.19631111163717837047e-11 relative error = 1.0988449395504991709971254569259e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1689.9MB, alloc=4.6MB, time=92.78 NO POLE NO POLE x[1] = 0.0502 y2[1] (analytic) = 1.0501789183218422729513589917428 y2[1] (numeric) = 1.0501789209785106096205638340454 absolute error = 2.6566683366692048423026e-09 relative error = 2.5297292588147641978222415491113e-07 % h = 0.0001 y1[1] (analytic) = 1.9987402445861736084733651377727 y1[1] (numeric) = 1.9987402445639461500565167932275 absolute error = 2.22274584168483445452e-11 relative error = 1.1120733910799098224308718472420e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1693.7MB, alloc=4.6MB, time=92.99 NO POLE NO POLE x[1] = 0.0503 y2[1] (analytic) = 1.0502787920952398422047259891901 y2[1] (numeric) = 1.0502787947784746507665113281269 absolute error = 2.6832348085617853389368e-09 relative error = 2.5547833858559605880346317827977e-07 % h = 0.0001 y1[1] (analytic) = 1.9987352217006485686296691026976 y1[1] (numeric) = 1.9987352216781541168178433614819 absolute error = 2.24944518118257412157e-11 relative error = 1.1254343030331981066656054500820e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1697.5MB, alloc=4.6MB, time=93.19 NO POLE NO POLE x[1] = 0.0504 y2[1] (analytic) = 1.0503786653658494909246844985774 y2[1] (numeric) = 1.0503786680758628776765502772705 absolute error = 2.7100133867518657786931e-09 relative error = 2.5800346828331299012157387959976e-07 % h = 0.0001 y1[1] (analytic) = 1.9987301888277713201022808927236 y1[1] (numeric) = 1.9987301888050072076535156690131 absolute error = 2.27641124487652237105e-11 relative error = 1.1389287346540791972382880083805e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1701.3MB, alloc=4.6MB, time=93.40 NO POLE NO POLE x[1] = 0.0505 y2[1] (analytic) = 1.05047853813267248640597030996 y2[1] (numeric) = 1.0504785408696778252079164705063 absolute error = 2.7370053388019461605463e-09 relative error = 2.6054843002002103541757637752332e-07 % h = 0.0001 y1[1] (analytic) = 1.9987251459675921916199310525173 y1[1] (numeric) = 1.9987251459445557300182983438267 absolute error = 2.30364616016327086906e-11 relative error = 1.1525577515301960081601703679031e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1705.2MB, alloc=4.6MB, time=93.61 x[1] = 0.0506 y2[1] (analytic) = 1.0505784103947101009811857415816 y2[1] (numeric) = 1.0505784131589220382957122250367 absolute error = 2.7642119373145264834551e-09 relative error = 2.6311333927716937913270223183714e-07 % h = 0.0001 y1[1] (analytic) = 1.9987200931201616117843688430674 y1[1] (numeric) = 1.9987200930968500911129665635839 absolute error = 2.33115206714022794835e-11 relative error = 1.1663224256184433954291733828420e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0507 y2[1] (analytic) = 1.0506782821509636120307869165402 y2[1] (numeric) = 1.0506782849425980719728936629015 absolute error = 2.7916344599421067463613e-09 relative error = 2.6569831197300783052656822656570e-07 % h = 0.0001 y1[1] (analytic) = 1.9987150302855301090698579556676 y1[1] (numeric) = 1.9987150302619407978832972695844 absolute error = 2.35893111865606860832e-11 relative error = 1.1802238352703432504374637253181e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1709.0MB, alloc=4.6MB, time=93.81 NO POLE NO POLE x[1] = 0.0508 y2[1] (analytic) = 1.0507781534004343019930709889748 y2[1] (numeric) = 1.0507781562197084913902579371649 absolute error = 2.8192741893971869481901e-09 relative error = 2.6830346446333166607463055749721e-07 % h = 0.0001 y1[1] (analytic) = 1.9987099574637483118226712271744 y1[1] (numeric) = 1.998709957439878457019058382024 absolute error = 2.38698548036128451504e-11 relative error = 1.1942630652574704888282494403009e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1712.8MB, alloc=4.6MB, time=94.02 NO POLE NO POLE x[1] = 0.0509 y2[1] (analytic) = 1.0508780241421234583741633196745 y2[1] (numeric) = 1.0508780269892558718364304075241 absolute error = 2.8471324134622670878496e-09 relative error = 2.7092891354222605250596061823575e-07 % h = 0.0001 y1[1] (analytic) = 1.9987048746548669482605843565448 y1[1] (numeric) = 1.9987048746307137749529960165327 absolute error = 2.41531733075883400121e-11 relative error = 1.2084412067969299383229285912199e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1716.6MB, alloc=4.6MB, time=94.22 NO POLE NO POLE x[1] = 0.051 y2[1] (analytic) = 1.0509778943750323737580046010091 y2[1] (numeric) = 1.0509778972502427987578517652393 absolute error = 2.8752104249998471642302e-09 relative error = 2.7357477644281005078243587548106e-07 % h = 0.0001 y1[1] (analytic) = 1.9986997818589368464723686226592 y1[1] (numeric) = 1.9986997818344975578598197019969 absolute error = 2.44392886125489206623e-11 relative error = 1.2227593575768841291719398001972e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1720.4MB, alloc=4.6MB, time=94.43 NO POLE NO POLE x[1] = 0.0511 y2[1] (analytic) = 1.0510777640981623458163379310805 y2[1] (numeric) = 1.0510777670016718677787651072858 absolute error = 2.9035095219624271762053e-09 relative error = 2.7624117083798020132031078006298e-07 % h = 0.0001 y1[1] (analytic) = 1.9986946790760089344172826034335 y1[1] (numeric) = 1.9986946790512807116551855996725 absolute error = 2.47282227620970037610e-11 relative error = 1.2372186217821319906646537680749e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1724.2MB, alloc=4.6MB, time=94.64 NO POLE NO POLE x[1] = 0.0512 y2[1] (analytic) = 1.0511776333105146773186958369981 y2[1] (numeric) = 1.0511776362425456847212029596281 absolute error = 2.9320310074025071226300e-09 relative error = 2.7892821484115369075449048725795e-07 % h = 0.0001 y1[1] (analytic) = 1.9986895663061342399245628962276 y1[1] (numeric) = 1.9986895662811142419946777235924 absolute error = 2.50199979298851726352e-11 relative error = 1.2518201101197384574659911152387e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1728.1MB, alloc=4.6MB, time=94.85 NO POLE NO POLE x[1] = 0.0513 y2[1] (analytic) = 1.0512775020110906761423872471741 y2[1] (numeric) = 1.0512775049718668656249742495158 absolute error = 2.9607761894825870023417e-09 relative error = 2.8163602700701110054632046293411e-07 % h = 0.0001 y1[1] (analytic) = 1.998684443549363890692913839553 y1[1] (numeric) = 1.9986844435240492542727871622748 absolute error = 2.53146364201266772782e-11 relative error = 1.2665649398447149891843486981548e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1731.9MB, alloc=4.6MB, time=95.06 NO POLE NO POLE x[1] = 0.0514 y2[1] (analytic) = 1.051377370198891655282484412543 y2[1] (numeric) = 1.0513773731886380367676512267022 absolute error = 2.9897463814851668141592e-09 relative error = 2.8436472633223873773481576356442e-07 % h = 0.0001 y1[1] (analytic) = 1.9986793108057491142899962360865 y1[1] (numeric) = 1.9986793107801369536218893017365 absolute error = 2.56121606681069343500e-11 relative error = 1.2814542347857510069077646286109e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1735.7MB, alloc=4.6MB, time=95.26 x[1] = 0.0515 y2[1] (analytic) = 1.0514772378729189328618097766017 y2[1] (numeric) = 1.0514772408918618346845563334847 absolute error = 3.0189429018227465568830e-09 relative error = 2.8711443225627054813163961827162e-07 % h = 0.0001 y1[1] (analytic) = 1.9986741680753412381519150769939 y1[1] (numeric) = 1.9986741680494286449112190498168 absolute error = 2.59125932406960271771e-11 relative error = 1.2964891253709962502272434872996e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0516 y2[1] (analytic) = 1.0515771050321738321409227941736 y2[1] (numeric) = 1.0515771080805409061887490234683 absolute error = 3.0483670740478262292947e-09 relative error = 2.8988526466202961225948988399687e-07 % h = 0.0001 y1[1] (analytic) = 1.9986690153581916895827062675692 y1[1] (numeric) = 1.9986690153319757327458440618167 absolute error = 2.62159568368622057525e-11 relative error = 1.3116707486538940583983829081212e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1739.5MB, alloc=4.6MB, time=95.48 NO POLE NO POLE x[1] = 0.0517 y2[1] (analytic) = 1.0516769716756576815281066987945 y2[1] (numeric) = 1.0516769747536779083910125289511 absolute error = 3.0780202268629058301566e-09 relative error = 2.9267734387666922433366210506857e-07 % h = 0.0001 y1[1] (analytic) = 1.9986638526543519957538223541949 y1[1] (numeric) = 1.9986638526278297214656359674592 absolute error = 2.65222742881863867357e-11 relative error = 1.3270002483390655792495488383717e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1743.3MB, alloc=4.6MB, time=95.69 NO POLE NO POLE x[1] = 0.0518 y2[1] (analytic) = 1.0517768378023718145893552186213 y2[1] (numeric) = 1.0517768409102755087198405768333 absolute error = 3.1079036941304853582120e-09 relative error = 2.9549079067231355458630665213303e-07 % h = 0.0001 y1[1] (analytic) = 1.998658679963873783703617252628 y1[1] (numeric) = 1.998658679937042215144239599175 absolute error = 2.68315685593776534530e-11 relative error = 1.3424787748082449094770026274556e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1747.1MB, alloc=4.6MB, time=95.89 NO POLE NO POLE x[1] = 0.0519 y2[1] (analytic) = 1.0518767034113175700583592407638 y2[1] (numeric) = 1.0518767065493363849414240529483 absolute error = 3.1380188148830648121845e-09 relative error = 2.9832572626679789523249423574943e-07 % h = 0.0001 y1[1] (analytic) = 1.9986534972868087803368299776164 y1[1] (numeric) = 1.9986534972596649175880402217196 absolute error = 2.71438627487897558968e-11 relative error = 1.3581074851462651698944693319412e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1750.9MB, alloc=4.6MB, time=96.10 NO POLE NO POLE x[1] = 0.052 y2[1] (analytic) = 1.0519765685014962918464934239395 y2[1] (numeric) = 1.0519765716698632251796376147174 absolute error = 3.1683669333331441907779e-09 relative error = 3.0118227232440849037732405117325e-07 % h = 0.0001 y1[1] (analytic) = 1.9986483046232088124240673738526 y1[1] (numeric) = 1.9986483045957496323351287631261 absolute error = 2.74591800889386107265e-11 relative error = 1.3738875431670955194069075203639e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1754.8MB, alloc=4.6MB, time=96.31 NO POLE NO POLE x[1] = 0.0521 y2[1] (analytic) = 1.0520764330719093290528027593518 y2[1] (numeric) = 1.0520764362708587279360262520274 absolute error = 3.1989493988832234926756e-09 relative error = 3.0406055095662195016285833992879e-07 % h = 0.0001 y1[1] (analytic) = 1.9986431019731258066012858482675 y1[1] (numeric) = 1.9986431019453482626542650469997 absolute error = 2.77775439470208012678e-11 relative error = 1.3898201194399291111951875922387e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1758.6MB, alloc=4.6MB, time=96.51 NO POLE NO POLE x[1] = 0.0522 y2[1] (analytic) = 1.0521762971215580359739890796906 y2[1] (numeric) = 1.0521763003513256021097917962316 absolute error = 3.2297675661358027165410e-09 relative error = 3.0696068472284424945372075665658e-07 % h = 0.0001 y1[1] (analytic) = 1.9986378893366117893692721036716 y1[1] (numeric) = 1.9986378893085128115438390261587 absolute error = 2.80989778254330775129e-11 relative error = 1.4059063913153219948907179901373e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1762.4MB, alloc=4.6MB, time=96.72 NO POLE NO POLE x[1] = 0.0523 y2[1] (analytic) = 1.0522761606494437721143975161576 y2[1] (numeric) = 1.052276163910266567017779377174 absolute error = 3.2608227949033818610164e-09 relative error = 3.0988279663114931135962224621798e-07 % h = 0.0001 y1[1] (analytic) = 1.9986326667137188870931228737474 y1[1] (numeric) = 1.9986326666852953817308300176268 absolute error = 2.84235053622928561206e-11 relative error = 1.4221475429513829683510835735661e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0524 y2[1] (analytic) = 1.0523760236545679021960029034141 y2[1] (numeric) = 1.0523760269466843524144638281376 absolute error = 3.2921164502184609247235e-09 relative error = 3.1282701013901717589341713516014e-07 % h = 0.0001 y1[1] (analytic) = 1.998627434104499326001723659399 y1[1] (numeric) = 1.9986274340757481756697639389827 absolute error = 2.87511503319597204163e-11 relative error = 1.4385447653400143827049362792702e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1766.2MB, alloc=4.6MB, time=96.93 NO POLE NO POLE x[1] = 0.0525 y2[1] (analytic) = 1.0524758861359317961683961323531 y2[1] (numeric) = 1.0524758894595816985119360386157 absolute error = 3.3236499023435399062626e-09 relative error = 3.1579344915407175406252865949027e-07 % h = 0.0001 y1[1] (analytic) = 1.9986221915090054321872264664635 y1[1] (numeric) = 1.9986221914799234955416685460718 absolute error = 2.90819366455579203917e-11 relative error = 1.4550992563332039043315144090756e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1770.0MB, alloc=4.6MB, time=97.13 NO POLE NO POLE x[1] = 0.0526 y2[1] (analytic) = 1.0525757480925368292187704505952 y2[1] (numeric) = 1.0525757514479613559998892548076 absolute error = 3.3554245267811188042124e-09 relative error = 3.1878223803481816769184634616300e-07 % h = 0.0001 y1[1] (analytic) = 1.9986169389272896316045265447902 y1[1] (numeric) = 1.9986169388978737432530266720849 absolute error = 2.94158883514998727053e-11 relative error = 1.4718122206693672375123553190774e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1773.8MB, alloc=4.6MB, time=97.34 NO POLE NO POLE x[1] = 0.0527 y2[1] (analytic) = 1.052675609523384381781907710608 y2[1] (numeric) = 1.052675612910826086065605327738 absolute error = 3.3874417042836976171300e-09 relative error = 3.2179350159137967527578613593768e-07 % h = 0.0001 y1[1] (analytic) = 1.9986116763594044500707381286918 y1[1] (numeric) = 1.9986116763296514204347274680098 absolute error = 2.97530296360106606820e-11 relative error = 1.4886848699997418113598144076041e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1777.6MB, alloc=4.6MB, time=97.54 NO POLE NO POLE x[1] = 0.0528 y2[1] (analytic) = 1.0527754704274758395501645653503 y2[1] (numeric) = 1.0527754738471786604139409089005 absolute error = 3.4197028208637763435502e-09 relative error = 3.2482736508623418415696390480153e-07 % h = 0.0001 y1[1] (analytic) = 1.9986064038054025132646691787737 y1[1] (numeric) = 1.9986064037753091284410156444606 absolute error = 3.00933848236535343131e-11 relative error = 1.5057184229148314347842508733302e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1781.5MB, alloc=4.6MB, time=97.75 NO POLE NO POLE x[1] = 0.0529 y2[1] (analytic) = 1.0528753308038125934834586113399 y2[1] (numeric) = 1.0528753342560218612873135933255 absolute error = 3.4522092678038549819856e-09 relative error = 3.2788395423495034932896842334084e-07 % h = 0.0001 y1[1] (analytic) = 1.9986011212653365467262951251468 y1[1] (numeric) = 1.99860112123489956834843871489 absolute error = 3.04369783778564102568e-11 relative error = 1.5229141049709019232088454145990e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1785.3MB, alloc=4.6MB, time=97.96 NO POLE NO POLE x[1] = 0.053 y2[1] (analytic) = 1.0529751906513960398192544790465 y2[1] (numeric) = 1.0529751941363584814856880099723 absolute error = 3.4849624416664335309258e-09 relative error = 3.3096339520692325916022329042943e-07 % h = 0.0001 y1[1] (analytic) = 1.9985958287392593758562316120275 y1[1] (numeric) = 1.9985958287084755409547922401901 absolute error = 3.07838349014393718374e-11 relative error = 1.5402731487165277006530942877345e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1789.1MB, alloc=4.6MB, time=98.16 NO POLE NO POLE x[1] = 0.0531 y2[1] (analytic) = 1.0530750499692275800825498705084 y2[1] (numeric) = 1.0530750534871913243865618593459 absolute error = 3.5179637443040119888375e-09 relative error = 3.3406581462610970833606750171541e-07 % h = 0.0001 y1[1] (analytic) = 1.9985905262272239259152062437325 y1[1] (numeric) = 1.9985905261960899467780630746867 absolute error = 3.11339791371431690458e-11 relative error = 1.5577967937191893810333238260057e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1792.9MB, alloc=4.6MB, time=98.37 x[1] = 0.0532 y2[1] (analytic) = 1.0531749087563086210958615440743 y2[1] (numeric) = 1.0531749123075232039649518982385 absolute error = 3.5512145828690903541642e-09 relative error = 3.3719133957176305831569761284769e-07 % h = 0.0001 y1[1] (analytic) = 1.9985852137292832220235293320718 y1[1] (numeric) = 1.9985852136977957860553706135322 absolute error = 3.14874359681587185396e-11 relative error = 1.5754862865919223323205670802187e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0533 y2[1] (analytic) = 1.0532747670116405749892112461698 y2[1] (numeric) = 1.0532747705963569448133798714955 absolute error = 3.5847163698241686253257e-09 relative error = 3.4034009757916768560056487677115e-07 % h = 0.0001 y1[1] (analytic) = 1.9985798912454903891605636451459 y1[1] (numeric) = 1.9985798912136461587419060415032 absolute error = 3.18442304186576036427e-11 relative error = 1.5933428810200162272833468425176e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1796.7MB, alloc=4.6MB, time=98.59 NO POLE NO POLE x[1] = 0.0534 y2[1] (analytic) = 1.0533746247342248592101115899888 y2[1] (numeric) = 1.0533746283526953821618583907068 absolute error = 3.6184705229517468007180e-09 relative error = 3.4351221664037301811066674134292e-07 % h = 0.0001 y1[1] (analytic) = 1.998574558775898652164193157553 y1[1] (numeric) = 1.9985745587436942645098695832073 absolute error = 3.22043876543235743457e-11 relative error = 1.6113678377877655846201072512280e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1800.5MB, alloc=4.6MB, time=98.79 NO POLE NO POLE x[1] = 0.0535 y2[1] (analytic) = 1.0534744819230628965335518810103 y2[1] (numeric) = 1.0534744855755413618978767597229 absolute error = 3.6524784653643248787126e-09 relative error = 3.4670782520492715996482835539585e-07 % h = 0.0001 y1[1] (analytic) = 1.9985692163205613357302908020102 y1[1] (numeric) = 1.9985692162879934027474057547046 absolute error = 3.25679329828850473056e-11 relative error = 1.6295624248052713041530860172955e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1804.3MB, alloc=4.6MB, time=99.00 NO POLE NO POLE x[1] = 0.0536 y2[1] (analytic) = 1.05357433857715611507198388924 y2[1] (numeric) = 1.0535743422638977405863867468966 absolute error = 3.6867416255144028576566e-09 relative error = 3.4992705218061010496110591801891e-07 % h = 0.0001 y1[1] (analytic) = 1.9985638638795318644121852223954 y1[1] (numeric) = 1.9985638638465969725575366165495 absolute error = 3.29348918546486058459e-11 relative error = 1.6479279171352931998926603711417e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1808.2MB, alloc=4.6MB, time=99.20 NO POLE NO POLE x[1] = 0.0537 y2[1] (analytic) = 1.0536741946955059482853075680773 y2[1] (numeric) = 1.0536741984167673854897883039495 absolute error = 3.7212614372044807358722e-09 relative error = 3.5317002693416653905298632203542e-07 % h = 0.0001 y1[1] (analytic) = 1.9985585014528637626201265282143 y1[1] (numeric) = 1.9985585014195584727570930282578 absolute error = 3.33052898630334999565e-11 relative error = 1.6664655970201535347032895062540e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1812.0MB, alloc=4.6MB, time=99.42 NO POLE NO POLE x[1] = 0.0538 y2[1] (analytic) = 1.0537740502771138349908567197083 y2[1] (numeric) = 1.0537740540331531745879152313646 absolute error = 3.7560393395970585116563e-09 relative error = 3.5643687929203823211706551591879e-07 % h = 0.0001 y1[1] (analytic) = 1.9985531290406106546207510504987 y1[1] (numeric) = 1.9985531290069315018756439042047 absolute error = 3.36791527451071462940e-11 relative error = 1.6851767539086915603693694645754e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1815.8MB, alloc=4.6MB, time=99.63 NO POLE NO POLE x[1] = 0.0539 y2[1] (analytic) = 1.053873905320981219373384606924 y2[1] (numeric) = 1.0538739091120579965980207902043 absolute error = 3.7910767772246361832803e-09 relative error = 3.5972773954109601930763974889233e-07 % h = 0.0001 y1[1] (analytic) = 1.9985477466428262645365450991403 y1[1] (numeric) = 1.9985477466087697581544234709588 absolute error = 3.40565063821216281815e-11 relative error = 1.7040626844832690667914134953573e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1819.6MB, alloc=4.6MB, time=99.84 NO POLE NO POLE x[1] = 0.054 y2[1] (analytic) = 1.0539737598261095509950495112643 y2[1] (numeric) = 1.0539737636524847509947632602541 absolute error = 3.8263751999997137489898e-09 relative error = 3.6304273842937137229341476366833e-07 % h = 0.0001 y1[1] (analytic) = 1.9985423542595644163453077216662 y1[1] (numeric) = 1.9985423542251270395452565260579 absolute error = 3.44373768000511956083e-11 relative error = 1.7231246926868269441151688655077e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0541 y2[1] (analytic) = 1.0540736137915002848054002373885 y2[1] (numeric) = 1.0540736176534363480301914443923 absolute error = 3.8619360632247912070038e-09 relative error = 3.6638200716678756067133752907442e-07 % h = 0.0001 y1[1] (analytic) = 1.9985369518908790338796124634618 y1[1] (numeric) = 1.9985369518560572437094816982312 absolute error = 3.48217901701307652306e-11 relative error = 1.7423640897499927616384592268278e-09 % memory used=1823.4MB, alloc=4.6MB, time=100.04 h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0542 y2[1] (analytic) = 1.054173467216154881151361563571 y2[1] (numeric) = 1.0541734711139157087537301190862 absolute error = 3.8977608276023685555152e-09 relative error = 3.6974567742589040385257295569687e-07 % h = 0.0001 y1[1] (analytic) = 1.9985315395368241408262681294447 y1[1] (numeric) = 1.9985315395016143680168727090741 absolute error = 3.52097728093954203706e-11 relative error = 1.7617821942182393671625595503315e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1827.2MB, alloc=4.6MB, time=100.25 NO POLE NO POLE x[1] = 0.0543 y2[1] (analytic) = 1.054273320099074805787219638224 y2[1] (numeric) = 1.0542733240329257650321654309138 absolute error = 3.9338509592449457926898e-09 relative error = 3.7313388134257861371502085111040e-07 % h = 0.0001 y1[1] (analytic) = 1.9985261171974538607257785471982 y1[1] (numeric) = 1.9985261171618525095445576361807 absolute error = 3.56013511812209110175e-11 relative error = 1.7813803319790945107672859699701e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1831.1MB, alloc=4.6MB, time=100.46 NO POLE NO POLE x[1] = 0.0544 y2[1] (analytic) = 1.0543731724392615298846073223464 y2[1] (numeric) = 1.0543731764094694595696302390124 absolute error = 3.9702079296850229166660e-09 relative error = 3.7654675151683372831705218469191e-07 % h = 0.0001 y1[1] (analytic) = 1.9985206848728224169718013315657 y1[1] (numeric) = 1.998520684836825865075936177739 absolute error = 3.59965518958651538267e-11 relative error = 1.8011598362894014966358739889047e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1834.9MB, alloc=4.6MB, time=100.66 NO POLE NO POLE x[1] = 0.0545 y2[1] (analytic) = 1.0544730242357165300424894777988 y2[1] (numeric) = 1.0544730282425497459275894033536 absolute error = 4.0068332158850999255548e-09 relative error = 3.7998442101344963696670653627257e-07 % h = 0.0001 y1[1] (analytic) = 1.998515242562984132810605650715 y1[1] (numeric) = 1.998515242526588731099594918595 absolute error = 3.63954017110107321200e-11 relative error = 1.8211220478026308668881102941811e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1838.7MB, alloc=4.6MB, time=100.88 NO POLE NO POLE x[1] = 0.0546 y2[1] (analytic) = 1.0545728754874412882971482013059 y2[1] (numeric) = 1.054572879531169588544825018745 absolute error = 4.0437283002476768174391e-09 relative error = 3.8344702336276169694034540184621e-07 % h = 0.0001 y1[1] (analytic) = 1.9985097902679934313405289936761 y1[1] (numeric) = 1.9985097902311955038082205977902 absolute error = 3.67979275323083958859e-11 relative error = 1.8412683145962431212022034577983e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1842.5MB, alloc=4.6MB, time=101.08 NO POLE NO POLE x[1] = 0.0547 y2[1] (analytic) = 1.0546727261934372921321680040854 y2[1] (numeric) = 1.0546727302743319627574215944587 absolute error = 4.0808946706252535903733e-09 relative error = 3.8693469256137544214475553305337e-07 % h = 0.0001 y1[1] (analytic) = 1.9985043279879048355114329393582 y1[1] (numeric) = 1.998504327950700679097511377579 absolute error = 3.72041564139215617792e-11 relative error = 1.8615999921991024760180370754642e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1846.3MB, alloc=4.6MB, time=101.30 NO POLE NO POLE x[1] = 0.0548 y2[1] (analytic) = 1.0547725763527060344884209370033 y2[1] (numeric) = 1.0547725804710398548187511793867 absolute error = 4.1183338203303302423834e-09 relative error = 3.9044756307289488401643050297978e-07 % h = 0.0001 y1[1] (analytic) = 1.9984988557227729681241579270516 y1[1] (numeric) = 1.9984988556851588525650861139303 absolute error = 3.76141155590718131213e-11 relative error = 1.8821184436189416672316867280521e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1850.1MB, alloc=4.6MB, time=101.51 x[1] = 0.0549 y2[1] (analytic) = 1.0548724259642490137740516611573 y2[1] (numeric) = 1.0548724301202962619194584326236 absolute error = 4.1560472481454067714663e-09 relative error = 3.9398576982865040495142654648057e-07 % h = 0.0001 y1[1] (analytic) = 1.9984933734726525518299770284196 y1[1] (numeric) = 1.9984933734346247195093916285196 absolute error = 3.80278323205853999000e-11 relative error = 1.9028250393698778001681423406019e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.055 y2[1] (analytic) = 1.0549722750270677338744624637872 y2[1] (numeric) = 1.0549722792211041922074456393763 absolute error = 4.1940364583329831755891e-09 relative error = 3.9754944822842624455919807506506e-07 % h = 0.0001 y1[1] (analytic) = 1.9984878812375984091300487209863 y1[1] (numeric) = 1.9984878811991530749286079822168 absolute error = 3.84453342014407387695e-11 relative error = 1.9237211574999792507214053185587e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1853.9MB, alloc=4.6MB, time=101.72 NO POLE NO POLE x[1] = 0.0551 y2[1] (analytic) = 1.055072123540163704162298219412 y2[1] (numeric) = 1.0550721277724666648078576721015 absolute error = 4.2323029606455594526895e-09 relative error = 4.0113873414118757903365697783875e-07 % h = 0.0001 y1[1] (analytic) = 1.9984823790176654623748686631256 y1[1] (numeric) = 1.998482378978798813519551750075 absolute error = 3.88666488553169130506e-11 relative error = 1.9448081836188836215232618496221e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1857.8MB, alloc=4.6MB, time=101.93 NO POLE NO POLE x[1] = 0.0552 y2[1] (analytic) = 1.0551719715025384395074312960955 y2[1] (numeric) = 1.0551719757733867098430668967702 absolute error = 4.2708482703356356006747e-09 relative error = 4.0475376390580719393415955578591e-07 % h = 0.0001 y1[1] (analytic) = 1.9984768668129087337637204705566 y1[1] (numeric) = 1.998476866773616929676577297826 absolute error = 3.92918040871431727306e-11 relative error = 1.9660875109254667569841731068339e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1861.6MB, alloc=4.6MB, time=102.13 NO POLE NO POLE x[1] = 0.0553 y2[1] (analytic) = 1.0552718189131934602869464067393 y2[1] (numeric) = 1.0552718232228673684526580241607 absolute error = 4.3096739081657116174214e-09 relative error = 4.0839467433179175066942848925371e-07 % h = 0.0001 y1[1] (analytic) = 1.998471344623383345344125494351 y1[1] (numeric) = 1.9984713445836625174904760598881 absolute error = 3.97208278536494344629e-11 relative error = 1.9875605402355628210819006405404e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1865.4MB, alloc=4.6MB, time=102.35 NO POLE NO POLE x[1] = 0.0554 y2[1] (analytic) = 1.0553716657711302923951254053033 y2[1] (numeric) = 1.0553716701199116928134129060787 absolute error = 4.3487814004182875007754e-09 relative error = 4.1206160270000764697683929860648e-07 % h = 0.0001 y1[1] (analytic) = 1.9984658124491445190112916004588 y1[1] (numeric) = 1.998465812408990770747373818891 absolute error = 4.01537482639177815678e-11 relative error = 2.0092286800097354418557023842475e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1869.2MB, alloc=4.6MB, time=102.57 NO POLE NO POLE x[1] = 0.0555 y2[1] (analytic) = 1.0554715120753504672534320278551 y2[1] (numeric) = 1.055471516463522746159295276406 absolute error = 4.3881722789058632485509e-09 relative error = 4.1575468676340647168946332536417e-07 % h = 0.0001 y1[1] (analytic) = 1.9984602702902475765075609507564 y1[1] (numeric) = 1.9984602702496569829276259867246 absolute error = 4.05905935799349640318e-11 relative error = 2.0310933463810999263609347131008e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1873.0MB, alloc=4.6MB, time=102.77 NO POLE NO POLE x[1] = 0.0556 y2[1] (analytic) = 1.0555713578248555218204965783463 y2[1] (numeric) = 1.0555713622527036028014354368769 absolute error = 4.4278480809809388585306e-09 relative error = 4.1947406474775005408316499130898e-07 % h = 0.0001 y1[1] (analytic) = 1.9984547181467479394218567856237 y1[1] (numeric) = 1.9984547181057165472047108871158 absolute error = 4.10313922171458985079e-11 relative error = 2.0531559631831965501062547727075e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1876.8MB, alloc=4.6MB, time=102.98 NO POLE NO POLE x[1] = 0.0557 y2[1] (analytic) = 1.0556712030186469986021005590187 y2[1] (numeric) = 1.0556712074864573481481148874834 absolute error = 4.4678103495460143284647e-09 relative error = 4.2321987535233510809557796984498e-07 % h = 0.0001 y1[1] (analytic) = 1.9984491560187011291891292080551 y1[1] (numeric) = 1.9984491559772249564441210397396 absolute error = 4.14761727450081683155e-11 relative error = 2.0754179619779149248076300632729e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1880.6MB, alloc=4.6MB, time=103.18 x[1] = 0.0558 y2[1] (analytic) = 1.0557710476557264456611612453375 y2[1] (numeric) = 1.0557710521637870787247509014085 absolute error = 4.5080606330635896560710e-09 relative error = 4.2699225775071747170898464995787e-07 % h = 0.0001 y1[1] (analytic) = 1.9984435839061627670897999693109 y1[1] (numeric) = 1.9984435838642378032022524458704 absolute error = 4.19249638875475234405e-11 relative error = 2.0978807820834694484006004936234e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0559 y2[1] (analytic) = 1.0558708917350954166277162053542 y2[1] (numeric) = 1.0558708962836959021938810443884 absolute error = 4.5486004855661648390342e-09 relative error = 4.3079135159143594178854621138828e-07 % h = 0.0001 y1[1] (analytic) = 1.9984380018091885742492062561133 y1[1] (numeric) = 1.9984380017668107797252918755781 absolute error = 4.23777945239143805352e-11 relative error = 2.1205458706024258412093621989135e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1884.5MB, alloc=4.6MB, time=103.40 NO POLE NO POLE x[1] = 0.056 y2[1] (analytic) = 1.0559707352557554707089077633976 y2[1] (numeric) = 1.0559707398451869373751476384034 absolute error = 4.5894314666662398750058e-09 relative error = 4.3461729699873570466745480829799e-07 % h = 0.0001 y1[1] (analytic) = 1.9984324097278343716370434793934 y1[1] (numeric) = 1.9984324096849996779481021564751 absolute error = 4.28346936889413229183e-11 relative error = 2.1434146824497787722134325040093e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1888.3MB, alloc=4.6MB, time=103.61 NO POLE NO POLE x[1] = 0.0561 y2[1] (analytic) = 1.0560705782167081726989674079944 y2[1] (numeric) = 1.0560705828472633142652821695975 absolute error = 4.6305551415663147616031e-09 relative error = 4.3847023457329136277011632210088e-07 % h = 0.0001 y1[1] (analytic) = 1.998426807662156080066807064595 y1[1] (numeric) = 1.9984268076188603894931054640198 absolute error = 4.32956905737016005752e-11 relative error = 2.1664886803810805793548154842159e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1892.1MB, alloc=4.6MB, time=103.81 NO POLE NO POLE x[1] = 0.0562 y2[1] (analytic) = 1.0561704206169550929892001439184 y2[1] (numeric) = 1.0561704252889281740580896403278 absolute error = 4.6719730810688894964094e-09 relative error = 4.4235030539292955756462490485784e-07 % h = 0.0001 y1[1] (analytic) = 1.9984211956122097201952332435397 y1[1] (numeric) = 1.9984211955684489056691646133824 absolute error = 4.37608145260686301573e-11 relative error = 2.1897693350206210877606928101841e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1895.9MB, alloc=4.6MB, time=104.02 NO POLE NO POLE x[1] = 0.0563 y2[1] (analytic) = 1.0562702624554978075779687882689 y2[1] (numeric) = 1.0562702671691846691644328652421 absolute error = 4.7136868615864640769732e-09 relative error = 4.4625765101335118913519522318632e-07 % h = 0.0001 y1[1] (analytic) = 1.9984155735780514125217388478604 y1[1] (numeric) = 1.9984155735338213174704623528777 absolute error = 4.42300950512764949827e-11 relative error = 2.2132581248896585299489746312478e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1899.7MB, alloc=4.6MB, time=104.23 NO POLE NO POLE x[1] = 0.0564 y2[1] (analytic) = 1.0563701037313378980806782104793 y2[1] (numeric) = 1.0563701084870359632322167112871 absolute error = 4.7556980651515385008078e-09 relative error = 4.5019241346885323266537132399513e-07 % h = 0.0001 y1[1] (analytic) = 1.9984099415597373773878601040075 y1[1] (numeric) = 1.9984099415150338155753786589716 absolute error = 4.47035618124814450359e-11 relative error = 2.2369565364347015718510224402014e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1903.5MB, alloc=4.6MB, time=104.44 NO POLE NO POLE x[1] = 0.0565 y2[1] (analytic) = 1.0564699444434769517397595161542 y2[1] (numeric) = 1.0564699492414852311663722815451 absolute error = 4.7980082794266127653909e-09 relative error = 4.5415473527305015212247276089277e-07 % h = 0.0001 y1[1] (analytic) = 1.9984042995573239349766904298337 y1[1] (numeric) = 1.9984042995121426903453660328661 absolute error = 4.51812446313243969676e-11 relative error = 2.2608660640558424486681589364040e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1907.3MB, alloc=4.6MB, time=104.65 x[1] = 0.0566 y2[1] (analytic) = 1.0565697845909165614346541746369 y2[1] (numeric) = 1.0565697894315356591488410428014 absolute error = 4.8406190977141868681645e-09 relative error = 4.5814475941959491143361722963374e-07 % h = 0.0001 y1[1] (analytic) = 1.9983986475708675053123172327641 y1[1] (numeric) = 1.9983986475252043318238227986688 absolute error = 4.56631734884944340953e-11 relative error = 2.2849882101351412145657317527849e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0567 y2[1] (analytic) = 1.0566696241726583256917980902068 y2[1] (numeric) = 1.0566696290561904446585588967406 absolute error = 4.8835321189667608065338e-09 relative error = 4.6216262938289958344331998125787e-07 % h = 0.0001 y1[1] (analytic) = 1.9983929856004246082592577095552 y1[1] (numeric) = 1.9983929855542752297349644031527 absolute error = 4.61493785242933064025e-11 relative error = 2.3093244850650611100705493378582e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1911.2MB, alloc=4.6MB, time=104.86 NO POLE NO POLE x[1] = 0.0568 y2[1] (analytic) = 1.0567694631877038486946056168069 y2[1] (numeric) = 1.0567694681144527964914401946739 absolute error = 4.9267489477968345778670e-09 relative error = 4.6620848911885555694278577716684e-07 % h = 0.0001 y1[1] (analytic) = 1.9983873136460518635218936476506 y1[1] (numeric) = 1.9983873135994119734826927171112 absolute error = 4.66398900392009305394e-11 relative error = 2.3338764072769550512998784038923e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1915.0MB, alloc=4.6MB, time=105.06 NO POLE NO POLE x[1] = 0.0569 y2[1] (analytic) = 1.0568693016350547402934535162008 y2[1] (numeric) = 1.056869306605325934780361695696 absolute error = 4.9702711944869081794952e-09 relative error = 4.7028248306555334206056626782309e-07 % h = 0.0001 y1[1] (analytic) = 1.9983816317078059906439052281375 y1[1] (numeric) = 1.9983816316606712521494633383151 absolute error = 4.71347384944418898224e-11 relative error = 2.3586455032696032448771373176589e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1918.8MB, alloc=4.6MB, time=105.27 NO POLE NO POLE x[1] = 0.057 y2[1] (analytic) = 1.0569691395137126160156648594609 y2[1] (numeric) = 1.0569691445278130910151464681725 absolute error = 5.0141004749994816087116e-09 relative error = 4.7438475614400197430406859072515e-07 % h = 0.0001 y1[1] (analytic) = 1.9983759397857438090077038303105 y1[1] (numeric) = 1.998375939738109854495150896076 absolute error = 4.76339545125529342345e-11 relative error = 2.3836333076378019326367808167139e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1922.6MB, alloc=4.6MB, time=105.48 NO POLE NO POLE x[1] = 0.0571 y2[1] (analytic) = 1.0570689768226790970754928716871 y2[1] (numeric) = 1.057068981880917508062547734458 absolute error = 5.0582384109870548627709e-09 relative error = 4.7851545375884801754137485103707e-07 % h = 0.0001 y1[1] (analytic) = 1.9983702378799222378338638378477 y1[1] (numeric) = 1.9983702378317846689559123574227 absolute error = 4.81375688779514804250e-11 relative error = 2.4088413631010032700428925783075e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1926.4MB, alloc=4.6MB, time=105.69 NO POLE NO POLE x[1] = 0.0572 y2[1] (analytic) = 1.0571688135609558103841047198555 y2[1] (numeric) = 1.0571688186636424401862326587446 absolute error = 5.1026866298021279388891e-09 relative error = 4.8267472179909416621257898943333e-07 % h = 0.0001 y1[1] (analytic) = 1.9983645259903982961805534466057 y1[1] (numeric) = 1.9983645259417526836430483348962 absolute error = 4.86456125375051117095e-11 relative error = 2.4342712205320063423832769680508e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1930.2MB, alloc=4.6MB, time=105.90 NO POLE NO POLE x[1] = 0.0573 y2[1] (analytic) = 1.0572686497275443885595652436986 y2[1] (numeric) = 1.0572686548749911530667660779417 absolute error = 5.1474467645072008342431e-09 relative error = 4.8686270663881744705958511245632e-07 % h = 0.0001 y1[1] (analytic) = 1.9983588041172291029429644740383 y1[1] (numeric) = 1.9983588040680709863418623959681 absolute error = 4.91581166011020780702e-11 relative error = 2.4599244389856993227579722078623e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1934.1MB, alloc=4.6MB, time=106.10 NO POLE NO POLE x[1] = 0.0574 y2[1] (analytic) = 1.0573684853214464699368206295166 y2[1] (numeric) = 1.0573684905139669238215941754863 absolute error = 5.1925204538847735459697e-09 relative error = 4.9107955513788702066314370160171e-07 % h = 0.0001 y1[1] (analytic) = 1.9983530722604718768527411702449 y1[1] (numeric) = 1.9983530722107967645105183740895 absolute error = 4.96751123422227961554e-11 relative error = 2.4858025857278527758332333156768e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1937.9MB, alloc=4.6MB, time=106.31 x[1] = 0.0575 y2[1] (analytic) = 1.0574683203416636985776820268191 y2[1] (numeric) = 1.0574683255795730410250280979848 absolute error = 5.2379093424473460711657e-09 relative error = 4.9532541464268158307591424793132e-07 % h = 0.0001 y1[1] (analytic) = 1.9983473304201839364774080306548 y1[1] (numeric) = 1.9983473303699873052788956813749 absolute error = 5.01966311985123492799e-11 relative error = 2.5119072362639641114793197325830e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0576 y2[1] (analytic) = 1.0575681547871977242808091076989 y2[1] (numeric) = 1.0575681600708128047282275145861 absolute error = 5.2836150804474184068872e-09 relative error = 4.9960043298680636783981597976028e-07 % h = 0.0001 y1[1] (analytic) = 1.9983415785964227002197966103523 y1[1] (numeric) = 1.9983415785456999954474426229273 absolute error = 5.07227047723539874250e-11 relative error = 2.5382399743681531922674726714951e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1941.7MB, alloc=4.6MB, time=106.52 NO POLE NO POLE x[1] = 0.0577 y2[1] (analytic) = 1.0576679886570502025916935688375 y2[1] (numeric) = 1.0576679939866895264791841189862 absolute error = 5.3296393238874905501487e-09 relative error = 5.0390475849180974867597863270176e-07 % h = 0.0001 y1[1] (analytic) = 1.9983358167892456863174713400489 y1[1] (numeric) = 1.9983358167379923214860277128106 absolute error = 5.12533648314436272383e-11 relative error = 2.5648023921121090988837014433815e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1945.5MB, alloc=4.6MB, time=106.72 NO POLE NO POLE x[1] = 0.0578 y2[1] (analytic) = 1.0577678219502227948126425760409 y2[1] (numeric) = 1.0577678273262065293427050739645 absolute error = 5.3759837345300624979236e-09 relative error = 5.0823853996789944313551361520379e-07 % h = 0.0001 y1[1] (analytic) = 1.998330044998710512842154343708 y1[1] (numeric) = 1.9983300449469218695327889916744 absolute error = 5.17886433093653520336e-11 relative error = 2.5915960898940880575291762895854e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1949.3MB, alloc=4.6MB, time=106.93 NO POLE NO POLE x[1] = 0.0579 y2[1] (analytic) = 1.0578676546657171680127621512094 y2[1] (numeric) = 1.0578676600883671479203963983517 absolute error = 5.4226499799076342471423e-09 relative error = 5.1260192671465831749862938666636e-07 % h = 0.0001 y1[1] (analytic) = 1.9983242632248748976991492578283 y1[1] (numeric) = 1.998324263172546325392981346037 absolute error = 5.23285723061679117913e-11 relative error = 2.6186226764679625333892042628516e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1953.1MB, alloc=4.6MB, time=107.14 NO POLE NO POLE x[1] = 0.058 y2[1] (analytic) = 1.0579674868025349950379405016371 y2[1] (numeric) = 1.0579674922721747283706462963302 absolute error = 5.4696397333327057946931e-09 relative error = 5.1699506852175979321027999410670e-07 % h = 0.0001 y1[1] (analytic) = 1.9983184714677966586267640523913 y1[1] (numeric) = 1.9983184714149234745378218292333 absolute error = 5.28731840889422231580e-11 relative error = 2.6458837689723214941748687250792e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1956.9MB, alloc=4.6MB, time=107.35 NO POLE NO POLE x[1] = 0.0581 y2[1] (analytic) = 1.0580673183596779545208312915455 y2[1] (numeric) = 1.058067323876632628428608428966 absolute error = 5.5169546739077771374205e-09 relative error = 5.2141811566968285513934781625600e-07 % h = 0.0001 y1[1] (analytic) = 1.9983126697275337131957328534785 y1[1] (numeric) = 1.9983126696741112021033329840318 absolute error = 5.34225110923998694467e-11 relative error = 2.6733809929596218478837012105967e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1960.8MB, alloc=4.6MB, time=107.56 NO POLE NO POLE x[1] = 0.0582 y2[1] (analytic) = 1.0581671493361477308908368557483 y2[1] (numeric) = 1.0581671549007442174261851278738 absolute error = 5.5645964865353482721255e-09 relative error = 5.2587121893042666194912141092543e-07 % h = 0.0001 y1[1] (analytic) = 1.9983068580041440788086367675648 y1[1] (numeric) = 1.9983068579501674928891841669279 absolute error = 5.39765859194526006369e-11 relative error = 2.7011159824253910588278433729049e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1964.6MB, alloc=4.6MB, time=107.77 x[1] = 0.0583 y2[1] (analytic) = 1.0582669797309460143840913553491 y2[1] (numeric) = 1.0582669853435128763120105509136 absolute error = 5.6125668619279191955645e-09 relative error = 5.3035452956822475886588764230304e-07 % h = 0.0001 y1[1] (analytic) = 1.9983010362976858726993237074928 y1[1] (numeric) = 1.9983010362431504313575308741187 absolute error = 5.45354413417928333741e-11 relative error = 2.7290903798374809459953413464562e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0584 y2[1] (analytic) = 1.0583668095430745010534438753716 y2[1] (numeric) = 1.058366815203941997671433779821 absolute error = 5.6608674966179899044494e-09 relative error = 5.3486819934025889313283911099606e-07 % h = 0.0001 y1[1] (analytic) = 1.9982952046082173119323272201352 y1[1] (numeric) = 1.9982952045531182016318520691647 absolute error = 5.50991103004751509705e-11 relative error = 2.7573058361653726679324899181926e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1968.4MB, alloc=4.6MB, time=107.97 NO POLE NO POLE x[1] = 0.0585 y2[1] (analytic) = 1.0584666387715348927784414642232 y2[1] (numeric) = 1.0584666444810349857465018596695 absolute error = 5.7095000929680603954463e-09 relative error = 5.3941238049737243243582127031797e-07 % h = 0.0001 y1[1] (analytic) = 1.9982893629357967134022843157498 y1[1] (numeric) = 1.9982893628801290874957855123454 absolute error = 5.56676259064988034044e-11 relative error = 2.7857640109095328981271401096505e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1972.2MB, alloc=4.6MB, time=108.18 NO POLE NO POLE x[1] = 0.0586 y2[1] (analytic) = 1.0585664674153288972753121148907 y2[1] (numeric) = 1.0585664731737952564559427800663 absolute error = 5.7584663591806306651756e-09 relative error = 5.4398722578478338658776887465891e-07 % h = 0.0001 y1[1] (analytic) = 1.9982835112804824938333522990335 y1[1] (numeric) = 1.998283511224241472391961091713 absolute error = 5.62410214413912073205e-11 relative error = 2.8144665721308211951152614803409e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1976.0MB, alloc=4.6MB, time=108.40 NO POLE NO POLE x[1] = 0.0587 y2[1] (analytic) = 1.0586662954734582281069476877702 y2[1] (numeric) = 1.0586663012812262374151483979811 absolute error = 5.8077680093082007102109e-09 relative error = 5.4859288844279703275798621373944e-07 % h = 0.0001 y1[1] (analytic) = 1.9982776496423331697786246018814 y1[1] (numeric) = 1.9982776495855138394208321558515 absolute error = 5.68193303577924460299e-11 relative error = 2.8434151964799485713700859013372e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1979.8MB, alloc=4.6MB, time=108.61 NO POLE NO POLE x[1] = 0.0588 y2[1] (analytic) = 1.0587661229449246046928867750294 y2[1] (numeric) = 1.0587661288023313679561573021083 absolute error = 5.8574067632632705270789e-09 relative error = 5.5322952220751814453269434320000e-07 % h = 0.0001 y1[1] (analytic) = 1.9982717780214073576195456178561 y1[1] (numeric) = 1.9982717779640047713395048483462 absolute error = 5.74025862800407695099e-11 relative error = 2.8726115692269872651053943674643e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1983.6MB, alloc=4.6MB, time=108.81 NO POLE NO POLE x[1] = 0.0589 y2[1] (analytic) = 1.0588659498287297523192975064042 y2[1] (numeric) = 1.0588659557361140991476376186628 absolute error = 5.9073843468283401122586e-09 relative error = 5.5789728131156282509271539005362e-07 % h = 0.0001 y1[1] (analytic) = 1.9982658964177637735653245383741 y1[1] (numeric) = 1.9982658963597729505605654439699 absolute error = 5.79908230047590944042e-11 relative error = 2.9020573842909317191567108565668e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1987.5MB, alloc=4.6MB, time=109.02 NO POLE NO POLE x[1] = 0.059 y2[1] (analytic) = 1.0589657761238754021489602963286 y2[1] (numeric) = 1.0589657820815778938148697585093 absolute error = 5.9577024916659094621807e-09 relative error = 5.6259632048476994479422512857328e-07 % h = 0.0001 y1[1] (analytic) = 1.9982600048314612336523481906139 y1[1] (numeric) = 1.9982600047728771591509056865912 absolute error = 5.85840745014425040227e-11 relative error = 2.9317543442693107710412882489146e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1991.3MB, alloc=4.6MB, time=109.23 NO POLE NO POLE x[1] = 0.0591 y2[1] (analytic) = 1.0590656018293632912312505322985 y2[1] (numeric) = 1.0590656078377262265597291055258 absolute error = 6.0083629353284785732273e-09 relative error = 5.6732679495491218343824502294182e-07 % h = 0.0001 y1[1] (analytic) = 1.9982541032625586537435928771529 y1[1] (numeric) = 1.998254103203376278830546128811 absolute error = 5.91823749130467483419e-11 relative error = 2.9617041604678510583950308837900e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1995.1MB, alloc=4.6MB, time=109.44 x[1] = 0.0592 y2[1] (analytic) = 1.0591654269441951625121212043699 y2[1] (numeric) = 1.0591654330035625837806686461008 absolute error = 6.0593674212685474417309e-09 relative error = 5.7208886044840667751425680341562e-07 % h = 0.0001 y1[1] (analytic) = 1.9982481917111150495280352173376 y1[1] (numeric) = 1.9982481916513292909714574733334 absolute error = 5.97857585565777440042e-11 relative error = 2.9919085529301916438565636577618e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0593 y2[1] (analytic) = 1.0592652514673727648440854756907 y2[1] (numeric) = 1.0592652575780904636927015396649 absolute error = 6.1107176988486160639742e-09 relative error = 5.7688267319102527270337458911375e-07 % h = 0.0001 y1[1] (analytic) = 1.998242270177189536520061990395 y1[1] (numeric) = 1.9982422701167952765963799160765 absolute error = 6.03942599236820743185e-11 relative error = 3.0223692504676498636810190035351e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1998.9MB, alloc=4.6MB, time=109.65 NO POLE NO POLE x[1] = 0.0594 y2[1] (analytic) = 1.0593650753978978529961991939675 y2[1] (numeric) = 1.0593650815603133763473836301566 absolute error = 6.1624155233511844361891e-09 relative error = 5.8170838990860438192603282769423e-07 % h = 0.0001 y1[1] (analytic) = 1.9982363386608413300588789802888 y1[1] (numeric) = 1.9982363385998334163776404910287 absolute error = 6.10079136812384892601e-11 relative error = 3.0530879906890384041531055056585e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2002.7MB, alloc=4.6MB, time=109.85 NO POLE NO POLE x[1] = 0.0595 y2[1] (analytic) = 1.0594648987347721876640433437665 y2[1] (numeric) = 1.0594649049492348436527958983232 absolute error = 6.2144626559887525545567e-09 relative error = 5.8656616782775444921928547426356e-07 % h = 0.0001 y1[1] (analytic) = 1.998230397162129745307918822328 y1[1] (numeric) = 1.9982303971005029906359684168575 absolute error = 6.16267546719504054705e-11 relative error = 3.0840665200305336100063190374772e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2006.5MB, alloc=4.6MB, time=110.06 NO POLE NO POLE x[1] = 0.0596 y2[1] (analytic) = 1.0595647214769975354797064395497 y2[1] (numeric) = 1.0595647277438583993935268547556 absolute error = 6.2668608639138204152059e-09 relative error = 5.9145616467656901972823156540859e-07 % h = 0.0001 y1[1] (analytic) = 1.9982244456811141972542478515328 y1[1] (numeric) = 1.9982244456188633793393084452756 absolute error = 6.22508179149394062572e-11 relative error = 3.1153065937855950290373208017151e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2010.3MB, alloc=4.6MB, time=110.27 NO POLE NO POLE x[1] = 0.0597 y2[1] (analytic) = 1.0596645436235756690217668593453 y2[1] (numeric) = 1.0596645499431875892506548735589 absolute error = 6.3196119202288880142136e-09 relative error = 5.9637853868533341609640849028720e-07 % h = 0.0001 y1[1] (analytic) = 1.998218484217854200707971952765 y1[1] (numeric) = 1.9982184841549740621016322111705 absolute error = 6.28801386063397415945e-11 relative error = 3.1468099761349361971567325262180e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2014.2MB, alloc=4.6MB, time=110.48 NO POLE NO POLE x[1] = 0.0598 y2[1] (analytic) = 1.059764365173508366825275118954 y2[1] (numeric) = 1.0597643715462259708217304665574 absolute error = 6.3727176039964553476034e-09 relative error = 6.0133344858723302153923495687425e-07 % h = 0.0001 y1[1] (analytic) = 1.9982125127724093703016414126267 y1[1] (numeric) = 1.9982125127088946181817475845041 absolute error = 6.35147521198938281226e-11 relative error = 3.1785784401765466679396210329612e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2018.0MB, alloc=4.6MB, time=110.69 NO POLE NO POLE x[1] = 0.0599 y2[1] (analytic) = 1.0598641861257974133917360865898 y2[1] (numeric) = 1.0598641925519771136407584979352 absolute error = 6.4261797002490224113454e-09 relative error = 6.0632105361906116988494031496408e-07 % h = 0.0001 y1[1] (analytic) = 1.998206531344839420489654773136 y1[1] (numeric) = 1.9982065312806847264821060239879 absolute error = 6.41546940075487491481e-11 relative error = 3.2106137679557652910363883477905e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2021.8MB, alloc=4.6MB, time=110.90 NO POLE NO POLE x[1] = 0.06 y2[1] (analytic) = 1.059964006479444599199091137857 y2[1] (numeric) = 1.0599640129594445991981803392124 absolute error = 6.4799999999990892013554e-09 relative error = 6.1134151352192664286682780571418e-07 % h = 0.0001 y1[1] (analytic) = 1.9982005399352041655476616871828 y1[1] (numeric) = 1.9982005398704041655476079325391 absolute error = 6.48000000000537546437e-11 relative error = 3.2429177504954047435467361085738e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0601 y2[1] (analytic) = 1.060063826233451720711700250962 y2[1] (numeric) = 1.0600638327676320209608559644564 absolute error = 6.5341803002491557134944e-09 relative error = 6.1639498854196077495078159272853e-07 % h = 0.0001 y1[1] (analytic) = 1.9981945385435635195719647757737 y1[1] (numeric) = 1.998194538478112813564406014525 absolute error = 6.54507060075587612487e-11 relative error = 3.2754921878259273186567302249699e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2025.6MB, alloc=4.6MB, time=111.10 NO POLE NO POLE x[1] = 0.0602 y2[1] (analytic) = 1.060163645386820580390324042062 y2[1] (numeric) = 1.0601636519755429843920459856296 absolute error = 6.5887224040017219435676e-09 relative error = 6.2148163943102416598158403795383e-07 % h = 0.0001 y1[1] (analytic) = 1.9981885271699774964789204870685 y1[1] (numeric) = 1.9981885271038706483587066348002 absolute error = 6.61068481202138522683e-11 relative error = 3.3083388890156719756660192758197e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2029.4MB, alloc=4.6MB, time=111.32 NO POLE NO POLE x[1] = 0.0603 y2[1] (analytic) = 1.0602634639385529867021057406484 y2[1] (numeric) = 1.0602634705821811069713936279728 absolute error = 6.6436281202692878873244e-09 relative error = 6.2660162744741300193164382325921e-07 % h = 0.0001 y1[1] (analytic) = 1.9981825058145062100043389572179 y1[1] (numeric) = 1.9981825057477377473955691795437 absolute error = 6.67684626087697776742e-11 relative error = 3.3414596722011326557646518040567e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2033.2MB, alloc=4.6MB, time=111.54 NO POLE NO POLE x[1] = 0.0604 y2[1] (analytic) = 1.0603632818876507541305531048677 y2[1] (numeric) = 1.0603632885865500182149066453245 absolute error = 6.6988992640843535404568e-09 relative error = 6.3175511435656498403516603417342e-07 % h = 0.0001 y1[1] (analytic) = 1.9981764744772098737028828730053 y1[1] (numeric) = 1.9981764744097742877777034189013 absolute error = 6.74355859251794541040e-11 relative error = 3.3748563646172878676759025967391e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2037.1MB, alloc=4.6MB, time=111.74 NO POLE NO POLE x[1] = 0.0605 y2[1] (analytic) = 1.0604630992331157031855202766775 y2[1] (numeric) = 1.0604631059876533596949391752773 absolute error = 6.7545376565094188985998e-09 relative error = 6.3694226243176486659119756777125e-07 % h = 0.0001 y1[1] (analytic) = 1.9981704331581488009474653363013 y1[1] (numeric) = 1.9981704330900405462442648714393 absolute error = 6.81082547032004648620e-11 relative error = 3.4085308026279815475439392054244e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2040.9MB, alloc=4.6MB, time=111.95 NO POLE NO POLE x[1] = 0.0606 y2[1] (analytic) = 1.0605629159739496604131895767401 y2[1] (numeric) = 1.06056292278449478506017353407 absolute error = 6.8105451246469839573299e-09 relative error = 6.4216323445484960371809133837683e-07 % h = 0.0001 y1[1] (analytic) = 1.9981643818573834049286467303345 y1[1] (numeric) = 1.9981643817885968991696481704162 absolute error = 6.87865057589985599183e-11 relative error = 3.4424848317563551971670926302950e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2044.7MB, alloc=4.6MB, time=112.17 NO POLE NO POLE x[1] = 0.0607 y2[1] (analytic) = 1.0606627321091544584060532389522 y2[1] (numeric) = 1.060662738976077960055601951117 absolute error = 6.8669235016495487121648e-09 relative error = 6.4741819371691310534241066371126e-07 % h = 0.0001 y1[1] (analytic) = 1.9981583205749741986540305877867 y1[1] (numeric) = 1.9981583205055038225622784318773 absolute error = 6.94703760917521559094e-11 relative error = 3.4767203067153313049999746480711e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2048.5MB, alloc=4.6MB, time=112.38 NO POLE NO POLE x[1] = 0.0608 y2[1] (analytic) = 1.0607625476377319358128950845115 y2[1] (numeric) = 1.0607625545614065625425082430743 absolute error = 6.9236746267296131585628e-09 relative error = 6.5270730401901060270467913917574e-07 % h = 0.0001 y1[1] (analytic) = 1.9981522493109817949476584607175 y1[1] (numeric) = 1.9981522492408218920634006245793 absolute error = 7.01599028842578361382e-11 relative error = 3.5112390914381480540896357119873e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2052.3MB, alloc=4.6MB, time=112.58 x[1] = 0.0609 y2[1] (analytic) = 1.0608623625586839373487721354209 y2[1] (numeric) = 1.0608623695394842825184494273425 absolute error = 6.9808003451696772919216e-09 relative error = 6.5803072967286262366431245356077e-07 % h = 0.0001 y1[1] (analytic) = 1.9981461680654669064494037923238 y1[1] (numeric) = 1.9981461679946117829458669417504 absolute error = 7.08551235035368505734e-11 relative error = 3.5460430591089453212232454830048e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.061 y2[1] (analytic) = 1.0609621768710123138049961673291 y2[1] (numeric) = 1.0609621839093148221372372749075 absolute error = 7.0383025083322411075784e-09 relative error = 6.6338863550155857808609403128034e-07 % h = 0.0001 y1[1] (analytic) = 1.9981400768384903456143647905424 y1[1] (numeric) = 1.9981400767669342701129221746921 absolute error = 7.15560755014426158503e-11 relative error = 3.5811340921934019716720650357420e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2056.1MB, alloc=4.6MB, time=112.79 NO POLE NO POLE x[1] = 0.0611 y2[1] (analytic) = 1.0610619905737189220591152016099 y2[1] (numeric) = 1.0610619976699018957289198024182 absolute error = 7.0961829736698046008083e-09 relative error = 6.6878118684025995358991262945312e-07 % h = 0.0001 y1[1] (analytic) = 1.9981339756301130247122563034988 y1[1] (numeric) = 1.9981339755578502280969870882286 absolute error = 7.22627966152692152702e-11 relative error = 3.6165140824694244536834526413670e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2059.9MB, alloc=4.6MB, time=113.01 NO POLE NO POLE x[1] = 0.0612 y2[1] (analytic) = 1.0611618036658056250848949365775 y2[1] (numeric) = 1.0611618108202492298197627034019 absolute error = 7.1544436047348677668244e-09 relative error = 6.7420854953690312194590165084882e-07 % h = 0.0001 y1[1] (analytic) = 1.998127864440395955826800696811 y1[1] (numeric) = 1.9981278643674206310584397980104 absolute error = 7.29753247683608988006e-11 relative error = 3.6521849310578866971300710422675e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2063.8MB, alloc=4.6MB, time=113.22 NO POLE NO POLE x[1] = 0.0613 y2[1] (analytic) = 1.0612616161462742919623001177413 y2[1] (numeric) = 1.0612616233593605631522307185178 absolute error = 7.2130862711899306007765e-09 relative error = 6.7967088995290175639632564904096e-07 % h = 0.0001 y1[1] (analytic) = 1.9981217432694002508551177327526 y1[1] (numeric) = 1.9981217431957065527843951496774 absolute error = 7.36936980707225830752e-11 relative error = 3.6881485484534213205725122616186e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2067.6MB, alloc=4.6MB, time=113.43 NO POLE NO POLE x[1] = 0.0614 y2[1] (analytic) = 1.0613614280141267978874758469976 y2[1] (numeric) = 1.0613614352862396467049689447483 absolute error = 7.2721128488174930977507e-09 relative error = 6.8516837496384886018588706514258e-07 % h = 0.0001 y1[1] (analytic) = 1.9981156121171871215071134512821 y1[1] (numeric) = 1.9981156120427691666874820998883 absolute error = 7.44179548196313513938e-11 relative error = 3.7244068545552621510538031265458e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2071.4MB, alloc=4.6MB, time=113.64 NO POLE NO POLE x[1] = 0.0615 y2[1] (analytic) = 1.0614612392683650241827288306597 y2[1] (numeric) = 1.0614612465998902437127840834282 absolute error = 7.3315252195300552527685e-09 relative error = 6.9070117196021840658159618656119e-07 % h = 0.0001 y1[1] (analytic) = 1.9981094709838178793048680529445 y1[1] (numeric) = 1.998109470908669745804619099222 absolute error = 7.51481335002489537225e-11 relative error = 3.7609617786981380609664661350814e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2075.2MB, alloc=4.6MB, time=113.84 NO POLE NO POLE x[1] = 0.0616 y2[1] (analytic) = 1.0615610499079908583065085662269 y2[1] (numeric) = 1.061561057299316129686625627013 absolute error = 7.3913252713801170607861e-09 relative error = 6.9626944884806659066336405700999e-07 % h = 0.0001 y1[1] (analytic) = 1.9981033198693539355820227836508 y1[1] (numeric) = 1.9981033197934696627957874769573 absolute error = 7.58842727862353066935e-11 relative error = 3.7978152596832181262849563682740e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2079.0MB, alloc=4.6MB, time=114.05 NO POLE NO POLE x[1] = 0.0617 y2[1] (analytic) = 1.0616608599320061938633884677912 y2[1] (numeric) = 1.0616608673835210924335669844851 absolute error = 7.4515148985701785166939e-09 relative error = 7.0187337404973269316623102799184e-07 % h = 0.0001 y1[1] (analytic) = 1.9980971587738568014831658213424 y1[1] (numeric) = 1.998097158697230389942802827737 absolute error = 7.66264115403629936054e-11 relative error = 3.8349692458091081105435689105952e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2082.8MB, alloc=4.6MB, time=114.26 x[1] = 0.0618 y2[1] (analytic) = 1.0617606693394129306140469299838 y2[1] (numeric) = 1.0617606768515089320767865452989 absolute error = 7.5120960014627396153151e-09 relative error = 7.0751311650453955665485911275735e-07 % h = 0.0001 y1[1] (analytic) = 1.9980909876973880879632171645452 y1[1] (numeric) = 1.9980909876200134991480844001228 absolute error = 7.73745888151327644224e-11 relative error = 3.8724256949028982788219920141306e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0619 y2[1] (analytic) = 1.0618604781292129744852483303594 y2[1] (numeric) = 1.0618604857022834610755486817652 absolute error = 7.5730704865903003514058e-09 relative error = 7.1318884566949367431106519125577e-07 % h = 0.0001 y1[1] (analytic) = 1.9980848066400095057868125228217 y1[1] (numeric) = 1.9980848065618806619334224870463 absolute error = 7.81288438533900357754e-11 relative error = 3.9101865743512625462380994645271e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2086.6MB, alloc=4.6MB, time=114.47 NO POLE NO POLE x[1] = 0.062 y2[1] (analytic) = 1.0619602863004082375798239701208 y2[1] (numeric) = 1.0619602939348485042451846897742 absolute error = 7.6344402666653607196534e-09 relative error = 7.1890073151998489161446394443681e-07 % h = 0.0001 y1[1] (analytic) = 1.9980786156017828655276862091243 y1[1] (numeric) = 1.9980786155228936494387438181632 absolute error = 7.88892160889423909611e-11 relative error = 3.9482538611316089651094479594717e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2090.5MB, alloc=4.6MB, time=114.67 NO POLE NO POLE x[1] = 0.0621 y2[1] (analytic) = 1.0620600938520006381866529530819 y2[1] (numeric) = 1.0620601015482078987770736677584 absolute error = 7.6962072605904207146765e-09 relative error = 7.2464894455048572119671167880185e-07 % h = 0.0001 y1[1] (analytic) = 1.9980724145827700775680530340592 y1[1] (numeric) = 1.9980724145031143324208749541166 absolute error = 7.96557451471780799426e-11 relative error = 3.9866295418432815553224984763530e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2094.3MB, alloc=4.6MB, time=114.88 NO POLE NO POLE x[1] = 0.0622 y2[1] (analytic) = 1.0621599007829921007906430027708 y2[1] (numeric) = 1.0621599085413654942586233337944 absolute error = 7.7583733934679803310236e-09 relative error = 7.3043365577525027114910608397134e-07 % h = 0.0001 y1[1] (analytic) = 1.9980662035830331520979892020641 y1[1] (numeric) = 1.9980662035026046812523036827154 absolute error = 8.04284708456855193487e-11 relative error = 4.0253156127388134821404817875392e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2098.1MB, alloc=4.6MB, time=115.09 NO POLE NO POLE x[1] = 0.0623 y2[1] (analytic) = 1.0622597070923845560827112175722 y2[1] (numeric) = 1.0622597149133251526932507807448 absolute error = 7.8209405966105395631726e-09 relative error = 7.3625503672901278706355931734243e-07 % h = 0.0001 y1[1] (analytic) = 1.9980599826026341991148122095087 y1[1] (numeric) = 1.9980599825214267659199384170339 absolute error = 8.12074331948737924748e-11 relative error = 4.0643140797552315859733038872771e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2101.9MB, alloc=4.6MB, time=115.29 NO POLE NO POLE x[1] = 0.0624 y2[1] (analytic) = 1.0623595127791799409697647638101 y2[1] (numeric) = 1.0623595206630907485203631693401 absolute error = 7.8839108075505984055300e-09 relative error = 7.4211325946768580808648969891117e-07 % h = 0.0001 y1[1] (analytic) = 1.9980537516416354284224597447214 y1[1] (numeric) = 1.9980537515596427560238655954393 absolute error = 8.19926723985941492821e-11 relative error = 4.1036269585454122683297917666654e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2105.7MB, alloc=4.6MB, time=115.50 NO POLE NO POLE x[1] = 0.0625 y2[1] (analytic) = 1.0624593178423801985846815066702 y2[1] (numeric) = 1.0624593257896661686353383591003 absolute error = 7.9472859700506568524301e-09 relative error = 7.4800849656905793726512910739247e-07 % h = 0.0001 y1[1] (analytic) = 1.9980475107000991496308675899508 y1[1] (numeric) = 1.9980475106173149207761050835527 absolute error = 8.27842288547625063981e-11 relative error = 4.1432562745094887384950873572101e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2109.5MB, alloc=4.6MB, time=115.71 x[1] = 0.0626 y2[1] (analytic) = 1.0625591222809872782962905788633 y2[1] (numeric) = 1.062559130292055312409505476997 absolute error = 8.0110680341132148981337e-09 relative error = 7.5394092113349122646548794457313e-07 % h = 0.0001 y1[1] (analytic) = 1.9980412597780877721553465252667 y1[1] (numeric) = 1.9980412596945056289993635781504 absolute error = 8.35821431559829471163e-11 relative error = 4.1832040628263096252279555679999e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0627 y2[1] (analytic) = 1.0626589260940031357193528869278 y2[1] (numeric) = 1.062658934169262091710125423756 absolute error = 8.0752589559907725368282e-09 relative error = 7.5991070678461817614126563214120e-07 % h = 0.0001 y1[1] (analytic) = 1.9980349988756638052159582344074 y1[1] (numeric) = 1.9980349987912773491257860130113 absolute error = 8.43864560901722213961e-11 relative error = 4.2234723684849489579351271576161e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2113.3MB, alloc=4.6MB, time=115.91 NO POLE NO POLE x[1] = 0.0628 y2[1] (analytic) = 1.0627587292804297327245415550748 y2[1] (numeric) = 1.0627587374202904309203713177006 absolute error = 8.1398606981958297626258e-09 relative error = 7.6591802767003835023232551796500e-07 % h = 0.0001 y1[1] (analytic) = 1.9980287279928898578368902125802 y1[1] (numeric) = 1.9980287279076926491957049667167 absolute error = 8.51972086411852458635e-11 relative error = 4.2640632463162675217669843677248e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2117.2MB, alloc=4.6MB, time=116.12 NO POLE NO POLE x[1] = 0.0629 y2[1] (analytic) = 1.0628585318392690374484223064724 y2[1] (numeric) = 1.0628585400441442669593088760357 absolute error = 8.2048752295108865695633e-09 relative error = 7.7196305846201460647181355216449e-07 % h = 0.0001 y1[1] (analytic) = 1.9980224471298286388458296762191 y1[1] (numeric) = 1.9980224470438141968563880724092 absolute error = 8.60144419894416038099e-11 relative error = 4.3049787610245255909209410230250e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2121.0MB, alloc=4.6MB, time=116.33 NO POLE NO POLE x[1] = 0.063 y2[1] (analytic) = 1.0629583337695230243034337818716 y2[1] (numeric) = 1.0629583420398275493018767334729 absolute error = 8.2703045249984429516013e-09 relative error = 7.7804597435816894238028419867251e-07 % h = 0.0001 y1[1] (analytic) = 1.9980161562865429568733364747094 y1[1] (numeric) = 1.998016156199704759360783429516 absolute error = 8.68381975125530451934e-11 relative error = 4.3462209872190470448014248814681e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2124.8MB, alloc=4.6MB, time=116.53 NO POLE NO POLE x[1] = 0.0631 y2[1] (analytic) = 1.0630581350701936739878677954743 y2[1] (numeric) = 1.0630581434063442399988666980969 absolute error = 8.3361505660109989026226e-09 relative error = 7.8416695108217795722520605808014e-07 % h = 0.0001 y1[1] (analytic) = 1.9980098554630957203522150040819 y1[1] (numeric) = 1.9980098553754272035662630174442 absolute error = 8.76685167859519866377e-11 relative error = 4.3877920094459348712271200530282e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2128.6MB, alloc=4.6MB, time=116.74 NO POLE NO POLE x[1] = 0.0632 y2[1] (analytic) = 1.0631579357402829734958495279415 y2[1] (numeric) = 1.0631579441426983136969039443737 absolute error = 8.4024153402010544164322e-09 relative error = 7.9032616488446793022428509016643e-07 % h = 0.0001 y1[1] (analytic) = 1.9980035446595499375168851226858 y1[1] (numeric) = 1.9980035445710444959333641112531 absolute error = 8.85054415835210114327e-11 relative error = 4.4296939222198380613337791056741e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2132.4MB, alloc=4.6MB, time=116.95 NO POLE NO POLE x[1] = 0.0633 y2[1] (analytic) = 1.0632577357787929161273176564438 y2[1] (numeric) = 1.0632577442478937576584271431997 absolute error = 8.4691008415311094867559e-09 relative error = 7.9652379254290951527035625177950e-07 % h = 0.0001 y1[1] (analytic) = 1.9979972238759687164027520688449 y1[1] (numeric) = 1.9979972237866197025245286993104 absolute error = 8.93490138782233695345e-11 relative error = 4.4719288300557699005078078848904e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2136.2MB, alloc=4.6MB, time=117.16 NO POLE NO POLE x[1] = 0.0634 y2[1] (analytic) = 1.0633575351847255014980044216538 y2[1] (numeric) = 1.0633575437209345717816685288936 absolute error = 8.5362090702836641072398e-09 relative error = 8.0276001136351205245591409459910e-07 % h = 0.0001 y1[1] (analytic) = 1.9979908931124152648455753805039 y1[1] (numeric) = 1.997990893022215989002840902939 absolute error = 9.01992758427344775649e-11 relative error = 4.5144988475009776598131535003718e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2140.0MB, alloc=4.6MB, time=117.36 x[1] = 0.0635 y2[1] (analytic) = 1.0634573339570827355494156315804 y2[1] (numeric) = 1.0634573425608247686206339030294 absolute error = 8.6037420330712182714490e-09 relative error = 8.0903499918111749667479779452552e-07 % h = 0.0001 y1[1] (analytic) = 1.9979845523689528904808368168718 y1[1] (numeric) = 1.9979845522778966206307623980596 absolute error = 9.10562698500744188122e-11 relative error = 4.5574060991668636924663221352639e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0636 y2[1] (analytic) = 1.0635571320948666305588106021457 y2[1] (numeric) = 1.0635571407665683734050825750126 absolute error = 8.6717017428462719728669e-09 relative error = 8.1534893436009396357865902611740e-07 % h = 0.0001 y1[1] (analytic) = 1.9979782016456450007431072820671 y1[1] (numeric) = 1.9979782015537249622688658388368 absolute error = 9.19200384742414432303e-11 relative error = 4.6006527197609579396813237667142e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2143.9MB, alloc=4.6MB, time=117.57 NO POLE NO POLE x[1] = 0.0637 y2[1] (analytic) = 1.0636569295970792051491820344035 y2[1] (numeric) = 1.0636569383371694240605072392979 absolute error = 8.7400902189113252048944e-09 relative error = 8.2170199579502889316546503699842e-07 % h = 0.0001 y1[1] (analytic) = 1.9979718409425551028654127507729 y1[1] (numeric) = 1.9979718408497644783745662833336 absolute error = 9.27906244908464674393e-11 relative error = 4.6442408541189418505238634349984e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2147.7MB, alloc=4.6MB, time=117.78 NO POLE NO POLE x[1] = 0.0638 y2[1] (analytic) = 1.0637567264627224842992358283016 y2[1] (numeric) = 1.0637567352716319712281137891505 absolute error = 8.8089094869288779608489e-09 relative error = 8.2809436291142183127716732825802e-07 % h = 0.0001 y1[1] (analytic) = 1.997965470259746803878599195907 y1[1] (numeric) = 1.9979654701660787330008506211819 absolute error = 9.36680708777485747251e-11 relative error = 4.6881726572367237201360249096693e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2151.5MB, alloc=4.6MB, time=117.98 NO POLE NO POLE x[1] = 0.0639 y2[1] (analytic) = 1.0638565226907984993533708328864 y2[1] (numeric) = 1.0638565315689600782848010668494 absolute error = 8.8781615789314302339630e-09 relative error = 8.3452621566637682928348807703885e-07 % h = 0.0001 y1[1] (analytic) = 1.9979590895972838106106965183143 y1[1] (numeric) = 1.9979590895027313897950050032743 absolute error = 9.45524208156915150400e-11 relative error = 4.7324502943025654509251322797586e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2155.3MB, alloc=4.6MB, time=118.19 NO POLE NO POLE x[1] = 0.064 y2[1] (analytic) = 1.06395631828030928803165853285 y2[1] (numeric) = 1.0639563272281578213631405502345 absolute error = 8.9478485333314820173845e-09 relative error = 8.4099773454929446222875807386700e-07 % h = 0.0001 y1[1] (analytic) = 1.9979526989552299296862814784865 y1[1] (numeric) = 1.9979526988597862119973402734846 absolute error = 9.54437176889412050019e-11 relative error = 4.7770759407292607410974658192899e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2159.1MB, alloc=4.6MB, time=118.40 NO POLE NO POLE x[1] = 0.0641 y2[1] (analytic) = 1.064056113230256894439822671322 y2[1] (numeric) = 1.0640561222482292893713559754963 absolute error = 9.0179723949315333041743e-09 relative error = 8.4750910058256346571809190784466e-07 % h = 0.0001 y1[1] (analytic) = 1.9979462983336490675258396303173 y1[1] (numeric) = 1.9979462982373070624399154024226 absolute error = 9.63420050859242278947e-11 relative error = 4.8220517821863647051749767648064e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2162.9MB, alloc=4.6MB, time=118.61 NO POLE NO POLE x[1] = 0.0642 y2[1] (analytic) = 1.0641559075396433690792188088032 y2[1] (numeric) = 1.0641559166281785840133028961098 absolute error = 9.0885352149340840873066e-09 relative error = 8.5406049532225199181974144638388e-07 % h = 0.0001 y1[1] (analytic) = 1.9979398877326052303451262568981 y1[1] (numeric) = 1.9979398876353579035452589232295 absolute error = 9.72473267998673336686e-11 relative error = 4.8673800146324749309451629624505e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2166.8MB, alloc=4.6MB, time=118.82 NO POLE NO POLE x[1] = 0.0643 y2[1] (analytic) = 1.0642557012074707688568138181445 y2[1] (numeric) = 1.0642557103670098198084481778113 absolute error = 9.1595390509516343596668e-09 relative error = 8.6065210085879848425944490785729e-07 % h = 0.0001 y1[1] (analytic) = 1.9979334671521625241545263083607 y1[1] (numeric) = 1.9979334670540027973250883694212 absolute error = 9.81597268294379389395e-11 relative error = 4.9130628443475639773265072734664e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0644 y2[1] (analytic) = 1.064355494232741157095165315468 y2[1] (numeric) = 1.0643555034637271241118494295196 absolute error = 9.2309859670166841140516e-09 relative error = 8.6728409981770217318326647560141e-07 % h = 0.0001 y1[1] (analytic) = 1.9979270365923851547584133417739 y1[1] (numeric) = 1.9979270364933059053790277147847 absolute error = 9.90792493793856269892e-11 relative error = 4.9591024879653633177642257073112e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2170.6MB, alloc=4.6MB, time=119.04 NO POLE NO POLE x[1] = 0.0645 y2[1] (analytic) = 1.064455286614456603542401026934 y2[1] (numeric) = 1.0644552959173346371341343701011 absolute error = 9.3028780335917333431671e-09 relative error = 8.7395667536021318976442623805088e-07 % h = 0.0001 y1[1] (analytic) = 1.9979205960533374277545074631009 y1[1] (numeric) = 1.9979205959533314888933228153352 absolute error = 1.000059388611846477657e-10 relative error = 5.0055011725057987336581666440516e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2174.4MB, alloc=4.6MB, time=119.25 NO POLE NO POLE x[1] = 0.0646 y2[1] (analytic) = 1.0645550783516191843821980912507 y2[1] (numeric) = 1.0645550877268365119614801308793 absolute error = 9.3752173275792820396286e-09 relative error = 8.8067001118402230093018522749732e-07 % h = 0.0001 y1[1] (analytic) = 1.997914145535083748533232271222 y1[1] (numeric) = 1.9979141454341439086395548533393 absolute error = 1.009398398936774178827e-10 relative error = 5.0522611354074771623219089490557e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2178.2MB, alloc=4.6MB, time=119.46 NO POLE NO POLE x[1] = 0.0647 y2[1] (analytic) = 1.0646548694432309822437622978296 y2[1] (numeric) = 1.0646548788912369145755924937887 absolute error = 9.4480059323318301959591e-09 relative error = 8.8742429152395026448404347954181e-07 % h = 0.0001 y1[1] (analytic) = 1.9979076850376886222770708040311 y1[1] (numeric) = 1.9979076849358076249733517834113 absolute error = 1.018809973037190206198e-10 relative error = 5.0993846245602250040994497529023e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2182.0MB, alloc=4.6MB, time=119.66 NO POLE NO POLE x[1] = 0.0648 y2[1] (analytic) = 1.0647546598882940862118072604849 y2[1] (numeric) = 1.0647546694095400238736850650732 absolute error = 9.5212459376618778045883e-09 relative error = 8.9421970115263680489878290143242e-07 % h = 0.0001 y1[1] (analytic) = 1.9979012145612166539599204866116 y1[1] (numeric) = 1.997901214458387197833097780689 absolute error = 1.028294561268227059226e-10 relative error = 5.1468738983376778931579729507031e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2185.8MB, alloc=4.6MB, time=119.87 NO POLE NO POLE x[1] = 0.0649 y2[1] (analytic) = 1.064854449685810591836533526578 y2[1] (numeric) = 1.06485445928075003168845838443 absolute error = 9.5949394398519248578520e-09 relative error = 9.0105642538122921005553115360598e-07 % h = 0.0001 y1[1] (analytic) = 1.9978947341057325483464470814977 y1[1] (numeric) = 1.997894734001947286738640691095 absolute error = 1.037852616078063904027e-10 relative error = 5.1947312256299219365224504247209e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2189.6MB, alloc=4.6MB, time=120.09 NO POLE NO POLE x[1] = 0.065 y2[1] (analytic) = 1.0649542388347826011436076215074 y2[1] (numeric) = 1.0649542485038711428080789694979 absolute error = 9.6690885416644713479905e-09 relative error = 9.0793465006007054920372378020710e-07 % h = 0.0001 y1[1] (analytic) = 1.9978882436713011099914376410286 y1[1] (numeric) = 1.997888243566552650789997483691 absolute error = 1.047484592014401573376e-10 relative error = 5.2429588858761864259250485142190e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2193.5MB, alloc=4.6MB, time=120.30 NO POLE NO POLE x[1] = 0.0651 y2[1] (analytic) = 1.0650540273342122226441410284434 y2[1] (numeric) = 1.0650540370779075749961582955916 absolute error = 9.7436953523520172671482e-09 relative error = 9.1485456157938751241700315349747e-07 % h = 0.0001 y1[1] (analytic) = 1.9978817432579872432391524618007 y1[1] (numeric) = 1.9978817431522681486660577051303 absolute error = 1.057190945730947566704e-10 relative error = 5.2915591690975880270445281629961e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2197.3MB, alloc=4.6MB, time=120.50 x[1] = 0.0652 y2[1] (analytic) = 1.0651538151831015713446691032091 y2[1] (numeric) = 1.0651538250018635590117317105811 absolute error = 9.8187619876670626073720e-09 relative error = 9.2181634686997787181948412336621e-07 % h = 0.0001 y1[1] (analytic) = 1.9978752328658559522226760412259 y1[1] (numeric) = 1.9978752327591587386232849362155 absolute error = 1.066972135993911050104e-10 relative error = 5.3405343759299264507781127519422e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0653 y2[1] (analytic) = 1.0652536023804527687571299242064 y2[1] (numeric) = 1.0652536122747433386292372848168 absolute error = 9.8942905698721073606104e-09 relative error = 9.2882019340389756485704355950013e-07 % h = 0.0001 y1[1] (analytic) = 1.9978687124949723408632670362013 y1[1] (numeric) = 1.9978687123872894784944162505687 absolute error = 1.076828623688507856326e-10 relative error = 5.3898868176565316110403562962753e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2201.1MB, alloc=4.6MB, time=120.71 NO POLE NO POLE x[1] = 0.0654 y2[1] (analytic) = 1.0653533889252679429088430772881 y2[1] (numeric) = 1.065353398895551170658494596001 absolute error = 9.9702832277496515187129e-09 relative error = 9.3586628919514739988789854087061e-07 % h = 0.0001 y1[1] (analytic) = 1.9978621821454016128697072238969 y1[1] (numeric) = 1.997862182036725525687159675419 absolute error = 1.086760871825475484779e-10 relative error = 5.4396188162411622737809686638877e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2204.9MB, alloc=4.6MB, time=120.92 NO POLE NO POLE x[1] = 0.0655 y2[1] (analytic) = 1.0654531748165492283524883754772 y2[1] (numeric) = 1.0654531848632913249646834489051 absolute error = 1.00467420966121950734279e-08 relative error = 9.4295482280035938436643029131916e-07 % h = 0.0001 y1[1] (analytic) = 1.9978556418172090717376494646686 y1[1] (numeric) = 1.9978556417075321371828896545156 absolute error = 1.096769345547598101530e-10 relative error = 5.4897327043609562017806305271110e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2208.7MB, alloc=4.6MB, time=121.13 NO POLE NO POLE x[1] = 0.0656 y2[1] (analytic) = 1.0655529600532987661760845134308 y2[1] (numeric) = 1.0655529701769680844883225298337 absolute error = 1.01236693183122380164029e-08 relative error = 9.5008598331948267589456047452227e-07 % h = 0.0001 y1[1] (analytic) = 1.9978490915104601207489646671021 y1[1] (numeric) = 1.9978490913997746695353405131715 absolute error = 1.106854512136241539306e-10 relative error = 5.5402308254394317998711402446272e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2212.5MB, alloc=4.6MB, time=121.34 NO POLE NO POLE x[1] = 0.0657 y2[1] (analytic) = 1.0656527446345187040129676565522 y2[1] (numeric) = 1.0656527548355857452652479957348 absolute error = 1.02010670412522803391826e-08 relative error = 9.5725996039646915641404067580442e-07 % h = 0.0001 y1[1] (analytic) = 1.9978425312252202629710877551947 y1[1] (numeric) = 1.9978425311135185788692979254457 absolute error = 1.117016841017898297490e-10 relative error = 5.5911155336795412651583800222872e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2216.3MB, alloc=4.6MB, time=121.55 NO POLE NO POLE x[1] = 0.0658 y2[1] (analytic) = 1.0657525285592111960517699646493 y2[1] (numeric) = 1.0657525388381486164465919978569 absolute error = 1.02789374203948220332076e-08 relative error = 9.6447694421995862981350648998333e-07 % h = 0.0001 y1[1] (analytic) = 1.9978359609615551012563626376814 y1[1] (numeric) = 1.997835960848829420879288383469 absolute error = 1.127256803770742542124e-10 relative error = 5.6423891940967752469439327225979e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2220.2MB, alloc=4.6MB, time=121.76 NO POLE NO POLE x[1] = 0.0659 y2[1] (analytic) = 1.0658523118263784030463980500395 y2[1] (numeric) = 1.0658523221836610203187611398535 absolute error = 1.03572826172723630898140e-08 relative error = 9.7173712552396364322374648255315e-07 % h = 0.0001 y1[1] (analytic) = 1.9978293807195303382413861795123 y1[1] (numeric) = 1.9978293806057728508282666689215 absolute error = 1.137574874131195105908e-10 relative error = 5.6940541825523190209282787737986e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2224.0MB, alloc=4.6MB, time=121.98 NO POLE NO POLE x[1] = 0.066 y2[1] (analytic) = 1.0659520944350224923260113700025 y2[1] (numeric) = 1.0659521048711272923234148702346 absolute error = 1.04361047999974035002321e-08 relative error = 9.7904069558855393227426359673592e-07 % h = 0.0001 y1[1] (analytic) = 1.9978227904992117763463511754871 y1[1] (numeric) = 1.9978227903844146235463013266669 absolute error = 1.147971528000498488202e-10 relative error = 5.7461128857862601823758267095774e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2227.8MB, alloc=4.6MB, time=122.18 x[1] = 0.0661 y2[1] (analytic) = 1.0660518763841456378050005534808 y2[1] (numeric) = 1.0660518868995517810774438090653 absolute error = 1.05154061432724432555845e-08 relative error = 9.8638784624054049058422815049749e-07 % h = 0.0001 y1[1] (analytic) = 1.9978161903006653177743883260534 y1[1] (numeric) = 1.9978161901848205934292581405513 absolute error = 1.158447243451301855021e-10 relative error = 5.7985677014508478628441670259792e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0662 y2[1] (analytic) = 1.0661516576727500199929656619268 y2[1] (numeric) = 1.0661516682679388483929480088129 absolute error = 1.05951888283999823468861e-08 relative error = 9.9377876985415926376095247588098e-07 % h = 0.0001 y1[1] (analytic) = 1.9978095801239569645109072152763 y1[1] (numeric) = 1.9978095800070567144374816113725 absolute error = 1.169002500734256039038e-10 relative error = 5.8514210381438034752123036159396e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2231.6MB, alloc=4.6MB, time=122.39 NO POLE NO POLE x[1] = 0.0663 y2[1] (analytic) = 1.066251438299837826004694384199 y2[1] (numeric) = 1.0662514489752928692972151492411 absolute error = 1.06754550432925207650421e-08 relative error = 1.0012136593517544681782415466185e-06 % h = 0.0001 y1[1] (analytic) = 1.9978029599691528183229362909847 y1[1] (numeric) = 1.9978029598511890400944744370262 absolute error = 1.179637782284618539585e-10 relative error = 5.9046753154416829916247111075415e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2235.4MB, alloc=4.6MB, time=122.59 NO POLE NO POLE x[1] = 0.0664 y2[1] (analytic) = 1.0663512182644112495701401654055 y2[1] (numeric) = 1.0663512290206182320526986662529 absolute error = 1.07562069824825585008474e-08 relative error = 1.0086927082044615348074836171942e-06 % h = 0.0001 y1[1] (analytic) = 1.9977963298363190807584618471017 y1[1] (numeric) = 1.9977963297172837234855749948366 absolute error = 1.190353572728868522651e-10 relative error = 5.9583329639332907590203449941227e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2239.2MB, alloc=4.6MB, time=122.80 NO POLE NO POLE x[1] = 0.0665 y2[1] (analytic) = 1.0664509975654724910444002695964 y2[1] (numeric) = 1.0664510084029193381769958145813 absolute error = 1.08374468471325955449849e-08 relative error = 1.0162161104328896783736163697078e-06 % h = 0.0001 y1[1] (analytic) = 1.9977896897255220531457660081651 y1[1] (numeric) = 1.9977896896054070172566328260769 absolute error = 1.201150358891331820882e-10 relative error = 6.0123964252531448569529954522965e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2243.1MB, alloc=4.6MB, time=123.01 NO POLE NO POLE x[1] = 0.0666 y2[1] (analytic) = 1.0665507762020237574176937762044 y2[1] (numeric) = 1.066550787121200602462825664229 absolute error = 1.09191768450451318880246e-08 relative error = 1.0237840606078040921083418568523e-06 % h = 0.0001 y1[1] (analytic) = 1.9977830396368281365927637160452 y1[1] (numeric) = 1.997783039515625273612682122687 absolute error = 1.212028629800815933582e-10 relative error = 6.0668681521149940023865747721993e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2246.9MB, alloc=4.6MB, time=123.22 NO POLE NO POLE x[1] = 0.0667 y2[1] (analytic) = 1.066650554173067262325339510134 y2[1] (numeric) = 1.0666505651744664529980070305567 absolute error = 1.10013991906726675204227e-08 relative error = 1.0313967538508077683725354614946e-06 % h = 0.0001 y1[1] (analytic) = 1.9977763795703038319863387188663 y1[1] (numeric) = 1.9977763794480049443166132161951 absolute error = 1.222988876697255026712e-10 relative error = 6.1217506083453860061461494220954e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2250.7MB, alloc=4.6MB, time=123.43 NO POLE NO POLE x[1] = 0.0668 y2[1] (analytic) = 1.0667503314776052260577339054007 y2[1] (numeric) = 1.0667503425617213311854363379203 absolute error = 1.10841161051277024325196e-08 relative error = 1.0390543858350229454195913437403e-06 % h = 0.0001 y1[1] (analytic) = 1.9977697095260157399916785621383 y1[1] (numeric) = 1.9977697094026125806878420688493 absolute error = 1.234031593038364932890e-10 relative error = 6.1770462689172877857427939274482e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2254.5MB, alloc=4.6MB, time=123.64 x[1] = 0.0669 y2[1] (analytic) = 1.066850108114639875570328802218 y2[1] (numeric) = 1.0668501192819696917630654167575 absolute error = 1.11673298161927366145395e-08 relative error = 1.0467571527857721805716285518522e-06 % h = 0.0001 y1[1] (analytic) = 1.9977630295040305610516085821054 y1[1] (numeric) = 1.9977630293795148336009777669664 absolute error = 1.245157274506308151390e-10 relative error = 6.2327576199837569392725499254581e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.067 y2[1] (analytic) = 1.066949884083173444493609177435 y2[1] (numeric) = 1.0669498953342160028238792340238 absolute error = 1.12510425583302700565888e-08 relative error = 1.0545052514812590500797918579315e-06 % h = 0.0001 y1[1] (analytic) = 1.9977563395044150953859249013184 y1[1] (numeric) = 1.997756339378778453484488016504 absolute error = 1.256366419014368848144e-10 relative error = 6.2888871589116648851270416637907e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2258.3MB, alloc=4.6MB, time=123.85 NO POLE NO POLE x[1] = 0.0671 y2[1] (analytic) = 1.067049659382208173143070808223 y2[1] (numeric) = 1.0670496707174647458358735568778 absolute error = 1.13352565726928027486548e-08 relative error = 1.0622988792532484759401102404239e-06 % h = 0.0001 y1[1] (analytic) = 1.9977496395272362429907264264374 y1[1] (numeric) = 1.9977496394004702903193626408634 absolute error = 1.267659526713637855740e-10 relative error = 6.3454373943154715722054729861774e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2262.1MB, alloc=4.6MB, time=124.07 NO POLE NO POLE x[1] = 0.0672 y2[1] (analytic) = 1.0671494340107463085291978689125 y2[1] (numeric) = 1.067149445430720415662032549517 absolute error = 1.14199741071328346806045e-08 relative error = 1.0701382339877466799360423341454e-06 % h = 0.0001 y1[1] (analytic) = 1.9977429295725610036377458482712 y1[1] (numeric) = 1.9977429294446572936377750809289 absolute error = 1.279037099999707673423e-10 relative error = 6.4024108460910517653950448976208e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2265.9MB, alloc=4.6MB, time=124.27 NO POLE NO POLE x[1] = 0.0673 y2[1] (analytic) = 1.0672492079677901043674404608797 y2[1] (numeric) = 1.0672492194729875205803063030632 absolute error = 1.15051974162128658421835e-08 relative error = 1.0780235141256807651786828512747e-06 % h = 0.0001 y1[1] (analytic) = 1.9977362096404564768736796440607 y1[1] (numeric) = 1.9977362095114065125217418973512 absolute error = 1.290499643519377467095e-10 relative error = 6.4598100454495729110390080317570e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2269.8MB, alloc=4.6MB, time=124.48 NO POLE NO POLE x[1] = 0.0674 y2[1] (analytic) = 1.0673489812523418210881920753839 y2[1] (numeric) = 1.0673489928432705823035882983985 absolute error = 1.15909287612153962230146e-08 relative error = 1.0859549186635779254153925517965e-06 % h = 0.0001 y1[1] (analytic) = 1.9977294797309898620195170820125 y1[1] (numeric) = 1.997729479600785095601780275081 absolute error = 1.302047664177368069315e-10 relative error = 6.5176375349514245871438295465244e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2273.6MB, alloc=4.6MB, time=124.70 NO POLE NO POLE x[1] = 0.0675 y2[1] (analytic) = 1.0674487538634037258467669892553 y2[1] (numeric) = 1.0674487655405741359996928018517 absolute error = 1.16771704101529258125964e-08 relative error = 1.0939326471542442823775061199181e-06 % h = 0.0001 y1[1] (analytic) = 1.9977227398442284581698682280892 y1[1] (numeric) = 1.9977227397128602910555635301597 absolute error = 1.313681671143046979295e-10 relative error = 6.5758958685401995430591636517698e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2277.4MB, alloc=4.6MB, time=124.91 NO POLE NO POLE x[1] = 0.0676 y2[1] (analytic) = 1.0675485257999780925333775933334 y2[1] (numeric) = 1.0675485375639027303113321936356 absolute error = 1.17639246377779546003022e-08 relative error = 1.1019568997074433514375985769788e-06 % h = 0.0001 y1[1] (analytic) = 1.9977159899802396641922909550643 y1[1] (numeric) = 1.9977159898476994466065746187738 absolute error = 1.325402175857163362905e-10 relative error = 6.6345876115767263334566503689252e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2281.2MB, alloc=4.6MB, time=125.12 NO POLE NO POLE x[1] = 0.0677 y2[1] (analytic) = 1.0676482970610672017831116535566 y2[1] (numeric) = 1.0676483089122609273760942289351 absolute error = 1.18511937255929825753785e-08 relative error = 1.1100278769905741358465235934309e-06 % h = 0.0001 y1[1] (analytic) = 1.997709230139090978726616953847 y1[1] (numeric) = 1.9977092300053700095227576485798 absolute error = 1.337209692038593052672e-10 relative error = 6.6937153408731535513006478163497e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2285.0MB, alloc=4.6MB, time=125.32 x[1] = 0.0678 y2[1] (analytic) = 1.0677480676456733409859095046029 y2[1] (numeric) = 1.067748079584653302846419231547 absolute error = 1.19389799618605097269441e-08 relative error = 1.1181457802293488498204228637124e-06 % h = 0.0001 y1[1] (analytic) = 1.9977024603208500001842767470846 y1[1] (numeric) = 1.9977024601859395266151673923068 absolute error = 1.349104735691093547778e-10 relative error = 6.7532816447270856646113564834240e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0679 y2[1] (analytic) = 1.0678478375527988042965411759826 y2[1] (numeric) = 1.0678478495800844459095772199707 absolute error = 1.20272856416130360439881e-08 relative error = 1.1263108112084702707474794530895e-06 % h = 0.0001 y1[1] (analytic) = 1.9976956805255844267476237050485 y1[1] (numeric) = 1.9976956803894756442366168036424 absolute error = 1.361087825110069014061e-10 relative error = 6.8132891229557704618230297723646e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2288.8MB, alloc=4.6MB, time=125.53 NO POLE NO POLE x[1] = 0.068 y2[1] (analytic) = 1.0679476067814458926445834504817 y2[1] (numeric) = 1.067947618897558959307644965851 absolute error = 1.21161130666630615153693e-08 relative error = 1.1345231722723087207844082041535e-06 % h = 0.0001 y1[1] (analytic) = 1.9976888907533620563692570638113 y1[1] (numeric) = 1.99768889061604610828032253541 absolute error = 1.373159480889345284013e-10 relative error = 6.8737403869303381104971494133011e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2292.6MB, alloc=4.6MB, time=125.74 NO POLE NO POLE x[1] = 0.0681 y2[1] (analytic) = 1.0680473753306169137443968548583 y2[1] (numeric) = 1.0680473875360814593574829846724 absolute error = 1.22054645456130861298141e-08 relative error = 1.1427830663255786781119974234719e-06 % h = 0.0001 y1[1] (analytic) = 1.9976820910042507867713439457215 y1[1] (numeric) = 1.9976820908657187641785484600432 absolute error = 1.385320225927954856783e-10 relative error = 6.9346380596100918342277671112797e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2296.5MB, alloc=4.6MB, time=125.95 NO POLE NO POLE x[1] = 0.0682 y2[1] (analytic) = 1.0681471431993141821051025826904 y2[1] (numeric) = 1.068147155494656575970712458606 absolute error = 1.22953423938656098759156e-08 relative error = 1.1510906968340150181193675689489e-06 % h = 0.0001 y1[1] (analytic) = 1.9976752812783186154449403821824 y1[1] (numeric) = 1.9976752811385615569012471923648 absolute error = 1.397570585436931898176e-10 relative error = 6.9959847755768502124983590278542e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2300.3MB, alloc=4.6MB, time=126.16 NO POLE NO POLE x[1] = 0.0683 y2[1] (analytic) = 1.0682469103865400190405593492765 y2[1] (numeric) = 1.0682469227722889526736920914087 absolute error = 1.23857489336331327421322e-08 relative error = 1.1594462678250488847860277257950e-06 % h = 0.0001 y1[1] (analytic) = 1.9976684615756336396493113387418 y1[1] (numeric) = 1.9976684614346425309546996146768 absolute error = 1.409911086946117240650e-10 relative error = 7.0577831810693411083118464574091e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2304.1MB, alloc=4.6MB, time=126.37 NO POLE NO POLE x[1] = 0.0684 y2[1] (analytic) = 1.0683466768912967526793401784885 y2[1] (numeric) = 1.0683466893679832466274948952748 absolute error = 1.24766864939481547167863e-08 relative error = 1.1678499838884831925308533311598e-06 % h = 0.0001 y1[1] (analytic) = 1.9976616318962640564112497425004 y1[1] (numeric) = 1.9976616317540298303801524041684 absolute error = 1.422342260310973383320e-10 relative error = 7.1200359340176472284577218147446e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2307.9MB, alloc=4.6MB, time=126.57 NO POLE NO POLE x[1] = 0.0685 y2[1] (analytic) = 1.0684464427125867179747091214781 y2[1] (numeric) = 1.0684464552807441286478849095404 absolute error = 1.25681574106731757880623e-08 relative error = 1.1763020501771677587968049225622e-06 % h = 0.0001 y1[1] (analytic) = 1.9976547922402781625243945118442 y1[1] (numeric) = 1.9976547920967916987524535626486 absolute error = 1.434864637719409491956e-10 relative error = 7.1827457040777033211773363861634e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2311.7MB, alloc=4.6MB, time=126.78 x[1] = 0.0686 y2[1] (analytic) = 1.0685462078494122567145979071354 y2[1] (numeric) = 1.0685462205095762832252938511413 absolute error = 1.26601640265106959440059e-08 relative error = 1.1848026724076740676402972889145e-06 % h = 0.0001 y1[1] (analytic) = 1.9976479426077443545485475885084 y1[1] (numeric) = 1.9976479424629964791786859486103 absolute error = 1.447478753698616398981e-10 relative error = 7.2459151726658450160907623373055e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0687 y2[1] (analytic) = 1.0686459723007757175315825242013 y2[1] (numeric) = 1.0686459850534844085447976967238 absolute error = 1.27527086910132151725225e-08 relative error = 1.1933520568609696645935628728217e-06 % h = 0.0001 y1[1] (analytic) = 1.9976410829987311288089899719804 y1[1] (numeric) = 1.9976410828527126142967988116331 absolute error = 1.460185145121911603473e-10 relative error = 7.3095470329934093112458771773512e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2315.5MB, alloc=4.6MB, time=126.99 NO POLE NO POLE x[1] = 0.0688 y2[1] (analytic) = 1.0687457360656794559128597349339 y2[1] (numeric) = 1.0687457489114732165060931963091 absolute error = 1.28457937605932334613752e-08 relative error = 1.2019504103830921830684338105049e-06 % h = 0.0001 y1[1] (analytic) = 1.9976342134133070813957967562473 y1[1] (numeric) = 1.9976342132660086462742373291308 absolute error = 1.472984351215594271165e-10 relative error = 7.3736439901013867121075076375667e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2319.3MB, alloc=4.6MB, time=127.20 NO POLE NO POLE x[1] = 0.0689 y2[1] (analytic) = 1.0688454991431258342102235202277 y2[1] (numeric) = 1.0688455120825474327434743184117 absolute error = 1.29394215985332507981840e-08 relative error = 1.2105979403858230025698977475626e-06 % h = 0.0001 y1[1] (analytic) = 1.997627333851540908163151168896 y1[1] (numeric) = 1.9976273337029532168065701454514 absolute error = 1.485876913565810234446e-10 relative error = 7.4382087608951250273567706973294e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2323.2MB, alloc=4.6MB, time=127.41 NO POLE NO POLE x[1] = 0.069 y2[1] (analytic) = 1.0689452615321172216500414560873 y2[1] (numeric) = 1.0689452745657117966458086265117 absolute error = 1.30335945749957671704244e-08 relative error = 1.2192948548473605389872923791972e-06 % h = 0.0001 y1[1] (analytic) = 1.9976204443135014047286576125715 y1[1] (numeric) = 1.9976204441636150671161149133358 absolute error = 1.498863376125426992357e-10 relative error = 7.5032440741790848263329451817910e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2327.0MB, alloc=4.6MB, time=127.62 NO POLE NO POLE x[1] = 0.0691 y2[1] (analytic) = 1.0690450232316559943432310213559 y2[1] (numeric) = 1.0690450363599710613765135867813 absolute error = 1.31283150670332825654254e-08 relative error = 1.2280413623129931672310002772221e-06 % h = 0.0001 y1[1] (analytic) = 1.9976135447992574664726537088017 y1[1] (numeric) = 1.9976135446480630379505618377424 absolute error = 1.511944285220918710593e-10 relative error = 7.5687526706916465630425576849462e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2330.8MB, alloc=4.6MB, time=127.83 NO POLE NO POLE x[1] = 0.0692 y2[1] (analytic) = 1.0691447842407445352952358365976 y2[1] (numeric) = 1.0691447974643299938935328069656 absolute error = 1.32235854585982969703680e-08 relative error = 1.2368376718957717764824366859625e-06 % h = 0.0001 y1[1] (analytic) = 1.9976066353088780885375213441948 y1[1] (numeric) = 1.9976066351563660695815952220442 absolute error = 1.525120189559261221506e-10 relative error = 7.6347373031399693715875225886840e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2334.6MB, alloc=4.6MB, time=128.05 NO POLE NO POLE x[1] = 0.0693 y2[1] (analytic) = 1.0692445445583852344160018340344 y2[1] (numeric) = 1.0692445578777933749693122063187 absolute error = 1.33194081405533103722843e-08 relative error = 1.2456839932771819583248577226405e-06 % h = 0.0001 y1[1] (analytic) = 1.9975997158424323658269967190155 y1[1] (numeric) = 1.9975997156885932018035130166058 absolute error = 1.538391640234837024097e-10 relative error = 7.7012007362349015378363842831207e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2338.4MB, alloc=4.6MB, time=128.26 NO POLE NO POLE x[1] = 0.0694 y2[1] (analytic) = 1.0693443041835804885299533584388 y2[1] (numeric) = 1.0693443175993659992107761164943 absolute error = 1.34157855106808227580555e-08 relative error = 1.2545805367078158280221765580352e-06 % h = 0.0001 y1[1] (analytic) = 1.9975927863999894930054793981487 y1[1] (numeric) = 1.9975927862448135739318443697463 absolute error = 1.551759190736350284024e-10 relative error = 7.7681457467259426523651948276058e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2342.2MB, alloc=4.6MB, time=128.46 x[1] = 0.0695 y2[1] (analytic) = 1.0694440631153327013859691988808 y2[1] (numeric) = 1.0694440766280526750793033132914 absolute error = 1.35127199736933341144106e-08 relative error = 1.2635275130080434792131311395735e-06 % h = 0.0001 y1[1] (analytic) = 1.9975858469816187644973403644559 y1[1] (numeric) = 1.9975858468250964248019651810961 absolute error = 1.565223396953751833598e-10 relative error = 7.8355751234362574494264842433694e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0696 y2[1] (analytic) = 1.0695438213526442836673585512313 y2[1] (numeric) = 1.0695438349628582249107029791559 absolute error = 1.36102139412433444279246e-08 relative error = 1.2725251335686840722876951149538e-06 % h = 0.0001 y1[1] (analytic) = 1.9975788975873895744862290745322 y1[1] (numeric) = 1.9975788974295110927677116573539 absolute error = 1.578784817185174171783e-10 relative error = 7.9034916672977413369322966701195e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2346.0MB, alloc=4.6MB, time=128.67 NO POLE NO POLE x[1] = 0.0697 y2[1] (analytic) = 1.0696435788945176530018369113204 y2[1] (numeric) = 1.0696435926027874849351905963374 absolute error = 1.37082698319333536850170e-08 relative error = 1.2815736103516765567126395114032e-06 % h = 0.0001 y1[1] (analytic) = 1.99757193821737141691437951687 y1[1] (numeric) = 1.9975719380581270156999918704505 absolute error = 1.592444012143876464195e-10 relative error = 7.9718981913861376223393942398708e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2349.9MB, alloc=4.6MB, time=128.88 NO POLE NO POLE x[1] = 0.0698 y2[1] (analytic) = 1.069743335739955233971501898652 y2[1] (numeric) = 1.0697433495468453052973637706026 absolute error = 1.38068900713258618719506e-08 relative error = 1.2906731558907500275729068406072e-06 % h = 0.0001 y1[1] (analytic) = 1.9975649688716338854819152724378 y1[1] (numeric) = 1.9975649687110137309853953181273 absolute error = 1.606201544965199543105e-10 relative error = 8.0407975209562064393820455397827e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2353.7MB, alloc=4.6MB, time=129.09 NO POLE NO POLE x[1] = 0.0699 y2[1] (analytic) = 1.0698430918879594581228090105745 y2[1] (numeric) = 1.0698431057940365500761779854039 absolute error = 1.39060770919533689748294e-08 relative error = 1.2998239832920937165951762083379e-06 % h = 0.0001 y1[1] (analytic) = 1.997557989550246673646153577679 y1[1] (numeric) = 1.9975579893882408755248004869355 absolute error = 1.620057981213530907435e-10 relative error = 8.1101924934769453805249739394864e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2357.5MB, alloc=4.6MB, time=129.30 NO POLE NO POLE x[1] = 0.07 y2[1] (analytic) = 1.0699428473375327639765473068079 y2[1] (numeric) = 1.0699428613433660973049222864052 absolute error = 1.40058333333283749795973e-08 relative error = 1.3090263062350266179200983287478e-06 % h = 0.0001 y1[1] (analytic) = 1.9975510002532795746209083899397 y1[1] (numeric) = 1.9975510000898781857319804176636 absolute error = 1.634013888889279722761e-10 relative error = 8.1800859586668618401414490158439e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2361.3MB, alloc=4.6MB, time=129.50 NO POLE NO POLE x[1] = 0.0701 y2[1] (analytic) = 1.0700426020876775970378150242276 y2[1] (numeric) = 1.0700426161938388389911948962641 absolute error = 1.41061612419533798720365e-08 relative error = 1.3182803389726667488892468674052e-06 % h = 0.0001 y1[1] (analytic) = 1.9975440009808024813757924553311 y1[1] (numeric) = 1.9975440008159954975322062731999 absolute error = 1.648069838435861821312e-10 relative error = 8.2504807785292970733036095674950e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2365.1MB, alloc=4.6MB, time=129.71 NO POLE NO POLE x[1] = 0.0702 y2[1] (analytic) = 1.0701423561373964098059951218053 y2[1] (numeric) = 1.0701423703444596811368787595708 absolute error = 1.42070632713308836377655e-08 relative error = 1.3275862963326000461127554934488e-06 % h = 0.0001 y1[1] (analytic) = 1.9975369917328853866355183790336 y1[1] (numeric) = 1.9975369915666627463608489088369 absolute error = 1.662226402746694701967e-10 relative error = 8.3213798273878019751444430490300e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2368.9MB, alloc=4.6MB, time=129.92 x[1] = 0.0703 y2[1] (analytic) = 1.0702421094856916617847307556065 y2[1] (numeric) = 1.0702421237942335437581170178447 absolute error = 1.43085418819733862622382e-08 relative error = 1.3369443937175488970835890807216e-06 % h = 0.0001 y1[1] (analytic) = 1.9975299725095983828791986980506 y1[1] (numeric) = 1.9975299723419499671619784450248 absolute error = 1.676484157172202530258e-10 relative error = 8.3927859919215645857881421060645e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0704 y2[1] (analytic) = 1.070341862131565819491900683746 y2[1] (numeric) = 1.0703418765421653609052884144875 absolute error = 1.44105995414133877307415e-08 relative error = 1.3463548471060403076038440111267e-06 % h = 0.0001 y1[1] (analytic) = 1.9975229433110116623396449564181 y1[1] (numeric) = 1.9975229431419272943869618425809 absolute error = 1.690843679526831138372e-10 relative error = 8.4647021712008893257777262360496e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2372.8MB, alloc=4.6MB, time=130.13 NO POLE NO POLE x[1] = 0.0705 y2[1] (analytic) = 1.0704416140740213564695946012008 y2[1] (numeric) = 1.0704416285872600806829826295947 absolute error = 1.45132387242133880283939e-08 relative error = 1.3558178730530737052887789459289e-06 % h = 0.0001 y1[1] (analytic) = 1.9975159041371955170026657828767 y1[1] (numeric) = 1.9975159039666649619930584803622 absolute error = 1.705305550096073025145e-10 relative error = 8.5371312767227279669360755850844e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2376.6MB, alloc=4.6MB, time=130.34 NO POLE NO POLE x[1] = 0.0706 y2[1] (analytic) = 1.0705413653120607532940884043809 y2[1] (numeric) = 1.0705413799285226652699755445248 absolute error = 1.46164619119758871401439e-08 relative error = 1.3653336886907883794137615487674e-06 % h = 0.0001 y1[1] (analytic) = 1.9975088549882203386063639710144 y1[1] (numeric) = 1.9975088548162333034420137354079 absolute error = 1.719870351643502356065e-10 relative error = 8.6100762324462623437239332731416e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2380.4MB, alloc=4.6MB, time=130.54 NO POLE NO POLE x[1] = 0.0707 y2[1] (analytic) = 1.0706411158446864975858193853579 y2[1] (numeric) = 1.0706411305649580909392044361263 absolute error = 1.47202715933533850507684e-08 relative error = 1.3749025117291305573692775214334e-06 % h = 0.0001 y1[1] (analytic) = 1.997501795864156618640432561886 y1[1] (numeric) = 1.9975017956907027516986505655589 absolute error = 1.734538669417819963271e-10 relative error = 8.6835399748285388100155089070828e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2384.2MB, alloc=4.6MB, time=130.77 NO POLE NO POLE x[1] = 0.0708 y2[1] (analytic) = 1.070740865670901084019361355653 y2[1] (numeric) = 1.0707408804955713480777431005235 absolute error = 1.48246702640583817448705e-08 relative error = 1.3845245604565201179889037349370e-06 % h = 0.0001 y1[1] (analytic) = 1.9974947267650749483454499291172 y1[1] (numeric) = 1.9974947265901438392294590945616 absolute error = 1.749311091159908345556e-10 relative error = 8.7575254528601544463247080126576e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2388.0MB, alloc=4.6MB, time=130.98 NO POLE NO POLE x[1] = 0.0709 y2[1] (analytic) = 1.0708406147897070143333996994821 y2[1] (numeric) = 1.0708406297193674412067769063605 absolute error = 1.49296604268733772068784e-08 relative error = 1.3942000537405169420151923337209e-06 % h = 0.0001 y1[1] (analytic) = 1.9974876476910460187121738664986 y1[1] (numeric) = 1.9974876475146271980011841996625 absolute error = 1.764188207109896668361e-10 relative error = 8.8320356281009950224171441524828e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2391.8MB, alloc=4.6MB, time=131.20 NO POLE NO POLE x[1] = 0.071 y2[1] (analytic) = 1.0709403632001067973407063563613 y2[1] (numeric) = 1.0709403782353513890015777774046 absolute error = 1.50352445916608714210433e-08 relative error = 1.4039292110284868999678881321725e-06 % h = 0.0001 y1[1] (analytic) = 1.9974805586421406204808346780796 y1[1] (numeric) = 1.9974805584642235594794111017016 absolute error = 1.779170610014235763780e-10 relative error = 8.9070734747160247204155604878987e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2395.6MB, alloc=4.6MB, time=131.41 NO POLE NO POLE x[1] = 0.0711 y2[1] (analytic) = 1.0710401109011029489381147329706 y2[1] (numeric) = 1.0710401260425282243114791044082 absolute error = 1.51414252753733643714376e-08 relative error = 1.4137122523482674776790497239753e-06 % h = 0.0001 y1[1] (analytic) = 1.997473459618429644140427270766 y1[1] (numeric) = 1.9974734594390037546271489577103 absolute error = 1.794258895132783130557e-10 relative error = 8.9826419795111276233183082070788e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2399.5MB, alloc=4.6MB, time=131.61 x[1] = 0.0712 y2[1] (analytic) = 1.0711398578916979921164945441773 y2[1] (numeric) = 1.0711398731399029941798505861306 absolute error = 1.52482050020633560419533e-08 relative error = 1.4235493983088330397593445580407e-06 % h = 0.0001 y1[1] (analytic) = 1.9974663506199840799280022494308 y1[1] (numeric) = 1.9974663504390387139034124560222 absolute error = 1.809453660245897934086e-10 relative error = 9.0587441419690009740079820337470e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0713 y2[1] (analytic) = 1.0712396041708944569707265831189 y2[1] (numeric) = 1.071239619526480759864072999419 absolute error = 1.53555863028933464163001e-08 relative error = 1.4334408701009597312595816460427e-06 % h = 0.0001 y1[1] (analytic) = 1.9974592316468750178279560145448 y1[1] (numeric) = 1.9974592314643994672618014139034 absolute error = 1.824755505661546006414e-10 relative error = 9.1353829742851002097795106188191e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2403.3MB, alloc=4.6MB, time=131.83 NO POLE NO POLE x[1] = 0.0714 y2[1] (analytic) = 1.0713393497376948807096774202462 y2[1] (numeric) = 1.0713393652012665968555128982499 absolute error = 1.54635717161458354780037e-08 relative error = 1.4433868894978900177914698052560e-06 % h = 0.0001 y1[1] (analytic) = 1.9974521026991736475713198623325 y1[1] (numeric) = 1.9974521025151571441490783777089 absolute error = 1.840165034222414846236e-10 relative error = 9.2125615014036357773691962030164e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2407.1MB, alloc=4.6MB, time=132.04 NO POLE NO POLE x[1] = 0.0715 y2[1] (analytic) = 1.0714390945911018076661740312259 y2[1] (numeric) = 1.0714391101632655948994972416299 absolute error = 1.55721637872333232104040e-08 relative error = 1.4533876788559968643713456210010e-06 % h = 0.0001 y1[1] (analytic) = 1.9974449637769512586350480874627 y1[1] (numeric) = 1.997444963591382973503744225573 absolute error = 1.855682851313038618897e-10 relative error = 9.2902827610536217336036301538015e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2410.9MB, alloc=4.6MB, time=132.24 NO POLE NO POLE x[1] = 0.0716 y2[1] (analytic) = 1.0715388387301177893069783536047 y2[1] (numeric) = 1.0715388544114828580152879502576 absolute error = 1.56813650687083095966529e-08 relative error = 1.4634434611154475532504464335511e-06 % h = 0.0001 y1[1] (analytic) = 1.9974378148802792402413050882797 y1[1] (numeric) = 1.9974378146931482837546117726404 absolute error = 1.871309564866933156393e-10 relative error = 9.3685498037849761366795338668453e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2414.7MB, alloc=4.6MB, time=132.45 NO POLE NO POLE x[1] = 0.0717 y2[1] (analytic) = 1.0716385821537453842427617721326 y2[1] (numeric) = 1.0716385979449235045160563918457 absolute error = 1.57911781202732946197131e-08 relative error = 1.4735544598008671409952935288024e-06 % h = 0.0001 y1[1] (analytic) = 1.997430656009229081356751474582 y1[1] (numeric) = 1.997430655820524502819377378845 absolute error = 1.887045785373740957370e-10 relative error = 9.4473656930046732331278874171130e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2418.5MB, alloc=4.6MB, time=132.66 NO POLE NO POLE x[1] = 0.0718 y2[1] (analytic) = 1.0717383248609871582380795326484 y2[1] (numeric) = 1.0717383407625926670288577950041 absolute error = 1.59016055087907782623557e-08 relative error = 1.4837208990220015550812460480784e-06 % h = 0.0001 y1[1] (analytic) = 1.9974234871638723706918291779564 y1[1] (numeric) = 1.9974234869735831581031905592442 absolute error = 1.902892125886386187122e-10 relative error = 9.5267335050129474455329908774785e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2422.3MB, alloc=4.6MB, time=132.87 NO POLE NO POLE x[1] = 0.0719 y2[1] (analytic) = 1.0718380668508456842213450844258 y2[1] (numeric) = 1.0718380828634954925146055915842 absolute error = 1.60126498082932605071584e-08 relative error = 1.4939430034743803302624909304073e-06 % h = 0.0001 y1[1] (analytic) = 1.9974163083442807967000455646741 y1[1] (numeric) = 1.9974163081523958764972215969148 absolute error = 1.918849202028239677593e-10 relative error = 9.6066563290395491661043997759930e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2426.2MB, alloc=4.6MB, time=133.07 x[1] = 0.072 y2[1] (analytic) = 1.0719378081223235422948043508805 y2[1] (numeric) = 1.0719378242466371422880456873845 absolute error = 1.61243135999932413365040e-08 relative error = 1.5042209984399789849813697411124e-06 % h = 0.0001 y1[1] (analytic) = 1.9974091195505261475772565511564 y1[1] (numeric) = 1.9974091193570343843772271584187 absolute error = 1.934917632000293927377e-10 relative error = 9.6871372672800523611518768450001e-09 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0721 y2[1] (analytic) = 1.07203754867442331974450992854 y2[1] (numeric) = 1.072037564911022792037730661118 absolute error = 1.62365994722932207325780e-08 relative error = 1.5145551097878810380796909995573e-06 % h = 0.0001 y1[1] (analytic) = 1.9974019207826803112609487220166 y1[1] (numeric) = 1.997401920587570507602113911845 absolute error = 1.951098036588348101716e-10 relative error = 9.7681794349322139915508124419947e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2430.0MB, alloc=4.6MB, time=133.28 NO POLE NO POLE x[1] = 0.0722 y2[1] (analytic) = 1.0721372885061476110502952141746 y2[1] (numeric) = 1.0721373048556576318459938915414 absolute error = 1.63495100207956986773668e-08 relative error = 1.5249455639749396660747603439406e-06 % h = 0.0001 y1[1] (analytic) = 1.9973947120408152754295204506858 y1[1] (numeric) = 1.9973947118440761715125001474357 absolute error = 1.967391039170203032501e-10 relative error = 9.8497859602323852543178714629246e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2433.8MB, alloc=4.6MB, time=133.48 NO POLE NO POLE x[1] = 0.0723 y2[1] (analytic) = 1.0722370276164990178957484599903 y2[1] (numeric) = 1.0722370440795468662089236126464 absolute error = 1.64630478483131751526561e-08 relative error = 1.5353925880464390012625154933659e-06 % h = 0.0001 y1[1] (analytic) = 1.9973874933250031275015620226294 y1[1] (numeric) = 1.9973874931266234009292754008022 absolute error = 1.983797265722866218272e-10 relative error = 9.9319599844919746503788400329821e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2437.6MB, alloc=4.6MB, time=133.69 NO POLE NO POLE x[1] = 0.0724 y2[1] (analytic) = 1.0723367660044801491781867567854 y2[1] (numeric) = 1.0723367825816957140563368968138 absolute error = 1.65772155648781501400284e-08 relative error = 1.5458964096367550709099197610151e-06 % h = 0.0001 y1[1] (analytic) = 1.9973802646353160546351347611619 y1[1] (numeric) = 1.9973802644352843201521580787402 absolute error = 2.000317344829766824217e-10 relative error = 1.0014704662133962883637945281957e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2441.4MB, alloc=4.6MB, time=133.90 NO POLE NO POLE x[1] = 0.0725 y2[1] (analytic) = 1.0724365036690936210186299449684 y2[1] (numeric) = 1.0724365203611094087717535658298 absolute error = 1.66920157877531236208614e-08 relative error = 1.5564572569700163777988705223196e-06 % h = 0.0001 y1[1] (analytic) = 1.9973730259718263437270491558668 y1[1] (numeric) = 1.9973730257701311529582510876496 absolute error = 2.016951907687980682172e-10 relative error = 1.0098023160729469596475209799530e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2445.2MB, alloc=4.6MB, time=134.11 NO POLE NO POLE x[1] = 0.0726 y2[1] (analytic) = 1.0725362406093420567717744533397 y2[1] (numeric) = 1.0725362574167931982123700296655 absolute error = 1.68074511414405955763258e-08 relative error = 1.5670753588607641223834035141871e-06 % h = 0.0001 y1[1] (analytic) = 1.9973657773346063814121419936293 y1[1] (numeric) = 1.9973657771312362226005954645672 absolute error = 2.033701588115465290621e-10 relative error = 1.0181918661034371946790658779945e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2449.0MB, alloc=4.6MB, time=134.32 NO POLE NO POLE x[1] = 0.0727 y2[1] (analytic) = 1.0726359768242280870359670655362 y2[1] (numeric) = 1.0726359937477523447290330529199 absolute error = 1.69235242576930659873837e-08 relative error = 1.5777509447146120668220580582016e-06 % h = 0.0001 y1[1] (analytic) = 1.9973585187237286540625524922883 y1[1] (numeric) = 1.9973585185186719518067220108187 absolute error = 2.050567022558304814696e-10 relative error = 1.0266394357025975031726481010959e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2452.9MB, alloc=4.6MB, time=134.53 NO POLE NO POLE x[1] = 0.0728 y2[1] (analytic) = 1.0727357123127543496631786140399 y2[1] (numeric) = 1.0727357293529921251862134488258 absolute error = 1.70402377755230348347859e-08 relative error = 1.5884842445289060411468303944262e-06 % h = 0.0001 y1[1] (analytic) = 1.9973512501392657477869974369157 y1[1] (numeric) = 1.9973512499325108627772009282982 absolute error = 2.067548850097965086175e-10 relative error = 1.0351453455939734163195509050601e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2456.7MB, alloc=4.6MB, time=134.73 x[1] = 0.0729 y2[1] (analytic) = 1.0728354470739234897689776016493 y2[1] (numeric) = 1.0728354642315178309819797007198 absolute error = 1.71575943412130020990705e-08 relative error = 1.5992754888933830918303572262677e-06 % h = 0.0001 y1[1] (analytic) = 1.99734397158129034843004531873 y1[1] (numeric) = 1.9973439713728255771841894583813 absolute error = 2.084647712458558603487e-10 relative error = 1.0437099178306029000406735004536e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.073 y2[1] (analytic) = 1.072935181106738159742503750316 y2[1] (numeric) = 1.0729351983823347680679715108763 absolute error = 1.72755966083254677605603e-08 relative error = 1.6101249089908302730123474675907e-06 % h = 0.0001 y1[1] (analytic) = 1.9973366830498752415713894766508 y1[1] (numeric) = 1.9973366828396888161699775234804 absolute error = 2.101864254014119531704e-10 relative error = 1.0523334757986989544440665280476e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2460.5MB, alloc=4.6MB, time=134.94 NO POLE NO POLE x[1] = 0.0731 y2[1] (analytic) = 1.0730349144102010192564414772446 y2[1] (numeric) = 1.0730349318044482569693732766057 absolute error = 1.73942472377129317993611e-08 relative error = 1.6210327365977430806465419125995e-06 % h = 0.0001 y1[1] (analytic) = 1.997329384545093312525120241503 y1[1] (numeric) = 1.9973293843331734003455313712483 absolute error = 2.119199121795888702547e-10 relative error = 1.0610163442213374000169908763727e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2464.3MB, alloc=4.6MB, time=135.15 NO POLE NO POLE x[1] = 0.0732 y2[1] (analytic) = 1.0731346469833147352769932981575 y2[1] (numeric) = 1.0731346644968636328048874935172 absolute error = 1.75135488975278941953597e-08 relative error = 1.6319992040849835298290058755189e-06 % h = 0.0001 y1[1] (analytic) = 1.997322076067017546338996082876 y1[1] (numeric) = 1.9973220758533522497890352214377 absolute error = 2.136652965499608614383e-10 relative error = 1.0697588491621498510577342166271e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2468.1MB, alloc=4.6MB, time=135.35 NO POLE NO POLE x[1] = 0.0733 y2[1] (analytic) = 1.073234378825081982073853157625 y2[1] (numeric) = 1.0732343964585862453067080858462 absolute error = 1.76335042632328549282212e-08 relative error = 1.6430245444184378755684675706702e-06 % h = 0.0001 y1[1] (analytic) = 1.9973147576157210277937137586473 y1[1] (numeric) = 1.9973147574002983840444309154246 absolute error = 2.154226437492828432227e-10 relative error = 1.0785613180290218768716722982199e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2471.9MB, alloc=4.6MB, time=135.56 NO POLE NO POLE x[1] = 0.0734 y2[1] (analytic) = 1.0733341099345054412301796863595 y2[1] (numeric) = 1.0733341276886214588404936637471 absolute error = 1.77541160176103139773876e-08 relative error = 1.6541089911596739772594718497624e-06 % h = 0.0001 y1[1] (analytic) = 1.9973074291912769414021774671754 y1[1] (numeric) = 1.9973074289740849221199555684017 absolute error = 2.171920192822218987737e-10 relative error = 1.0874240795777963512437729386441e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2475.8MB, alloc=4.6MB, time=135.77 NO POLE NO POLE x[1] = 0.0735 y2[1] (analytic) = 1.0734338403105878016525693853761 y2[1] (numeric) = 1.0734338581859746524253407074512 absolute error = 1.78753868507727713220751e-08 relative error = 1.6652527784665983071185235763593e-06 % h = 0.0001 y1[1] (analytic) = 1.9973000907937585714087670021721 y1[1] (numeric) = 1.9973000905747850824866772242501 absolute error = 2.189734889220897779220e-10 relative error = 1.0963474639159819907154890304061e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2479.6MB, alloc=4.6MB, time=135.99 NO POLE NO POLE x[1] = 0.0736 y2[1] (analytic) = 1.0735335699523317595810297369179 y2[1] (numeric) = 1.0735335879496512197537566781902 absolute error = 1.79973194601727269412723e-08 relative error = 1.6764561410941126028436756687722e-06 % h = 0.0001 y1[1] (analytic) = 1.9972927424232393017886049102588 y1[1] (numeric) = 1.9972927422024721830770285130961 absolute error = 2.207671187115763971627e-10 relative error = 1.1053318025064670821746884099172e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2483.4MB, alloc=4.6MB, time=136.20 x[1] = 0.0737 y2[1] (analytic) = 1.073633298858740018598952242048 y2[1] (numeric) = 1.0736333169786565692116330557857 absolute error = 1.81199165506126808137377e-08 relative error = 1.6877193143947701647574963181757e-06 % h = 0.0001 y1[1] (analytic) = 1.9972853840797926162468226512162 y1[1] (numeric) = 1.9972853838572196412833383115606 absolute error = 2.225729749634843396556e-10 relative error = 1.1143774281712384002885244169016e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0738 y2[1] (analytic) = 1.0737330270288152896430853848067 y2[1] (numeric) = 1.0737330452719961238982183028047 absolute error = 1.82431808342551329179980e-08 relative error = 1.6990425343194317976934723946495e-06 % h = 0.0001 y1[1] (analytic) = 1.9972780157634920982178257609335 y1[1] (numeric) = 1.9972780155391009739563614057084 absolute error = 2.243911242614643552251e-10 relative error = 1.1234846750951053152943586519402e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2487.2MB, alloc=4.6MB, time=136.40 NO POLE NO POLE x[1] = 0.0739 y2[1] (analytic) = 1.0738327544615602910135075228367 y2[1] (numeric) = 1.0738327728286753216460907551817 absolute error = 1.83671150306325832323450e-08 relative error = 1.7104260374179213978853951890314e-06 % h = 0.0001 y1[1] (analytic) = 1.9972706374744114308645580170647 y1[1] (numeric) = 1.997270637248189797403806156705 absolute error = 2.262216334607518603597e-10 relative error = 1.1326538788294290916705840636837e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2491.0MB, alloc=4.6MB, time=136.62 NO POLE NO POLE x[1] = 0.074 y2[1] (analytic) = 1.0739324811559777483835997043727 y2[1] (numeric) = 1.0739324996476996150411314392073 absolute error = 1.84917218666575317348346e-08 relative error = 1.7218700608396811851196394658639e-06 % h = 0.0001 y1[1] (analytic) = 1.9972632492126243970777646074002 y1[1] (numeric) = 1.9972632489845598273888601691875 absolute error = 2.280645696889044382127e-10 relative error = 1.1418853762958573782179361391608e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2494.8MB, alloc=4.6MB, time=136.83 NO POLE NO POLE x[1] = 0.0741 y2[1] (analytic) = 1.0740322071110703948100184115006 y2[1] (numeric) = 1.0740322257280744714424968147837 absolute error = 1.86170040766324784032831e-08 relative error = 1.7333748423344265804093078035853e-06 % h = 0.0001 y1[1] (analytic) = 1.9972558509782048794752543009597 y1[1] (numeric) = 1.9972558507482848791287139623579 absolute error = 2.299200003465403386018e-10 relative error = 1.1511795057900638900630821743319e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2498.6MB, alloc=4.6MB, time=137.04 NO POLE NO POLE x[1] = 0.0742 y2[1] (analytic) = 1.0741319323258409707426682295816 y2[1] (numeric) = 1.0741319510688053730025914448479 absolute error = 1.87429644022599232152663e-08 relative error = 1.7449406202528007294500055919864e-06 % h = 0.0001 y1[1] (analytic) = 1.997248442771226860401160621815 y1[1] (numeric) = 1.9972484425394388672930826438057 absolute error = 2.317879931080779780093e-10 relative error = 1.1605366069854932831170346522234e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2502.5MB, alloc=4.6MB, time=137.24 NO POLE NO POLE x[1] = 0.0743 y2[1] (analytic) = 1.0742316567992922240346744427453 y2[1] (numeric) = 1.0742316756688978166870405908617 absolute error = 1.88696055926523661481164e-08 relative error = 1.7565676335470286721158684977675e-06 % h = 0.0001 y1[1] (analytic) = 1.9972410245917644219252020256487 y1[1] (numeric) = 1.9972410243580958060027255860671 absolute error = 2.336686159224764395816e-10 relative error = 1.1699570209371112215066432036695e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2506.3MB, alloc=4.6MB, time=137.45 NO POLE NO POLE x[1] = 0.0744 y2[1] (analytic) = 1.0743313805304269099523555553501 y2[1] (numeric) = 1.07433139952735731429466273427 absolute error = 1.89969304043423071789199e-08 relative error = 1.7682561217715711582550622002703e-06 % h = 0.0001 y1[1] (analytic) = 1.9972335964398917458419410790583 y1[1] (numeric) = 1.9972335962043298088279641059286 absolute error = 2.355619370139769731297e-10 relative error = 1.1794410900851596385131692046396e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2510.1MB, alloc=4.6MB, time=137.65 NO POLE NO POLE x[1] = 0.0745 y2[1] (analytic) = 1.0744311035182477911851957393118 y2[1] (numeric) = 1.074431122643189392477442023827 absolute error = 1.91249416012922462845152e-08 relative error = 1.7800063250837781100433896478351e-06 % h = 0.0001 y1[1] (analytic) = 1.9972261583156831136700426416108 y1[1] (numeric) = 1.9972261580782150887871971464819 absolute error = 2.374680248828454951289e-10 relative error = 1.1889891582589171915351520869278e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2513.9MB, alloc=4.6MB, time=137.86 x[1] = 0.0746 y2[1] (analytic) = 1.0745308257617576378558172072002 y2[1] (numeric) = 1.0745308450153995927605006486905 absolute error = 1.92536419549046834414903e-08 relative error = 1.7918184842445417311546339954760e-06 % h = 0.0001 y1[1] (analytic) = 1.9972187102192129066515310506569 y1[1] (numeric) = 1.997218709979825958345414961938 absolute error = 2.393869483061160887189e-10 relative error = 1.1986015706804649116085262132512e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0747 y2[1] (analytic) = 1.0746305472599592275299525110047 y2[1] (numeric) = 1.0746305666429934715620711371853 absolute error = 1.93830342440321186261806e-08 relative error = 1.8036928406189492630060628623369e-06 % h = 0.0001 y1[1] (analytic) = 1.9972112521505556057510463089111 y1[1] (numeric) = 1.9972112519092368294127108052075 absolute error = 2.413187763383355037036e-10 relative error = 1.2082786739684570480081633147141e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2517.7MB, alloc=4.6MB, time=138.07 NO POLE NO POLE x[1] = 0.0748 y2[1] (analytic) = 1.0747302680118553452264167664687 y2[1] (numeric) = 1.0747302875249766002134685811351 absolute error = 1.95131212549870518146664e-08 relative error = 1.8156296361769353883373171719405e-06 % h = 0.0001 y1[1] (analytic) = 1.997203784109785791655099274806 y1[1] (numeric) = 1.9972037838665222133427906182549 absolute error = 2.432635783123086565511e-10 relative error = 1.2180208161418971084617530968756e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2521.5MB, alloc=4.6MB, time=138.28 NO POLE NO POLE x[1] = 0.0749 y2[1] (analytic) = 1.0748299880164487834270798028931 y2[1] (numeric) = 1.0748300076603545649790627856633 absolute error = 1.96439057815519829827702e-08 relative error = 1.8276291134939342823807893436075e-06 % h = 0.0001 y1[1] (analytic) = 1.9971963060969781447713258556282 y1[1] (numeric) = 1.997196305851756720931480725234 absolute error = 2.452214238398451303942e-10 relative error = 1.2278283466239190955066626836067e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2525.3MB, alloc=4.6MB, time=138.49 NO POLE NO POLE x[1] = 0.075 y2[1] (analytic) = 1.0749297072727423420868382383092 y2[1] (numeric) = 1.0749297270481329670762503443641 absolute error = 1.97753906249894121060549e-08 relative error = 1.8396915157515313118815237000896e-06 % h = 0.0001 y1[1] (analytic) = 1.9971888181122074452277402034419 y1[1] (numeric) = 1.9971888178650150624152335284125 absolute error = 2.471923828125066750294e-10 relative error = 1.2377016162455739395096288976944e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2529.2MB, alloc=4.6MB, time=138.70 NO POLE NO POLE x[1] = 0.0751 y2[1] (analytic) = 1.0750294257797388286435874799217 y2[1] (numeric) = 1.0750294456873174226954266397423 absolute error = 1.99075785940518391598206e-08 relative error = 1.8518170867381143822241907997494e-06 % h = 0.0001 y1[1] (analytic) = 1.99718132015554857287198691381 y1[1] (numeric) = 1.9971813199063720474696312068922 absolute error = 2.491765254023557069178e-10 relative error = 1.2476409772496211288969047339999e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2533.0MB, alloc=4.6MB, time=138.91 NO POLE NO POLE x[1] = 0.0752 y2[1] (analytic) = 1.075129143536441058028193649721 y2[1] (numeric) = 1.0751291635769135630199577688239 absolute error = 2.00404725049917641191029e-08 relative error = 1.8640060708495249329250065282111e-06 % h = 0.0001 y1[1] (analytic) = 1.9971738122270765072705922273178 y1[1] (numeric) = 1.9971738119759025852078874181334 absolute error = 2.511739220627048091844e-10 relative error = 1.2576467832943255381086627024202e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2536.8MB, alloc=4.6MB, time=139.12 NO POLE NO POLE x[1] = 0.0753 y2[1] (analytic) = 1.0752288605418518526744654351668 y2[1] (numeric) = 1.0752288807159270342461523938366 absolute error = 2.01740751815716869586698e-08 relative error = 1.8762587130897085817457625843778e-06 % h = 0.0001 y1[1] (analytic) = 1.9971662943268663277082142339088 y1[1] (numeric) = 1.9971662940736816841793470022902 absolute error = 2.531846435288672316186e-10 relative error = 1.2677193894572594538237315968977e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2540.6MB, alloc=4.6MB, time=139.33 NO POLE NO POLE x[1] = 0.0754 y2[1] (analytic) = 1.0753285767949740425291258648409 y2[1] (numeric) = 1.0753285971033634976032335178607 absolute error = 2.03083894550741076530198e-08 relative error = 1.8885752590713654176874822028060e-06 % h = 0.0001 y1[1] (analytic) = 1.9971587664549932131868920800383 y1[1] (numeric) = 1.9971587661997844523679836893645 absolute error = 2.552087608189083906738e-10 relative error = 1.2778591522391097999769386050356e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0755 y2[1] (analytic) = 1.0754282922948104650617840089727 y2[1] (numeric) = 1.0754283127382286293733101853513 absolute error = 2.04434181643115261763786e-08 relative error = 1.9009559550165999431205668971448e-06 % h = 0.0001 y1[1] (analytic) = 1.9971512286115324424252941786539 y1[1] (numeric) = 1.9971512283542860971908958091864 absolute error = 2.572463452343983694675e-10 relative error = 1.2880664295674905621095831900250e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2544.4MB, alloc=4.6MB, time=139.53 NO POLE NO POLE x[1] = 0.0756 y2[1] (analytic) = 1.0755280070403639652749066047339 y2[1] (numeric) = 1.0755280276195281209113491074312 absolute error = 2.05791641556364425026973e-08 relative error = 1.9134010477575706653086473308799e-06 % h = 0.0001 y1[1] (analytic) = 1.9971436807965593938579654220095 y1[1] (numeric) = 1.9971436805372619254968000042282 absolute error = 2.592974683611654177813e-10 relative error = 1.2983415808007604115842850376823e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2548.2MB, alloc=4.6MB, time=139.75 NO POLE NO POLE x[1] = 0.0757 y2[1] (analytic) = 1.0756277210306373957137896062059 y2[1] (numeric) = 1.0756277417462676786651462118553 absolute error = 2.07156302829513566056494e-08 relative error = 1.9259107847371393375826664756618e-06 % h = 0.0001 y1[1] (analytic) = 1.9971361230101495456345733973202 y1[1] (numeric) = 1.9971361227487873435645229452594 absolute error = 2.613622020700504520608e-10 relative error = 1.3086849667318455301991826049893e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2552.1MB, alloc=4.6MB, time=139.96 NO POLE NO POLE x[1] = 0.0758 y2[1] (analytic) = 1.0757274342646336164765296589186 y2[1] (numeric) = 1.0757274551174530241952981175469 absolute error = 2.08528194077187684586283e-08 relative error = 1.9384854140095198504219684243940e-06 % h = 0.0001 y1[1] (analytic) = 1.9971285552523784756191536052666 y1[1] (numeric) = 1.9971285549889378571014910498508 absolute error = 2.634406185176625554158e-10 relative error = 1.3190969495920676357391917947712e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2555.9MB, alloc=4.6MB, time=140.17 NO POLE NO POLE x[1] = 0.0759 y2[1] (analytic) = 1.075827146741355495223995498861 y2[1] (numeric) = 1.0758271677320898941951735336059 absolute error = 2.09907343989711780347449e-08 relative error = 1.9511251842409267726988070202337e-06 % h = 0.0001 y1[1] (analytic) = 1.9971209775233218613893536813549 y1[1] (numeric) = 1.9971209772577890712422182037349 absolute error = 2.655327901471354776200e-10 relative error = 1.3295778930549772089967558857433e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2559.7MB, alloc=4.6MB, time=140.37 NO POLE NO POLE x[1] = 0.076 y2[1] (analytic) = 1.075926858459805907189799275864 y2[1] (numeric) = 1.0759268795891840405108845826888 absolute error = 2.11293781333210853068248e-08 relative error = 1.9638303447102235433425154204440e-06 % h = 0.0001 y1[1] (analytic) = 1.9971133898230554802356766201408 y1[1] (numeric) = 1.99711338955541669054679148503 absolute error = 2.676387896888851351108e-10 relative error = 1.3401281622401919228022581174802e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2563.5MB, alloc=4.6MB, time=140.58 NO POLE NO POLE x[1] = 0.0761 y2[1] (analytic) = 1.0760265694189877351902678012565 y2[1] (numeric) = 1.0760265906877412301612580486621 absolute error = 2.12687534949709902474056e-08 relative error = 1.9766011453095703136795070220697e-06 % h = 0.0001 y1[1] (analytic) = 1.9971057921516552091607230023257 y1[1] (numeric) = 1.9971057918818965189993548913358 absolute error = 2.697586901613681109899e-10 relative error = 1.3507481237172402736054995005360e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2567.3MB, alloc=4.6MB, time=140.79 NO POLE NO POLE x[1] = 0.0762 y2[1] (analytic) = 1.0761262796179038696344137196934 y2[1] (numeric) = 1.0761263010267672453578065484276 absolute error = 2.14088633757233928287342e-08 relative error = 1.9894378365450714407050588399631e-06 % h = 0.0001 y1[1] (analytic) = 1.9970981845091970248784322247307 y1[1] (numeric) = 1.997098184237304460006591069708 absolute error = 2.718925648718411550227e-10 relative error = 1.3614381455094104161368553490785e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2571.1MB, alloc=4.6MB, time=141.01 x[1] = 0.0763 y2[1] (analytic) = 1.0762259890555572085339066050572 y2[1] (numeric) = 1.0762260106052678835246996278217 absolute error = 2.15497106749907930227645e-08 relative error = 2.0023406695374226315427114611658e-06 % h = 0.0001 y1[1] (analytic) = 1.9970905668957570038133227331584 y1[1] (numeric) = 1.9970905666217165163962010495197 absolute error = 2.740404874171216836387e-10 relative error = 1.3721985970976042016984848389589e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0764 y2[1] (analytic) = 1.0763256977309506575130439803332 y2[1] (numeric) = 1.0763257194222489573187347814873 absolute error = 2.16912982998056908011541e-08 relative error = 2.0153098960225577393467891187436e-06 % h = 0.0001 y1[1] (analytic) = 1.9970829393114113220997312581477 y1[1] (numeric) = 1.9970829390352087904153819782169 absolute error = 2.762025316843492799308e-10 relative error = 1.3830298494241964206151674239152e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2574.9MB, alloc=4.6MB, time=141.21 NO POLE NO POLE x[1] = 0.0765 y2[1] (analytic) = 1.076425405643087129818722261358 y2[1] (numeric) = 1.0764254274767162946493083966202 absolute error = 2.18336291648305861352622e-08 relative error = 2.0283457683522952109037147613384e-06 % h = 0.0001 y1[1] (analytic) = 1.9970753017562362555810510536318 y1[1] (numeric) = 1.9970753014778574837293028599756 absolute error = 2.783787718517481936562e-10 relative error = 1.3939322748968992493991054489046e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2578.8MB, alloc=4.6MB, time=141.44 NO POLE NO POLE x[1] = 0.0766 y2[1] (analytic) = 1.0765251127909695463304076243423 y2[1] (numeric) = 1.0765251347676757386983866204887 absolute error = 2.19767061923679789961464e-08 relative error = 2.0414485394949841861872137422306e-06 % h = 0.0001 y1[1] (analytic) = 1.9970676542303081798089691385044 y1[1] (numeric) = 1.9970676539497388974195782972687 absolute error = 2.805692823893908412357e-10 relative error = 1.4049062473926319031542201582994e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2582.6MB, alloc=4.6MB, time=141.66 NO POLE NO POLE x[1] = 0.0767 y2[1] (analytic) = 1.0766248191736008355701067970681 y2[1] (numeric) = 1.076624841294133147940476151628 absolute error = 2.21205323123703693545599e-08 relative error = 2.0546184630361502501226898896474e-06 % h = 0.0001 y1[1] (analytic) = 1.9970599967337035700427025411036 y1[1] (numeric) = 1.9970599964509294319827402353498 absolute error = 2.827741380599623057538e-10 relative error = 1.4159521422613954937742398693966e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2586.4MB, alloc=4.6MB, time=141.87 NO POLE NO POLE x[1] = 0.0768 y2[1] (analytic) = 1.0767245247899839337123377736599 y2[1] (numeric) = 1.076724547055094396162594954609 absolute error = 2.22651104624502571809491e-08 relative error = 2.0678557931791408368157554440623e-06 % h = 0.0001 y1[1] (analytic) = 1.9970523292664990012482335466204 y1[1] (numeric) = 1.9970523289815055873287077096615 absolute error = 2.849934139195258369589e-10 relative error = 1.4270703363301530944740874956220e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2590.2MB, alloc=4.6MB, time=142.08 NO POLE NO POLE x[1] = 0.0769 y2[1] (analytic) = 1.0768242296391217845941004528318 y2[1] (numeric) = 1.0768242520495653724842428982822 absolute error = 2.24104435878901424454504e-08 relative error = 2.0811607847457702864996221620167e-06 % h = 0.0001 y1[1] (analytic) = 1.9970446518287711480975439474393 y1[1] (numeric) = 1.9970446515415439627792545961766 absolute error = 2.872271853182893512627e-10 relative error = 1.4382612079067150111938040225602e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2594.0MB, alloc=4.6MB, time=142.28 NO POLE NO POLE x[1] = 0.077 y2[1] (analytic) = 1.0769239337200173397248471995087 y2[1] (numeric) = 1.0769239562765519813773723173963 absolute error = 2.25565346416525251178876e-08 relative error = 2.0945336931769645554561397633153e-06 % h = 0.0001 y1[1] (analytic) = 1.9970369644205967849678482964197 y1[1] (numeric) = 1.9970369641311212570664753646786 absolute error = 2.894755279013729317411e-10 relative error = 1.4495251367836292614309992283850e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2597.8MB, alloc=4.6MB, time=142.50 NO POLE NO POLE x[1] = 0.0771 y2[1] (analytic) = 1.0770236370316735582964533297235 y2[1] (numeric) = 1.0770236597350601426863584974925 absolute error = 2.27033865843899051677690e-08 relative error = 2.1079747745334055791648917307534e-06 % h = 0.0001 y1[1] (analytic) = 1.9970292670420527859408261631237 y1[1] (numeric) = 1.9970292667503142683312488349904 absolute error = 2.917385176095773281333e-10 relative error = 1.4608625042420772610305108123742e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0772 y2[1] (analytic) = 1.0771233395730934071931875186904 y2[1] (numeric) = 1.0771233624240957916479700829747 absolute error = 2.28510023844547825642843e-08 relative error = 2.1214842854961752889346889670724e-06 % h = 0.0001 y1[1] (analytic) = 1.9970215596932161248018533930004 y1[1] (numeric) = 1.9970215593991998941216999361582 absolute error = 2.940162306801534568422e-10 relative error = 1.4722736930557747194927315639130e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2601.6MB, alloc=4.6MB, time=142.71 NO POLE NO POLE x[1] = 0.0773 y2[1] (analytic) = 1.0772230413432798610016821319537 y2[1] (numeric) = 1.0772230643426648789113394082556 absolute error = 2.29993850179096572763019e-08 relative error = 2.1350624833673992822716859299186e-06 % h = 0.0001 y1[1] (analytic) = 1.9970138423741638750392323695324 y1[1] (numeric) = 1.9970138420778551313916594685984 absolute error = 2.963087436475729009340e-10 relative error = 1.4837590874948777443367571388672e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2605.5MB, alloc=4.6MB, time=142.91 NO POLE NO POLE x[1] = 0.0774 y2[1] (analytic) = 1.077322742341235902020903479513 y2[1] (numeric) = 1.077322765489773370557932751879 absolute error = 2.31485374685370292723660e-08 relative error = 2.1487096260708901472380702578878e-06 % h = 0.0001 y1[1] (analytic) = 1.9970061150849732098434212793541 y1[1] (numeric) = 1.9970061147863570764991218692151 absolute error = 2.986161333442994101390e-10 relative error = 1.4953190733298941550757688351607e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2609.3MB, alloc=4.6MB, time=143.12 NO POLE NO POLE x[1] = 0.0775 y2[1] (analytic) = 1.0774224425659645202721219928255 y2[1] (numeric) = 1.077422465864427248121520513519 absolute error = 2.32984627278493985206935e-08 relative error = 2.1624259721527904410551705646463e-06 % h = 0.0001 y1[1] (analytic) = 1.9969983778257214021062623803468 y1[1] (numeric) = 1.9969983775247829252047009794963 absolute error = 3.009384769015614008505e-10 relative error = 1.5069540378356000073372592396937e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2613.1MB, alloc=4.6MB, time=143.33 NO POLE NO POLE x[1] = 0.0776 y2[1] (analytic) = 1.0775221420164687135088823245846 y2[1] (numeric) = 1.077522165465632508608147313756 absolute error = 2.34491637950992649891714e-08 relative error = 2.1762117807822153232047300894770e-06 % h = 0.0001 y1[1] (analytic) = 1.9969906305964858244202092727219 y1[1] (numeric) = 1.9969906302932099726700838165963 absolute error = 3.032758517501254561256e-10 relative error = 1.5186643697949613276959917088148e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2616.9MB, alloc=4.6MB, time=143.55 NO POLE NO POLE x[1] = 0.0777 y2[1] (analytic) = 1.0776218406917514872269733711769 y2[1] (numeric) = 1.0776218642923951645161020165298 absolute error = 2.36006436772891286453529e-08 relative error = 2.1900673117518948432817000129095e-06 % h = 0.0001 y1[1] (analytic) = 1.9969828733973439490775531730961 y1[1] (numeric) = 1.9969828730917156134564823474116 absolute error = 3.056283356210708256845e-10 relative error = 1.5304504595030610597522625080266e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2620.7MB, alloc=4.6MB, time=143.76 NO POLE NO POLE x[1] = 0.0778 y2[1] (analytic) = 1.0777215385908158546743982177151 y2[1] (numeric) = 1.0777215623437212438558876741707 absolute error = 2.37529053891814894564556e-08 relative error = 2.2039928254788158838522271430315e-06 % h = 0.0001 y1[1] (analytic) = 1.9969751062283733480696481915699 y1[1] (numeric) = 1.9969751059203773415230832656588 absolute error = 3.079960065465649259111e-10 relative error = 1.5423126987710312220198126115800e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2624.5MB, alloc=4.6MB, time=143.97 NO POLE NO POLE x[1] = 0.0779 y2[1] (analytic) = 1.0778212357126648368613440055502 y2[1] (numeric) = 1.0778212596186167901701913949077 absolute error = 2.39059519533088473893575e-08 relative error = 2.2179885830048637585696344273145e-06 % h = 0.0001 y1[1] (analytic) = 1.9969673290896516930861356118143 y1[1] (numeric) = 1.9969673287792727502254957719617 absolute error = 3.103789428606398398526e-10 relative error = 1.5542514809299902781629297025249e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2628.3MB, alloc=4.6MB, time=144.17 x[1] = 0.078 y2[1] (analytic) = 1.0779209320563014625701517221612 y2[1] (numeric) = 1.0779209561160878625538541327556 absolute error = 2.40597863999837024105944e-08 relative error = 2.2320548459974634658017644323657e-06 % h = 0.0001 y1[1] (analytic) = 1.9969595419812567555141671741752 y1[1] (numeric) = 1.9969595416684795323141973569556 absolute error = 3.127772231999698172196e-10 relative error = 1.5662672008349857201420413960833e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0781 y2[1] (analytic) = 1.0780206276207287683652859133235 y2[1] (numeric) = 1.07802065183514053567384039968 absolute error = 2.42144117673085544863565e-08 relative error = 2.2461918767502205980223562765491e-06 % h = 0.0001 y1[1] (analytic) = 1.9969517449032664064376273618021 y1[1] (numeric) = 1.9969517445880754799329775874164 absolute error = 3.151909265046497743857e-10 relative error = 1.5783602548689418648153138578965e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2632.2MB, alloc=4.6MB, time=144.38 NO POLE NO POLE x[1] = 0.0782 y2[1] (analytic) = 1.0781203224049497986033043174556 y2[1] (numeric) = 1.0781203467747808997892078999413 absolute error = 2.43698311011859035824857e-08 relative error = 2.2603999381835619072193085669973e-06 % h = 0.0001 y1[1] (analytic) = 1.9969439378557586166363546898107 y1[1] (numeric) = 1.9969439375381384846173798954226 absolute error = 3.176201320189747943881e-10 relative error = 1.5905310409466128645570210406678e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2636.0MB, alloc=4.6MB, time=144.60 NO POLE NO POLE x[1] = 0.0783 y2[1] (analytic) = 1.0782200164079676054428274220455 y2[1] (numeric) = 1.0782200409340150607710770865178 absolute error = 2.45260474553282496644723e-08 relative error = 2.2746792938453755265722599407066e-06 % h = 0.0001 y1[1] (analytic) = 1.9969361208388114565853619974844 y1[1] (numeric) = 1.9969361205187465372931413705574 absolute error = 3.200649192922206269270e-10 relative error = 1.6027799585185409324356537751551e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2639.8MB, alloc=4.6MB, time=144.81 NO POLE NO POLE x[1] = 0.0784 y2[1] (analytic) = 1.0783197096287852488545079420563 y2[1] (numeric) = 1.0783197343118491401226006395076 absolute error = 2.46830638912680926974513e-08 relative error = 2.2890302079116508486518969549630e-06 % h = 0.0001 y1[1] (analytic) = 1.9969282938525030964540557435254 y1[1] (numeric) = 1.9969282935299777282746305551593 absolute error = 3.225253681794251883661e-10 relative error = 1.6151074085750197825180044618999e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2643.6MB, alloc=4.6MB, time=145.02 NO POLE NO POLE x[1] = 0.0785 y2[1] (analytic) = 1.078419402066405796631000220211 y2[1] (numeric) = 1.0784194269072892749989328664111 absolute error = 2.48408834783679326462001e-08 relative error = 2.3034529451871180603933864874909e-06 % h = 0.0001 y1[1] (analytic) = 1.9969204568969118061054543043607 y1[1] (numeric) = 1.9969204565719102472632832426288 absolute error = 3.250015588421710617319e-10 relative error = 1.6275137936500632858431603303348e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2647.4MB, alloc=4.6MB, time=145.22 NO POLE NO POLE x[1] = 0.0786 y2[1] (analytic) = 1.0785190937198323243969295490579 y2[1] (numeric) = 1.0785191187193416182271990241927 absolute error = 2.49995092938302694751348e-08 relative error = 2.3179477711058873350957423485975e-06 % h = 0.0001 y1[1] (analytic) = 1.9969126099721159550954052755132 y1[1] (numeric) = 1.9969126096446223833460362787989 absolute error = 3.274935717493689967143e-10 relative error = 1.6399995178253793426351073890472e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2651.2MB, alloc=4.6MB, time=145.43 NO POLE NO POLE x[1] = 0.0787 y2[1] (analytic) = 1.078618784588067915618861414716 y2[1] (numeric) = 1.0786188097470123383264645630228 absolute error = 2.51589444227076031483068e-08 relative error = 2.3325149517320876816991924883359e-06 % h = 0.0001 y1[1] (analytic) = 1.9969047530781940126718017760434 y1[1] (numeric) = 1.9969047527481925249937593663772 absolute error = 3.300014876780424096662e-10 relative error = 1.6525649867343489712993428798808e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2655.0MB, alloc=4.6MB, time=145.65 NO POLE NO POLE x[1] = 0.0788 y2[1] (analytic) = 1.078718474670115661615270662201 y2[1] (numeric) = 1.078718499989307619527704291601 absolute error = 2.53191919579124336294000e-08 relative error = 2.3471547537605054515923226823106e-06 % h = 0.0001 y1[1] (analytic) = 1.9968968862152245477737977560713 y1[1] (numeric) = 1.9968968858826991600596848724678 absolute error = 3.325253877141128836035e-10 relative error = 1.6652106075660106147681550149498e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2658.9MB, alloc=4.6MB, time=145.85 x[1] = 0.0789 y2[1] (analytic) = 1.0788181639649786615665105822323 y2[1] (numeric) = 1.0788181894452336617937714639593 absolute error = 2.54802550002272608817270e-08 relative error = 2.3618674445172225032004359536108e-06 % h = 0.0001 y1[1] (analytic) = 1.9968890093832862290310223073857 y1[1] (numeric) = 1.9968890090482208757778356391805 absolute error = 3.350653532531866682052e-10 relative error = 1.6779367890690496647514484179022e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.079 y2[1] (analytic) = 1.078917852471660022524781919421 y2[1] (numeric) = 1.0789178781137966808393667876475 absolute error = 2.56421366583145848682265e-08 relative error = 2.3766532919602540246067589279960e-06 % h = 0.0001 y1[1] (analytic) = 1.9968811225824578247627929771481 y1[1] (numeric) = 1.9968811222448363587614507973349 absolute error = 3.376214660013421798132e-10 relative error = 1.6907439415557932044502256107600e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2662.7MB, alloc=4.6MB, time=146.05 NO POLE NO POLE x[1] = 0.0791 y2[1] (analytic) = 1.0790175401891628594241018017399 y2[1] (numeric) = 1.0790175659940029081510073531989 absolute error = 2.58048400487269055514590e-08 relative error = 2.3915125646801860144574932538065e-06 % h = 0.0001 y1[1] (analytic) = 1.9968732258128182029773280847006 y1[1] (numeric) = 1.9968732254726243950014095832682 absolute error = 3.401938079759185014324e-10 relative error = 1.7036324769062099702955754858305e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2666.5MB, alloc=4.6MB, time=146.26 NO POLE NO POLE x[1] = 0.0792 y2[1] (analytic) = 1.0791172271164902950902725911746 y2[1] (numeric) = 1.079117253084858591006995484779 absolute error = 2.59683682959167228936044e-08 relative error = 2.4064455319008124214021526102520e-06 % h = 0.0001 y1[1] (analytic) = 1.9968653190744463313709580414842 y1[1] (numeric) = 1.9968653187316638698646531587536 absolute error = 3.427824615063048827306e-10 relative error = 1.7166028085719155332712440798477e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2670.3MB, alloc=4.6MB, time=146.48 NO POLE NO POLE x[1] = 0.0793 y2[1] (analytic) = 1.0792169132526454602508506554575 y2[1] (numeric) = 1.0792169393853699924973875119154 absolute error = 2.61327245322465368564579e-08 relative error = 2.4214524634797719423197983919239e-06 % h = 0.0001 y1[1] (analytic) = 1.9968574023674212773273356740762 y1[1] (numeric) = 1.9968574020220337680926044340378 absolute error = 3.453875092347312400384e-10 relative error = 1.7296553515801827003821013974954e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2674.1MB, alloc=4.6MB, time=146.69 NO POLE NO POLE x[1] = 0.0794 y2[1] (analytic) = 1.079316598596631493545115060784 y2[1] (numeric) = 1.0793166248945433915439624622109 absolute error = 2.62979118979988474014269e-08 relative error = 2.4365336299091844795822111796749e-06 % h = 0.0001 y1[1] (analytic) = 1.9968494756918222079166455503543 y1[1] (numeric) = 1.996849475343813173799585894005 absolute error = 3.480090341170596563493e-10 relative error = 1.7427905225379571368315511486622e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2677.9MB, alloc=4.6MB, time=146.89 NO POLE NO POLE x[1] = 0.0795 y2[1] (analytic) = 1.0794162831474515415340361854109 y2[1] (numeric) = 1.0794163096113850829201906749385 absolute error = 2.64639335413861544895276e-08 relative error = 2.4516893023162872576045045372415e-06 % h = 0.0001 y1[1] (analytic) = 1.9968415390477283898948123087955 y1[1] (numeric) = 1.9968415386970812704712354274759 absolute error = 3.506471194235768813196e-10 relative error = 1.7560087396358782094686587205872e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2681.8MB, alloc=4.6MB, time=147.10 NO POLE NO POLE x[1] = 0.0796 y2[1] (analytic) = 1.0795159669041087587102442540389 y2[1] (numeric) = 1.0795159935349013772712023354203 absolute error = 2.66307926185609580813814e-08 relative error = 2.4669197524640705989336577462080e-06 % h = 0.0001 y1[1] (analytic) = 1.9968335924352191897027079909172 y1[1] (numeric) = 1.996833592081917340962920159649 absolute error = 3.533018487397878312682e-10 relative error = 1.7693104226523050520690098616125e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2685.6MB, alloc=4.6MB, time=147.31 x[1] = 0.0797 y2[1] (analytic) = 1.0796156498656063075079977928779 y2[1] (numeric) = 1.0796156766640986011337559300892 absolute error = 2.67984922936257581372113e-08 relative error = 2.4822252527519133601252937556616e-06 % h = 0.0001 y1[1] (analytic) = 1.9968256358543740734653583768697 y1[1] (numeric) = 1.9968256354984007674981482876927 absolute error = 3.559733059672100891770e-10 relative error = 1.7826959929573478530170506779403e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0798 y2[1] (analytic) = 1.0797153320309473583131520052957 y2[1] (numeric) = 1.0797153589979830969562066221347 absolute error = 2.69670357386430546168390e-08 relative error = 2.4976060762162180276589154372462e-06 % h = 0.0001 y1[1] (analytic) = 1.9968176693052726069911483241862 y1[1] (numeric) = 1.9968176689466110316669789194958 absolute error = 3.586615753241694046904e-10 relative error = 1.7961658735169043659473755506206e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2689.4MB, alloc=4.6MB, time=147.52 NO POLE NO POLE x[1] = 0.0799 y2[1] (analytic) = 1.0798150133991350894731270679519 y2[1] (numeric) = 1.0798150405355612231184745476321 absolute error = 2.71364261336453474796802e-08 relative error = 2.5130624965310454741413574723580e-06 % h = 0.0001 y1[1] (analytic) = 1.9968096927879944557710261096994 y1[1] (numeric) = 1.9968096924266277144244299155843 absolute error = 3.613667413465961941151e-10 relative error = 1.8097204888967016439166844191214e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2693.2MB, alloc=4.6MB, time=147.72 NO POLE NO POLE x[1] = 0.08 y2[1] (analytic) = 1.0799146939691726873068763473145 y2[1] (numeric) = 1.0799147212758393539520130320568 absolute error = 2.73066666666451366847423e-08 relative error = 2.5285947880087493750486725309255e-06 % h = 0.0001 y1[1] (analytic) = 1.9968017063026193849777067746335 y1[1] (numeric) = 1.9968017059385304960888837342124 absolute error = 3.640888888888230404211e-10 relative error = 1.8233602652663429976773622619099e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2697.0MB, alloc=4.6MB, time=147.93 NO POLE NO POLE x[1] = 0.0801 y2[1] (analytic) = 1.0800143737400633461148545364628 y2[1] (numeric) = 1.0800144012178238797597767270827 absolute error = 2.74777605336449221906199e-08 relative error = 2.5442032256006102862556961635621e-06 % h = 0.0001 y1[1] (analytic) = 1.9967937098492272594648744728768 y1[1] (numeric) = 1.9967937094823991563404912796364 absolute error = 3.668281031243831932404e-10 relative error = 1.8370856304033601786023321035375e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2700.8MB, alloc=4.6MB, time=148.14 NO POLE NO POLE x[1] = 0.0802 y2[1] (analytic) = 1.0801140527108102681889857120742 y2[1] (numeric) = 1.0801140803605212068361896675658 absolute error = 2.76497109386472039554916e-08 relative error = 2.5598880848974693826031260290237e-06 % h = 0.0001 y1[1] (analytic) = 1.996785703427898043766383822446 y1[1] (numeric) = 1.9967857030583135742195737535784 absolute error = 3.695844695468100688676e-10 relative error = 1.8508970136972707868501280568086e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2704.6MB, alloc=4.6MB, time=148.35 NO POLE NO POLE x[1] = 0.0803 y2[1] (analytic) = 1.0802137308804166638226313114966 y2[1] (numeric) = 1.0802137587029377574871132486128 absolute error = 2.78225210936644819371162e-08 relative error = 2.5756496421303618577512920143634e-06 % h = 0.0001 y1[1] (analytic) = 1.9967776870387118020954602601483 y1[1] (numeric) = 1.9967776866663537281250225098885 absolute error = 3.723580739704377502598e-10 relative error = 1.8647948461536409053258145660343e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2708.5MB, alloc=4.6MB, time=148.56 NO POLE NO POLE x[1] = 0.0804 y2[1] (analytic) = 1.0803134082478857513205580298067 y2[1] (numeric) = 1.0803134362440799700498141226357 absolute error = 2.79961942187292560928290e-08 relative error = 2.5914881741711499855698757928530e-06 % h = 0.0001 y1[1] (analytic) = 1.9967696606817486983438993994498 y1[1] (numeric) = 1.9967696603065996958126969124132 absolute error = 3.751490025312024870366e-10 relative error = 1.8787795603981529600111390391359e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2712.3MB, alloc=4.6MB, time=148.76 NO POLE NO POLE x[1] = 0.0805 y2[1] (analytic) = 1.0804130848122207570089056367538 y2[1] (numeric) = 1.0804131129829542989129320162921 absolute error = 2.81707335419040263795383e-08 relative error = 2.6074039585331558433126240803842e-06 % h = 0.0001 y1[1] (analytic) = 1.9967616243570889960812653915581 y1[1] (numeric) = 1.9967616239791316543938201960781 absolute error = 3.779573416874451954800e-10 relative error = 1.8928515906806788072330310983824e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2716.1MB, alloc=4.6MB, time=148.96 x[1] = 0.0806 y2[1] (analytic) = 1.0805127605724249152451547134903 y2[1] (numeric) = 1.0805127889185672145364474672116 absolute error = 2.83461422992912927537213e-08 relative error = 2.6233972733717936968258579591158e-06 % h = 0.0001 y1[1] (analytic) = 1.9967535780648130585540882897273 y1[1] (numeric) = 1.9967535776840298803333733311932 absolute error = 3.807831782207149585341e-10 relative error = 1.9070113728793580484407965686963e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0807 y2[1] (analytic) = 1.0806124355275014684280943089885 y2[1] (numeric) = 1.0806124640499252034716494804092 absolute error = 2.85224237350435551714207e-08 relative error = 2.6394683974852020480396165454676e-06 % h = 0.0001 y1[1] (analytic) = 1.9967455218050013486850604167937 y1[1] (numeric) = 1.9967455214213747494484868909881 absolute error = 3.836265992365735258056e-10 relative error = 1.9212593445046815730685974650316e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2719.9MB, alloc=4.6MB, time=149.17 NO POLE NO POLE x[1] = 0.0808 y2[1] (analytic) = 1.0807121096764536670077895160443 y2[1] (numeric) = 1.080712138376034768381103104285 absolute error = 2.86995811013733135882407e-08 relative error = 2.6556176103148753449898742387929e-06 % h = 0.0001 y1[1] (analytic) = 1.9967374555777344290722317359491 y1[1] (numeric) = 1.9967374551912467369068309223858 absolute error = 3.864876921654008135633e-10 relative error = 1.9355959447035803300465208074053e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2723.7MB, alloc=4.6MB, time=149.38 NO POLE NO POLE x[1] = 0.0809 y2[1] (analytic) = 1.0808117830182847694955489667686 y2[1] (numeric) = 1.0808118118959024280586169261115 absolute error = 2.88776176585630679593429e-08 relative error = 2.6718451919462953546202791580783e-06 % h = 0.0001 y1[1] (analytic) = 1.9967293793830929619882042247612 y1[1] (numeric) = 1.9967293789937264172250028200231 absolute error = 3.893665447632014047381e-10 relative error = 1.9500216142635193285408001945153e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2727.5MB, alloc=4.6MB, time=149.59 NO POLE NO POLE x[1] = 0.081 y2[1] (analytic) = 1.0809114555519980424738922474652 y2[1] (numeric) = 1.0809114846085347174492104869086 absolute error = 2.90565366749753182394434e-08 relative error = 2.6881514231095621986117762027648e-06 % h = 0.0001 y1[1] (analytic) = 1.9967212932211577093793252524484 y1[1] (numeric) = 1.9967212928288944642669132035251 absolute error = 3.922632451124120489233e-10 relative error = 1.9645367956165968684959748051555e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2731.3MB, alloc=4.6MB, time=149.80 NO POLE NO POLE x[1] = 0.0811 y2[1] (analytic) = 1.0810111272765967606065172327981 y2[1] (numeric) = 1.081011156512938187669081615606 absolute error = 2.92363414270625643828079e-08 relative error = 2.7045365851800250524879037698549e-06 % h = 0.0001 y1[1] (analytic) = 1.9967131970920095328648799604166 y1[1] (numeric) = 1.9967131966968316512421697980426 absolute error = 3.951778816227101623740e-10 relative error = 1.9791419328436490015474967733479e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2735.2MB, alloc=4.6MB, time=150.01 NO POLE NO POLE x[1] = 0.0812 y2[1] (analytic) = 1.0811107981910842066482673391458 y2[1] (numeric) = 1.0811108276081194060255736823939 absolute error = 2.94170351993773063432481e-08 relative error = 2.7210009601789125082439966834467e-06 % h = 0.0001 y1[1] (analytic) = 1.9967050909957293937362826460675 y1[1] (numeric) = 1.9967050905976188507044593180597 absolute error = 3.981105430318233280078e-10 relative error = 1.9938374716783592228910603669963e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2739.0MB, alloc=4.6MB, time=150.22 NO POLE NO POLE x[1] = 0.0813 y2[1] (analytic) = 1.0812104682944636714550986970445 y2[1] (numeric) = 1.0812104978930849560371427711626 absolute error = 2.95986212845820440741181e-08 relative error = 2.7375448307739626007479444009424e-06 % h = 0.0001 y1[1] (analytic) = 1.9966969749323983529562671498846 y1[1] (numeric) = 1.9966969745313370345499273544808 absolute error = 4.010613184063397954038e-10 relative error = 2.0086238595113733946696184597054e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2742.8MB, alloc=4.6MB, time=150.44 x[1] = 0.0814 y2[1] (analytic) = 1.0813101375857384539940472426205 y2[1] (numeric) = 1.0813101673668414374533247709305 absolute error = 2.97811029834592775283100e-08 relative error = 2.7541684802800524981600421817134e-06 % h = 0.0001 y1[1] (analytic) = 1.9966888489020975711580762458072 y1[1] (numeric) = 1.9966888484980672740155562650036 absolute error = 4.040302971425199808036e-10 relative error = 2.0235015453944199014733416501988e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0815 y2[1] (analytic) = 1.0814098060639118613531957279114 y2[1] (numeric) = 1.0814098360283954662747023861614 absolute error = 2.99644836049215066582500e-08 relative error = 2.7708721926598278566195095522445e-06 % h = 0.0001 y1[1] (analytic) = 1.9966807129049083086446500348979 y1[1] (numeric) = 1.9966807124978907396775410677875 absolute error = 4.070175689671089671104e-10 relative error = 2.0384709800444350385104477014959e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2746.6MB, alloc=4.6MB, time=150.65 NO POLE NO POLE x[1] = 0.0816 y2[1] (analytic) = 1.0815094737279872087516406499767 y2[1] (numeric) = 1.0815095038767536747728720658716 absolute error = 3.01487664660212314158949e-08 relative error = 2.7876562525243318394449633771982e-06 % h = 0.0001 y1[1] (analytic) = 1.9966725669409119253878133423144 y1[1] (numeric) = 1.9966725665308887014496633384251 absolute error = 4.100232239381500038893e-10 relative error = 2.0535326158476936330426216361507e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2750.4MB, alloc=4.6MB, time=150.86 NO POLE NO POLE x[1] = 0.0817 y2[1] (analytic) = 1.0816091405769678195494590986992 y2[1] (numeric) = 1.0816091709109227115104108514262 absolute error = 3.03339548919609517527270e-08 relative error = 2.8045209451336338010957998112340e-06 % h = 0.0001 y1[1] (analytic) = 1.9966644110101898810274621175918 y1[1] (numeric) = 1.9966644105971425285816631102245 absolute error = 4.130473524457990073673e-10 relative error = 2.0686869068639448996564439667298e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2754.2MB, alloc=4.6MB, time=151.07 NO POLE NO POLE x[1] = 0.0818 y2[1] (analytic) = 1.0817088066098570252576755231751 y2[1] (numeric) = 1.0817088371299092413608431429261 absolute error = 3.05200522161031676197510e-08 relative error = 2.8214665563974576361417999747875e-06 % h = 0.0001 y1[1] (analytic) = 1.9966562451128237348707488382444 y1[1] (numeric) = 1.996656244696733689657608777811 absolute error = 4.160900452131400604334e-10 relative error = 2.0839343088305535299524953525849e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2758.0MB, alloc=4.6MB, time=151.28 NO POLE NO POLE x[1] = 0.0819 y2[1] (analytic) = 1.081808471825658165548228416596 y2[1] (numeric) = 1.0818085025327199455286073840856 absolute error = 3.07070617799803789674896e-08 relative error = 2.8384933728758097934874789732444e-06 % h = 0.0001 y1[1] (analytic) = 1.9966480692488951458912669166945 y1[1] (numeric) = 1.9966480688297437525942650040565 absolute error = 4.191513932970019126380e-10 relative error = 2.0992752791666460172285312014204e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2761.9MB, alloc=4.6MB, time=151.48 NO POLE NO POLE x[1] = 0.082 y2[1] (analytic) = 1.0819081362233745882639369195213 y2[1] (numeric) = 1.0819081671183615215690226655001 absolute error = 3.08949869333050857459788e-08 relative error = 2.8556016817796069560979385019718e-06 % h = 0.0001 y1[1] (analytic) = 1.9966398834184858727282341105376 y1[1] (numeric) = 1.9966398829962543846394586303442 absolute error = 4.222314880887754801934e-10 relative error = 2.1147102769772622167468768024468e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2765.7MB, alloc=4.6MB, time=151.69 NO POLE NO POLE x[1] = 0.0821 y2[1] (analytic) = 1.0820077998020096494284673414411 y2[1] (numeric) = 1.0820078308858406834082552462057 absolute error = 3.10838310339797879047646e-08 relative error = 2.8727917709713033864728909678778e-06 % h = 0.0001 y1[1] (analytic) = 1.9966316876216777736856749361507 y1[1] (numeric) = 1.9966316871963473523704425901772 absolute error = 4.253304213152323459735e-10 relative error = 2.1302397630575121421583980736565e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2769.5MB, alloc=4.6MB, time=151.90 NO POLE NO POLE x[1] = 0.0822 y2[1] (analytic) = 1.0821074625605667132562996005318 y2[1] (numeric) = 1.08210749383416416136328499343 absolute error = 3.12735974481069853928982e-08 relative error = 2.8900639289655179381149410173674e-06 % h = 0.0001 y1[1] (analytic) = 1.9966234818585528067316020856525 y1[1] (numeric) = 1.9966234814301045216922578261388 absolute error = 4.284482850393442595137e-10 relative error = 2.1458641998967379986706627121065e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2773.3MB, alloc=4.6MB, time=152.10 x[1] = 0.0823 y2[1] (analytic) = 1.0822071244980491521626935815029 y2[1] (numeric) = 1.0822071559623387021618717404348 absolute error = 3.14642895499991781589319e-08 relative error = 2.9074184449296607332385250981120e-06 % h = 0.0001 y1[1] (analytic) = 1.9966152661291930294971968472246 y1[1] (numeric) = 1.9966152656976078578360932102135 absolute error = 4.315851716611036370111e-10 relative error = 2.1615840516826814535441346568703e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0824 y2[1] (analytic) = 1.0823067856134603467736554114358 y2[1] (numeric) = 1.0823068172693710689625215623507 absolute error = 3.16559107221888661509149e-08 relative error = 2.9248556086845595069654757367822e-06 % h = 0.0001 y1[1] (analytic) = 1.9966070404336805992759885287995 y1[1] (numeric) = 1.9966070399989394253576434674754 absolute error = 4.347411739183450613241e-10 relative error = 2.1773997843056561444959719670667e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2777.1MB, alloc=4.6MB, time=152.31 NO POLE NO POLE x[1] = 0.0825 y2[1] (analytic) = 1.0824064459058036859359036535156 y2[1] (numeric) = 1.0824064777542680413744529699047 absolute error = 3.18484643554385493163891e-08 relative error = 2.9423757107050856182531039170608e-06 % h = 0.0001 y1[1] (analytic) = 1.9965988047720977730230328851269 y1[1] (numeric) = 1.996598804334181388135465103154 absolute error = 4.379163848875677819729e-10 relative error = 2.1933118653627254266037542716400e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2780.9MB, alloc=4.6MB, time=152.53 NO POLE NO POLE x[1] = 0.0826 y2[1] (analytic) = 1.0825061053740825667268354185559 y2[1] (numeric) = 1.0825061374160364154775630209403 absolute error = 3.20419538487507276023844e-08 relative error = 2.9599790421207797278004811173855e-06 % h = 0.0001 y1[1] (analytic) = 1.9965905591445269073540895482232 y1[1] (numeric) = 1.9965905587034160093693303330844 absolute error = 4.411108979847592151388e-10 relative error = 2.2093207641618853582841713069607e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2784.8MB, alloc=4.6MB, time=152.73 NO POLE NO POLE x[1] = 0.0827 y2[1] (analytic) = 1.0826057640173003944644923942159 y2[1] (numeric) = 1.0826057962536830038423933496307 absolute error = 3.22363826093779009554148e-08 relative error = 2.9776658947164771431786125854389e-06 % h = 0.0001 y1[1] (analytic) = 1.9965823035510504585447984612146 y1[1] (numeric) = 1.9965823031067256515785790175502 absolute error = 4.443248069662194436644e-10 relative error = 2.2254269517262529269434755954250e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2788.6MB, alloc=4.6MB, time=152.94 NO POLE NO POLE x[1] = 0.0828 y2[1] (analytic) = 1.0827054218344605827175267918125 y2[1] (numeric) = 1.082705454266214635550096113286 absolute error = 3.24317540528325693214735e-08 relative error = 2.9954365609329328314297508452894e-06 % h = 0.0001 y1[1] (analytic) = 1.9965740379917509825298553155818 y1[1] (numeric) = 1.996574037544192776600468598528 absolute error = 4.475582059293867170538e-10 relative error = 2.2416309007982595148822129523987e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2792.4MB, alloc=4.6MB, time=153.14 NO POLE NO POLE x[1] = 0.0829 y2[1] (analytic) = 1.0828050788245665533151672106245 y2[1] (numeric) = 1.0828051114526381562123998566536 absolute error = 3.26280716028972326460291e-08 relative error = 3.0132913338674460993813026673171e-06 % h = 0.0001 y1[1] (analytic) = 1.9965657624667111349021859918135 y1[1] (numeric) = 1.9965657620158999455885220403412 absolute error = 4.508111893136639514723e-10 relative error = 2.2579330858438496060394839140487e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2796.2MB, alloc=4.6MB, time=153.35 NO POLE NO POLE x[1] = 0.083 y2[1] (analytic) = 1.0829047349866217363571844195929 y2[1] (numeric) = 1.0829047678119604279915752936134 absolute error = 3.28253386916343908740205e-08 relative error = 3.0312305072744849419192110842732e-06 % h = 0.0001 y1[1] (analytic) = 1.9965574769760136709121200034776 y1[1] (numeric) = 1.9965574765219298190108737737315 absolute error = 4.540838519012462297461e-10 relative error = 2.2743339830566847341677339190395e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2800.0MB, alloc=4.6MB, time=153.56 x[1] = 0.0831 y2[1] (analytic) = 1.0830043903196295702238570563144 y2[1] (numeric) = 1.0830044233431883296204010061671 absolute error = 3.30235587593965439498527e-08 relative error = 3.0492543755663100584659630983193e-06 % h = 0.0001 y1[1] (analytic) = 1.9965491815197414454665629447192 y1[1] (numeric) = 1.9965491810623651566486136433561 absolute error = 4.573762888179493013631e-10 relative error = 2.2908340703623526730328116362023e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0832 y2[1] (analytic) = 1.0831040448225935015859372432302 y2[1] (numeric) = 1.0831040780453287564221290606228 absolute error = 3.32227352548361918173926e-08 relative error = 3.0673632338135985379079316225759e-06 % h = 0.0001 y1[1] (analytic) = 1.9965408760979774131281679411914 y1[1] (numeric) = 1.9965408756372888175941288587197 absolute error = 4.606885955340390824717e-10 relative error = 2.3074338274225818692137350097397e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2803.8MB, alloc=4.6MB, time=153.77 NO POLE NO POLE x[1] = 0.0833 y2[1] (analytic) = 1.0832036984945169854146161209109 y2[1] (numeric) = 1.0832037319173886203304505408745 absolute error = 3.34228716349158344199636e-08 relative error = 3.0855573777460672122165769376816e-06 % h = 0.0001 y1[1] (analytic) = 1.9965325607108046281145061044303 y1[1] (numeric) = 1.9965325602467837602494439485486 absolute error = 4.640208678650621558817e-10 relative error = 2.3241337356394611181134030679549e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2807.6MB, alloc=4.6MB, time=153.97 NO POLE NO POLE x[1] = 0.0834 y2[1] (analytic) = 1.0833033513344034849914892983352 y2[1] (numeric) = 1.0833033849583748499094609986772 absolute error = 3.36239713649179717003420e-08 relative error = 3.1038371037530956790082652084470e-06 % h = 0.0001 y1[1] (analytic) = 1.9965242353583062442972359896793 y1[1] (numeric) = 1.9965242348909330423245587186156 absolute error = 4.673732019726772710637e-10 relative error = 2.3409342781596644837536617578714e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2811.5MB, alloc=4.6MB, time=154.18 NO POLE NO POLE x[1] = 0.0835 y2[1] (analytic) = 1.0834030033412564719185222200666 y2[1] (numeric) = 1.0834030371672943903736258208182 absolute error = 3.38260379184551036007516e-08 relative error = 3.1222027088843489932866967987869e-06 % h = 0.0001 y1[1] (analytic) = 1.9965159000405655152012720571737 y1[1] (numeric) = 1.9965158995698198208357842130245 absolute error = 4.707456943654878441492e-10 relative error = 2.3578359398786814629579187217275e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2815.3MB, alloc=4.6MB, time=154.39 NO POLE NO POLE x[1] = 0.0836 y2[1] (analytic) = 1.0835026545140794261280154502248 y2[1] (numeric) = 1.0835026885431542036077455130844 absolute error = 3.40290747774797300628596e-08 relative error = 3.1406544908504000286124004295921e-06 % h = 0.0001 y1[1] (analytic) = 1.996507554757665794003952136892 y1[1] (numeric) = 1.9965075542835273521040766789613 absolute error = 4.741384418998754579307e-10 relative error = 2.3748392074450523945107136702059e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2819.1MB, alloc=4.6MB, time=154.60 NO POLE NO POLE x[1] = 0.0837 y2[1] (analytic) = 1.083602304851875835892569873155 y2[1] (numeric) = 1.0836023390849612681869209009263 absolute error = 3.42330854322943510277713e-08 relative error = 3.1591927480233515079430770242226e-06 % h = 0.0001 y1[1] (analytic) = 1.9964991995096905335342038967833 y1[1] (numeric) = 1.9964991990321389917533695349218 absolute error = 4.775515417808343618615e-10 relative error = 2.3919445692646091138863912225971e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2822.9MB, alloc=4.6MB, time=154.81 NO POLE NO POLE x[1] = 0.0838 y2[1] (analytic) = 1.0837019543536491978350518106929 y2[1] (numeric) = 1.0837019887917225793965182467189 absolute error = 3.44380733815614664360260e-08 relative error = 3.1778177794374577043888743236040e-06 % h = 0.0001 y1[1] (analytic) = 1.9964908342967232862717103144786 y1[1] (numeric) = 1.9964908338157381947089033424231 absolute error = 4.809850915628069720555e-10 relative error = 2.4091525155047208541427652214462e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2826.7MB, alloc=4.6MB, time=155.02 NO POLE NO POLE x[1] = 0.0839 y2[1] (analytic) = 1.0838016030184030169385580559282 y2[1] (numeric) = 1.0838016376624451492521342835201 absolute error = 3.46440421323135762275919e-08 relative error = 3.1965298847897458121260937799138e-06 % h = 0.0001 y1[1] (analytic) = 1.9964824591188477043460741524947 y1[1] (numeric) = 1.9964824586344085151955537812075 absolute error = 4.844391891505203712872e-10 relative error = 2.4264635380985453935758997027717e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2830.5MB, alloc=4.6MB, time=155.22 x[1] = 0.084 y2[1] (analytic) = 1.0839012508451408065563808233651 y2[1] (numeric) = 1.0839012856961360065195611652265 absolute error = 3.48509951999631803418614e-08 relative error = 3.2153293644406369877130086508096e-06 % h = 0.0001 y1[1] (analytic) = 1.9964740739761475395359814369392 y1[1] (numeric) = 1.996474073488233606736157627947 absolute error = 4.879139327998238089922e-10 relative error = 2.4438781307492854507333697135544e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0841 y2[1] (analytic) = 1.0840008978328660884219726153813 y2[1] (numeric) = 1.0840009328918021967347513330276 absolute error = 3.50589361083127787176463e-08 relative error = 3.2342165194145670620511420825965e-06 % h = 0.0001 y1[1] (analytic) = 1.9964656788687066432683639397238 y1[1] (numeric) = 1.9964656783772972221498367384576 absolute error = 4.914094211185272012662e-10 relative error = 2.4613967889344503273725820442359e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2834.3MB, alloc=4.6MB, time=155.43 NO POLE NO POLE x[1] = 0.0842 y2[1] (analytic) = 1.0841005439805823926589110048851 y2[1] (numeric) = 1.0841005792484507822237822980577 absolute error = 3.52678683895648712931726e-08 relative error = 3.2531916514006069232352177992167e-06 % h = 0.0001 y1[1] (analytic) = 1.9964572737966089666175606642959 y1[1] (numeric) = 1.9964572733016832135503200334303 absolute error = 4.949257530672406308656e-10 relative error = 2.4790200099101227999770181303822e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2838.2MB, alloc=4.6MB, time=155.63 NO POLE NO POLE x[1] = 0.0843 y2[1] (analytic) = 1.0842001892872932577908633340709 y2[1] (numeric) = 1.0842002247650888421228213401472 absolute error = 3.54777955843319580060763e-08 relative error = 3.2722550627530825705349982858763e-06 % h = 0.0001 y1[1] (analytic) = 1.9964488587599385603044783348963 y1[1] (numeric) = 1.9964488582614755323442634876889 absolute error = 4.984630279602148472074e-10 relative error = 2.4967482927152312604169512380620e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2842.0MB, alloc=4.6MB, time=155.84 NO POLE NO POLE x[1] = 0.0844 y2[1] (analytic) = 1.084299833752002230751551329175 y2[1] (numeric) = 1.0842998694407234723980901225728 absolute error = 3.56887212416465387933978e-08 relative error = 3.2914070564921948397517203663994e-06 % h = 0.0001 y1[1] (analytic) = 1.9964404337587795746957508893502 y1[1] (numeric) = 1.9964404332567582292295681229814 absolute error = 5.020213454661827663688e-10 relative error = 2.5145821381758271063554511832320e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2845.8MB, alloc=4.6MB, time=156.05 NO POLE NO POLE x[1] = 0.0845 y2[1] (analytic) = 1.0843994773737128668947156311295 y2[1] (numeric) = 1.0843995132743617858658292227067 absolute error = 3.59006489189711135915772e-08 relative error = 3.3106479363046388001921173253268e-06 % h = 0.0001 y1[1] (analytic) = 1.9964319987932162598028979754018 y1[1] (numeric) = 1.9964319982876154541936960043145 absolute error = 5.056008056092019710873e-10 relative error = 2.5325220489093673820032310208750e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2849.6MB, alloc=4.6MB, time=156.25 NO POLE NO POLE x[1] = 0.0846 y2[1] (analytic) = 1.0844991201514287300040802420166 y2[1] (numeric) = 1.084499156265010912212262578466 absolute error = 3.61135821822081823364494e-08 relative error = 3.3299780065442228235025488382354e-06 % h = 0.0001 y1[1] (analytic) = 1.9964235538633329652814824506 y1[1] (numeric) = 1.9964235533541314565119842398391 absolute error = 5.092015087694982107609e-10 relative error = 2.5505685293290026698206171606472e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2853.4MB, alloc=4.6MB, time=156.46 NO POLE NO POLE x[1] = 0.0847 y2[1] (analytic) = 1.0845987620841533923033168872234 y2[1] (numeric) = 1.0845987984116779980135618504624 absolute error = 3.63275246057102449632390e-08 relative error = 3.3493975722324873246057073531440e-06 % h = 0.0001 y1[1] (analytic) = 1.9964150989692141404302668857434 y1[1] (numeric) = 1.9964150984563905847459569842957 absolute error = 5.128235556843099014477e-10 relative error = 2.5687220856478702337641593293634e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2857.2MB, alloc=4.6MB, time=156.67 x[1] = 0.0848 y2[1] (analytic) = 1.0846984031708904344660092931967 y2[1] (numeric) = 1.0846984397133702067558106997516 absolute error = 3.65424797722898014065549e-08 relative error = 3.3689069390593231749822063390320e-06 % h = 0.0001 y1[1] (analytic) = 1.996406634110944334190369071893 y1[1] (numeric) = 1.9964066335944772867416354460272 absolute error = 5.164670474487336258658e-10 relative error = 2.5869832258833924146841488962804e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0849 y2[1] (analytic) = 1.0847980434106434456256173806987 y2[1] (numeric) = 1.0847980801690947188549689810844 absolute error = 3.67584512732293516003857e-08 relative error = 3.3885064133835897885393125436765e-06 % h = 0.0001 y1[1] (analytic) = 1.9963981592886081951444165309624 y1[1] (numeric) = 1.9963981587684761096278458975686 absolute error = 5.201320855165706333938e-10 relative error = 2.6053524598615802784770467231199e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2861.0MB, alloc=4.6MB, time=156.87 NO POLE NO POLE x[1] = 0.085 y2[1] (analytic) = 1.0848976828024160233854413734644 y2[1] (numeric) = 1.0848977197778587316768368515586 absolute error = 3.69754427082913954780942e-08 relative error = 3.4081963022337328803086724467433e-06 % h = 0.0001 y1[1] (analytic) = 1.9963896745022904715157000298915 y1[1] (numeric) = 1.9963896739784716998145256898216 absolute error = 5.238187717011743400699e-10 relative error = 2.6238302992213425175860389517576e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2864.9MB, alloc=4.6MB, time=157.08 NO POLE NO POLE x[1] = 0.0851 y2[1] (analytic) = 1.0849973213452117738285858221599 y2[1] (numeric) = 1.0849973585386694595570187945725 absolute error = 3.71934576857284329724126e-08 relative error = 3.4279769133084018982150336718314e-06 % h = 0.0001 y1[1] (analytic) = 1.996381179752076011167326098415 y1[1] (numeric) = 1.9963811792245488029910272698224 absolute error = 5.275272081762988285926e-10 relative error = 2.6424172574187996064687222066274e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2868.7MB, alloc=4.6MB, time=157.29 NO POLE NO POLE x[1] = 0.0852 y2[1] (analytic) = 1.0850969590380343115279235435436 y2[1] (numeric) = 1.0850969964505341338208875589803 absolute error = 3.74124998222929640154367e-08 relative error = 3.4478485549770671281575043140773e-06 % h = 0.0001 y1[1] (analytic) = 1.9963726750380497616013685504315 y1[1] (numeric) = 1.9963726745067922641244202021114 absolute error = 5.312574974769483483201e-10 relative error = 2.6611138497316032116221047782597e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2872.5MB, alloc=4.6MB, time=157.50 NO POLE NO POLE x[1] = 0.0853 y2[1] (analytic) = 1.0851965958798872595560594747286 y2[1] (numeric) = 1.0851966335124600028035480133497 absolute error = 3.76325727432474885386211e-08 relative error = 3.4678115362806364726450807357969e-06 % h = 0.0001 y1[1] (analytic) = 1.9963641603602967699580190089836 y1[1] (numeric) = 1.9963641598252870274577911937132 absolute error = 5.350097425002278152704e-10 relative error = 2.6799205932632608567803927495798e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2876.3MB, alloc=4.6MB, time=157.71 NO POLE NO POLE x[1] = 0.0854 y2[1] (analytic) = 1.0852962318697742494952944424488 y2[1] (numeric) = 1.0852962697234543318698009152225 absolute error = 3.78536800823745064727737e-08 relative error = 3.4878661669320719032276799622181e-06 % h = 0.0001 y1[1] (analytic) = 1.9963556357189021830147364348571 y1[1] (numeric) = 1.9963556351801181365085421227355 absolute error = 5.387840465061943121216e-10 relative error = 2.6988380069474658438892459098505e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2880.1MB, alloc=4.6MB, time=157.92 NO POLE NO POLE x[1] = 0.0855 y2[1] (analytic) = 1.0853958670066989214475888472271 y2[1] (numeric) = 1.0853959050825244034341065952778 absolute error = 3.80758254819865177480507e-08 relative error = 3.5080127573170055869640268507775e-06 % h = 0.0001 y1[1] (analytic) = 1.9963471011139512471853956588063 y1[1] (numeric) = 1.9963471005713707340666860705952 absolute error = 5.425805131187095882111e-10 relative error = 2.7178666115524324304569193489513e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2883.9MB, alloc=4.6MB, time=158.13 NO POLE NO POLE x[1] = 0.0856 y2[1] (analytic) = 1.0854955012896649240445262623483 y2[1] (numeric) = 1.0854955395886775169805485562987 absolute error = 3.82990125929360222939504e-08 relative error = 3.5282516184943556871673258167210e-06 % h = 0.0001 y1[1] (analytic) = 1.9963385565455293085194349174169 y1[1] (numeric) = 1.9963385559991300621931413578805 absolute error = 5.463992463262935595364e-10 relative error = 2.7370069296852362639034816270140e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0857 y2[1] (analytic) = 1.0855951347176759144572769475338 y2[1] (numeric) = 1.0855951732409209890827969868429 absolute error = 3.85232450746255200393091e-08 relative error = 3.5485830621969418386699545460344e-06 % h = 0.0001 memory used=2887.8MB, alloc=4.6MB, time=158.33 y1[1] (analytic) = 1.9963300020137218127010023926117 y1[1] (numeric) = 1.9963300014634814622180235838574 absolute error = 5.502403504829788087543e-10 relative error = 2.7562594857961600735004852804630e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0858 y2[1] (analytic) = 1.0856947672897355584065612772228 y2[1] (numeric) = 1.0856948060382621534240721895171 absolute error = 3.87485265950175109122943e-08 relative error = 3.5690074008321002978475179005733e-06 % h = 0.0001 y1[1] (analytic) = 1.9963214375186143050481017548098 y1[1] (numeric) = 1.9963214369645103747389356696289 absolute error = 5.541039303091660851809e-10 relative error = 2.7756248061830446205222551980605e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2891.6MB, alloc=4.6MB, time=158.54 NO POLE NO POLE x[1] = 0.0859 y2[1] (analytic) = 1.085794399004847530172613083356 y2[1] (numeric) = 1.0857944379797083608171079237561 absolute error = 3.89748608306444948404001e-08 relative error = 3.5895249474822987676433410698471e-06 % h = 0.0001 y1[1] (analytic) = 1.9963128630602924305117367097478 y1[1] (numeric) = 1.9963128625023023396192559049556 absolute error = 5.579900908924808047922e-10 relative error = 2.7951034189956449072176756204596e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2895.4MB, alloc=4.6MB, time=158.74 NO POLE NO POLE x[1] = 0.086 y2[1] (analytic) = 1.0858940298620155126051429125651 y2[1] (numeric) = 1.0858940690642669792241146630065 absolute error = 3.92022514666189717504414e-08 relative error = 3.6101360159057508978335636217392e-06 % h = 0.0001 y1[1] (analytic) = 1.99630427863884193367505454897 y1[1] (numeric) = 1.9963042780769429959864239987466 absolute error = 5.618989376886305502234e-10 relative error = 2.8146958542399916452035796574607e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2899.2MB, alloc=4.6MB, time=158.95 NO POLE NO POLE x[1] = 0.0861 y2[1] (analytic) = 1.0859936598602431971333011976676 y2[1] (numeric) = 1.085993699290945393776742766216 absolute error = 3.94307021966434415685484e-08 relative error = 3.6308409205370304607732949168996e-06 % h = 0.0001 y1[1] (analytic) = 1.9962956842543486587524887039979 y1[1] (numeric) = 1.9962956836885180822302251332288 absolute error = 5.658305765222635707691e-10 relative error = 2.8344026437827579839021219319670e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2903.0MB, alloc=4.6MB, time=159.16 NO POLE NO POLE x[1] = 0.0862 y2[1] (analytic) = 1.086093288998534283775641343367 y2[1] (numeric) = 1.0860933286587510067960455635277 absolute error = 3.96602167230204042201607e-08 relative error = 3.6516399764876852028639361785403e-06 % h = 0.0001 y1[1] (analytic) = 1.9962870799068985495889003041862 y1[1] (numeric) = 1.9962870793371134360010720218034 absolute error = 5.697851135878282823828e-10 relative error = 2.8542243213556314996262190949883e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2906.8MB, alloc=4.6MB, time=159.37 NO POLE NO POLE x[1] = 0.0863 y2[1] (analytic) = 1.0861929172758924811500827260586 y2[1] (numeric) = 1.0861929571666912378124423560809 absolute error = 3.98907987566623596300223e-08 relative error = 3.6725334995468503719818062816411e-06 % h = 0.0001 y1[1] (analytic) = 1.9962784655965776496587187382756 y1[1] (numeric) = 1.996278465022814994208284970598 absolute error = 5.737626554504337676776e-10 relative error = 2.8741614225596914459354144909586e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2910.6MB, alloc=4.6MB, time=159.58 NO POLE NO POLE x[1] = 0.0864 y2[1] (analytic) = 1.0862925446913215064838736076423 y2[1] (numeric) = 1.0862925848137735235856813298176 absolute error = 4.01224520171018077221753e-08 relative error = 3.6935218061818619211077337428112e-06 % h = 0.0001 y1[1] (analytic) = 1.9962698413234721020650812196485 y1[1] (numeric) = 1.996269840745708793018369943723 absolute error = 5.777633090467112759255e-10 relative error = 2.8942144848697912658627208175763e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2914.5MB, alloc=4.6MB, time=159.79 x[1] = 0.0865 y2[1] (analytic) = 1.086392171243825085623553963242 y2[1] (numeric) = 1.0863922115990053181248023831962 absolute error = 4.03551802325012484199542e-08 relative error = 3.7146052135388693883975027446958e-06 % h = 0.0001 y1[1] (analytic) = 1.9962612070876681495389713552988 y1[1] (numeric) = 1.9962612065058809678532946322412 absolute error = 5.817871816856767230576e-10 relative error = 2.9143840476389463666382794321913e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0866 y2[1] (analytic) = 1.0864917969324069530449182227313 y2[1] (numeric) = 1.0864918375213940927080998687122 absolute error = 4.05889871396631816459809e-08 relative error = 3.7357840394434484539327231438168e-06 % h = 0.0001 y1[1] (analytic) = 1.9962525628892521344383567185225 y1[1] (numeric) = 1.9962525623034177533887625268587 absolute error = 5.858343810495941916638e-10 relative error = 2.9346706521027271575178800902435e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2918.3MB, alloc=4.6MB, time=159.99 NO POLE NO POLE x[1] = 0.0867 y2[1] (analytic) = 1.086591421756070851862977925968 y2[1] (numeric) = 1.0865914625799473359030852481258 absolute error = 4.08238764840401073221578e-08 relative error = 3.7570586024012131733912939407619e-06 % h = 0.0001 y1[1] (analytic) = 1.9962439087283104987473254253391 y1[1] (numeric) = 1.9962439081384054835524849943459 absolute error = 5.899050151948404309932e-10 relative error = 2.9550748413836573513381486760884e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2922.1MB, alloc=4.6MB, time=160.21 NO POLE NO POLE x[1] = 0.0868 y2[1] (analytic) = 1.0866910457138205338419242916349 y2[1] (numeric) = 1.0866910867736725535864496612979 absolute error = 4.10598520197445253696630e-08 relative error = 3.7784292215984278888770853416877e-06 % h = 0.0001 y1[1] (analytic) = 1.996235244604929784075221714651 y1[1] (numeric) = 1.9962352440109305915224513576975 absolute error = 5.939991925527703569535e-10 relative error = 2.9755971604956175304064229986421e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2925.9MB, alloc=4.6MB, time=160.44 NO POLE NO POLE x[1] = 0.0869 y2[1] (analytic) = 1.0867906688046597594050906995903 y2[1] (numeric) = 1.0867907101015772689640264085339 absolute error = 4.12969175095589357089436e-08 relative error = 3.7998962169026188171475763897980e-06 % h = 0.0001 y1[1] (analytic) = 1.9962265705191966316557805321511 y1[1] (numeric) = 1.99622656992107960972519698004 absolute error = 5.981170219305835521111e-10 relative error = 2.9962381563482539773511083061105e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2929.7MB, alloc=4.6MB, time=160.66 NO POLE NO POLE x[1] = 0.087 y2[1] (analytic) = 1.0868902910275922976449150866258 y2[1] (numeric) = 1.0868903325626690225907533463362 absolute error = 4.15350767249458382597104e-08 relative error = 3.8214599088631853154787053942390e-06 % h = 0.0001 y1[1] (analytic) = 1.9962178864711977823462611179861 y1[1] (numeric) = 1.9962178858689391698340693522948 absolute error = 6.022586125121917656913e-10 relative error = 3.0169983777513927715475225169852e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2933.5MB, alloc=4.6MB, time=160.86 NO POLE NO POLE x[1] = 0.0871 y2[1] (analytic) = 1.0869899123816219263329022555341 y2[1] (numeric) = 1.0869899541559553723906351964654 absolute error = 4.17743334460577329409313e-08 relative error = 3.8431206187120108254054866216800e-06 % h = 0.0001 y1[1] (analytic) = 1.9962091924610200766265795981845 y1[1] (numeric) = 1.9962091918545960027674921846068 absolute error = 6.064240738590874135777e-10 relative error = 3.0378783754194591517334781404940e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2937.3MB, alloc=4.6MB, time=161.07 NO POLE NO POLE x[1] = 0.0872 y2[1] (analytic) = 1.0870895328657524319295860973853 y2[1] (numeric) = 1.0870895748804438936767057682112 absolute error = 4.20146914617471196708259e-08 relative error = 3.8648786683640734945772737887194e-06 % h = 0.0001 y1[1] (analytic) = 1.9962004884887504545984405798584 y1[1] (numeric) = 1.9962004878781369386872275015456 absolute error = 6.106135159112130783128e-10 relative error = 3.0588787019759021454441153233641e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2941.2MB, alloc=4.6MB, time=161.28 x[1] = 0.0873 y2[1] (analytic) = 1.0871891524789876095944917269133 y2[1] (numeric) = 1.0871891947351421791709900937726 absolute error = 4.22561545695764983668593e-08 relative error = 3.8867343804180564769659854680035e-06 % h = 0.0001 y1[1] (analytic) = 1.9961917745544759559844677501869 y1[1] (numeric) = 1.9961917739396489069966357410897 absolute error = 6.148270489878320090972e-10 relative error = 3.0799999119576244658731970462738e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0874 y2[1] (analytic) = 1.0872887712203312631960975309124 y2[1] (numeric) = 1.0872888137190578390244664766483 absolute error = 4.24987265758283689457359e-08 relative error = 3.9086880781569579116657139374168e-06 % h = 0.0001 y1[1] (analytic) = 1.9961830506582837201273334791908 y1[1] (numeric) = 1.9961830500392189363389338574008 absolute error = 6.190647837883996217900e-10 relative error = 3.1012425618194176767948669628643e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2945.0MB, alloc=4.6MB, time=161.49 NO POLE NO POLE x[1] = 0.0875 y2[1] (analytic) = 1.0873883890887872053217971295441 y2[1] (numeric) = 1.0873884318311985008370284529372 absolute error = 4.27424112955152313233931e-08 relative error = 3.9307400855487005805219050463487e-06 % h = 0.0001 y1[1] (analytic) = 1.9961743168002609859888874263066 y1[1] (numeric) = 1.9961743161769341545954514273978 absolute error = 6.233268313934359989088e-10 relative error = 3.1226072099384026261595708848207e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2948.8MB, alloc=4.6MB, time=161.70 NO POLE NO POLE x[1] = 0.0876 y2[1] (analytic) = 1.0874880060833592572878612504551 y2[1] (numeric) = 1.0874880490705718096774466654505 absolute error = 4.29872125523895854149954e-08 relative error = 3.9528907272467412448282008238556e-06 % h = 0.0001 y1[1] (analytic) = 1.9961655729804950921492841507685 y1[1] (numeric) = 1.9961655723528817888838847611394 absolute error = 6.276133032653993896291e-10 relative error = 3.1440944166184751489855964788550e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2952.6MB, alloc=4.6MB, time=161.90 NO POLE NO POLE x[1] = 0.0877 y2[1] (analytic) = 1.0875876222030512491493995156057 y2[1] (numeric) = 1.0875876654361854281033306505341 absolute error = 4.32331341789539311349284e-08 relative error = 3.9751403285906796613287936495586e-06 % h = 0.0001 y1[1] (analytic) = 1.9961568191990734768061097258079 y1[1] (numeric) = 1.9961568185671491655565490160232 absolute error = 6.319243112495607097847e-10 relative error = 3.1657047440947570401774435234817e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2956.4MB, alloc=4.6MB, time=162.11 NO POLE NO POLE x[1] = 0.0878 y2[1] (analytic) = 1.0876872374468670197103221407111 y2[1] (numeric) = 1.0876872809270470361810905375031 absolute error = 4.34801800164707683967920e-08 relative error = 3.9974892156068672777639716356785e-06 % h = 0.0001 y1[1] (analytic) = 1.996148055456083677773507356678 y1[1] (numeric) = 1.9961480548198237101986283148106 absolute error = 6.362599675748790418674e-10 relative error = 3.1874387565380522978864460985179e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2960.2MB, alloc=4.6MB, time=162.32 NO POLE NO POLE x[1] = 0.0879 y2[1] (analytic) = 1.0877868518138104165333015471937 y2[1] (numeric) = 1.0877868955421643315058986605879 absolute error = 4.37283539149725971133942e-08 relative error = 4.0199377150090156081965772549189e-06 % h = 0.0001 y1[1] (analytic) = 1.9961392817516133324813020025134 y1[1] (numeric) = 1.9961392811109929476264238674862 absolute error = 6.406203848548781350272e-10 relative error = 3.2092970200593086380443365036552e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2964.0MB, alloc=4.6MB, time=162.53 NO POLE NO POLE x[1] = 0.088 y2[1] (analytic) = 1.0878864653028852959497338865477 y2[1] (numeric) = 1.0878865092805450292216510832933 absolute error = 4.39776597332719171967456e-08 relative error = 4.0424861541988042883568310484783e-06 % h = 0.0001 y1[1] (analytic) = 1.9961304980857501779741240020321 y1[1] (numeric) = 1.9961304974407445018856000969604 absolute error = 6.450056760885239050717e-10 relative error = 3.2312801027140842806886574542961e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2967.9MB, alloc=4.6MB, time=162.74 NO POLE NO POLE x[1] = 0.0881 y2[1] (analytic) = 1.0879860779130955230697004770177 y2[1] (numeric) = 1.0879861221411968620409290350692 absolute error = 4.42281013389712285580515e-08 relative error = 4.0651348612664888112425276169718e-06 % h = 0.0001 y1[1] (analytic) = 1.9961217044585820509105317030905 y1[1] (numeric) = 1.996121703809166096249428768624 absolute error = 6.494159546611029344665e-10 relative error = 3.2533885745070200087151998550943e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2971.7MB, alloc=4.6MB, time=162.94 x[1] = 0.0882 y2[1] (analytic) = 1.0880856896434449717919291524887 y2[1] (numeric) = 1.0880857341231275802649602601957 absolute error = 4.44796826084730311077070e-08 relative error = 4.0878841649915079432122420957416e-06 % h = 0.0001 y1[1] (analytic) = 1.9961129008701968875621330960981 y1[1] (numeric) = 1.9961129002163455532170311237631 absolute error = 6.538513343451019723350e-10 relative error = 3.2756230073963164996763516251596e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0883 y2[1] (analytic) = 1.0881853004929375248137555234912 y2[1] (numeric) = 1.0881853452253449518035802787806 absolute error = 4.47324074269898247552894e-08 relative error = 4.1107343948430908208080146119185e-06 % h = 0.0001 y1[1] (analytic) = 1.9961040873206827238127064513024 y1[1] (numeric) = 1.9961040866623707945116180168442 absolute error = 6.583119293010884344582e-10 relative error = 3.2979839752982169312560052908821e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2975.5MB, alloc=4.6MB, time=163.15 NO POLE NO POLE x[1] = 0.0884 y2[1] (analytic) = 1.0882849104605770736410841502189 y2[1] (numeric) = 1.0882849554468567621951935597713 absolute error = 4.49862796885541094095524e-08 relative error = 4.1336858809808637285447676699059e-06 % h = 0.0001 y1[1] (analytic) = 1.9960952638101276951573199599516 y1[1] (numeric) = 1.9960952631473298410787280566771 absolute error = 6.627978540785919032745e-10 relative error = 3.3204720540914948610494074493195e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2979.3MB, alloc=4.6MB, time=163.36 NO POLE NO POLE x[1] = 0.0885 y2[1] (analytic) = 1.088384519545367518598349627462 y2[1] (numeric) = 1.0883845647866708146267346058812 absolute error = 4.52413032960283849784192e-08 relative error = 4.1567389542554565579028811179959e-06 % h = 0.0001 y1[1] (analytic) = 1.9960864303386200367014503793451 y1[1] (numeric) = 1.996086429671310813084463751465 absolute error = 6.673092236169866278801e-10 relative error = 3.3430878216219473812800803313412e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2983.1MB, alloc=4.6MB, time=163.56 NO POLE NO POLE x[1] = 0.0886 y2[1] (analytic) = 1.0884841277463127688384775813542 y2[1] (numeric) = 1.08848417324379492995362895033 absolute error = 4.54974821611151513689758e-08 relative error = 4.1798939462091089477605854219763e-06 % h = 0.0001 y1[1] (analytic) = 1.9960775869062480831601006817791 y1[1] (numeric) = 1.9960775862344019299137256577506 absolute error = 6.718461532463750240285e-10 relative error = 3.3658318577068935490761665063314e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2986.9MB, alloc=4.6MB, time=163.77 NO POLE NO POLE x[1] = 0.0887 y2[1] (analytic) = 1.0885837350624167423528455778351 y2[1] (numeric) = 1.0885837808172369467197540652999 absolute error = 4.57548202043669084874648e-08 relative error = 4.2031511890762761065025921463926e-06 % h = 0.0001 y1[1] (analytic) = 1.9960687335131002688569167073972 y1[1] (numeric) = 1.9960687328366915101684445332668 absolute error = 6.764087586884721741304e-10 relative error = 3.3887047441396780929433165112294e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2990.7MB, alloc=4.6MB, time=163.98 NO POLE NO POLE x[1] = 0.0888 y2[1] (analytic) = 1.0886833414926833659812439427283 y2[1] (numeric) = 1.0886833875060047211774001820065 absolute error = 4.60133213551961562392782e-08 relative error = 4.2265110157842343160410654158358e-06 % h = 0.0001 y1[1] (analytic) = 1.9960598701592651277233028209551 y1[1] (numeric) = 1.9960598694782679716658114937011 absolute error = 6.809971560574913272540e-10 relative error = 3.4117070646941803960654681158907e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2994.6MB, alloc=4.6MB, time=164.19 NO POLE NO POLE x[1] = 0.0889 y2[1] (analytic) = 1.0887829470361165754218364933351 y2[1] (numeric) = 1.088782993309106127307231022286 absolute error = 4.62729895518853945289509e-08 relative error = 4.2499737599536861179851824691816e-06 % h = 0.0001 y1[1] (analytic) = 1.996050996844831293297536572507 y1[1] (numeric) = 1.9960509961592198314365061733826 absolute error = 6.856114618610303991244e-10 relative error = 3.4348394051293287570590947017255e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2998.4MB, alloc=4.6MB, time=164.40 x[1] = 0.089 y2[1] (analytic) = 1.0888825516917203152411211814445 y2[1] (numeric) = 1.0888825982255490568382444415985 absolute error = 4.65338287415971232601540e-08 relative error = 4.2735397558993651821951429663230e-06 % h = 0.0001 y1[1] (analytic) = 1.9960421135698874987238823620237 y1[1] (numeric) = 1.9960421128796357057229228898996 absolute error = 6.902517930009594721241e-10 relative error = 3.4581023531936199288237744358905e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0891 y2[1] (analytic) = 1.0889821554584985388838906476601 y2[1] (numeric) = 1.0889822022543414192677329833479 absolute error = 4.67958428803838423356878e-08 relative error = 4.2972093386306408579564107725628e-06 % h = 0.0001 y1[1] (analytic) = 1.9960332203345225767517041079506 y1[1] (numeric) = 1.9960332196396043099773948126582 absolute error = 6.949182667743092952924e-10 relative error = 3.4814964986296439361116323608550e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3002.2MB, alloc=4.6MB, time=164.60 NO POLE NO POLE x[1] = 0.0892 y2[1] (analytic) = 1.0890817583354552086831926869438 y2[1] (numeric) = 1.0890818053944911418812443444188 absolute error = 4.70590359331980516574750e-08 relative error = 4.3209828438521224080098776909733e-06 % h = 0.0001 y1[1] (analytic) = 1.9960243171388254597345769197146 y1[1] (numeric) = 1.9960243164392144588604161353894 absolute error = 6.996110008741607843252e-10 relative error = 3.5050224331786141724574858854436e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3006.0MB, alloc=4.6MB, time=164.81 NO POLE NO POLE x[1] = 0.0893 y2[1] (analytic) = 1.089181360321594295870290625277 y2[1] (numeric) = 1.0891814076450061697725417518305 absolute error = 4.73234118739022511265535e-08 relative error = 4.3448606079642629256733883363344e-06 % h = 0.0001 y1[1] (analytic) = 1.9960154039828851796293977741897 y1[1] (numeric) = 1.9960154032785550662388622526139 absolute error = 7.043301133905355215758e-10 relative error = 3.5286807505849027771077574540043e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3009.8MB, alloc=4.6MB, time=165.03 NO POLE NO POLE x[1] = 0.0894 y2[1] (analytic) = 1.0892809614159197805846236073394 y2[1] (numeric) = 1.0892810090048944658635642504096 absolute error = 4.75889746852789406430702e-08 relative error = 4.3688429680639629352900998460920e-06 % h = 0.0001 y1[1] (analytic) = 1.9960064808667908679954951961281 y1[1] (numeric) = 1.9960064801577151451842079400743 absolute error = 7.090757228112872560538e-10 relative error = 3.5524720466005812925694253667651e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3013.6MB, alloc=4.6MB, time=165.24 NO POLE NO POLE x[1] = 0.0895 y2[1] (analytic) = 1.089380561617435651883766795107 y2[1] (numeric) = 1.0893806094731640109243869013798 absolute error = 4.78557283590406201062728e-08 relative error = 4.3929302619451736762385970885483e-06 % h = 0.0001 y1[1] (analytic) = 1.9959975477906317559937379425682 y1[1] (numeric) = 1.9959975470767838079707435391425 absolute error = 7.138479480229944034257e-10 relative error = 3.5763969189899666034335905728704e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3017.5MB, alloc=4.6MB, time=165.45 NO POLE NO POLE x[1] = 0.0896 y2[1] (analytic) = 1.0894801609251459077533914772672 y2[1] (numeric) = 1.0894802090488228035931808917712 absolute error = 4.81236768958397894145040e-08 relative error = 4.4171228280995000707402145148526e-06 % h = 0.0001 y1[1] (analytic) = 1.9959886047544971743856426912261 y1[1] (numeric) = 1.9959886040358502660737891452118 absolute error = 7.186469083118535460143e-10 relative error = 3.6004559675341721570964148801725e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3021.3MB, alloc=4.6MB, time=165.66 NO POLE NO POLE x[1] = 0.0897 y2[1] (analytic) = 1.0895797593380545551172250893545 y2[1] (numeric) = 1.089579807730878860396173554548 absolute error = 4.83928243052789484651935e-08 relative error = 4.4414210057168033756980406650063e-06 % h = 0.0001 y1[1] (analytic) = 1.9959796517584765535324807328818 y1[1] (numeric) = 1.9959796510350038301679068000827 absolute error = 7.234727233645739327991e-10 relative error = 3.6246497940356644670264792580379e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3025.1MB, alloc=4.6MB, time=165.88 NO POLE NO POLE x[1] = 0.0898 y2[1] (analytic) = 1.0896793568551656098470111445045 y2[1] (numeric) = 1.0896794055183402157676082993555 absolute error = 4.86631746059205971548510e-08 relative error = 4.4658251346858035188026487231181e-06 % h = 0.0001 y1[1] (analytic) = 1.9959706888026594233943836677667 y1[1] (numeric) = 1.9959706880743339101251106883509 absolute error = 7.283255132692729794158e-10 relative error = 3.6489790023228248992078124065778e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3028.9MB, alloc=4.6MB, time=166.08 x[1] = 0.0899 y2[1] (analytic) = 1.0897789534754830967724690747284 y2[1] (numeric) = 1.0897790024102149220697044537876 absolute error = 4.89347318252972353790592e-08 relative error = 4.4903355555946811191390622759520e-06 % h = 0.0001 y1[1] (analytic) = 1.9959617158871354135294481059634 y1[1] (numeric) = 1.9959617151539300150130753378069 absolute error = 7.332053985163727681565e-10 relative error = 3.6734441982545167424061174126689e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.09 y2[1] (analytic) = 1.0898785491980110496912539826071 y2[1] (numeric) = 1.0898785984055110496126170150739 absolute error = 4.92074999999213630324668e-08 relative error = 4.5149526097316791925294087257024e-06 % h = 0.0001 y1[1] (analytic) = 1.9959527330119942530928393718251 y1[1] (numeric) = 1.9959527322738817530933418238559 absolute error = 7.381124999994975479692e-10 relative error = 3.6980459897246575628914368635933e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3032.7MB, alloc=4.6MB, time=166.29 NO POLE NO POLE x[1] = 0.0901 y2[1] (analytic) = 1.0899781440217535113789163033071 y2[1] (numeric) = 1.0899781935032366866743963120873 absolute error = 4.94814831752954800087802e-08 relative error = 4.5396766390857045418454451193237e-06 % h = 0.0001 y1[1] (analytic) = 1.9959437401773257708358942124252 y1[1] (numeric) = 1.9959437394342788318195219779669 absolute error = 7.430469390163722344583e-10 relative error = 3.7227849866667968442667708117357e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3036.5MB, alloc=4.6MB, time=166.50 NO POLE NO POLE x[1] = 0.0902 y2[1] (analytic) = 1.090077737945714533598861376816 y2[1] (numeric) = 1.0900777877023999395209475775731 absolute error = 4.97566854059220862007571e-08 relative error = 4.5645079863469288325254057417491e-06 % h = 0.0001 y1[1] (analytic) = 1.9959347373832198951052225100443 y1[1] (numeric) = 1.9959347366352110578355006001602 absolute error = 7.480088372697219098841e-10 relative error = 3.7476618010586989130343674820295e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3040.3MB, alloc=4.6MB, time=166.71 NO POLE NO POLE x[1] = 0.0903 y2[1] (analytic) = 1.0901773309688981771123089303003 y2[1] (numeric) = 1.0901773810020089324259904304991 absolute error = 5.00331107553136815001988e-08 relative error = 4.5894469949073893535288853317732e-06 % h = 0.0001 y1[1] (analytic) = 1.9959257246297666538418079987048 y1[1] (numeric) = 1.9959257238767683369736356755421 absolute error = 7.529983168681723231627e-10 relative error = 3.7726770469269311505491839230006e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3044.2MB, alloc=4.6MB, time=166.92 NO POLE NO POLE x[1] = 0.0904 y2[1] (analytic) = 1.0902769230903085116882524704852 y2[1] (numeric) = 1.0902769734010718076910182684279 absolute error = 5.03107632960027657979427e-08 relative error = 4.6144940088615894639637549668452e-06 % h = 0.0001 y1[1] (analytic) = 1.9959167019170561745801079847621 y1[1] (numeric) = 1.9959167011590406742529565948961 absolute error = 7.580155003271513898660e-10 relative error = 3.7978313403514574920012397309682e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3048.0MB, alloc=4.6MB, time=167.13 NO POLE NO POLE x[1] = 0.0905 y2[1] (analytic) = 1.090376514308949616113418585956 y2[1] (numeric) = 1.0903765648985967256652575698109 absolute error = 5.05896471095518389838549e-08 relative error = 4.6396493730070987256188128170082e-06 % h = 0.0001 y1[1] (analytic) = 1.9959076692451786844471520715607 y1[1] (numeric) = 1.9959076684821181738773603793389 absolute error = 7.630605105697916922218e-10 relative error = 3.8231252994702372130708331605881e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3051.8MB, alloc=4.6MB, time=167.34 NO POLE NO POLE x[1] = 0.0906 y2[1] (analytic) = 1.0904761046238255782022261592829 y2[1] (numeric) = 1.0904761554935918647656271061051 absolute error = 5.08697662865634009468222e-08 relative error = 4.6649134328451527216356690490266e-06 % h = 0.0001 y1[1] (analytic) = 1.9958986266142245101616398881646 y1[1] (numeric) = 1.9958986258460910392338059090512 absolute error = 7.681334709278339791134e-10 relative error = 3.8485595444838290048983260295993e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3055.6MB, alloc=4.6MB, time=167.55 x[1] = 0.0907 y2[1] (analytic) = 1.090575694033940494806745488868 y2[1] (numeric) = 1.0905757451850654214966970636134 absolute error = 5.11511249266899515747454e-08 relative error = 4.6902865345812525615534548137934e-06 % h = 0.0001 y1[1] (analytic) = 1.9958895740242840780330378221708 y1[1] (numeric) = 1.9958895732510495728905061560915 absolute error = 7.732345051425316660793e-10 relative error = 3.8741346976600003380169594297929e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0908 y2[1] (analytic) = 1.0906752825382984718266573204169 y2[1] (numeric) = 1.0906753339720256104706480749475 absolute error = 5.14337271386439907545306e-08 relative error = 4.7157690251257640729593206558098e-06 % h = 0.0001 y1[1] (analytic) = 1.995880511475447913960674756616 y1[1] (numeric) = 1.9958805106970841765951184213021 absolute error = 7.783637373655563353139e-10 relative error = 3.8998513833383421158994089148599e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3059.4MB, alloc=4.6MB, time=167.75 NO POLE NO POLE x[1] = 0.0909 y2[1] (analytic) = 1.0907748701359036242192117879332 y2[1] (numeric) = 1.0907749218534806644272301600154 absolute error = 5.17175770402080183720822e-08 relative error = 4.7413612520945166799781840549312e-06 % h = 0.0001 y1[1] (analytic) = 1.9958714389678066434328368109836 y1[1] (numeric) = 1.9958714381842853512729325753168 absolute error = 7.835212921599042356668e-10 relative error = 3.9257102279348886187529974199674e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3063.2MB, alloc=4.6MB, time=167.96 NO POLE NO POLE x[1] = 0.091 y2[1] (analytic) = 1.0908744568257600760091872641378 y2[1] (numeric) = 1.0908745088284388342537215764328 absolute error = 5.20026787582445343122950e-08 relative error = 4.7670635638094019688344605518734e-06 % h = 0.0001 y1[1] (analytic) = 1.9958623565014509915258610863215 y1[1] (numeric) = 1.995862355712743697025057303679 absolute error = 7.887072945008037826425e-10 relative error = 3.9517118599467427382202709149129e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3067.0MB, alloc=4.6MB, time=168.17 NO POLE NO POLE x[1] = 0.0911 y2[1] (analytic) = 1.0909740426068719602988491202127 y2[1] (numeric) = 1.0909740948959083890048875792589 absolute error = 5.22890364287060384590462e-08 relative error = 4.7928763092989719407186773413888e-06 % h = 0.0001 y1[1] (analytic) = 1.99585326407647178290322841448 y1[1] (numeric) = 1.9958532632825499131266043560791 absolute error = 7.939218697766240584009e-10 relative error = 3.9778569099567065036353713230731e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3070.9MB, alloc=4.6MB, time=168.38 NO POLE NO POLE x[1] = 0.0912 y2[1] (analytic) = 1.0910736274782434192779083947703 y2[1] (numeric) = 1.0910736800548976159229390899581 absolute error = 5.25766541966450306951878e-08 relative error = 4.8187998382990369521916933803730e-06 % h = 0.0001 y1[1] (analytic) = 1.9958441616929599418146551114772 y1[1] (numeric) = 1.9958441608937947980248707997205 absolute error = 7.991651437897843117567e-10 relative error = 4.0041460106379169004758612100958e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3074.7MB, alloc=4.6MB, time=168.58 NO POLE NO POLE x[1] = 0.0913 y2[1] (analytic) = 1.0911732114388786042334803719479 y2[1] (numeric) = 1.0911732643044148204574912744862 absolute error = 5.28655362162240109025383e-08 relative error = 4.8448345012532633433589562088723e-06 % h = 0.0001 y1[1] (analytic) = 1.9958350493510064920951837350029 y1[1] (numeric) = 1.9958350485465692493375192768233 absolute error = 8.044372427576644581796e-10 relative error = 4.0305797967584869816694379907414e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3078.5MB, alloc=4.6MB, time=168.79 NO POLE NO POLE x[1] = 0.0914 y2[1] (analytic) = 1.0912727944877816755600430685281 y2[1] (numeric) = 1.0912728476434683262855220304033 absolute error = 5.31556866507254789618752e-08 relative error = 4.8709806493137707540473169272853e-06 % h = 0.0001 y1[1] (analytic) = 1.9958259270507025571642728460689 y1[1] (numeric) = 1.9958259262409642638507562662747 absolute error = 8.097382933135165797942e-10 relative error = 4.0571589051861522724006884185994e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3082.3MB, alloc=4.6MB, time=169.01 NO POLE NO POLE x[1] = 0.0915 y2[1] (analytic) = 1.0913723766239568027693956299859 y2[1] (numeric) = 1.0913724300710664753313303829126 absolute error = 5.34471096725619347529267e-08 relative error = 4.8972386343417291282164936468459e-06 % h = 0.0001 y1[1] (analytic) = 1.9958167947921393600248857748153 y1[1] (numeric) = 1.9958167939770709375175083494356 absolute error = 8.150684225073774253797e-10 relative error = 4.0838839748929224690697906362293e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3086.1MB, alloc=4.6MB, time=169.22 x[1] = 0.0916 y2[1] (analytic) = 1.0914719578464081645006166353622 y2[1] (numeric) = 1.0914720115862176277864947897259 absolute error = 5.37398094632858781543637e-08 relative error = 4.9236088089079554068373743324215e-06 % h = 0.0001 y1[1] (analytic) = 1.9958076525754082232625783904811 y1[1] (numeric) = 1.9958076517549804654555964801113 absolute error = 8.204277578069819103698e-10 relative error = 4.1107556469597384330573184686086e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0917 y2[1] (analytic) = 1.091571538154139948530022310865 y2[1] (numeric) = 1.0915715921879301621298313546567 absolute error = 5.40337902135998090437917e-08 relative error = 4.9500915262935099094690656912837e-06 % h = 0.0001 y1[1] (analytic) = 1.9957985004006005690445858755501 y1[1] (numeric) = 1.9957984995747841419459082586972 absolute error = 8.258164270986776168529e-10 relative error = 4.1377745645811344799485438930214e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3089.9MB, alloc=4.6MB, time=169.43 NO POLE NO POLE x[1] = 0.0918 y2[1] (analytic) = 1.0916711175461563517811246520976 y2[1] (numeric) = 1.0916711718752124751473519498402 absolute error = 5.43290561233662272977426e-08 relative error = 4.9766871404902924047664847563020e-06 % h = 0.0001 y1[1] (analytic) = 1.9957893382678079191189085040787 y1[1] (numeric) = 1.9957893374365733604305682105073 absolute error = 8.312345586883402935714e-10 relative error = 4.1649413730699059648648643566291e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3093.7MB, alloc=4.6MB, time=169.63 NO POLE NO POLE x[1] = 0.0919 y2[1] (analytic) = 1.0917706960214615803345894548157 y2[1] (numeric) = 1.0917707506470729819522222464819 absolute error = 5.46256114016176327916662e-08 relative error = 5.0033960062016378701501249221812e-06 % h = 0.0001 y1[1] (analytic) = 1.9957801661771218948133964242173 y1[1] (numeric) = 1.9957801653404396135111060682949 absolute error = 8.366822813022903559224e-10 relative error = 4.1922567198617821645682629253365e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3097.6MB, alloc=4.6MB, time=169.84 NO POLE NO POLE x[1] = 0.092 y2[1] (analytic) = 1.0918702735790598494381942541119 y2[1] (numeric) = 1.0918703285025201160047196540344 absolute error = 5.49234602665665253999225e-08 relative error = 5.0302184788429119408696007995844e-06 % h = 0.0001 y1[1] (analytic) = 1.9957709841286342170348334449319 y1[1] (numeric) = 1.995770983286474492946623058975 absolute error = 8.421597240882103859569e-10 relative error = 4.2197212545201044569793992076953e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3101.4MB, alloc=4.6MB, time=170.05 NO POLE NO POLE x[1] = 0.0921 y2[1] (analytic) = 1.0919698502179553835167861719297 y2[1] (numeric) = 1.0919699054405623291321911677027 absolute error = 5.52226069456154049957730e-08 relative error = 5.0571549145421060486921642363926e-06 % h = 0.0001 y1[1] (analytic) = 1.9957617921224367062680198269374 y1[1] (numeric) = 1.9957617912747696896519561945574 absolute error = 8.476670166160636323800e-10 relative error = 4.2473356287405097987777305295345e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3105.2MB, alloc=4.6MB, time=170.27 NO POLE NO POLE x[1] = 0.0922 y2[1] (analytic) = 1.0920694259371524161822396728072 y2[1] (numeric) = 1.0920694814602080915490111241794 absolute error = 5.55230556753667714513722e-08 relative error = 5.0842056701404322504475124183592e-06 % h = 0.0001 y1[1] (analytic) = 1.9957525901586212825748540778503 y1[1] (numeric) = 1.9957525893054169936958405672996 absolute error = 8.532042888790135105507e-10 relative error = 4.2751004963556195017332666235853e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3109.0MB, alloc=4.6MB, time=170.48 NO POLE NO POLE x[1] = 0.0923 y2[1] (analytic) = 1.0921690007356551902434142277494 y2[1] (numeric) = 1.0921690565604658918765388655088 absolute error = 5.58248107016331246377594e-08 relative error = 5.1113711031929177466599620009378e-06 % h = 0.0001 y1[1] (analytic) = 1.9957433782372799655934137515706 y1[1] (numeric) = 1.9957433773785082942990696490886 absolute error = 8.587716712943441024820e-10 relative error = 4.3030165133397333084308281619236e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3112.8MB, alloc=4.6MB, time=170.69 x[1] = 0.0924 y2[1] (analytic) = 1.0922685746124679577161118861319 y2[1] (numeric) = 1.0922686307403442371630763109819 absolute error = 5.61278762794469644248500e-08 relative error = 5.1386515719689990904988347585014e-06 % h = 0.0001 y1[1] (analytic) = 1.9957341563585048745370352519014 y1[1] (numeric) = 1.9957341554941355798326535950611 absolute error = 8.643692947043816568403e-10 relative error = 4.3310843378135287680399064459137e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0925 y2[1] (analytic) = 1.0923681475665949798330347555343 y2[1] (numeric) = 1.0923682039988516529038254369613 absolute error = 5.64322566730707906814270e-08 relative error = 5.1660474354531160872778916470666e-06 % h = 0.0001 y1[1] (analytic) = 1.9957249245223882281933926404168 y1[1] (numeric) = 1.9957249236523909378159755514709 absolute error = 8.699972903774170889459e-10 relative error = 4.3593046300487659127979964980586e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3116.6MB, alloc=4.6MB, time=170.90 NO POLE NO POLE x[1] = 0.0926 y2[1] (analytic) = 1.0924677195970405270537423894047 y2[1] (numeric) = 1.0924677763349966830608456645373 absolute error = 5.67379561560071032751326e-08 relative error = 5.1935590533453053847344330428504e-06 % h = 0.0001 y1[1] (analytic) = 1.9957156827290223449235754485856 y1[1] (numeric) = 1.9957156818533665549149459678132 absolute error = 8.756557900086294807724e-10 relative error = 4.3876780524729972358559784233077e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3120.5MB, alloc=4.6MB, time=171.11 NO POLE NO POLE x[1] = 0.0927 y2[1] (analytic) = 1.0925672907028088790746090824561 y2[1] (numeric) = 1.0925673477477878900830111549154 absolute error = 5.70449790110084020724593e-08 relative error = 5.2211867860617937543184914050999e-06 % h = 0.0001 y1[1] (analytic) = 1.9957064309784996426611654941614 y1[1] (numeric) = 1.9957064300971547169401549132144 absolute error = 8.813449257210105809470e-10 relative error = 4.4162052696742829711559120028866e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3124.3MB, alloc=4.6MB, time=171.32 NO POLE NO POLE x[1] = 0.0928 y2[1] (analytic) = 1.0926668608829043248387810736944 y2[1] (numeric) = 1.0926669182362338549259680124354 absolute error = 5.73533295300871869387410e-08 relative error = 5.2489309947355910637224976674332e-06 % h = 0.0001 y1[1] (analytic) = 1.995697169270912638911312701847 y1[1] (numeric) = 1.9956971683838478088450223970972 absolute error = 8.870648300662903047498e-10 relative error = 4.4448869484059116759928132356365e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3128.1MB, alloc=4.6MB, time=171.53 NO POLE NO POLE x[1] = 0.0929 y2[1] (analytic) = 1.0927664301363311625461336569783 y2[1] (numeric) = 1.0927664877993431770720913951229 absolute error = 5.76630120145259577381446e-08 relative error = 5.2767920412170829408816570745455e-06 % h = 0.0001 y1[1] (analytic) = 1.9956878976063539507498099282448 y1[1] (numeric) = 1.9956878967135383147239466941303 absolute error = 8.928156360258632341145e-10 relative error = 4.4737237575911261169342731672548e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3131.9MB, alloc=4.6MB, time=171.74 NO POLE NO POLE x[1] = 0.093 y2[1] (analytic) = 1.0928659984620936996632281990127 y2[1] (numeric) = 1.0928660564361244745504425326736 absolute error = 5.79740307748872143336609e-08 relative error = 5.3047702880746231296749691407653e-06 % h = 0.0001 y1[1] (analytic) = 1.9956786159849162948221667910982 y1[1] (numeric) = 1.9956786150863188178104506734709 absolute error = 8.985974770117161176273e-10 relative error = 4.5027163683278544597444647873644e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3135.7MB, alloc=4.6MB, time=171.94 NO POLE NO POLE x[1] = 0.0931 y2[1] (analytic) = 1.0929655658591962529332690646743 y2[1] (numeric) = 1.0929656241455863839567256517702 absolute error = 5.82863901310234565870959e-08 relative error = 5.3328660985951255375568915721443e-06 % h = 0.0001 y1[1] (analytic) = 1.9956693244066924873426825028384 y1[1] (numeric) = 1.9956693235022820004753261323107 absolute error = 9.044104868673563705277e-10 relative error = 4.5318654538934467639944037674059e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3139.5MB, alloc=4.6MB, time=172.15 NO POLE NO POLE x[1] = 0.0932 y2[1] (analytic) = 1.0930651323266431483860604495715 y2[1] (numeric) = 1.0930651909267375604732448086332 absolute error = 5.86000944120871843590617e-08 relative error = 5.3610798367846559753493288468899e-06 % h = 0.0001 y1[1] (analytic) = 1.9956600228717754440935177084419 y1[1] (numeric) = 1.995660021961520644224776133734 absolute error = 9.102547998687415747079e-10 relative error = 4.5611716897494167830059992107305e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3143.3MB, alloc=4.6MB, time=172.35 x[1] = 0.0933 y2[1] (analytic) = 1.0931646978634387213479631197383 y2[1] (numeric) = 1.0931647567785866778888606287057 absolute error = 5.89151479565408975089674e-08 relative error = 5.3894118673690235894235908260445e-06 % h = 0.0001 y1[1] (analytic) = 1.9956507113802581804237653276093 y1[1] (numeric) = 1.9956507104641276296985553488966 absolute error = 9.161305507252099787127e-10 relative error = 4.5906357535461890698042325575800e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0934 y2[1] (analytic) = 1.0932642624685873164518510583621 y2[1] (numeric) = 1.0932643217001424286189469533723 absolute error = 5.92315551121670958950102e-08 relative error = 5.4178625557943719865018033975060e-06 % h = 0.0001 y1[1] (analytic) = 1.9956413899322338112485204012754 y1[1] (numeric) = 1.995641389010195936668108403536 absolute error = 9.220378745804119977394e-10 relative error = 4.6202583251278513897405229571252e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3147.2MB, alloc=4.6MB, time=172.56 NO POLE NO POLE x[1] = 0.0935 y2[1] (analytic) = 1.0933638261410932876470680194465 y2[1] (numeric) = 1.0933638856904135237253473936128 absolute error = 5.95493202360782793741663e-08 relative error = 5.4464322682277700513070533192574e-06 % h = 0.0001 y1[1] (analytic) = 1.9956320585277955510479489424593 y1[1] (numeric) = 1.9956320575998186440347062288214 absolute error = 9.279769070132427136379e-10 relative error = 4.6500400865369124404545911098551e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3151.0MB, alloc=4.6MB, time=172.77 NO POLE NO POLE x[1] = 0.0936 y2[1] (analytic) = 1.0934633888799609982093839883099 y2[1] (numeric) = 1.0934634487484086929363317904914 absolute error = 5.98684476947269478021815e-08 relative error = 5.4751213715578024572914320435733e-06 % h = 0.0001 y1[1] (analytic) = 1.9956227171670367138663557914631 y1[1] (numeric) = 1.9956227162330889298275804165527 absolute error = 9.339477840387753749104e-10 relative error = 4.6799817220190648798388710717033e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3154.8MB, alloc=4.6MB, time=172.98 NO POLE NO POLE x[1] = 0.0937 y2[1] (analytic) = 1.0935629506841948207509515488196 y2[1] (numeric) = 1.0935630108731366846665525823816 absolute error = 6.01889418639156010335620e-08 relative error = 5.5039302333951598706710534314023e-06 % h = 0.0001 y1[1] (analytic) = 1.9956133658500507133112514754296 y1[1] (numeric) = 1.9956133649101000712020555787186 absolute error = 9.399506421091958967110e-10 relative error = 4.7100839180279536626747756152800e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3158.6MB, alloc=4.6MB, time=173.19 NO POLE NO POLE x[1] = 0.0938 y2[1] (analytic) = 1.0936625115527991372302621572615 y2[1] (numeric) = 1.0936625720636062660370010788269 absolute error = 6.05108071288067389215654e-08 relative error = 5.5328592220732288479969298698262e-06 % h = 0.0001 y1[1] (analytic) = 1.9956040045769310625524180722684 y1[1] (numeric) = 1.9956040036309454444376797114223 absolute error = 9.459856181147383608461e-10 relative error = 4.7403473632299496866138738338677e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3162.4MB, alloc=4.6MB, time=173.40 NO POLE NO POLE x[1] = 0.0939 y2[1] (analytic) = 1.0937620714847783389621023227473 y2[1] (numeric) = 1.0937621323188262228949636409382 absolute error = 6.08340478839328613181909e-08 relative error = 5.5619087066486814274903553335181e-06 % h = 0.0001 y1[1] (analytic) = 1.9955946333477713743209740789586 y1[1] (numeric) = 1.9955946323957185249363525631846 absolute error = 9.520528493846215157740e-10 relative error = 4.7707727485089287481652587753322e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3166.2MB, alloc=4.6MB, time=173.60 NO POLE NO POLE x[1] = 0.094 y2[1] (analytic) = 1.0938616304791368266275096940581 y2[1] (numeric) = 1.0938616916378053598339777682282 absolute error = 6.11586685332064680741701e-08 relative error = 5.5910790569020644143715189600345e-06 % h = 0.0001 y1[1] (analytic) = 1.9955852521626653609084382842383 y1[1] (numeric) = 1.9955852512045128872204520076335 absolute error = 9.581524736879862766048e-10 relative error = 4.8013607669710558093646590849998e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3170.0MB, alloc=4.6MB, time=173.81 x[1] = 0.0941 y2[1] (analytic) = 1.0939611885348790102837290528258 y2[1] (numeric) = 1.0939612500195525002137880917834 absolute error = 6.14846734899300590389576e-08 relative error = 5.6203706433383883604097271681490e-06 % h = 0.0001 y1[1] (analytic) = 1.9955758610217068341657926456903 y1[1] (numeric) = 1.9955758600574222049309584205901 absolute error = 9.642846292348342251002e-10 relative error = 4.8321121139495745757940789446484e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0942 y2[1] (analytic) = 1.0940607456510093093741682129526 y2[1] (numeric) = 1.0940608074630764861803022736736 absolute error = 6.18120671768061340607210e-08 relative error = 5.6497838371877162379235047197789e-06 % h = 0.0001 y1[1] (analytic) = 1.9955664599249897055025441712331 y1[1] (numeric) = 1.9955664589545402508255770615596 absolute error = 9.704494546769671096735e-10 relative error = 4.8630274870096023866250051249661e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3173.9MB, alloc=4.6MB, time=174.02 NO POLE NO POLE x[1] = 0.0943 y2[1] (analytic) = 1.0941603018265321527383538261682 y2[1] (numeric) = 1.0941603639673861786855468125001 absolute error = 6.21408540259471929863319e-08 relative error = 5.6793190104057518084588837986123e-06 % h = 0.0001 y1[1] (analytic) = 1.9955570488726079858857858050265 y1[1] (numeric) = 1.9955570478959608967768584596371 absolute error = 9.766470891089273453894e-10 relative error = 4.8941075859529304173554591638799e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3177.7MB, alloc=4.6MB, time=174.22 NO POLE NO POLE x[1] = 0.0944 y2[1] (analytic) = 1.0942598570604519786218870936264 y2[1] (numeric) = 1.0942599195314904575076227549822 absolute error = 6.24710384788857356613558e-08 relative error = 5.7089765356744276863737079016222e-06 % h = 0.0001 y1[1] (analytic) = 1.9955476278646557858392563178018 y1[1] (numeric) = 1.9955476268817781137703168038377 absolute error = 9.828776720689395139641e-10 relative error = 4.9253531128228291959164296800533e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3181.5MB, alloc=4.6MB, time=174.43 NO POLE NO POLE x[1] = 0.0945 y2[1] (analytic) = 1.0943594113517732346863993834411 y2[1] (numeric) = 1.0943594741543982212706613134835 absolute error = 6.28026249865842619300424e-08 relative error = 5.7387567864024930975559624967715e-06 % h = 0.0001 y1[1] (analytic) = 1.9955381969012273154423992016245 y1[1] (numeric) = 1.99553819591208597190254633786 absolute error = 9.891413435398528637645e-10 relative error = 4.9567647719088594328154480541541e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3185.3MB, alloc=4.6MB, time=174.64 NO POLE NO POLE x[1] = 0.0946 y2[1] (analytic) = 1.094458964699500378019507754061 y2[1] (numeric) = 1.0944590278351183874647793893773 absolute error = 6.31356180094452716353163e-08 relative error = 5.7686601367261013335038634043652e-06 % h = 0.0001 y1[1] (analytic) = 1.9955287559824168843294205691014 y1[1] (numeric) = 1.9955287549869786403793357592925 absolute error = 9.954382439500848098089e-10 relative error = 4.9883432697516881660038580498531e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3189.1MB, alloc=4.6MB, time=174.85 NO POLE NO POLE x[1] = 0.0947 y2[1] (analytic) = 1.0945585171026378751447703833861 y2[1] (numeric) = 1.0945585805726598924660350021522 absolute error = 6.34700220173212646187661e-08 relative error = 5.7986869615093969009951073954291e-06 % h = 0.0001 y1[1] (analytic) = 1.9955193051083189016883460570389 y1[1] (numeric) = 1.9955193041065503875137806232725 absolute error = 1.0017685141745654337664e-09 relative error = 5.0200893151479102211290193588658e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3192.9MB, alloc=4.6MB, time=175.06 NO POLE NO POLE x[1] = 0.0948 y2[1] (analytic) = 1.0946580685601902020316419035227 y2[1] (numeric) = 1.0946581323660316915563826241585 absolute error = 6.38058414895247407206358e-08 relative error = 5.8288376363451023675730849725577e-06 % h = 0.0001 y1[1] (analytic) = 1.9955098442790278762600767345636 y1[1] (numeric) = 1.9955098432708955807243937506068 absolute error = 1.0081322955356829839568e-09 relative error = 5.0520036191548749878564837151560e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3196.7MB, alloc=4.6MB, time=175.27 NO POLE NO POLE x[1] = 0.0949 y2[1] (analytic) = 1.0947576190711618441054286410816 y2[1] (numeric) = 1.0947576832142427589436284208952 absolute error = 6.41430809148381997798136e-08 relative error = 5.8591125375551049030769076663581e-06 % h = 0.0001 y1[1] (analytic) = 1.9955003734946384163374440157142 y1[1] (numeric) = 1.9955003724801086865332136403635 absolute error = 1.0145297298042303753507e-09 relative error = 5.0840868950955185129374064296108e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3200.6MB, alloc=4.6MB, time=175.47 x[1] = 0.095 y2[1] (analytic) = 1.0948571686345572962572437629159 y2[1] (numeric) = 1.0948572331163020877813853967386 absolute error = 6.44817447915241416338227e-08 relative error = 5.8895120421910425174428267571416e-06 % h = 0.0001 y1[1] (analytic) = 1.9954908927552452297642635765136 y1[1] (numeric) = 1.9954908917342842705639108869448 absolute error = 1.0209609592003526895688e-09 relative error = 5.1163398585632009106936958739401e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0951 y2[1] (analytic) = 1.0949567172493810628539623272024 y2[1] (numeric) = 1.094956782071218690189028446013 absolute error = 6.48218376273350661188106e-08 relative error = 5.9200365280348899950037369279766e-06 % h = 0.0001 y1[1] (analytic) = 1.9954814020609431239343882765322 y1[1] (numeric) = 1.9954814010335169975398926016496 absolute error = 1.0274261263944956748826e-09 relative error = 5.1487632274265490916101872278422e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3204.4MB, alloc=4.6MB, time=175.68 NO POLE NO POLE x[1] = 0.0952 y2[1] (analytic) = 1.0950562649146376577481762397636 y2[1] (numeric) = 1.095056330078001597271649309303 absolute error = 6.51633639395234730695394e-08 relative error = 5.9506863735995445255138632620110e-06 % h = 0.0001 y1[1] (analytic) = 1.9954719014118270057907600849496 y1[1] (numeric) = 1.995471900377901631282404838736 absolute error = 1.0339253745083552462136e-09 relative error = 5.1813577218343048096983172060677e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3208.2MB, alloc=4.6MB, time=175.89 NO POLE NO POLE x[1] = 0.0953 y2[1] (analytic) = 1.0951558116293316042881491155343 y2[1] (numeric) = 1.0951558771356598591400114349096 absolute error = 6.55063282548518623193753e-08 relative error = 5.9814619581294110321251940494340e-06 % h = 0.0001 y1[1] (analytic) = 1.995462390807991881824461011126 y1[1] (numeric) = 1.9954623897675330347086330259928 absolute error = 1.0404588471158279851332e-09 relative error = 5.2141240642201780293220818648503e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3212.0MB, alloc=4.6MB, time=176.09 NO POLE NO POLE x[1] = 0.0954 y2[1] (analytic) = 1.0952553573924674353277710450703 y2[1] (numeric) = 1.0952554232432025449305047453486 absolute error = 6.58507351096027337002783e-08 relative error = 6.0123636616009871965423345934838e-06 % h = 0.0001 y1[1] (analytic) = 1.9954528702495328580737630396926 y1[1] (numeric) = 1.9954528692025061698298003998295 absolute error = 1.0470266882439626398631e-09 relative error = 5.2470629793077056121657807144107e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3215.8MB, alloc=4.6MB, time=176.30 NO POLE NO POLE x[1] = 0.0955 y2[1] (analytic) = 1.0953549022030496932365132660012 y2[1] (numeric) = 1.095354968399638742825100308793 absolute error = 6.61965890495885870427918e-08 relative error = 6.0433918647234481815821955112568e-06 % h = 0.0001 y1[1] (analytic) = 1.9954433397365451401231770701692 y1[1] (numeric) = 1.9954433386829160977492644448946 absolute error = 1.0536290423739126252746e-09 relative error = 5.2801751941151153250167824967884e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3219.6MB, alloc=4.6MB, time=176.51 NO POLE NO POLE x[1] = 0.0956 y2[1] (analytic) = 1.0954544460600829299093827393275 y2[1] (numeric) = 1.0954545126039775600713049153599 absolute error = 6.65438946301619221760324e-08 relative error = 6.0745469489392310513648409719690e-06 % h = 0.0001 y1[1] (analytic) = 1.9954337992691240331025008611202 y1[1] (numeric) = 1.9954337982088579786606113382315 absolute error = 1.0602660544418895228887e-09 relative error = 5.3134614379601951690548359854242e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3223.5MB, alloc=4.6MB, time=176.72 NO POLE NO POLE x[1] = 0.0957 y2[1] (analytic) = 1.0955539889625717067768766304622 y2[1] (numeric) = 1.0955540558552281230021155581413 absolute error = 6.68926564162252389276791e-08 relative error = 6.1058292964246188893615791440884e-06 % h = 0.0001 y1[1] (analytic) = 1.995424248847364941685865978857 y1[1] (numeric) = 1.9954242477804270718457483979813 absolute error = 1.0669378698401175808757e-09 relative error = 5.3469224424651680313241611974779e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3227.3MB, alloc=4.6MB, time=176.92 x[1] = 0.0958 y2[1] (analytic) = 1.0956535309095205948149366949175 y2[1] (numeric) = 1.0956535981523995770559738188803 absolute error = 6.72428789822410371239628e-08 relative error = 6.1372392900903246145263896881335e-06 % h = 0.0001 y1[1] (analytic) = 1.9954146884713633700907837506982 y1[1] (numeric) = 1.9954146873977187356729945366426 absolute error = 1.0736446344177892140556e-09 relative error = 5.3805589415615716590783344974118e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0959 y2[1] (analytic) = 1.095753071899934174554903568537 y2[1] (numeric) = 1.095753139494501086796720158193 absolute error = 6.75945669122418165896560e-08 relative error = 6.1687773135820744957365492637128e-06 % h = 0.0001 y1[1] (analytic) = 1.9954051181412149220771902227945 y1[1] (numeric) = 1.9954051170608284275951687188972 absolute error = 1.0803864944820215038973e-09 relative error = 5.4143716714951439576721918917237e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3231.1MB, alloc=4.6MB, time=177.12 NO POLE NO POLE x[1] = 0.096 y2[1] (analytic) = 1.0958526119328170360934709621744 y2[1] (numeric) = 1.0958526798805418359335481102358 absolute error = 6.79477247998400771480614e-08 relative error = 6.2004437512811913647680640742916e-06 % h = 0.0001 y1[1] (analytic) = 1.9953955378570153009464901225307 y1[1] (numeric) = 1.9953955367698517041476764240117 absolute error = 1.0871635967988136985190e-09 relative error = 5.4483613708307136126977738662401e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3234.9MB, alloc=4.6MB, time=177.33 NO POLE NO POLE x[1] = 0.0961 y2[1] (analytic) = 1.0959521510071737791026397607175 y2[1] (numeric) = 1.0959522193095310273409583817195 absolute error = 6.83023572482383186210020e-08 relative error = 6.2322389883051775280317320654305e-06 % h = 0.0001 y1[1] (analytic) = 1.9953859476188603095405998255121 y1[1] (numeric) = 1.9953859465248842209465941128244 absolute error = 1.0939760885940057126877e-09 relative error = 5.4825287804570960370395323242170e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3238.7MB, alloc=4.6MB, time=177.54 NO POLE NO POLE x[1] = 0.0962 y2[1] (analytic) = 1.0960516891220090128396720263608 y2[1] (numeric) = 1.0960517577804778830787128551703 absolute error = 6.86584688702390408288095e-08 relative error = 6.2641634105082973772949857977340e-06 % h = 0.0001 y1[1] (analytic) = 1.9953763474268458502409893271464 y1[1] (numeric) = 1.9953763463260217326867516993271 absolute error = 1.1008241175542376278193e-09 relative error = 5.5168746435919946435428103653227e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3242.5MB, alloc=4.6MB, time=177.76 NO POLE NO POLE x[1] = 0.0963 y2[1] (analytic) = 1.0961512262763273561570449060241 y2[1] (numeric) = 1.0961512952923916444117884963377 absolute error = 6.90160642882547435903136e-08 relative error = 6.2962174044821596996150542009624e-06 % h = 0.0001 y1[1] (analytic) = 1.9953667372810679249677232188296 y1[1] (numeric) = 1.9953667361733600931398130268514 absolute error = 1.1077078318279101919782e-09 relative error = 5.5513997057869074439773247287761e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3246.3MB, alloc=4.6MB, time=177.97 NO POLE NO POLE x[1] = 0.0964 y2[1] (analytic) = 1.0962507624691334375124044428191 y2[1] (numeric) = 1.0962508318442815718303311656508 absolute error = 6.93751481343179267228317e-08 relative error = 6.3284013575562996867085564091203e-06 % h = 0.0001 y1[1] (analytic) = 1.9953571171816226351785006687462 y1[1] (numeric) = 1.9953571160669952551523543488689 absolute error = 1.1146273800261463198773e-09 relative error = 5.5861047149320389749881528641363e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3250.2MB, alloc=4.6MB, time=178.18 NO POLE NO POLE x[1] = 0.0965 y2[1] (analytic) = 1.0963502976994318949785192914656 y2[1] (numeric) = 1.0963503674351569450696093336221 absolute error = 6.97357250500910900421565e-08 relative error = 6.3607156577987606439823165325812e-06 % h = 0.0001 y1[1] (analytic) = 1.9953474871286061818676944072931 y1[1] (numeric) = 1.9953474860070232706439408144153 absolute error = 1.1215829112237535928778e-09 relative error = 5.6209904212612175517199584672074e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3254.0MB, alloc=4.6MB, time=178.38 NO POLE NO POLE x[1] = 0.0966 y2[1] (analytic) = 1.0964498319662273762532343375544 y2[1] (numeric) = 1.0964499020640270631299677001008 absolute error = 7.00977996868767333625464e-08 relative error = 6.3931606940166753994507214396359e-06 % h = 0.0001 y1[1] (analytic) = 1.9953378471221148655653887171366 y1[1] (numeric) = 1.9953378459935402906052009581474 absolute error = 1.1285745749601877589892e-09 relative error = 5.6560575773568178498059501768819e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3257.8MB, alloc=4.6MB, time=178.59 x[1] = 0.0967 y2[1] (analytic) = 1.0965493652685245386694242205616 y2[1] (numeric) = 1.0965494357299012442967807172747 absolute error = 7.04613767056273564967131e-08 relative error = 6.4257368557568474127638439897798e-06 % h = 0.0001 y1[1] (analytic) = 1.9953281971622450863364164279124 y1[1] (numeric) = 1.9953281960266425650958991950435 absolute error = 1.1356025212405172328689e-09 relative error = 5.6913069381546888164088058949991e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0968 y2[1] (analytic) = 1.0966488976053280492049467605107 y2[1] (numeric) = 1.0966489684317888261604060163218 absolute error = 7.08264607769554592558111e-08 relative error = 6.4584445333063315845713520993266e-06 % h = 0.0001 y1[1] (analytic) = 1.9953185372490933437793949155778 y1[1] (numeric) = 1.9953185361064264432430063197558 absolute error = 1.1426669005363885958220e-09 relative error = 5.7267392609490869110075586521332e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3261.6MB, alloc=4.6MB, time=178.80 NO POLE NO POLE x[1] = 0.0969 y2[1] (analytic) = 1.0967484289756425844925962881863 y2[1] (numeric) = 1.0967485001686991656361377376122 absolute error = 7.11930565811435414494259e-08 relative error = 6.4912841176930147664463618383922e-06 % h = 0.0001 y1[1] (analytic) = 1.9953088673827562370257611064271 y1[1] (numeric) = 1.9953088662329883732387680106252 absolute error = 1.1497678637869930958019e-09 relative error = 5.7623553053976146766251896625816e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3265.4MB, alloc=4.6MB, time=179.01 NO POLE NO POLE x[1] = 0.097 y2[1] (analytic) = 1.0968479593784728308300568787975 y2[1] (numeric) = 1.0968480309396416389841597643606 absolute error = 7.15611688081541028855631e-08 relative error = 6.5242560006861959715937438292584e-06 % h = 0.0001 y1[1] (analytic) = 1.9952991875633304647388054857769 y1[1] (numeric) = 1.9952991864064249023387713383682 absolute error = 1.1569055624000341474087e-09 relative error = 5.7981558335261646421743816301094e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3269.2MB, alloc=4.6MB, time=179.22 NO POLE NO POLE x[1] = 0.0971 y2[1] (analytic) = 1.0969474888128234841898554889931 y2[1] (numeric) = 1.0969475607436256418294988596296 absolute error = 7.19308021576396433706365e-08 relative error = 6.5573605747971662865668769435143e-06 % h = 0.0001 y1[1] (analytic) = 1.995289497790912825112705111335 y1[1] (numeric) = 1.9952894966268326768600092794445 absolute error = 1.1640801482526958318905e-09 relative error = 5.8341416097338685566402302081680e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3273.0MB, alloc=4.6MB, time=179.43 NO POLE NO POLE x[1] = 0.0972 y2[1] (analytic) = 1.0970470172776992502293149971277 y2[1] (numeric) = 1.0970470895796605891819777065845 absolute error = 7.23019613389526627094568e-08 relative error = 6.5905982332797884842170211952182e-06 % h = 0.0001 y1[1] (analytic) = 1.995279798065600215871555631259 y1[1] (numeric) = 1.9952797968943084421789432341165 absolute error = 1.1712917736926123971425e-09 relative error = 5.8703134007980519557683417783994e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3276.9MB, alloc=4.6MB, time=179.64 NO POLE NO POLE x[1] = 0.0973 y2[1] (analytic) = 1.0971465447721048443005071466804 y2[1] (numeric) = 1.0971466174467559154561678519002 absolute error = 7.26746510711556607052198e-08 relative error = 6.6239693701310763380990943624605e-06 % h = 0.0001 y1[1] (analytic) = 1.9952700883874896342684023069161 y1[1] (numeric) = 1.9952700872089490427295635492093 absolute error = 1.1785405915388387577068e-09 relative error = 5.9066719758791940619675895628374e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3280.7MB, alloc=4.6MB, time=179.85 NO POLE NO POLE x[1] = 0.0974 y2[1] (analytic) = 1.0972460712950449914602053927257 y2[1] (numeric) = 1.0972461443439210744913425522208 absolute error = 7.30488760830311371594951e-08 relative error = 6.6574743800917736385576872628294e-06 % h = 0.0001 y1[1] (analytic) = 1.9952603687566781770842700403536 y1[1] (numeric) = 1.995260367570851422001448045581 absolute error = 1.1858267550828219947726e-09 relative error = 5.9432181065258930181215127699482e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3284.5MB, alloc=4.6MB, time=180.07 NO POLE NO POLE x[1] = 0.0975 y2[1] (analytic) = 1.0973455968455244264798376513575 y2[1] (numeric) = 1.0973456702701655395714295235714 absolute error = 7.34246411130915918722139e-08 relative error = 6.6911136586469329107167928626511e-06 % h = 0.0001 y1[1] (analytic) = 1.9952506391732630406271924064895 y1[1] (numeric) = 1.9952506379801126225378185503138 absolute error = 1.1931504180893738561757e-09 relative error = 5.9799525666798364559990841270653e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0976 y2[1] (analytic) = 1.0974451214225478938554389519666 y2[1] (numeric) = 1.097445195224498803444963593624 absolute error = 7.38019509095895246416574e-08 relative error = 6.7248876020264938345968478706671e-06 % h = 0.0001 y1[1] (analytic) = 1.9952408996373415207312396900327 y1[1] (numeric) = 1.9952408984368297859335954336341 absolute error = 1.2005117347976442563986e-09 relative error = 6.0168761326807773999683498964282e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3288.3MB, alloc=4.6MB, time=180.27 NO POLE NO POLE x[1] = 0.0977 y2[1] (analytic) = 1.0975446450251201478176039922718 y2[1] (numeric) = 1.0975447192059303783450392567168 absolute error = 7.41808102305274352644450e-08 relative error = 6.7587966072058613675823350349271e-06 % h = 0.0001 y1[1] (analytic) = 1.9952311501490110127555459271435 y1[1] (numeric) = 1.9952311489411001528334501505734 absolute error = 1.2079108599220957765701e-09 relative error = 6.0539895832715155067051684868504e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3292.1MB, alloc=4.6MB, time=180.48 NO POLE NO POLE x[1] = 0.0978 y2[1] (analytic) = 1.0976441676522459523414395960061 y2[1] (numeric) = 1.0976442422134697960092631315281 absolute error = 7.45612238436678235355220e-08 relative error = 6.7928410719064835694630992904805e-06 % h = 0.0001 y1[1] (analytic) = 1.9952213907083690115833349518427 y1[1] (numeric) = 1.9952213894930210629298557873774 absolute error = 1.2153479486534791644653e-09 relative error = 6.0912936996028836416000480553860e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3295.9MB, alloc=4.6MB, time=180.70 NO POLE NO POLE x[1] = 0.0979 y2[1] (analytic) = 1.0977436893029300811565170731568 y2[1] (numeric) = 1.0977437642461266076997063213049 absolute error = 7.49431965265431892481481e-08 relative error = 6.8270213945964291302725361003598e-06 % h = 0.0001 y1[1] (analytic) = 1.9952116213155131116209454471805 y1[1] (numeric) = 1.9952116200926899549611356126751 absolute error = 1.2228231566598098345054e-09 relative error = 6.1287892652387397925593163229433e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3299.7MB, alloc=4.6MB, time=180.91 NO POLE NO POLE x[1] = 0.098 y2[1] (analytic) = 1.0978432099761773177568244826618 y2[1] (numeric) = 1.0978432853029103842228566765466 absolute error = 7.53267330664660321938848e-08 relative error = 6.8613379744909646011453782850699e-06 % h = 0.0001 y1[1] (analytic) = 1.9952018419705410067968550011736 y1[1] (numeric) = 1.9952018407402043667095096334162 absolute error = 1.2303366400873453677574e-09 relative error = 6.1664770661609643219011148853984e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3303.6MB, alloc=4.6MB, time=181.12 NO POLE NO POLE x[1] = 0.0981 y2[1] (analytic) = 1.0979427296709924554107187974617 y2[1] (numeric) = 1.0979428053828307159495709600449 absolute error = 7.57118382605388521625832e-08 relative error = 6.8957912115531313284179770482831e-06 % h = 0.0001 y1[1] (analytic) = 1.9951920526735504905607031675216 y1[1] (numeric) = 1.9951920514356619349991391555873 absolute error = 1.2378885555615640119343e-09 relative error = 6.2043578907744625570499672095814e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3307.4MB, alloc=4.6MB, time=181.33 NO POLE NO POLE x[1] = 0.0982 y2[1] (analytic) = 1.0980422483863802971708779718072 y2[1] (numeric) = 1.0980423244848972128350269141794 absolute error = 7.60985169156641489423722e-08 relative error = 6.9303815064943220911936959149782e-06 % h = 0.0001 y1[1] (analytic) = 1.995182253424639455882313531111 y1[1] (numeric) = 1.9951822521791603956941693497167 absolute error = 1.2454790601881441813943e-09 relative error = 6.2424325299121727207238952369616e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3311.2MB, alloc=4.6MB, time=181.53 NO POLE NO POLE x[1] = 0.0983 y2[1] (analytic) = 1.0981417661213456558842529107248 y2[1] (numeric) = 1.0981418426081195044386752303704 absolute error = 7.64867738485544223196456e-08 relative error = 6.9651092607748574425957595157529e-06 % h = 0.0001 y1[1] (analytic) = 1.9951724442239058952507147783182 y1[1] (numeric) = 1.995172442970797583696769821177 absolute error = 1.2531083115539449571412e-09 relative error = 6.2807017768400792013273550608905e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3315.0MB, alloc=4.6MB, time=181.75 x[1] = 0.0984 y2[1] (analytic) = 1.0982412828748933542020193415385 y2[1] (numeric) = 1.0982413597515072399441914205886 absolute error = 7.68766138857421720790501e-08 relative error = 6.9999748766045617549300778507536e-06 % h = 0.0001 y1[1] (analytic) = 1.9951626250714479006731607721198 y1[1] (numeric) = 1.9951626238106714329451731852957 absolute error = 1.2607764677279875868241e-09 relative error = 6.3191664272622311642434640548015e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0985 y2[1] (analytic) = 1.0983407986460282245895295873498 y2[1] (numeric) = 1.0983408759140700881794275908225 absolute error = 7.72680418635898980034727e-08 relative error = 7.0349787569433389689801078787245e-06 % h = 0.0001 y1[1] (analytic) = 1.9951527959673636636741496320208 y1[1] (numeric) = 1.9951527946988799764117116472839 absolute error = 1.2684836872624379847369e-09 relative error = 6.3578272793257665047317718956411e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3318.8MB, alloc=4.6MB, time=181.95 NO POLE NO POLE x[1] = 0.0986 y2[1] (analytic) = 1.0984403134337551093362642423763 y2[1] (numeric) = 1.0984403910948177376363641164042 absolute error = 7.76610626283000998740279e-08 relative error = 7.0701213055017480476558474521277e-06 % h = 0.0001 y1[1] (analytic) = 1.9951429569117514752944418188107 y1[1] (numeric) = 1.9951429556355213461008515869921 absolute error = 1.2762301291935902318186e-09 relative error = 6.3966851336259411431410855049395e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3322.6MB, alloc=4.6MB, time=182.16 NO POLE NO POLE x[1] = 0.0987 y2[1] (analytic) = 1.0985398272370788605657837490479 y2[1] (numeric) = 1.0985399052927598964910612190934 absolute error = 7.80556810359252774700455e-08 relative error = 7.1054029267415781342189532059184e-06 % h = 0.0001 y1[1] (analytic) = 1.9951331079047097260900772241565 y1[1] (numeric) = 1.9951331066206937730472261485037 absolute error = 1.2840159530428510756528e-09 relative error = 6.4357407932111636631345779157286e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3326.5MB, alloc=4.6MB, time=182.37 NO POLE NO POLE x[1] = 0.0988 y2[1] (analytic) = 1.0986393400550043402456798767637 y2[1] (numeric) = 1.0986394185069062926236104458209 absolute error = 7.84519019523779305690572e-08 relative error = 7.1408240258764234153055975965798e-06 % h = 0.0001 y1[1] (analytic) = 1.9951232489463369061313912650432 y1[1] (numeric) = 1.9951232476544955873136658345756 absolute error = 1.2918413188177254304676e-09 relative error = 6.4749950635880352936391965841327e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3330.3MB, alloc=4.6MB, time=182.58 NO POLE NO POLE x[1] = 0.0989 y2[1] (analytic) = 1.098738851886536420197527102207 y2[1] (numeric) = 1.0987389307362666736380860489917 absolute error = 7.88497302534405589467847e-08 relative error = 7.1763850088722576889689503625095e-06 % h = 0.0001 y1[1] (analytic) = 1.9951133800367316050020299830713 y1[1] (numeric) = 1.9951133787370252179892271059358 absolute error = 1.2997063870128028771355e-09 relative error = 6.5144487527263952352241190204734e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3334.1MB, alloc=4.6MB, time=182.80 NO POLE NO POLE x[1] = 0.099 y2[1] (analytic) = 1.0988383627306799821068338911219 y2[1] (numeric) = 1.0988384419798508068824962682478 absolute error = 7.92491708247756623771259e-08 relative error = 7.2120862824480086379624748592614e-06 % h = 0.0001 y1[1] (analytic) = 1.9951035011759925117979641486209 y1[1] (numeric) = 1.995103499868381193187218985448 absolute error = 1.3076113186107451631729e-09 relative error = 6.5541026710643713316137553551529e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3337.9MB, alloc=4.6MB, time=183.01 NO POLE NO POLE x[1] = 0.0991 y2[1] (analytic) = 1.0989378725864399175329938814496 y2[1] (numeric) = 1.0989379522366684794687345135923 absolute error = 7.96502285619357406321427e-08 relative error = 7.2479282540761318084857184155196e-06 % h = 0.0001 y1[1] (analytic) = 1.9950936123642184151265023698933 y1[1] (numeric) = 1.9950936110486621400432276671529 absolute error = 1.3155562750832747027404e-09 relative error = 6.5939576315134360870495689752169e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3341.7MB, alloc=4.6MB, time=183.22 NO POLE NO POLE x[1] = 0.0992 y2[1] (analytic) = 1.0990373814528211279192369677262 y2[1] (numeric) = 1.0990374615057294982925304497737 absolute error = 8.00529083703732934820475e-08 relative error = 7.2839113319831842946135539830794e-06 % h = 0.0001 y1[1] (analytic) = 1.9950837136015082031053032068383 y1[1] (numeric) = 1.9950837122779667847131391301959 absolute error = 1.3235414183921640766424e-09 relative error = 6.6340144494634680302022053724545e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0993 memory used=3345.5MB, alloc=4.6MB, time=183.42 y2[1] (analytic) = 1.0991368893288285246025802866422 y2[1] (numeric) = 1.0991369697860436900534009818323 absolute error = 8.04572151654508206951901e-08 relative error = 7.3200359251503981286301098382495e-06 % h = 0.0001 y1[1] (analytic) = 1.9950738048879608633613862899788 y1[1] (numeric) = 1.995073803556393952371159757652 absolute error = 1.3315669109902265323268e-09 relative error = 6.6742739427878184253476995814711e-08 % h = 0.0001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.0994 y2[1] (analytic) = 1.0992363962134670288237791036639 y2[1] (numeric) = 1.0992364770766209012746011417088 absolute error = 8.08631538724508220380449e-08 relative error = 7.3563024433142533774883211094428e-06 % h = 0.0001 y1[1] (analytic) = 1.995063886223675483030142444141 y1[1] (numeric) = 1.9950638848840425672078349602561 absolute error = 1.3396329158223074838849e-09 relative error = 6.7147369318483833315187763328916e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3349.3MB, alloc=4.6MB, time=183.65 NO POLE NO POLE x[1] = 0.0995 y2[1] (analytic) = 1.0993359021057415717372776006177 y2[1] (numeric) = 1.0993359833764709983230748758149 absolute error = 8.12707294265857972751972e-08 relative error = 7.3927112969670509456157978279930e-06 % h = 0.0001 y1[1] (analytic) = 1.9950539576087512487543428171016 y1[1] (numeric) = 1.9950539562610116524280658050504 absolute error = 1.3477395963262770120512e-09 relative error = 6.7554042395006810103410044630788e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3353.2MB, alloc=4.6MB, time=183.86 NO POLE NO POLE x[1] = 0.0996 y2[1] (analytic) = 1.0994354070046570944211595641373 y2[1] (numeric) = 1.0994354886846038674294057334672 absolute error = 8.16799467730082461693299e-08 relative error = 7.4292628973574850842877927403755e-06 % h = 0.0001 y1[1] (analytic) = 1.9950440190432874466831470131611 y1[1] (numeric) = 1.9950440176874003302491236489576 absolute error = 1.3558871164340233642035e-09 relative error = 6.7962766910989346832678282183306e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3357.0MB, alloc=4.6MB, time=184.06 NO POLE NO POLE x[1] = 0.0997 y2[1] (analytic) = 1.0995349109092185478870989748745 y2[1] (numeric) = 1.0995349930000294147077674560849 absolute error = 8.20908108668206684812104e-08 relative error = 7.4659576564912156077877767821794e-06 % h = 0.0001 y1[1] (analytic) = 1.9950340705273834624711102316525 y1[1] (numeric) = 1.9950340691633078218986627772905 absolute error = 1.3640756405724474543620e-09 relative error = 6.8373551145011606389207295830015e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3360.8MB, alloc=4.6MB, time=184.27 NO POLE NO POLE x[1] = 0.0998 y2[1] (analytic) = 1.0996344138184308930903104973745 y2[1] (numeric) = 1.099634496321757566175874467051 absolute error = 8.25033266730855639696765e-08 relative error = 7.5027959871314398165759004536054e-06 % h = 0.0001 y1[1] (analytic) = 1.9950241120611387812771894103969 y1[1] (numeric) = 1.9950241106888334476127310472072 absolute error = 1.3723053336644583631897e-09 relative error = 6.8786403400742616912595730725303e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3364.6MB, alloc=4.6MB, time=184.49 NO POLE NO POLE x[1] = 0.0999 y2[1] (analytic) = 1.0997339157312991009394998705148 y2[1] (numeric) = 1.0997339986487982677749322621384 absolute error = 8.29174991668354323916236e-08 relative error = 7.5397783027994641276857990359884e-06 % h = 0.0001 y1[1] (analytic) = 1.9950141436446529877637483741151 y1[1] (numeric) = 1.9950141422640766266337785361227 absolute error = 1.3805763611299698379924e-09 relative error = 6.9201332006991259892888876938762e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3368.4MB, alloc=4.6MB, time=184.71 NO POLE NO POLE x[1] = 0.1 y2[1] (analytic) = 1.0998334166468281523068141984106 y2[1] (numeric) = 1.0998334999801614853895877004007 absolute error = 8.33333333330827735019901e-08 relative error = 7.5769050177752754125695699121535e-06 % h = 0.0001 y1[1] (analytic) = 1.9950041652780257660955619878039 y1[1] (numeric) = 1.9950041638891368772086641950862 absolute error = 1.3888888888868977927177e-09 relative error = 6.9618345317757311790121071011031e-08 % h = 0.0001 Finished! Maximum Iterations Reached before Solution Completed! diff ( y2 , x , 5 ) = y1 ; diff ( y1 , x , 1 ) = m1 * y2 + 1.0; Iterations = 1000 Total Elapsed Time = 3 Minutes 4 Seconds Elapsed Time(since restart) = 3 Minutes 4 Seconds Expected Time Remaining = 2 Hours 30 Minutes 41 Seconds Optimized Time Remaining = 2 Hours 30 Minutes 40 Seconds Time to Timeout = 11 Minutes 55 Seconds Percent Done = 2.002 % > quit memory used=3369.2MB, alloc=4.6MB, time=184.75