(%i1) batch(diffeq.max)
read and interpret file: /home/dennis/mastersource/mine/omnisode/diffeq.max
(%i2) load(stringproc)
(%o2) /usr/local/share/maxima/5.26.0/share/contrib/stringproc/stringproc.mac
(%i3) display_alot(iter) := if iter >= 0
then (ind_var : array_x , omniout_float(ALWAYS,
1
"x[1] ", 33, ind_var, 20, " "),
analytic_val_y : exact_soln_y(ind_var),
omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y,
20, " "), term_no : 1, numeric_val : array_y ,
term_no
abserr : abs(numeric_val - analytic_val_y),
omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val,
abserr 100.0
20, " "), if abs(analytic_val_y) # 0.0 then relerr : -------------------
abs(analytic_val_y)
else relerr : - 1.0, if glob_iter = 1 then array_1st_rel_error : relerr
1
else array_last_rel_error : relerr, omniout_float(ALWAYS,
1
"absolute error ", 4, abserr, 20, " "),
omniout_float(ALWAYS, "relative error ", 4, relerr, 20,
"%"), omniout_float(ALWAYS, "h ", 4, glob_h,
20, " "))
(%o3) display_alot(iter) := if iter >= 0
then (ind_var : array_x , omniout_float(ALWAYS,
1
"x[1] ", 33, ind_var, 20, " "),
analytic_val_y : exact_soln_y(ind_var),
omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y,
20, " "), term_no : 1, numeric_val : array_y ,
term_no
abserr : abs(numeric_val - analytic_val_y),
omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val,
abserr 100.0
20, " "), if abs(analytic_val_y) # 0.0 then relerr : -------------------
abs(analytic_val_y)
else relerr : - 1.0, if glob_iter = 1 then array_1st_rel_error : relerr
1
else array_last_rel_error : relerr, omniout_float(ALWAYS,
1
"absolute error ", 4, abserr, 20, " "),
omniout_float(ALWAYS, "relative error ", 4, relerr, 20,
"%"), omniout_float(ALWAYS, "h ", 4, glob_h,
20, " "))
(%i4) adjust_for_pole(h_param) := block(hnew : h_param,
glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float
! 1, 1!
then (tmp : !array_y_higher !, if tmp < glob_normmax
! 1, 1!
then glob_normmax : tmp), if glob_look_poles
and (!array_pole ! > glob_small_float) and (array_pole # glob_large_float)
! 1! 1
array_pole
1
then (sz2 : -----------, if sz2 < hnew
10.0
then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity."), omniout_str(INFO, "Reached Optimal"), newline(),
return(hnew))), 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 ), hnew : sz2)
1
(%o4) adjust_for_pole(h_param) := block(hnew : h_param,
glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float
! 1, 1!
then (tmp : !array_y_higher !, if tmp < glob_normmax
! 1, 1!
then glob_normmax : tmp), if glob_look_poles
and (!array_pole ! > glob_small_float) and (array_pole # glob_large_float)
! 1! 1
array_pole
1
then (sz2 : -----------, if sz2 < hnew
10.0
then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity."), omniout_str(INFO, "Reached Optimal"), newline(),
return(hnew))), 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 ), hnew : sz2)
1
(%i5) prog_report(x_start, x_end) := (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(clock_sec1) + convfloat(glob_orig_start_sec)
+ convfloat(glob_max_sec), expect_sec :
comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(glob_h) + convfloat(array_x ),
1
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(glob_h) + convfloat(array_x ),
1
convfloat(opt_clock_sec)), percent_done :
comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done,
1
omniout_str_noeol(INFO, "Total Elapsed Time "),
omniout_timestr(convfloat(total_clock_sec)),
omniout_str_noeol(INFO, "Elapsed Time(since restart) "),
omniout_timestr(convfloat(glob_clock_sec)),
if convfloat(percent_done) < convfloat(100.0)
then (omniout_str_noeol(INFO, "Expected Time Remaining "),
omniout_timestr(convfloat(expect_sec)),
omniout_str_noeol(INFO, "Optimized Time Remaining "),
omniout_timestr(convfloat(glob_optimal_expect_sec))),
omniout_str_noeol(INFO, "Time to Timeout "),
omniout_timestr(convfloat(left_sec)), omniout_float(INFO,
"Percent Done ", 33, percent_done, 4, "%"))
(%o5) prog_report(x_start, x_end) := (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(clock_sec1) + convfloat(glob_orig_start_sec)
+ convfloat(glob_max_sec), expect_sec :
comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(glob_h) + convfloat(array_x ),
1
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(glob_h) + convfloat(array_x ),
1
convfloat(opt_clock_sec)), percent_done :
comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done,
1
omniout_str_noeol(INFO, "Total Elapsed Time "),
omniout_timestr(convfloat(total_clock_sec)),
omniout_str_noeol(INFO, "Elapsed Time(since restart) "),
omniout_timestr(convfloat(glob_clock_sec)),
if convfloat(percent_done) < convfloat(100.0)
then (omniout_str_noeol(INFO, "Expected Time Remaining "),
omniout_timestr(convfloat(expect_sec)),
omniout_str_noeol(INFO, "Optimized Time Remaining "),
omniout_timestr(convfloat(glob_optimal_expect_sec))),
omniout_str_noeol(INFO, "Time to Timeout "),
omniout_timestr(convfloat(left_sec)), omniout_float(INFO,
"Percent Done ", 33, percent_done, 4, "%"))
(%i6) check_for_pole() := (n : glob_max_terms, m : - 1 - 1 + n,
while (m >= 10) and ((!array_y_higher ! < glob_small_float)
! 1, m!
or (!array_y_higher ! < glob_small_float)
! 1, m - 1!
or (!array_y_higher ! < glob_small_float)) do m : m - 1,
! 1, m - 2!
array_y_higher array_y_higher
1, m 1, m - 1
if m > 10 then (rm0 : ----------------------, rm1 : ----------------------,
array_y_higher array_y_higher
1, m - 1 1, m - 2
hdrc : convfloat(m - 1) rm0 - convfloat(m - 2) rm1,
glob_h
if abs(hdrc) > glob_small_float then (rcs : ------,
hdrc
convfloat(m - 1) rm0
ord_no : 2.0 - convfloat(m) + --------------------, array_real_pole : rcs,
hdrc 1, 1
array_real_pole : ord_no) else (array_real_pole : glob_large_float,
1, 2 1, 1
array_real_pole : glob_large_float))
1, 2
else (array_real_pole : glob_large_float,
1, 1
array_real_pole : glob_large_float), n : - 1 - 1 + glob_max_terms,
1, 2
cnt : 0, while (cnt < 5) and (n >= 10) do (if !array_y_higher ! >
! 1, n!
glob_small_float then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n,
if m <= 10 then (array_complex_pole : glob_large_float,
1, 1
array_complex_pole : glob_large_float)
1, 2
elseif (!array_y_higher ! >= glob_large_float)
! 1, m!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 1!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 2!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 3!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 4!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 5!
then (array_complex_pole : glob_large_float,
1, 1
array_complex_pole : glob_large_float)
1, 2
array_y_higher array_y_higher
1, m 1, m - 1
else (rm0 : ----------------------, rm1 : ----------------------,
array_y_higher array_y_higher
1, m - 1 1, m - 2
array_y_higher array_y_higher
1, m - 2 1, m - 3
rm2 : ----------------------, rm3 : ----------------------,
array_y_higher array_y_higher
1, m - 3 1, m - 4
array_y_higher
1, m - 4
rm4 : ----------------------, nr1 : convfloat(m - 3) rm2
array_y_higher
1, m - 5
- 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0,
nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1,
- 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0
dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---,
rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1
5.0 8.0 3.0
ds2 : --- - --- + ---, if (abs(nr1 dr2 - nr2 dr1) <= glob_small_float)
rm4 rm3 rm2
or (abs(dr1) <= glob_small_float) then (array_complex_pole :
1, 1
glob_large_float, array_complex_pole : glob_large_float)
1, 2
else (if abs(nr1 dr2 - nr2 dr1) > glob_small_float
dr1 dr2 - ds2 dr1 + ds1 dr2
then (rcs : ---------------------------,
nr1 dr2 - nr2 dr1
rcs nr1 - ds1 convfloat(m)
ord_no : ------------- - ------------,
2.0 dr1 2.0
if abs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) glob_h
else rad_c : glob_large_float) else (rad_c : glob_large_float,
ord_no : glob_large_float)) else (rad_c : glob_large_float,
ord_no : glob_large_float)), array_complex_pole : rad_c,
1, 1
array_complex_pole : ord_no), found : false,
1, 2
if (not found) and ((array_real_pole = glob_large_float)
1, 1
or (array_real_pole = glob_large_float))
1, 2
and ((array_complex_pole # glob_large_float) and (array_complex_pole # glob_large_float))
1, 1 1, 2
and ((array_complex_pole > 0.0) and (array_complex_pole > 0.0))
1, 1 1, 2
then (array_poles : array_complex_pole ,
1, 1 1, 1
array_poles : array_complex_pole , found : true, array_type_pole : 2,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS,
"Complex estimate of poles used")), if (not found)
and ((array_real_pole # glob_large_float) and (array_real_pole # glob_large_float)
1, 1 1, 2
and (array_real_pole > 0.0) and (array_real_pole > 0.0)
1, 1 1, 2
and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float) or (array_complex_pole <= 0.0) or (array_complex_pole <= 0.0)))
1, 1 1, 2 1, 1 1, 2
then (array_poles : array_real_pole ,
1, 1 1, 1
array_poles : array_real_pole , found : true, array_type_pole : 1,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")),
if (not found) and (((array_real_pole = glob_large_float)
1, 1
or (array_real_pole = glob_large_float))
1, 2
and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float)))
1, 1 1, 2
then (array_poles : glob_large_float, array_poles : glob_large_float,
1, 1 1, 2
found : true, array_type_pole : 3, if glob_display_flag
1
then omniout_str(ALWAYS, "NO POLE")),
if (not found) and ((array_real_pole < array_complex_pole )
1, 1 1, 1
and (array_real_pole > 0.0) and (array_real_pole >
1, 1 1, 2
0.0))
then (array_poles : array_real_pole ,
1, 1 1, 1
array_poles : array_real_pole , found : true, array_type_pole : 1,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")),
if (not found) and ((array_complex_pole # glob_large_float)
1, 1
and (array_complex_pole # glob_large_float)
1, 2
and (array_complex_pole > 0.0) and (array_complex_pole >
1, 1 1, 2
0.0))
then (array_poles : array_complex_pole ,
1, 1 1, 1
array_poles : array_complex_pole , array_type_pole : 2, found : true,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS,
"Complex estimate of poles used")), if not found
then (array_poles : glob_large_float, array_poles : glob_large_float,
1, 1 1, 2
array_type_pole : 3, if glob_display_flag
1
then omniout_str(ALWAYS, "NO POLE")), array_pole : glob_large_float,
1
array_pole : glob_large_float, if array_pole > array_poles
2 1 1, 1
then (array_pole : array_poles , array_pole : array_poles ),
1 1, 1 2 1, 2
display_pole())
(%o6) check_for_pole() := (n : glob_max_terms, m : - 1 - 1 + n,
while (m >= 10) and ((!array_y_higher ! < glob_small_float)
! 1, m!
or (!array_y_higher ! < glob_small_float)
! 1, m - 1!
or (!array_y_higher ! < glob_small_float)) do m : m - 1,
! 1, m - 2!
array_y_higher array_y_higher
1, m 1, m - 1
if m > 10 then (rm0 : ----------------------, rm1 : ----------------------,
array_y_higher array_y_higher
1, m - 1 1, m - 2
hdrc : convfloat(m - 1) rm0 - convfloat(m - 2) rm1,
glob_h
if abs(hdrc) > glob_small_float then (rcs : ------,
hdrc
convfloat(m - 1) rm0
ord_no : 2.0 - convfloat(m) + --------------------, array_real_pole : rcs,
hdrc 1, 1
array_real_pole : ord_no) else (array_real_pole : glob_large_float,
1, 2 1, 1
array_real_pole : glob_large_float))
1, 2
else (array_real_pole : glob_large_float,
1, 1
array_real_pole : glob_large_float), n : - 1 - 1 + glob_max_terms,
1, 2
cnt : 0, while (cnt < 5) and (n >= 10) do (if !array_y_higher ! >
! 1, n!
glob_small_float then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n,
if m <= 10 then (array_complex_pole : glob_large_float,
1, 1
array_complex_pole : glob_large_float)
1, 2
elseif (!array_y_higher ! >= glob_large_float)
! 1, m!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 1!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 2!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 3!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 4!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 5!
then (array_complex_pole : glob_large_float,
1, 1
array_complex_pole : glob_large_float)
1, 2
array_y_higher array_y_higher
1, m 1, m - 1
else (rm0 : ----------------------, rm1 : ----------------------,
array_y_higher array_y_higher
1, m - 1 1, m - 2
array_y_higher array_y_higher
1, m - 2 1, m - 3
rm2 : ----------------------, rm3 : ----------------------,
array_y_higher array_y_higher
1, m - 3 1, m - 4
array_y_higher
1, m - 4
rm4 : ----------------------, nr1 : convfloat(m - 3) rm2
array_y_higher
1, m - 5
- 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0,
nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1,
- 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0
dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---,
rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1
5.0 8.0 3.0
ds2 : --- - --- + ---, if (abs(nr1 dr2 - nr2 dr1) <= glob_small_float)
rm4 rm3 rm2
or (abs(dr1) <= glob_small_float) then (array_complex_pole :
1, 1
glob_large_float, array_complex_pole : glob_large_float)
1, 2
else (if abs(nr1 dr2 - nr2 dr1) > glob_small_float
dr1 dr2 - ds2 dr1 + ds1 dr2
then (rcs : ---------------------------,
nr1 dr2 - nr2 dr1
rcs nr1 - ds1 convfloat(m)
ord_no : ------------- - ------------,
2.0 dr1 2.0
if abs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) glob_h
else rad_c : glob_large_float) else (rad_c : glob_large_float,
ord_no : glob_large_float)) else (rad_c : glob_large_float,
ord_no : glob_large_float)), array_complex_pole : rad_c,
1, 1
array_complex_pole : ord_no), found : false,
1, 2
if (not found) and ((array_real_pole = glob_large_float)
1, 1
or (array_real_pole = glob_large_float))
1, 2
and ((array_complex_pole # glob_large_float) and (array_complex_pole # glob_large_float))
1, 1 1, 2
and ((array_complex_pole > 0.0) and (array_complex_pole > 0.0))
1, 1 1, 2
then (array_poles : array_complex_pole ,
1, 1 1, 1
array_poles : array_complex_pole , found : true, array_type_pole : 2,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS,
"Complex estimate of poles used")), if (not found)
and ((array_real_pole # glob_large_float) and (array_real_pole # glob_large_float)
1, 1 1, 2
and (array_real_pole > 0.0) and (array_real_pole > 0.0)
1, 1 1, 2
and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float) or (array_complex_pole <= 0.0) or (array_complex_pole <= 0.0)))
1, 1 1, 2 1, 1 1, 2
then (array_poles : array_real_pole ,
1, 1 1, 1
array_poles : array_real_pole , found : true, array_type_pole : 1,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")),
if (not found) and (((array_real_pole = glob_large_float)
1, 1
or (array_real_pole = glob_large_float))
1, 2
and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float)))
1, 1 1, 2
then (array_poles : glob_large_float, array_poles : glob_large_float,
1, 1 1, 2
found : true, array_type_pole : 3, if glob_display_flag
1
then omniout_str(ALWAYS, "NO POLE")),
if (not found) and ((array_real_pole < array_complex_pole )
1, 1 1, 1
and (array_real_pole > 0.0) and (array_real_pole >
1, 1 1, 2
0.0))
then (array_poles : array_real_pole ,
1, 1 1, 1
array_poles : array_real_pole , found : true, array_type_pole : 1,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")),
if (not found) and ((array_complex_pole # glob_large_float)
1, 1
and (array_complex_pole # glob_large_float)
1, 2
and (array_complex_pole > 0.0) and (array_complex_pole >
1, 1 1, 2
0.0))
then (array_poles : array_complex_pole ,
1, 1 1, 1
array_poles : array_complex_pole , array_type_pole : 2, found : true,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS,
"Complex estimate of poles used")), if not found
then (array_poles : glob_large_float, array_poles : glob_large_float,
1, 1 1, 2
array_type_pole : 3, if glob_display_flag
1
then omniout_str(ALWAYS, "NO POLE")), array_pole : glob_large_float,
1
array_pole : glob_large_float, if array_pole > array_poles
2 1 1, 1
then (array_pole : array_poles , array_pole : array_poles ),
1 1, 1 2 1, 2
display_pole())
(%i7) get_norms() := if not glob_initial_pass
then (set_z(array_norms, 1 + glob_max_terms), iii : 1,
while iii <= glob_max_terms do (if !array_y ! > array_norms
! iii! iii
then array_norms : !array_y !, iii : 1 + iii))
iii ! iii!
(%o7) get_norms() := if not glob_initial_pass
then (set_z(array_norms, 1 + glob_max_terms), iii : 1,
while iii <= glob_max_terms do (if !array_y ! > array_norms
! iii! iii
then array_norms : !array_y !, iii : 1 + iii))
iii ! iii!
(%i8) atomall() := (array_tmp1 : sin(array_x ),
1 1
array_tmp1_g : cos(array_x ), array_tmp2_g : sin(array_x ),
1 1 1 1
array_tmp1
1
array_tmp2 : cos(array_x ), array_tmp3 : -----------,
1 1 1 array_tmp2
1
array_tmp4 : array_tmp3 + array_const_0D0 ,
1 1 1
if not array_y_set_initial then (if 1 <= glob_max_terms
1, 2
1
then (temporary : array_tmp4 glob_h factorial_3(0, 1),
1
array_y : temporary, array_y_higher : temporary,
2 1, 2
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 2,
glob_h 2, 1
array_tmp1 : att(1, array_tmp1_g, array_x, 1),
2
array_tmp1_g : - att(1, array_tmp1, array_x, 1),
2
array_tmp2_g : att(1, array_tmp2, array_x, 1),
2
array_tmp2 : - att(1, array_tmp2_g, array_x, 1),
2
array_tmp1 - ats(2, array_tmp2, array_tmp3, 2)
2
array_tmp3 : -----------------------------------------------,
2 array_tmp2
1
array_tmp4 : array_tmp3 + array_const_0D0 ,
2 2 2
if not array_y_set_initial then (if 2 <= glob_max_terms
1, 3
1
then (temporary : array_tmp4 glob_h factorial_3(1, 2),
2
array_y : temporary, array_y_higher : temporary,
3 1, 3
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 3,
glob_h 2, 2
array_tmp1 : att(2, array_tmp1_g, array_x, 1),
3
array_tmp1_g : - att(2, array_tmp1, array_x, 1),
3
array_tmp2_g : att(2, array_tmp2, array_x, 1),
3
array_tmp2 : - att(2, array_tmp2_g, array_x, 1),
3
array_tmp1 - ats(3, array_tmp2, array_tmp3, 2)
3
array_tmp3 : -----------------------------------------------,
3 array_tmp2
1
array_tmp4 : array_tmp3 + array_const_0D0 ,
3 3 3
if not array_y_set_initial then (if 3 <= glob_max_terms
1, 4
1
then (temporary : array_tmp4 glob_h factorial_3(2, 3),
3
array_y : temporary, array_y_higher : temporary,
4 1, 4
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 4,
glob_h 2, 3
array_tmp1 : att(3, array_tmp1_g, array_x, 1),
4
array_tmp1_g : - att(3, array_tmp1, array_x, 1),
4
array_tmp2_g : att(3, array_tmp2, array_x, 1),
4
array_tmp2 : - att(3, array_tmp2_g, array_x, 1),
4
array_tmp1 - ats(4, array_tmp2, array_tmp3, 2)
4
array_tmp3 : -----------------------------------------------,
4 array_tmp2
1
array_tmp4 : array_tmp3 + array_const_0D0 ,
4 4 4
if not array_y_set_initial then (if 4 <= glob_max_terms
1, 5
1
then (temporary : array_tmp4 glob_h factorial_3(3, 4),
4
array_y : temporary, array_y_higher : temporary,
5 1, 5
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 5,
glob_h 2, 4
array_tmp1 : att(4, array_tmp1_g, array_x, 1),
5
array_tmp1_g : - att(4, array_tmp1, array_x, 1),
5
array_tmp2_g : att(4, array_tmp2, array_x, 1),
5
array_tmp2 : - att(4, array_tmp2_g, array_x, 1),
5
array_tmp1 - ats(5, array_tmp2, array_tmp3, 2)
5
array_tmp3 : -----------------------------------------------,
5 array_tmp2
1
array_tmp4 : array_tmp3 + array_const_0D0 ,
5 5 5
if not array_y_set_initial then (if 5 <= glob_max_terms
1, 6
1
then (temporary : array_tmp4 glob_h factorial_3(4, 5),
5
array_y : temporary, array_y_higher : temporary,
6 1, 6
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 6,
glob_h 2, 5
while kkk <= glob_max_terms do (array_tmp1 :
kkk
att(kkk - 1, array_tmp1_g, array_x, 1),
array_tmp1_g : - att(kkk - 1, array_tmp1, array_x, 1),
kkk
array_tmp2_g : att(kkk - 1, array_tmp2, array_x, 1),
kkk
array_tmp2 : - att(kkk - 1, array_tmp2_g, array_x, 1),
kkk
array_tmp1 - ats(kkk, array_tmp2, array_tmp3, 2)
kkk
array_tmp3 : ---------------------------------------------------,
kkk array_tmp2
1
array_tmp4 : array_tmp3 + array_const_0D0 , order_d : 1,
kkk kkk kkk
if 1 + order_d + kkk <= glob_max_terms
then (if not array_y_set_initial
1, order_d + kkk
order_d
array_tmp4 glob_h
kkk
then (temporary : -----------------------------------------,
factorial_3(kkk - 1, - 1 + order_d + kkk)
array_y : temporary, array_y_higher : temporary,
order_d + kkk 1, order_d + kkk
term : - 1 + order_d + kkk, adj2 : 2, while (adj2 <= 1 + order_d)
temporary convfp(adj2)
and (term >= 1) do (temporary : ----------------------,
glob_h
array_y_higher : temporary, adj2 : 1 + adj2, term : term - 1))),
adj2, term
kkk : 1 + kkk))
(%o8) atomall() := (array_tmp1 : sin(array_x ),
1 1
array_tmp1_g : cos(array_x ), array_tmp2_g : sin(array_x ),
1 1 1 1
array_tmp1
1
array_tmp2 : cos(array_x ), array_tmp3 : -----------,
1 1 1 array_tmp2
1
array_tmp4 : array_tmp3 + array_const_0D0 ,
1 1 1
if not array_y_set_initial then (if 1 <= glob_max_terms
1, 2
1
then (temporary : array_tmp4 glob_h factorial_3(0, 1),
1
array_y : temporary, array_y_higher : temporary,
2 1, 2
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 2,
glob_h 2, 1
array_tmp1 : att(1, array_tmp1_g, array_x, 1),
2
array_tmp1_g : - att(1, array_tmp1, array_x, 1),
2
array_tmp2_g : att(1, array_tmp2, array_x, 1),
2
array_tmp2 : - att(1, array_tmp2_g, array_x, 1),
2
array_tmp1 - ats(2, array_tmp2, array_tmp3, 2)
2
array_tmp3 : -----------------------------------------------,
2 array_tmp2
1
array_tmp4 : array_tmp3 + array_const_0D0 ,
2 2 2
if not array_y_set_initial then (if 2 <= glob_max_terms
1, 3
1
then (temporary : array_tmp4 glob_h factorial_3(1, 2),
2
array_y : temporary, array_y_higher : temporary,
3 1, 3
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 3,
glob_h 2, 2
array_tmp1 : att(2, array_tmp1_g, array_x, 1),
3
array_tmp1_g : - att(2, array_tmp1, array_x, 1),
3
array_tmp2_g : att(2, array_tmp2, array_x, 1),
3
array_tmp2 : - att(2, array_tmp2_g, array_x, 1),
3
array_tmp1 - ats(3, array_tmp2, array_tmp3, 2)
3
array_tmp3 : -----------------------------------------------,
3 array_tmp2
1
array_tmp4 : array_tmp3 + array_const_0D0 ,
3 3 3
if not array_y_set_initial then (if 3 <= glob_max_terms
1, 4
1
then (temporary : array_tmp4 glob_h factorial_3(2, 3),
3
array_y : temporary, array_y_higher : temporary,
4 1, 4
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 4,
glob_h 2, 3
array_tmp1 : att(3, array_tmp1_g, array_x, 1),
4
array_tmp1_g : - att(3, array_tmp1, array_x, 1),
4
array_tmp2_g : att(3, array_tmp2, array_x, 1),
4
array_tmp2 : - att(3, array_tmp2_g, array_x, 1),
4
array_tmp1 - ats(4, array_tmp2, array_tmp3, 2)
4
array_tmp3 : -----------------------------------------------,
4 array_tmp2
1
array_tmp4 : array_tmp3 + array_const_0D0 ,
4 4 4
if not array_y_set_initial then (if 4 <= glob_max_terms
1, 5
1
then (temporary : array_tmp4 glob_h factorial_3(3, 4),
4
array_y : temporary, array_y_higher : temporary,
5 1, 5
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 5,
glob_h 2, 4
array_tmp1 : att(4, array_tmp1_g, array_x, 1),
5
array_tmp1_g : - att(4, array_tmp1, array_x, 1),
5
array_tmp2_g : att(4, array_tmp2, array_x, 1),
5
array_tmp2 : - att(4, array_tmp2_g, array_x, 1),
5
array_tmp1 - ats(5, array_tmp2, array_tmp3, 2)
5
array_tmp3 : -----------------------------------------------,
5 array_tmp2
1
array_tmp4 : array_tmp3 + array_const_0D0 ,
5 5 5
if not array_y_set_initial then (if 5 <= glob_max_terms
1, 6
1
then (temporary : array_tmp4 glob_h factorial_3(4, 5),
5
array_y : temporary, array_y_higher : temporary,
6 1, 6
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 6,
glob_h 2, 5
while kkk <= glob_max_terms do (array_tmp1 :
kkk
att(kkk - 1, array_tmp1_g, array_x, 1),
array_tmp1_g : - att(kkk - 1, array_tmp1, array_x, 1),
kkk
array_tmp2_g : att(kkk - 1, array_tmp2, array_x, 1),
kkk
array_tmp2 : - att(kkk - 1, array_tmp2_g, array_x, 1),
kkk
array_tmp1 - ats(kkk, array_tmp2, array_tmp3, 2)
kkk
array_tmp3 : ---------------------------------------------------,
kkk array_tmp2
1
array_tmp4 : array_tmp3 + array_const_0D0 , order_d : 1,
kkk kkk kkk
if 1 + order_d + kkk <= glob_max_terms
then (if not array_y_set_initial
1, order_d + kkk
order_d
array_tmp4 glob_h
kkk
then (temporary : -----------------------------------------,
factorial_3(kkk - 1, - 1 + order_d + kkk)
array_y : temporary, array_y_higher : temporary,
order_d + kkk 1, order_d + kkk
term : - 1 + order_d + kkk, adj2 : 2, while (adj2 <= 1 + order_d)
temporary convfp(adj2)
and (term >= 1) do (temporary : ----------------------,
glob_h
array_y_higher : temporary, adj2 : 1 + adj2, term : term - 1))),
adj2, term
kkk : 1 + kkk))
log(x)
(%i9) log10(x) := ---------
log(10.0)
log(x)
(%o9) log10(x) := ---------
log(10.0)
(%i10) omniout_str(iolevel, str) := if glob_iolevel >= iolevel
then printf(true, "~a~%", string(str))
(%o10) omniout_str(iolevel, str) := if glob_iolevel >= iolevel
then printf(true, "~a~%", string(str))
(%i11) omniout_str_noeol(iolevel, str) :=
if glob_iolevel >= iolevel then printf(true, "~a", string(str))
(%o11) omniout_str_noeol(iolevel, str) :=
if glob_iolevel >= iolevel then printf(true, "~a", string(str))
(%i12) omniout_labstr(iolevel, label, str) :=
if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label),
string(str))
(%o12) omniout_labstr(iolevel, label, str) :=
if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label),
string(str))
(%i13) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (if vallen = 4
then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)
else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel))
(%o13) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (if vallen = 4
then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)
else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel))
(%i14) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value,
postlabel), newline())
(%o14) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value,
postlabel), newline())
(%i15) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen,
postlabel) := if glob_iolevel >= iolevel
then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline())
(%o15) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen,
postlabel) := if glob_iolevel >= iolevel
then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline())
(%i16) dump_series(iolevel, dump_label, series_name, array_series, numb) :=
if glob_iolevel >= iolevel then (i : 1,
while i <= numb do (sprint(dump_label, series_name, "i = ", i, "series = ",
array_series ), newline(), i : 1 + i))
i
(%o16) dump_series(iolevel, dump_label, series_name, array_series, numb) :=
if glob_iolevel >= iolevel then (i : 1,
while i <= numb do (sprint(dump_label, series_name, "i = ", i, "series = ",
array_series ), newline(), i : 1 + i))
i
(%i17) dump_series_2(iolevel, dump_label, series_name, array_series2, numb,
subnum) := if glob_iolevel >= iolevel then (sub : 1,
while sub <= subnum do (i : 1, while i <=
num do (sprint(dump_label, series_name, "sub = ", sub, "i = ", i,
"series2 = ", array_series2 ), i : 1 + i), sub : 1 + sub))
sub, i
(%o17) dump_series_2(iolevel, dump_label, series_name, array_series2, numb,
subnum) := if glob_iolevel >= iolevel then (sub : 1,
while sub <= subnum do (i : 1, while i <=
num do (sprint(dump_label, series_name, "sub = ", sub, "i = ", i,
"series2 = ", array_series2 ), i : 1 + i), sub : 1 + sub))
sub, i
(%i18) cs_info(iolevel, str) := if glob_iolevel >= iolevel
then sprint(concat("cs_info ", str, " glob_correct_start_flag = ",
glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h))
(%o18) cs_info(iolevel, str) := if glob_iolevel >= iolevel
then sprint(concat("cs_info ", str, " glob_correct_start_flag = ",
glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h))
(%i19) logitem_time(fd, secs_in) := (secs : secs_in, printf(fd, "| "),
if secs >= 0.0 then (sec_in_millinium :
sec_in_min min_in_hour hours_in_day days_in_year years_in_century
secs
centuries_in_millinium, milliniums : ----------------,
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 printf(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)
elseif cent_int > 0 then printf(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) elseif years_int > 0
then printf(fd, "~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int) elseif days_int > 0
then printf(fd, "~d Days ~d Hours ~d Minutes ~d Seconds", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0
then printf(fd, "~d Hours ~d Minutes ~d Seconds", hours_int, minutes_int,
sec_int) elseif minutes_int > 0 then printf(fd, "~d Minutes ~d Seconds",
minutes_int, sec_int) else printf(fd, "~d Seconds", sec_int))
else printf(fd, "Unknown"), printf(fd, " | "))
(%o19) logitem_time(fd, secs_in) := (secs : secs_in, printf(fd, ""),
if secs >= 0.0 then (sec_in_millinium :
sec_in_min min_in_hour hours_in_day days_in_year years_in_century
secs
centuries_in_millinium, milliniums : ----------------,
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 printf(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)
elseif cent_int > 0 then printf(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) elseif years_int > 0
then printf(fd, "~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int) elseif days_int > 0
then printf(fd, "~d Days ~d Hours ~d Minutes ~d Seconds", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0
then printf(fd, "~d Hours ~d Minutes ~d Seconds", hours_int, minutes_int,
sec_int) elseif minutes_int > 0 then printf(fd, "~d Minutes ~d Seconds",
minutes_int, sec_int) else printf(fd, "~d Seconds", sec_int))
else printf(fd, "Unknown"), printf(fd, " | "))
(%i20) omniout_timestr(secs_in) := (secs : convfloat(secs_in),
if secs >= convfloat(0.0) then (sec_in_millinium :
convfloat(sec_in_min) convfloat(min_in_hour) convfloat(hours_in_day)
convfloat(days_in_year) convfloat(years_in_century)
secs
convfloat(centuries_in_millinium), milliniums : ---------------------------,
convfloat(sec_in_millinium)
millinium_int : floor(milliniums), centuries :
(milliniums - millinium_int) convfloat(centuries_in_millinium),
cent_int : floor(centuries), years : (centuries - cent_int)
convfloat(years_in_century), years_int : floor(years),
days : (years - years_int) convfloat(days_in_year), days_int : floor(days),
hours : (days - days_int) convfloat(hours_in_day), hours_int : floor(hours),
minutes : (hours - hours_int) convfloat(min_in_hour),
minutes_int : floor(minutes), seconds :
(minutes - minutes_int) convfloat(sec_in_min), sec_int : floor(seconds),
if millinium_int > 0 then printf(true,
"= ~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)
elseif cent_int > 0 then printf(true,
"= ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", cent_int,
years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0
then printf(true, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%",
years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0
then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0
then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int,
minutes_int, sec_int) elseif minutes_int > 0
then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int)
else printf(true, "= ~d Seconds~%", sec_int)) else printf(true, " Unknown~%"))
(%o20) omniout_timestr(secs_in) := (secs : convfloat(secs_in),
if secs >= convfloat(0.0) then (sec_in_millinium :
convfloat(sec_in_min) convfloat(min_in_hour) convfloat(hours_in_day)
convfloat(days_in_year) convfloat(years_in_century)
secs
convfloat(centuries_in_millinium), milliniums : ---------------------------,
convfloat(sec_in_millinium)
millinium_int : floor(milliniums), centuries :
(milliniums - millinium_int) convfloat(centuries_in_millinium),
cent_int : floor(centuries), years : (centuries - cent_int)
convfloat(years_in_century), years_int : floor(years),
days : (years - years_int) convfloat(days_in_year), days_int : floor(days),
hours : (days - days_int) convfloat(hours_in_day), hours_int : floor(hours),
minutes : (hours - hours_int) convfloat(min_in_hour),
minutes_int : floor(minutes), seconds :
(minutes - minutes_int) convfloat(sec_in_min), sec_int : floor(seconds),
if millinium_int > 0 then printf(true,
"= ~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)
elseif cent_int > 0 then printf(true,
"= ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", cent_int,
years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0
then printf(true, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%",
years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0
then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0
then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int,
minutes_int, sec_int) elseif minutes_int > 0
then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int)
else printf(true, "= ~d Seconds~%", sec_int)) else printf(true, " Unknown~%"))
(%i21) mode_declare(ats, bfloat)
modedeclare: bfloat
is not a built-in type; assuming it is a Maxima extension type.
(%o21) [ats]
(%i22) ats(mmm_ats, array_a, array_b, jjj_ats) :=
(ret_ats : 0.0, if jjj_ats <= mmm_ats then (ma_ats : 1 + mmm_ats,
iii_ats : jjj_ats, while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats,
ret_ats : array_a array_b + ret_ats, iii_ats : 1 + iii_ats)),
iii_ats lll_ats
ret_ats)
(%o22) ats(mmm_ats, array_a, array_b, jjj_ats) :=
(ret_ats : 0.0, if jjj_ats <= mmm_ats then (ma_ats : 1 + mmm_ats,
iii_ats : jjj_ats, while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats,
ret_ats : array_a array_b + ret_ats, iii_ats : 1 + iii_ats)),
iii_ats lll_ats
ret_ats)
(%i23) mode_declare(att, bfloat)
modedeclare: bfloat
is not a built-in type; assuming it is a Maxima extension type.
(%o23) [att]
(%i24) att(mmm_att, array_aa, array_bb, jjj_att) :=
(ret_att : 0.0, if jjj_att <= mmm_att then (ma_att : 2 + mmm_att,
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 : array_aa array_bb convfp(al_att) + ret_att,
iii_att lll_att
ret_att
iii_att : 1 + iii_att), ret_att : ---------------), ret_att)
convfp(mmm_att)
(%o24) att(mmm_att, array_aa, array_bb, jjj_att) :=
(ret_att : 0.0, if jjj_att <= mmm_att then (ma_att : 2 + mmm_att,
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 : array_aa array_bb convfp(al_att) + ret_att,
iii_att lll_att
ret_att
iii_att : 1 + iii_att), ret_att : ---------------), ret_att)
convfp(mmm_att)
(%i25) display_pole() := if (array_pole # glob_large_float)
1
and (array_pole > 0.0) and (array_pole # glob_large_float)
1 2
and (array_pole > 0.0) and glob_display_flag
2
then (omniout_float(ALWAYS, "Radius of convergence ", 4,
array_pole , 4, " "), omniout_float(ALWAYS,
1
"Order of pole ", 4, array_pole , 4, " "))
2
(%o25) display_pole() := if (array_pole # glob_large_float)
1
and (array_pole > 0.0) and (array_pole # glob_large_float)
1 2
and (array_pole > 0.0) and glob_display_flag
2
then (omniout_float(ALWAYS, "Radius of convergence ", 4,
array_pole , 4, " "), omniout_float(ALWAYS,
1
"Order of pole ", 4, array_pole , 4, " "))
2
(%i26) logditto(file) := (printf(file, ""), printf(file, "ditto"),
printf(file, " | "))
(%o26) logditto(file) := (printf(file, ""), printf(file, "ditto"),
printf(file, " | "))
(%i27) logitem_integer(file, n) := (printf(file, ""),
printf(file, "~d", n), printf(file, " | "))
(%o27) logitem_integer(file, n) := (printf(file, ""),
printf(file, "~d", n), printf(file, " | "))
(%i28) logitem_str(file, str) := (printf(file, ""), printf(file, str),
printf(file, " | "))
(%o28) logitem_str(file, str) := (printf(file, ""), printf(file, str),
printf(file, " | "))
(%i29) log_revs(file, revs) := printf(file, revs)
(%o29) log_revs(file, revs) := printf(file, revs)
(%i30) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x),
printf(file, " | "))
(%o30) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x),
printf(file, " | "))
(%i31) logitem_pole(file, pole) := (printf(file, ""),
if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real")
elseif pole = 2 then printf(file, "Complex") else printf(file, "No Pole"),
printf(file, " | "))
(%o31) logitem_pole(file, pole) := (printf(file, ""),
if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real")
elseif pole = 2 then printf(file, "Complex") else printf(file, "No Pole"),
printf(file, " | "))
(%i32) logstart(file) := printf(file, "")
(%o32) logstart(file) := printf(file, "
")
(%i33) logend(file) := printf(file, "
~%")
(%o33) logend(file) := printf(file, "~%")
(%i34) chk_data() := (errflag : false,
if (glob_max_terms < 15) or (glob_max_terms > 512)
then (omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"),
glob_max_terms : 30), if glob_max_iter < 2
then (omniout_str(ALWAYS, "Illegal max_iter"), errflag : true),
if errflag then quit())
(%o34) chk_data() := (errflag : false,
if (glob_max_terms < 15) or (glob_max_terms > 512)
then (omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"),
glob_max_terms : 30), if glob_max_iter < 2
then (omniout_str(ALWAYS, "Illegal max_iter"), errflag : true),
if errflag then quit())
(%i35) mode_declare(comp_expect_sec, bfloat)
modedeclare: bfloat
is not a built-in type; assuming it is a Maxima extension type.
(%o35) [comp_expect_sec]
(%i36) comp_expect_sec(t_end2, t_start2, t2, clock_sec) :=
(ms2 : clock_sec, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
if sub1 = 0.0 then sec_left : 0.0 else (if abs(sub2) > 0.0
sub1
then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left)
sub2
(%o36) comp_expect_sec(t_end2, t_start2, t2, clock_sec) :=
(ms2 : clock_sec, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
if sub1 = 0.0 then sec_left : 0.0 else (if abs(sub2) > 0.0
sub1
then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left)
sub2
(%i37) mode_declare(comp_percent, bfloat)
modedeclare: bfloat
is not a built-in type; assuming it is a Maxima extension type.
(%o37) [comp_percent]
(%i38) comp_percent(t_end2, t_start2, t2) :=
(sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
100.0 sub2
if abs(sub2) > glob_small_float then rrr : ---------- else rrr : 0.0, rrr)
sub1
(%o38) comp_percent(t_end2, t_start2, t2) :=
(sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
100.0 sub2
if abs(sub2) > glob_small_float then rrr : ---------- else rrr : 0.0, rrr)
sub1
(%i39) mode_declare(factorial_1, bfloat)
modedeclare: bfloat
is not a built-in type; assuming it is a Maxima extension type.
(%o39) [factorial_1]
(%i40) factorial_1(nnn) := nnn!
(%o40) factorial_1(nnn) := nnn!
(%i41) mode_declare(factorial_3, bfloat)
modedeclare: bfloat
is not a built-in type; assuming it is a Maxima extension type.
(%o41) [factorial_3]
mmm2!
(%i42) factorial_3(mmm2, nnn2) := -----
nnn2!
mmm2!
(%o42) factorial_3(mmm2, nnn2) := -----
nnn2!
(%i43) convfp(mmm) := mmm
(%o43) convfp(mmm) := mmm
(%i44) convfloat(mmm) := mmm
(%o44) convfloat(mmm) := mmm
(%i45) elapsed_time_seconds() := (t : elapsed_real_time(), t)
(%o45) elapsed_time_seconds() := (t : elapsed_real_time(), t)
(%i46) arcsin(x) := asin(x)
(%o46) arcsin(x) := asin(x)
(%i47) arccos(x) := acos(x)
(%o47) arccos(x) := acos(x)
(%i48) arctan(x) := atan(x)
(%o48) arctan(x) := atan(x)
(%i49) exact_soln_y(x) := 2.0 - log(abs(cos(x)))
(%o49) exact_soln_y(x) := 2.0 - log(abs(cos(x)))
(%i50) mainprog() := (define_variable(INFO, 2, fixnum),
define_variable(ALWAYS, 1, fixnum), define_variable(glob_max_terms, 30,
fixnum), define_variable(DEBUGL, 3, fixnum),
define_variable(glob_iolevel, 5, fixnum),
define_variable(DEBUGMASSIVE, 4, fixnum),
define_variable(glob_current_iter, 0, fixnum),
define_variable(glob_optimal_clock_start_sec, 0.0, float),
define_variable(glob_last_good_h, 0.1, float),
define_variable(glob_hmin, 1.0E-11, float),
define_variable(glob_disp_incr, 0.1, float),
define_variable(years_in_century, 100.0, float),
define_variable(min_in_hour, 60.0, float),
define_variable(glob_orig_start_sec, 0.0, float),
define_variable(glob_no_eqs, 0, fixnum),
define_variable(glob_max_iter, 1000, fixnum),
define_variable(glob_max_hours, 0.0, float),
define_variable(glob_almost_1, 0.999, float),
define_variable(centuries_in_millinium, 10.0, float),
define_variable(glob_display_flag, true, boolean),
define_variable(glob_dump, false, boolean),
define_variable(glob_max_minutes, 0.0, float),
define_variable(glob_log10relerr, 0.0, float),
define_variable(glob_warned2, false, boolean),
define_variable(glob_log10_relerr, 1.0E-11, float),
define_variable(glob_log10_abserr, 1.0E-11, float),
define_variable(glob_clock_start_sec, 0.0, float),
define_variable(glob_log10normmin, 0.1, float),
define_variable(glob_percent_done, 0.0, float),
define_variable(glob_look_poles, false, boolean),
define_variable(glob_hmax, 1.0, float),
define_variable(glob_initial_pass, true, boolean),
define_variable(glob_optimal_expect_sec, 0.1, float),
define_variable(glob_start, 0, fixnum),
define_variable(glob_optimal_done, false, boolean),
define_variable(glob_not_yet_start_msg, true, boolean),
define_variable(djd_debug, true, boolean),
define_variable(glob_max_opt_iter, 10, fixnum),
define_variable(glob_log10abserr, 0.0, float),
define_variable(MAX_UNCHANGED, 10, fixnum),
define_variable(glob_curr_iter_when_opt, 0, fixnum),
define_variable(glob_relerr, 1.0E-11, float),
define_variable(glob_hmin_init, 0.001, float),
define_variable(djd_debug2, true, boolean),
define_variable(glob_max_sec, 10000.0, float),
define_variable(glob_optimal_start, 0.0, float),
define_variable(glob_warned, false, boolean),
define_variable(glob_smallish_float, 1.0E-101, float),
define_variable(glob_clock_sec, 0.0, float),
define_variable(days_in_year, 365.0, float),
define_variable(sec_in_min, 60.0, float),
define_variable(glob_normmax, 0.0, float),
define_variable(glob_max_rel_trunc_err, 1.0E-11, float),
define_variable(glob_abserr, 1.0E-11, float),
define_variable(hours_in_day, 24.0, float),
define_variable(glob_subiter_method, 3, fixnum),
define_variable(glob_small_float, 1.0E-51, float),
define_variable(glob_max_trunc_err, 1.0E-11, float),
define_variable(glob_h, 0.1, float), define_variable(glob_reached_optimal_h,
false, boolean), define_variable(glob_not_yet_finished, true, boolean),
define_variable(glob_iter, 0, fixnum),
define_variable(glob_unchanged_h_cnt, 0, fixnum),
define_variable(glob_dump_analytic, false, boolean),
define_variable(glob_large_float, 9.0E+100, float),
define_variable(glob_html_log, true, boolean), ALWAYS : 1, INFO : 2,
DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO,
glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10,
glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1,
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/divpostode.ode#################"),
omniout_str(ALWAYS, "diff ( y , x , 1 ) = sin ( x ) / cos ( x ) ;"),
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 : 0.1,"), omniout_str(ALWAYS, "x_end : 1.0 ,"),
omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"),
omniout_str(ALWAYS, "glob_h : 0.00001 ,"),
omniout_str(ALWAYS, "glob_look_poles : true,"),
omniout_str(ALWAYS, "glob_max_iter : 100,"),
omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"),
omniout_str(ALWAYS, "glob_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_y (x) := ("),
omniout_str(ALWAYS, "2.0 - log(abs(cos(x))) "), omniout_str(ALWAYS, ");"),
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 : 1.0E+100, 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(array_last_rel_error, 1 + max_terms), array(array_norms, 1 + max_terms),
array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms),
array(array_tmp2, 1 + max_terms), array(array_tmp3, 1 + max_terms),
array(array_tmp4, 1 + max_terms), array(array_y_init, 1 + max_terms),
array(array_y, 1 + max_terms), array(array_x, 1 + max_terms),
array(array_tmp1_g, 1 + max_terms), array(array_m1, 1 + max_terms),
array(array_tmp2_g, 1 + max_terms), array(array_pole, 1 + max_terms),
array(array_type_pole, 1 + max_terms),
array(array_1st_rel_error, 1 + max_terms),
array(array_complex_pole, 1 + 1, 1 + 3),
array(array_y_set_initial, 1 + 2, 1 + max_terms),
array(array_y_higher_work2, 1 + 2, 1 + max_terms),
array(array_poles, 1 + 1, 1 + 3), array(array_y_higher, 1 + 2, 1 + max_terms),
array(array_y_higher_work, 1 + 2, 1 + max_terms),
array(array_real_pole, 1 + 1, 1 + 3), term : 1,
while term <= max_terms do (array_last_rel_error : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_norms : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp0 : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp1 : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp2 : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp3 : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp4 : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_y_init : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_y : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_x : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp1_g : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp2_g : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_pole : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_type_pole : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term),
term
ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_complex_pole : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_set_initial : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
max_terms do (array_y_higher_work2 : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_poles : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_higher : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_higher_work : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 1 do (term : 1, while term <=
3 do (array_real_pole : 0.0, term : 1 + term), ord : 1 + ord),
ord, term
array(array_tmp4, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp4 : 0.0, term : 1 + term),
term
array(array_tmp3, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp3 : 0.0, term : 1 + term),
term
array(array_tmp2, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term),
term
array(array_tmp1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term),
term
array(array_tmp0, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term),
term
array(array_x, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term),
term
array(array_y, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term),
term
array(array_tmp1_g, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp1_g : 0.0, term : 1 + term),
term
array(array_tmp2_g, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp2_g : 0.0, term : 1 + term),
term
array(array_const_0D0, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term),
term
array_const_0D0 : 0.0, array(array_const_1, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term),
term
array_const_1 : 1, array(array_m1, 1 + 1 + max_terms), term : 1,
1
while term <= max_terms do (array_m1 : 0.0, term : 1 + term),
term
array_m1 : - 1.0, x_start : 0.1, x_end : 1.0,
1
array_y_init : exact_soln_y(x_start), glob_h : 1.0E-5,
1 + 0
glob_look_poles : true, glob_max_iter : 100, glob_h : 1.0E-4,
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(3600.0) convfloat(glob_max_hours)
+ convfloat(60.0) convfloat(glob_max_minutes),
glob_log10_abserr glob_log10_relerr
glob_abserr : 10.0 , glob_relerr : 10.0 ,
chk_data(), array_y_set_initial : true, array_y_set_initial : false,
1, 1 1, 2
array_y_set_initial : false, array_y_set_initial : false,
1, 3 1, 4
array_y_set_initial : false, array_y_set_initial : false,
1, 5 1, 6
array_y_set_initial : false, array_y_set_initial : false,
1, 7 1, 8
array_y_set_initial : false, array_y_set_initial : false,
1, 9 1, 10
array_y_set_initial : false, array_y_set_initial : false,
1, 11 1, 12
array_y_set_initial : false, array_y_set_initial : false,
1, 13 1, 14
array_y_set_initial : false, array_y_set_initial : false,
1, 15 1, 16
array_y_set_initial : false, array_y_set_initial : false,
1, 17 1, 18
array_y_set_initial : false, array_y_set_initial : false,
1, 19 1, 20
array_y_set_initial : false, array_y_set_initial : false,
1, 21 1, 22
array_y_set_initial : false, array_y_set_initial : false,
1, 23 1, 24
array_y_set_initial : false, array_y_set_initial : false,
1, 25 1, 26
array_y_set_initial : false, array_y_set_initial : false,
1, 27 1, 28
array_y_set_initial : false, array_y_set_initial : false,
1, 29 1, 30
if glob_html_log then html_log_file : openw("html/entry.html"),
omniout_str(ALWAYS, "START of Soultion"), array_x : x_start,
1
array_x : glob_h, order_diff : 1, term_no : 1,
2
while term_no <= order_diff do (array_y :
term_no
term_no - 1
array_y_init glob_h
term_no
-------------------------------------, term_no : 1 + term_no),
factorial_1(term_no - 1)
rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1,
while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no,
term_no - 1
array_y_init glob_h
it
array_y_higher : --------------------------------,
r_order, term_no factorial_1(term_no - 1)
term_no : 1 + term_no), r_order : 1 + r_order), current_iter : 1,
glob_clock_start_sec : elapsed_time_seconds(), start_array_y(),
if !array_y_higher ! > glob_small_float
! 1, 1!
then (tmp : !array_y_higher !, log10norm : log10(tmp),
! 1, 1!
if log10norm < glob_log10normmin then glob_log10normmin : log10norm),
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 <= x_end) and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
1
convfloat(glob_max_sec)) do (omniout_str
(INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop"),
glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(),
glob_current_iter : 1 + glob_current_iter, atomall(),
if glob_look_poles then check_for_pole(), array_x : glob_h + array_x ,
1 1
array_x : glob_h, order_diff : 1, ord : 2, calc_term : 1,
2
iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work :
2, iii
array_y_higher
2, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 2, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, ord : 1, calc_term : 2, iii : glob_max_terms,
convfp(calc_term - 1)!
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 2, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, ord : 1, calc_term : 1, iii : glob_max_terms,
convfp(calc_term - 1)!
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, term_no : glob_max_terms,
convfp(calc_term - 1)!
while term_no >= 1 do (array_y : array_y_higher_work2 ,
term_no 1, term_no
ord : 1, while ord <= order_diff do (array_y_higher :
ord, term_no
array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1),
ord, term_no
display_alot(current_iter)), omniout_str(ALWAYS, "Finished!"),
if glob_iter >= glob_max_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!"),
if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >=
convfloat(glob_max_sec) then omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!"),
glob_clock_sec : elapsed_time_seconds(),
omniout_str(INFO, "diff ( y , x , 1 ) = sin ( x ) / cos ( x ) ;"),
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,
"2012-06-13T13:27:12-05:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "div"),
logitem_str(html_log_file, "diff ( y , x , 1 ) = sin ( x ) / cos ( x ) ;"),
logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end),
logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h),
1
logitem_str(html_log_file, "16"), 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) or (array_type_pole = 2)
1 1
then (logitem_float(html_log_file, array_pole ),
1
logitem_float(html_log_file, array_pole ), 0)
2
else (logitem_str(html_log_file, "NA"), logitem_str(html_log_file, "NA"), 0),
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),
log_revs(html_log_file, " 090 | "),
logitem_str(html_log_file, "div diffeq.max"),
logitem_str(html_log_file,
"div maxima results"),
logitem_str(html_log_file,
"Test of revised logic - mostly affecting systems of eqs"),
logend(html_log_file)), if glob_html_log then close(html_log_file))
(%o50) mainprog() := (define_variable(INFO, 2, fixnum),
define_variable(ALWAYS, 1, fixnum), define_variable(glob_max_terms, 30,
fixnum), define_variable(DEBUGL, 3, fixnum),
define_variable(glob_iolevel, 5, fixnum),
define_variable(DEBUGMASSIVE, 4, fixnum),
define_variable(glob_current_iter, 0, fixnum),
define_variable(glob_optimal_clock_start_sec, 0.0, float),
define_variable(glob_last_good_h, 0.1, float),
define_variable(glob_hmin, 1.0E-11, float),
define_variable(glob_disp_incr, 0.1, float),
define_variable(years_in_century, 100.0, float),
define_variable(min_in_hour, 60.0, float),
define_variable(glob_orig_start_sec, 0.0, float),
define_variable(glob_no_eqs, 0, fixnum),
define_variable(glob_max_iter, 1000, fixnum),
define_variable(glob_max_hours, 0.0, float),
define_variable(glob_almost_1, 0.999, float),
define_variable(centuries_in_millinium, 10.0, float),
define_variable(glob_display_flag, true, boolean),
define_variable(glob_dump, false, boolean),
define_variable(glob_max_minutes, 0.0, float),
define_variable(glob_log10relerr, 0.0, float),
define_variable(glob_warned2, false, boolean),
define_variable(glob_log10_relerr, 1.0E-11, float),
define_variable(glob_log10_abserr, 1.0E-11, float),
define_variable(glob_clock_start_sec, 0.0, float),
define_variable(glob_log10normmin, 0.1, float),
define_variable(glob_percent_done, 0.0, float),
define_variable(glob_look_poles, false, boolean),
define_variable(glob_hmax, 1.0, float),
define_variable(glob_initial_pass, true, boolean),
define_variable(glob_optimal_expect_sec, 0.1, float),
define_variable(glob_start, 0, fixnum),
define_variable(glob_optimal_done, false, boolean),
define_variable(glob_not_yet_start_msg, true, boolean),
define_variable(djd_debug, true, boolean),
define_variable(glob_max_opt_iter, 10, fixnum),
define_variable(glob_log10abserr, 0.0, float),
define_variable(MAX_UNCHANGED, 10, fixnum),
define_variable(glob_curr_iter_when_opt, 0, fixnum),
define_variable(glob_relerr, 1.0E-11, float),
define_variable(glob_hmin_init, 0.001, float),
define_variable(djd_debug2, true, boolean),
define_variable(glob_max_sec, 10000.0, float),
define_variable(glob_optimal_start, 0.0, float),
define_variable(glob_warned, false, boolean),
define_variable(glob_smallish_float, 1.0E-101, float),
define_variable(glob_clock_sec, 0.0, float),
define_variable(days_in_year, 365.0, float),
define_variable(sec_in_min, 60.0, float),
define_variable(glob_normmax, 0.0, float),
define_variable(glob_max_rel_trunc_err, 1.0E-11, float),
define_variable(glob_abserr, 1.0E-11, float),
define_variable(hours_in_day, 24.0, float),
define_variable(glob_subiter_method, 3, fixnum),
define_variable(glob_small_float, 1.0E-51, float),
define_variable(glob_max_trunc_err, 1.0E-11, float),
define_variable(glob_h, 0.1, float), define_variable(glob_reached_optimal_h,
false, boolean), define_variable(glob_not_yet_finished, true, boolean),
define_variable(glob_iter, 0, fixnum),
define_variable(glob_unchanged_h_cnt, 0, fixnum),
define_variable(glob_dump_analytic, false, boolean),
define_variable(glob_large_float, 9.0E+100, float),
define_variable(glob_html_log, true, boolean), ALWAYS : 1, INFO : 2,
DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO,
glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10,
glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1,
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/divpostode.ode#################"),
omniout_str(ALWAYS, "diff ( y , x , 1 ) = sin ( x ) / cos ( x ) ;"),
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 : 0.1,"), omniout_str(ALWAYS, "x_end : 1.0 ,"),
omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"),
omniout_str(ALWAYS, "glob_h : 0.00001 ,"),
omniout_str(ALWAYS, "glob_look_poles : true,"),
omniout_str(ALWAYS, "glob_max_iter : 100,"),
omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"),
omniout_str(ALWAYS, "glob_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_y (x) := ("),
omniout_str(ALWAYS, "2.0 - log(abs(cos(x))) "), omniout_str(ALWAYS, ");"),
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 : 1.0E+100, 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(array_last_rel_error, 1 + max_terms), array(array_norms, 1 + max_terms),
array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms),
array(array_tmp2, 1 + max_terms), array(array_tmp3, 1 + max_terms),
array(array_tmp4, 1 + max_terms), array(array_y_init, 1 + max_terms),
array(array_y, 1 + max_terms), array(array_x, 1 + max_terms),
array(array_tmp1_g, 1 + max_terms), array(array_m1, 1 + max_terms),
array(array_tmp2_g, 1 + max_terms), array(array_pole, 1 + max_terms),
array(array_type_pole, 1 + max_terms),
array(array_1st_rel_error, 1 + max_terms),
array(array_complex_pole, 1 + 1, 1 + 3),
array(array_y_set_initial, 1 + 2, 1 + max_terms),
array(array_y_higher_work2, 1 + 2, 1 + max_terms),
array(array_poles, 1 + 1, 1 + 3), array(array_y_higher, 1 + 2, 1 + max_terms),
array(array_y_higher_work, 1 + 2, 1 + max_terms),
array(array_real_pole, 1 + 1, 1 + 3), term : 1,
while term <= max_terms do (array_last_rel_error : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_norms : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp0 : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp1 : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp2 : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp3 : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp4 : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_y_init : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_y : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_x : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp1_g : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp2_g : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_pole : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_type_pole : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term),
term
ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_complex_pole : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_set_initial : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
max_terms do (array_y_higher_work2 : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_poles : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_higher : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_higher_work : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 1 do (term : 1, while term <=
3 do (array_real_pole : 0.0, term : 1 + term), ord : 1 + ord),
ord, term
array(array_tmp4, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp4 : 0.0, term : 1 + term),
term
array(array_tmp3, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp3 : 0.0, term : 1 + term),
term
array(array_tmp2, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term),
term
array(array_tmp1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term),
term
array(array_tmp0, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term),
term
array(array_x, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term),
term
array(array_y, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term),
term
array(array_tmp1_g, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp1_g : 0.0, term : 1 + term),
term
array(array_tmp2_g, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp2_g : 0.0, term : 1 + term),
term
array(array_const_0D0, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term),
term
array_const_0D0 : 0.0, array(array_const_1, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term),
term
array_const_1 : 1, array(array_m1, 1 + 1 + max_terms), term : 1,
1
while term <= max_terms do (array_m1 : 0.0, term : 1 + term),
term
array_m1 : - 1.0, x_start : 0.1, x_end : 1.0,
1
array_y_init : exact_soln_y(x_start), glob_h : 1.0E-5,
1 + 0
glob_look_poles : true, glob_max_iter : 100, glob_h : 1.0E-4,
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(3600.0) convfloat(glob_max_hours)
+ convfloat(60.0) convfloat(glob_max_minutes),
glob_log10_abserr glob_log10_relerr
glob_abserr : 10.0 , glob_relerr : 10.0 ,
chk_data(), array_y_set_initial : true, array_y_set_initial : false,
1, 1 1, 2
array_y_set_initial : false, array_y_set_initial : false,
1, 3 1, 4
array_y_set_initial : false, array_y_set_initial : false,
1, 5 1, 6
array_y_set_initial : false, array_y_set_initial : false,
1, 7 1, 8
array_y_set_initial : false, array_y_set_initial : false,
1, 9 1, 10
array_y_set_initial : false, array_y_set_initial : false,
1, 11 1, 12
array_y_set_initial : false, array_y_set_initial : false,
1, 13 1, 14
array_y_set_initial : false, array_y_set_initial : false,
1, 15 1, 16
array_y_set_initial : false, array_y_set_initial : false,
1, 17 1, 18
array_y_set_initial : false, array_y_set_initial : false,
1, 19 1, 20
array_y_set_initial : false, array_y_set_initial : false,
1, 21 1, 22
array_y_set_initial : false, array_y_set_initial : false,
1, 23 1, 24
array_y_set_initial : false, array_y_set_initial : false,
1, 25 1, 26
array_y_set_initial : false, array_y_set_initial : false,
1, 27 1, 28
array_y_set_initial : false, array_y_set_initial : false,
1, 29 1, 30
if glob_html_log then html_log_file : openw("html/entry.html"),
omniout_str(ALWAYS, "START of Soultion"), array_x : x_start,
1
array_x : glob_h, order_diff : 1, term_no : 1,
2
while term_no <= order_diff do (array_y :
term_no
term_no - 1
array_y_init glob_h
term_no
-------------------------------------, term_no : 1 + term_no),
factorial_1(term_no - 1)
rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1,
while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no,
term_no - 1
array_y_init glob_h
it
array_y_higher : --------------------------------,
r_order, term_no factorial_1(term_no - 1)
term_no : 1 + term_no), r_order : 1 + r_order), current_iter : 1,
glob_clock_start_sec : elapsed_time_seconds(), start_array_y(),
if !array_y_higher ! > glob_small_float
! 1, 1!
then (tmp : !array_y_higher !, log10norm : log10(tmp),
! 1, 1!
if log10norm < glob_log10normmin then glob_log10normmin : log10norm),
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 <= x_end) and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
1
convfloat(glob_max_sec)) do (omniout_str
(INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop"),
glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(),
glob_current_iter : 1 + glob_current_iter, atomall(),
if glob_look_poles then check_for_pole(), array_x : glob_h + array_x ,
1 1
array_x : glob_h, order_diff : 1, ord : 2, calc_term : 1,
2
iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work :
2, iii
array_y_higher
2, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 2, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, ord : 1, calc_term : 2, iii : glob_max_terms,
convfp(calc_term - 1)!
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 2, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, ord : 1, calc_term : 1, iii : glob_max_terms,
convfp(calc_term - 1)!
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, term_no : glob_max_terms,
convfp(calc_term - 1)!
while term_no >= 1 do (array_y : array_y_higher_work2 ,
term_no 1, term_no
ord : 1, while ord <= order_diff do (array_y_higher :
ord, term_no
array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1),
ord, term_no
display_alot(current_iter)), omniout_str(ALWAYS, "Finished!"),
if glob_iter >= glob_max_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!"),
if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >=
convfloat(glob_max_sec) then omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!"),
glob_clock_sec : elapsed_time_seconds(),
omniout_str(INFO, "diff ( y , x , 1 ) = sin ( x ) / cos ( x ) ;"),
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,
"2012-06-13T13:27:12-05:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "div"),
logitem_str(html_log_file, "diff ( y , x , 1 ) = sin ( x ) / cos ( x ) ;"),
logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end),
logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h),
1
logitem_str(html_log_file, "16"), 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) or (array_type_pole = 2)
1 1
then (logitem_float(html_log_file, array_pole ),
1
logitem_float(html_log_file, array_pole ), 0)
2
else (logitem_str(html_log_file, "NA"), logitem_str(html_log_file, "NA"), 0),
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),
log_revs(html_log_file, " 090 | "),
logitem_str(html_log_file, "div diffeq.max"),
logitem_str(html_log_file,
"div maxima results"),
logitem_str(html_log_file,
"Test of revised logic - mostly affecting systems of eqs"),
logend(html_log_file)), if glob_html_log then close(html_log_file))
(%i51) mainprog()
"##############ECHO OF PROBLEM#################"
"##############temp/divpostode.ode#################"
"diff ( y , x , 1 ) = sin ( x ) / cos ( x ) ;"
"!"
"/* BEGIN FIRST INPUT BLOCK */"
"Digits : 32,"
"max_terms : 30,"
"!"
"/* END FIRST INPUT BLOCK */"
"/* BEGIN SECOND INPUT BLOCK */"
"x_start : 0.1,"
"x_end : 1.0 ,"
"array_y_init[0 + 1] : exact_soln_y(x_start),"
"glob_h : 0.00001 ,"
"glob_look_poles : true,"
"glob_max_iter : 100,"
"/* 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_y (x) := ("
"2.0 - log(abs(cos(x))) "
");"
""
"/* END USER DEF BLOCK */"
"#######END OF ECHO OF PROBLEM#################"
"START of Soultion"
x[1] = 0.1 " "
y[1] (analytic) = 2.0050083556232354 " "
y[1] (numeric) = 2.0050083556232354 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10010000000000001 " "
y[1] (analytic) = 2.0050183941408126 " "
y[1] (numeric) = 2.005018394140813 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.214888457621173300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10020000000000001 " "
y[1] (analytic) = 2.0050284427592637 " "
y[1] (numeric) = 2.0050284427592637 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10030000000000001 " "
y[1] (analytic) = 2.005038501478791 " "
y[1] (numeric) = 2.005038501478791 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10040000000000002 " "
y[1] (analytic) = 2.0050485702995973 " "
y[1] (numeric) = 2.0050485702995973 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10050000000000002 " "
y[1] (analytic) = 2.005058649221887 " "
y[1] (numeric) = 2.005058649221887 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10060000000000002 " "
y[1] (analytic) = 2.005068738245863 " "
y[1] (numeric) = 2.005068738245863 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10070000000000003 " "
y[1] (analytic) = 2.0050788373717294 " "
y[1] (numeric) = 2.0050788373717294 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10080000000000003 " "
y[1] (analytic) = 2.0050889465996904 " "
y[1] (numeric) = 2.0050889465996904 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10090000000000003 " "
y[1] (analytic) = 2.0050990659299495 " "
y[1] (numeric) = 2.00509906592995 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.214799345308644300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10100000000000003 " "
y[1] (analytic) = 2.0051091953627123 " "
y[1] (numeric) = 2.0051091953627127 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.214788156560867600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10110000000000004 " "
y[1] (analytic) = 2.0051193348981826 " "
y[1] (numeric) = 2.005119334898183 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21477695676707900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10120000000000004 " "
y[1] (analytic) = 2.0051294845365657 " "
y[1] (numeric) = 2.005129484536566 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21476574592738800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10130000000000004 " "
y[1] (analytic) = 2.0051396442780667 " "
y[1] (numeric) = 2.005139644278067 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.214754524041906000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10140000000000005 " "
y[1] (analytic) = 2.0051498141228903 " "
y[1] (numeric) = 2.0051498141228907 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.214743291110743700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10150000000000005 " "
y[1] (analytic) = 2.0051599940712426 " "
y[1] (numeric) = 2.005159994071243 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.214732047134011800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10160000000000005 " "
y[1] (analytic) = 2.005170184123329 " "
y[1] (numeric) = 2.0051701841233296 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.214720792111821400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10170000000000005 " "
y[1] (analytic) = 2.005180384279356 " "
y[1] (numeric) = 2.0051803842793565 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21470952604428300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10180000000000006 " "
y[1] (analytic) = 2.005190594539529 " "
y[1] (numeric) = 2.0051905945395294 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21469824893150900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10190000000000006 " "
y[1] (analytic) = 2.0052008149040548 " "
y[1] (numeric) = 2.005200814904055 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.214686960773609400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10200000000000006 " "
y[1] (analytic) = 2.0052110453731395 " "
y[1] (numeric) = 2.00521104537314 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.214675661570696700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10210000000000007 " "
y[1] (analytic) = 2.0052212859469902 " "
y[1] (numeric) = 2.0052212859469907 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21466435132288200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10220000000000007 " "
y[1] (analytic) = 2.0052315366258138 " "
y[1] (numeric) = 2.005231536625814 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.214653030030276600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10230000000000007 " "
y[1] (analytic) = 2.0052417974098176 " "
y[1] (numeric) = 2.005241797409818 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.214641697692992500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10240000000000007 " "
y[1] (analytic) = 2.005252068299209 " "
y[1] (numeric) = 2.005252068299209 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10250000000000008 " "
y[1] (analytic) = 2.005262349294195 " "
y[1] (numeric) = 2.005262349294195 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10260000000000008 " "
y[1] (analytic) = 2.005272640394984 " "
y[1] (numeric) = 2.005272640394984 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10270000000000008 " "
y[1] (analytic) = 2.0052829416017834 " "
y[1] (numeric) = 2.0052829416017834 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10280000000000009 " "
y[1] (analytic) = 2.005293252914802 " "
y[1] (numeric) = 2.005293252914802 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10290000000000009 " "
y[1] (analytic) = 2.005303574334248 " "
y[1] (numeric) = 2.005303574334248 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10300000000000009 " "
y[1] (analytic) = 2.0053139058603304 " "
y[1] (numeric) = 2.0053139058603304 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1031000000000001 " "
y[1] (analytic) = 2.0053242474932578 " "
y[1] (numeric) = 2.0053242474932573 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.214550641399730400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1032000000000001 " "
y[1] (analytic) = 2.0053345992332385 " "
y[1] (numeric) = 2.0053345992332385 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1033000000000001 " "
y[1] (analytic) = 2.0053449610804828 " "
y[1] (numeric) = 2.0053449610804828 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1034000000000001 " "
y[1] (analytic) = 2.0053553330351996 " "
y[1] (numeric) = 2.0053553330351996 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1035000000000001 " "
y[1] (analytic) = 2.0053657150975988 " "
y[1] (numeric) = 2.0053657150975988 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10360000000000011 " "
y[1] (analytic) = 2.00537610726789 " "
y[1] (numeric) = 2.00537610726789 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10370000000000011 " "
y[1] (analytic) = 2.005386509546284 " "
y[1] (numeric) = 2.005386509546284 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10380000000000011 " "
y[1] (analytic) = 2.00539692193299 " "
y[1] (numeric) = 2.00539692193299 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10390000000000012 " "
y[1] (analytic) = 2.0054073444282197 " "
y[1] (numeric) = 2.0054073444282197 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10400000000000012 " "
y[1] (analytic) = 2.0054177770321826 " "
y[1] (numeric) = 2.005417777032183 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.214447358232109500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10410000000000012 " "
y[1] (analytic) = 2.005428219745091 " "
y[1] (numeric) = 2.005428219745091 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10420000000000013 " "
y[1] (analytic) = 2.0054386725671542 " "
y[1] (numeric) = 2.0054386725671547 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.214424284945027700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10430000000000013 " "
y[1] (analytic) = 2.0054491354985853 " "
y[1] (numeric) = 2.0054491354985857 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.214412731737797300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10440000000000013 " "
y[1] (analytic) = 2.0054596085395953 " "
y[1] (numeric) = 2.0054596085395953 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10450000000000013 " "
y[1] (analytic) = 2.0054700916903956 " "
y[1] (numeric) = 2.0054700916903956 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10460000000000014 " "
y[1] (analytic) = 2.005480584951198 " "
y[1] (numeric) = 2.005480584951198 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10470000000000014 " "
y[1] (analytic) = 2.0054910883222155 " "
y[1] (numeric) = 2.0054910883222155 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10480000000000014 " "
y[1] (analytic) = 2.00550160180366 " "
y[1] (numeric) = 2.00550160180366 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10490000000000015 " "
y[1] (analytic) = 2.005512125395744 " "
y[1] (numeric) = 2.005512125395744 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10500000000000015 " "
y[1] (analytic) = 2.0055226590986805 " "
y[1] (numeric) = 2.0055226590986805 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10510000000000015 " "
y[1] (analytic) = 2.005533202912682 " "
y[1] (numeric) = 2.0055332029126824 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.214319908566468300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10520000000000015 " "
y[1] (analytic) = 2.005543756837963 " "
y[1] (numeric) = 2.005543756837963 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10530000000000016 " "
y[1] (analytic) = 2.0055543208747353 " "
y[1] (numeric) = 2.0055543208747353 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10540000000000016 " "
y[1] (analytic) = 2.005564895023214 " "
y[1] (numeric) = 2.005564895023214 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10550000000000016 " "
y[1] (analytic) = 2.005575479283612 " "
y[1] (numeric) = 2.005575479283612 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10560000000000017 " "
y[1] (analytic) = 2.0055860736561435 " "
y[1] (numeric) = 2.0055860736561435 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10570000000000017 " "
y[1] (analytic) = 2.005596678141023 " "
y[1] (numeric) = 2.005596678141023 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10580000000000017 " "
y[1] (analytic) = 2.005607292738465 " "
y[1] (numeric) = 2.005607292738465 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10590000000000017 " "
y[1] (analytic) = 2.005617917448684 " "
y[1] (numeric) = 2.005617917448684 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10600000000000018 " "
y[1] (analytic) = 2.005628552271895 " "
y[1] (numeric) = 2.005628552271895 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10610000000000018 " "
y[1] (analytic) = 2.005639197208313 " "
y[1] (numeric) = 2.005639197208313 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10620000000000018 " "
y[1] (analytic) = 2.0056498522581534 " "
y[1] (numeric) = 2.0056498522581534 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10630000000000019 " "
y[1] (analytic) = 2.0056605174216315 " "
y[1] (numeric) = 2.0056605174216315 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10640000000000019 " "
y[1] (analytic) = 2.0056711926989634 " "
y[1] (numeric) = 2.0056711926989634 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10650000000000019 " "
y[1] (analytic) = 2.005681878090365 " "
y[1] (numeric) = 2.005681878090365 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1066000000000002 " "
y[1] (analytic) = 2.005692573596052 " "
y[1] (numeric) = 2.0056925735960522 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.214143960526537600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1067000000000002 " "
y[1] (analytic) = 2.0057032792162413 " "
y[1] (numeric) = 2.0057032792162413 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1068000000000002 " "
y[1] (analytic) = 2.005713994951149 " "
y[1] (numeric) = 2.005713994951149 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1069000000000002 " "
y[1] (analytic) = 2.0057247208009925 " "
y[1] (numeric) = 2.0057247208009925 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1070000000000002 " "
y[1] (analytic) = 2.0057354567659877 " "
y[1] (numeric) = 2.005735456765988 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21409662152607180000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10710000000000021 " "
y[1] (analytic) = 2.0057462028463533 " "
y[1] (numeric) = 2.0057462028463533 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10720000000000021 " "
y[1] (analytic) = 2.0057569590423054 " "
y[1] (numeric) = 2.0057569590423054 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10730000000000021 " "
y[1] (analytic) = 2.0057677253540622 " "
y[1] (numeric) = 2.0057677253540622 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10740000000000022 " "
y[1] (analytic) = 2.0057785017818412 " "
y[1] (numeric) = 2.0057785017818412 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10750000000000022 " "
y[1] (analytic) = 2.005789288325861 " "
y[1] (numeric) = 2.005789288325861 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10760000000000022 " "
y[1] (analytic) = 2.0058000849863395 " "
y[1] (numeric) = 2.0058000849863395 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10770000000000023 " "
y[1] (analytic) = 2.0058108917634954 " "
y[1] (numeric) = 2.005810891763495 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.214013353270917500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10780000000000023 " "
y[1] (analytic) = 2.0058217086575465 " "
y[1] (numeric) = 2.005821708657546 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.214001413651475700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10790000000000023 " "
y[1] (analytic) = 2.0058325356687123 " "
y[1] (numeric) = 2.005832535668712 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21398946299378100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10800000000000023 " "
y[1] (analytic) = 2.0058433727972123 " "
y[1] (numeric) = 2.005843372797212 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213977501297950700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10810000000000024 " "
y[1] (analytic) = 2.005854220043265 " "
y[1] (numeric) = 2.0058542200432647 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21396552856410400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10820000000000024 " "
y[1] (analytic) = 2.0058650774070905 " "
y[1] (numeric) = 2.00586507740709 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213953544792358300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10830000000000024 " "
y[1] (analytic) = 2.005875944888908 " "
y[1] (numeric) = 2.0058759448889076 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213941549982831600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10840000000000025 " "
y[1] (analytic) = 2.0058868224889377 " "
y[1] (numeric) = 2.0058868224889372 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213929544135642700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10850000000000025 " "
y[1] (analytic) = 2.0058977102073996 " "
y[1] (numeric) = 2.005897710207399 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213917527250908700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10860000000000025 " "
y[1] (analytic) = 2.0059086080445145 " "
y[1] (numeric) = 2.0059086080445137 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.42781099865749700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10870000000000025 " "
y[1] (analytic) = 2.0059195160005023 " "
y[1] (numeric) = 2.0059195160005014 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.427786920738562300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10880000000000026 " "
y[1] (analytic) = 2.005930434075584 " "
y[1] (numeric) = 2.0059304340755832 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.4277628207452500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10890000000000026 " "
y[1] (analytic) = 2.0059413622699807 " "
y[1] (numeric) = 2.0059413622699798 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.42773869867779800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10900000000000026 " "
y[1] (analytic) = 2.0059523005839135 " "
y[1] (numeric) = 2.0059523005839126 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.427714554536441600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10910000000000027 " "
y[1] (analytic) = 2.0059632490176034 " "
y[1] (numeric) = 2.005963249017603 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213845194160710700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10920000000000027 " "
y[1] (analytic) = 2.0059742075712728 " "
y[1] (numeric) = 2.0059742075712723 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213833100016486800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10930000000000027 " "
y[1] (analytic) = 2.005985176245143 " "
y[1] (numeric) = 2.0059851762451424 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213820994835668500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10940000000000027 " "
y[1] (analytic) = 2.0059961550394356 " "
y[1] (numeric) = 2.005996155039435 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213808878618375400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10950000000000028 " "
y[1] (analytic) = 2.0060071439543736 " "
y[1] (numeric) = 2.006007143954373 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21379675136472700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10960000000000028 " "
y[1] (analytic) = 2.0060181429901793 " "
y[1] (numeric) = 2.006018142990179 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213784613074841200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10970000000000028 " "
y[1] (analytic) = 2.006029152147075 " "
y[1] (numeric) = 2.0060291521470743 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.2137724637488398000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10980000000000029 " "
y[1] (analytic) = 2.006040171425284 " "
y[1] (numeric) = 2.006040171425283 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.427520606773681600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10990000000000029 " "
y[1] (analytic) = 2.0060512008250284 " "
y[1] (numeric) = 2.0060512008250275 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.427496263977930000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11000000000000029 " "
y[1] (analytic) = 2.0060622403465325 " "
y[1] (numeric) = 2.0060622403465316 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.42747189911066260000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1101000000000003 " "
y[1] (analytic) = 2.0060732899900193 " "
y[1] (numeric) = 2.0060732899900184 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.427447512172121000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1102000000000003 " "
y[1] (analytic) = 2.006084349755713 " "
y[1] (numeric) = 2.006084349755712 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.42742310316254400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1103000000000003 " "
y[1] (analytic) = 2.0060954196438363 " "
y[1] (numeric) = 2.006095419643836 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21369933604108700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1104000000000003 " "
y[1] (analytic) = 2.0061064996546145 " "
y[1] (numeric) = 2.006106499654614 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21368710946562500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1105000000000003 " "
y[1] (analytic) = 2.006117589788272 " "
y[1] (numeric) = 2.0061175897882713 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.427349743710011000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11060000000000031 " "
y[1] (analytic) = 2.0061286900450326 " "
y[1] (numeric) = 2.0061286900450317 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.42732524641870240000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11070000000000031 " "
y[1] (analytic) = 2.006139800425121 " "
y[1] (numeric) = 2.0061398004251205 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213650363528781300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11080000000000031 " "
y[1] (analytic) = 2.006150920928763 " "
y[1] (numeric) = 2.0061509209287625 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213638092813416700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11090000000000032 " "
y[1] (analytic) = 2.0061620515561827 " "
y[1] (numeric) = 2.006162051556182 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213625811063378300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11100000000000032 " "
y[1] (analytic) = 2.0061731923076063 " "
y[1] (numeric) = 2.006173192307606 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213613518278787200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11110000000000032 " "
y[1] (analytic) = 2.006184343183259 " "
y[1] (numeric) = 2.0061843431832584 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213601214459764200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11120000000000033 " "
y[1] (analytic) = 2.0061955041833666 " "
y[1] (numeric) = 2.006195504183366 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213588899606430400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11130000000000033 " "
y[1] (analytic) = 2.0062066753081553 " "
y[1] (numeric) = 2.006206675308155 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21357657371890700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11140000000000033 " "
y[1] (analytic) = 2.0062178565578512 " "
y[1] (numeric) = 2.006217856557851 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213564236797315500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11150000000000033 " "
y[1] (analytic) = 2.0062290479326803 " "
y[1] (numeric) = 2.0062290479326803 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11160000000000034 " "
y[1] (analytic) = 2.0062402494328704 " "
y[1] (numeric) = 2.00624024943287 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213539529852414000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11170000000000034 " "
y[1] (analytic) = 2.006251461058647 " "
y[1] (numeric) = 2.0062514610586466 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213527159829347700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11180000000000034 " "
y[1] (analytic) = 2.0062626828102377 " "
y[1] (numeric) = 2.0062626828102372 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213514778772699700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11190000000000035 " "
y[1] (analytic) = 2.00627391468787 " "
y[1] (numeric) = 2.0062739146878696 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213502386682591200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11200000000000035 " "
y[1] (analytic) = 2.006285156691771 " "
y[1] (numeric) = 2.0062851566917708 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213489983559145400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11210000000000035 " "
y[1] (analytic) = 2.006296408822169 " "
y[1] (numeric) = 2.0062964088221684 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213477569402483900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11220000000000036 " "
y[1] (analytic) = 2.006307671079291 " "
y[1] (numeric) = 2.0063076710792904 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213465144212728400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11230000000000036 " "
y[1] (analytic) = 2.0063189434633655 " "
y[1] (numeric) = 2.006318943463365 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21345270799000200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11240000000000036 " "
y[1] (analytic) = 2.006330225974621 " "
y[1] (numeric) = 2.0063302259746205 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213440260734426700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11250000000000036 " "
y[1] (analytic) = 2.0063415186132856 " "
y[1] (numeric) = 2.006341518613285 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21342780244612500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11260000000000037 " "
y[1] (analytic) = 2.0063528213795885 " "
y[1] (numeric) = 2.006352821379588 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213415333125220000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11270000000000037 " "
y[1] (analytic) = 2.0063641342737584 " "
y[1] (numeric) = 2.006364134273758 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213402852771833300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11280000000000037 " "
y[1] (analytic) = 2.0063754572960244 " "
y[1] (numeric) = 2.006375457296024 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213390361386088600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11290000000000038 " "
y[1] (analytic) = 2.006386790446616 " "
y[1] (numeric) = 2.0063867904466157 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213377858968108600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11300000000000038 " "
y[1] (analytic) = 2.006398133725763 " "
y[1] (numeric) = 2.0063981337257624 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213365345518016300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11310000000000038 " "
y[1] (analytic) = 2.006409487133695 " "
y[1] (numeric) = 2.006409487133694 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.42670564207186900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11320000000000038 " "
y[1] (analytic) = 2.0064208506706414 " "
y[1] (numeric) = 2.0064208506706405 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.42668057104397500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11330000000000039 " "
y[1] (analytic) = 2.006432224336833 " "
y[1] (numeric) = 2.0064322243368324 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213327738976297600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11340000000000039 " "
y[1] (analytic) = 2.0064436081325003 " "
y[1] (numeric) = 2.0064436081325 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213315181398988800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11350000000000039 " "
y[1] (analytic) = 2.0064550020578737 " "
y[1] (numeric) = 2.0064550020578733 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21330261279018400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1136000000000004 " "
y[1] (analytic) = 2.0064664061131845 " "
y[1] (numeric) = 2.0064664061131836 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.426580066300014300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1137000000000004 " "
y[1] (analytic) = 2.0064778202986626 " "
y[1] (numeric) = 2.006477820298662 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21327744247858300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1138000000000004 " "
y[1] (analytic) = 2.0064892446145404 " "
y[1] (numeric) = 2.00648924461454 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213264840776034000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1139000000000004 " "
y[1] (analytic) = 2.006500679061049 " "
y[1] (numeric) = 2.0065006790610487 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213252228042485200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1140000000000004 " "
y[1] (analytic) = 2.0065121236384202 " "
y[1] (numeric) = 2.00651212363842 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213239604278059700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11410000000000041 " "
y[1] (analytic) = 2.0065235783468856 " "
y[1] (numeric) = 2.006523578346885 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213226969482882000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11420000000000041 " "
y[1] (analytic) = 2.0065350431866773 " "
y[1] (numeric) = 2.006535043186677 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213214323657077300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11430000000000042 " "
y[1] (analytic) = 2.0065465181580278 " "
y[1] (numeric) = 2.0065465181580273 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21320166680076900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11440000000000042 " "
y[1] (analytic) = 2.0065580032611696 " "
y[1] (numeric) = 2.006558003261169 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213188998914081600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11450000000000042 " "
y[1] (analytic) = 2.0065694984963356 " "
y[1] (numeric) = 2.006569498496335 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213176319997139700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11460000000000042 " "
y[1] (analytic) = 2.0065810038637584 " "
y[1] (numeric) = 2.006581003863758 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213163630050068400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11470000000000043 " "
y[1] (analytic) = 2.006592519363671 " "
y[1] (numeric) = 2.0065925193636707 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213150929072992800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11480000000000043 " "
y[1] (analytic) = 2.0066040449963074 " "
y[1] (numeric) = 2.006604044996307 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213138217066037100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11490000000000043 " "
y[1] (analytic) = 2.006615580761901 " "
y[1] (numeric) = 2.0066155807619004 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213125494029326800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11500000000000044 " "
y[1] (analytic) = 2.006627126660685 " "
y[1] (numeric) = 2.0066271266606845 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213112759962986800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11510000000000044 " "
y[1] (analytic) = 2.006638682692894 " "
y[1] (numeric) = 2.0066386826928935 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213100014867142300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11520000000000044 " "
y[1] (analytic) = 2.006650248858762 " "
y[1] (numeric) = 2.0066502488587616 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213087258741918400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11530000000000044 " "
y[1] (analytic) = 2.0066618251585235 " "
y[1] (numeric) = 2.006661825158523 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21307449158744100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11540000000000045 " "
y[1] (analytic) = 2.006673411592413 " "
y[1] (numeric) = 2.0066734115924127 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213061713403835500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11550000000000045 " "
y[1] (analytic) = 2.0066850081606655 " "
y[1] (numeric) = 2.006685008160665 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213048924191227700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11560000000000045 " "
y[1] (analytic) = 2.0066966148635164 " "
y[1] (numeric) = 2.0066966148635155 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.426072247899485000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11570000000000046 " "
y[1] (analytic) = 2.0067082317011997 " "
y[1] (numeric) = 2.0067082317011993 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.213023312679507600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11580000000000046 " "
y[1] (analytic) = 2.0067198586739523 " "
y[1] (numeric) = 2.006719858673952 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21301049038064720000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11590000000000046 " "
y[1] (analytic) = 2.006731495782009 " "
y[1] (numeric) = 2.0067314957820086 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21299765705328800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11600000000000046 " "
y[1] (analytic) = 2.0067431430256057 " "
y[1] (numeric) = 2.0067431430256057 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11610000000000047 " "
y[1] (analytic) = 2.0067548004049796 " "
y[1] (numeric) = 2.006754800404979 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21297195731357800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11620000000000047 " "
y[1] (analytic) = 2.0067664679203654 " "
y[1] (numeric) = 2.0067664679203654 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11630000000000047 " "
y[1] (analytic) = 2.006778145572001 " "
y[1] (numeric) = 2.006778145572001 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11640000000000048 " "
y[1] (analytic) = 2.006789833360122 " "
y[1] (numeric) = 2.006789833360122 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11650000000000048 " "
y[1] (analytic) = 2.006801531284966 " "
y[1] (numeric) = 2.0068015312849665 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.212920425497731400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11660000000000048 " "
y[1] (analytic) = 2.0068132393467706 " "
y[1] (numeric) = 2.0068132393467706 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11670000000000048 " "
y[1] (analytic) = 2.0068249575457724 " "
y[1] (numeric) = 2.0068249575457724 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11680000000000049 " "
y[1] (analytic) = 2.006836685882209 " "
y[1] (numeric) = 2.006836685882209 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11690000000000049 " "
y[1] (analytic) = 2.0068484243563187 " "
y[1] (numeric) = 2.0068484243563187 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11700000000000049 " "
y[1] (analytic) = 2.006860172968339 " "
y[1] (numeric) = 2.0068601729683393 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.212855762607576200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1171000000000005 " "
y[1] (analytic) = 2.0068719317185084 " "
y[1] (numeric) = 2.006871931718509 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.212842796948102700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1172000000000005 " "
y[1] (analytic) = 2.006883700607065 " "
y[1] (numeric) = 2.006883700607066 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.42565964052355900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1173000000000005 " "
y[1] (analytic) = 2.006895479634248 " "
y[1] (numeric) = 2.006895479634249 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.425633665097465400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1174000000000005 " "
y[1] (analytic) = 2.006907268800296 " "
y[1] (numeric) = 2.0069072688002967 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.42560766761818160000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1175000000000005 " "
y[1] (analytic) = 2.006919068105448 " "
y[1] (numeric) = 2.0069190681054487 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.425581648085963000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11760000000000051 " "
y[1] (analytic) = 2.006930877549943 " "
y[1] (numeric) = 2.006930877549944 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.42555560650106500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11770000000000051 " "
y[1] (analytic) = 2.006942697134021 " "
y[1] (numeric) = 2.006942697134022 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.42552954286374300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11780000000000052 " "
y[1] (analytic) = 2.0069545268579216 " "
y[1] (numeric) = 2.0069545268579225 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.425503457174254600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11790000000000052 " "
y[1] (analytic) = 2.006966366721884 " "
y[1] (numeric) = 2.006966366721885 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.425477349432855300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11800000000000052 " "
y[1] (analytic) = 2.0069782167261496 " "
y[1] (numeric) = 2.0069782167261505 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.42545121963980100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11810000000000052 " "
y[1] (analytic) = 2.0069900768709577 " "
y[1] (numeric) = 2.0069900768709585 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.4254250677953500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11820000000000053 " "
y[1] (analytic) = 2.007001947156549 " "
y[1] (numeric) = 2.00700194715655 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.42539889389975800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11830000000000053 " "
y[1] (analytic) = 2.0070138275831644 " "
y[1] (numeric) = 2.0070138275831653 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.425372697953282600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11840000000000053 " "
y[1] (analytic) = 2.007025718151045 " "
y[1] (numeric) = 2.007025718151046 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.425346479956180400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11850000000000054 " "
y[1] (analytic) = 2.0070376188604317 " "
y[1] (numeric) = 2.0070376188604326 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.425320239908710500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11860000000000054 " "
y[1] (analytic) = 2.0070495297115665 " "
y[1] (numeric) = 2.007049529711567 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21264698890556420000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11870000000000054 " "
y[1] (analytic) = 2.00706145070469 " "
y[1] (numeric) = 2.0070614507046907 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21263384683184700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11880000000000054 " "
y[1] (analytic) = 2.0070733818400446 " "
y[1] (numeric) = 2.0070733818400455 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.42524138746666600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11890000000000055 " "
y[1] (analytic) = 2.0070853231178725 " "
y[1] (numeric) = 2.0070853231178734 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.425215059220300500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11900000000000055 " "
y[1] (analytic) = 2.0070972745384155 " "
y[1] (numeric) = 2.0070972745384164 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.42518870892485800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11910000000000055 " "
y[1] (analytic) = 2.007109236101916 " "
y[1] (numeric) = 2.007109236101917 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.42516233658059700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11920000000000056 " "
y[1] (analytic) = 2.007121207808617 " "
y[1] (numeric) = 2.007121207808618 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.42513594218777600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11930000000000056 " "
y[1] (analytic) = 2.0071331896587616 " "
y[1] (numeric) = 2.0071331896587625 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.42510952574665400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11940000000000056 " "
y[1] (analytic) = 2.0071451816525925 " "
y[1] (numeric) = 2.0071451816525934 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.425083087257491400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11950000000000056 " "
y[1] (analytic) = 2.0071571837903526 " "
y[1] (numeric) = 2.0071571837903535 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.42505662672054770000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11960000000000057 " "
y[1] (analytic) = 2.007169196072286 " "
y[1] (numeric) = 2.0071691960722866 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21251507206804100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11970000000000057 " "
y[1] (analytic) = 2.007181218498636 " "
y[1] (numeric) = 2.0071812184986366 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.212501819752177900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11980000000000057 " "
y[1] (analytic) = 2.007193251069647 " "
y[1] (numeric) = 2.0071932510696477 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.424977112825629000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.11990000000000058 " "
y[1] (analytic) = 2.007205293785563 " "
y[1] (numeric) = 2.0072052937855633 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.212475282050079500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12000000000000058 " "
y[1] (analytic) = 2.0072173466466277 " "
y[1] (numeric) = 2.0072173466466285 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.42492399332821140000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12010000000000058 " "
y[1] (analytic) = 2.0072294096530867 " "
y[1] (numeric) = 2.007229409653087 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.212448700255022000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12020000000000058 " "
y[1] (analytic) = 2.007241482805184 " "
y[1] (numeric) = 2.0072414828051843 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.212435392822959300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12030000000000059 " "
y[1] (analytic) = 2.0072535661031647 " "
y[1] (numeric) = 2.007253566103165 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.212422074368048400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12040000000000059 " "
y[1] (analytic) = 2.0072656595472744 " "
y[1] (numeric) = 2.007265659547275 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.2124087448904198000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12050000000000059 " "
y[1] (analytic) = 2.007277763137758 " "
y[1] (numeric) = 2.0072777631377585 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21239540439020500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1206000000000006 " "
y[1] (analytic) = 2.0072898768748617 " "
y[1] (numeric) = 2.007289876874862 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21238205286753420000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1207000000000006 " "
y[1] (analytic) = 2.007302000758831 " "
y[1] (numeric) = 2.0073020007588314 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.212368690322538700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1208000000000006 " "
y[1] (analytic) = 2.0073141347899117 " "
y[1] (numeric) = 2.007314134789912 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.2123553167553500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1209000000000006 " "
y[1] (analytic) = 2.00732627896835 " "
y[1] (numeric) = 2.0073262789683506 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.212341932166099200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12100000000000061 " "
y[1] (analytic) = 2.007338433294393 " "
y[1] (numeric) = 2.0073384332943935 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21232853655491780000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12110000000000061 " "
y[1] (analytic) = 2.007350597768287 " "
y[1] (numeric) = 2.0073505977682875 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21231512992193700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12120000000000061 " "
y[1] (analytic) = 2.007362772390279 " "
y[1] (numeric) = 2.0073627723902794 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21230171226728900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12130000000000062 " "
y[1] (analytic) = 2.007374957160616 " "
y[1] (numeric) = 2.007374957160616 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12140000000000062 " "
y[1] (analytic) = 2.007387152079545 " "
y[1] (numeric) = 2.0073871520795454 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.212274843893516600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12150000000000062 " "
y[1] (analytic) = 2.0073993571473143 " "
y[1] (numeric) = 2.0073993571473143 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12160000000000062 " "
y[1] (analytic) = 2.007411572364171 " "
y[1] (numeric) = 2.007411572364171 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12170000000000063 " "
y[1] (analytic) = 2.0074237977303633 " "
y[1] (numeric) = 2.0074237977303633 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12180000000000063 " "
y[1] (analytic) = 2.007436033246139 " "
y[1] (numeric) = 2.0074360332461394 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.212220974891762600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12190000000000063 " "
y[1] (analytic) = 2.007448278911747 " "
y[1] (numeric) = 2.0074482789117476 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.212207480089134500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12200000000000064 " "
y[1] (analytic) = 2.0074605347274357 " "
y[1] (numeric) = 2.007460534727436 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21219397426589580000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12210000000000064 " "
y[1] (analytic) = 2.0074728006934537 " "
y[1] (numeric) = 2.007472800693454 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.212180457422178400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12220000000000064 " "
y[1] (analytic) = 2.0074850768100503 " "
y[1] (numeric) = 2.0074850768100507 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.212166929558115300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12230000000000064 " "
y[1] (analytic) = 2.0074973630774746 " "
y[1] (numeric) = 2.007497363077475 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21215339067383900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12240000000000065 " "
y[1] (analytic) = 2.0075096594959763 " "
y[1] (numeric) = 2.0075096594959767 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.212139840769482300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12250000000000065 " "
y[1] (analytic) = 2.0075219660658044 " "
y[1] (numeric) = 2.007521966065805 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.212126279845178200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12260000000000065 " "
y[1] (analytic) = 2.0075342827872094 " "
y[1] (numeric) = 2.00753428278721 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.2121127079010602000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12270000000000066 " "
y[1] (analytic) = 2.007546609660441 " "
y[1] (numeric) = 2.0075466096604413 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21209912493726100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12280000000000066 " "
y[1] (analytic) = 2.0075589466857493 " "
y[1] (numeric) = 2.0075589466857497 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21208553095391420000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12290000000000066 " "
y[1] (analytic) = 2.007571293863385 " "
y[1] (numeric) = 2.0075712938633856 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21207192595115300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12300000000000066 " "
y[1] (analytic) = 2.0075836511935994 " "
y[1] (numeric) = 2.0075836511936 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.212058309929110500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12310000000000067 " "
y[1] (analytic) = 2.007596018676643 " "
y[1] (numeric) = 2.0075960186766433 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.212044682887920600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12320000000000067 " "
y[1] (analytic) = 2.0076083963127664 " "
y[1] (numeric) = 2.007608396312767 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21203104482771700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12330000000000067 " "
y[1] (analytic) = 2.0076207841022216 " "
y[1] (numeric) = 2.007620784102222 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.212017395748633600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12340000000000068 " "
y[1] (analytic) = 2.00763318204526 " "
y[1] (numeric) = 2.0076331820452604 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.212003735650804000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12350000000000068 " "
y[1] (analytic) = 2.007645590142133 " "
y[1] (numeric) = 2.0076455901421335 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21199006453436300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12360000000000068 " "
y[1] (analytic) = 2.0076580083930935 " "
y[1] (numeric) = 2.0076580083930935 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12370000000000068 " "
y[1] (analytic) = 2.0076704367983926 " "
y[1] (numeric) = 2.0076704367983926 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12380000000000069 " "
y[1] (analytic) = 2.007682875358283 " "
y[1] (numeric) = 2.007682875358283 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12390000000000069 " "
y[1] (analytic) = 2.007695324073018 " "
y[1] (numeric) = 2.007695324073018 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12400000000000069 " "
y[1] (analytic) = 2.00770778294285 " "
y[1] (numeric) = 2.00770778294285 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1241000000000007 " "
y[1] (analytic) = 2.0077202519680317 " "
y[1] (numeric) = 2.0077202519680317 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1242000000000007 " "
y[1] (analytic) = 2.007732731148817 " "
y[1] (numeric) = 2.007732731148817 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1243000000000007 " "
y[1] (analytic) = 2.0077452204854587 " "
y[1] (numeric) = 2.0077452204854587 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1244000000000007 " "
y[1] (analytic) = 2.007757719978211 " "
y[1] (numeric) = 2.007757719978211 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12450000000000071 " "
y[1] (analytic) = 2.0077702296273277 " "
y[1] (numeric) = 2.0077702296273277 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12460000000000071 " "
y[1] (analytic) = 2.0077827494330625 " "
y[1] (numeric) = 2.0077827494330625 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12470000000000071 " "
y[1] (analytic) = 2.0077952793956704 " "
y[1] (numeric) = 2.0077952793956704 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12480000000000072 " "
y[1] (analytic) = 2.007807819515405 " "
y[1] (numeric) = 2.0078078195154054 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.211811337388086600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12490000000000072 " "
y[1] (analytic) = 2.007820369792522 " "
y[1] (numeric) = 2.0078203697925225 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.211797512025204500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12500000000000072 " "
y[1] (analytic) = 2.007832930227276 " "
y[1] (numeric) = 2.0078329302272766 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.211783675645732400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1251000000000007 " "
y[1] (analytic) = 2.0078455008199225 " "
y[1] (numeric) = 2.0078455008199225 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1252000000000007 " "
y[1] (analytic) = 2.007858081570716 " "
y[1] (numeric) = 2.007858081570716 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1253000000000007 " "
y[1] (analytic) = 2.0078706724799127 " "
y[1] (numeric) = 2.0078706724799127 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12540000000000068 " "
y[1] (analytic) = 2.0078832735477685 " "
y[1] (numeric) = 2.0078832735477685 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12550000000000067 " "
y[1] (analytic) = 2.0078958847745394 " "
y[1] (numeric) = 2.0078958847745394 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12560000000000066 " "
y[1] (analytic) = 2.007908506160481 " "
y[1] (numeric) = 2.007908506160481 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12570000000000064 " "
y[1] (analytic) = 2.007921137705851 " "
y[1] (numeric) = 2.007921137705851 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12580000000000063 " "
y[1] (analytic) = 2.0079337794109047 " "
y[1] (numeric) = 2.0079337794109047 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12590000000000062 " "
y[1] (analytic) = 2.0079464312758994 " "
y[1] (numeric) = 2.0079464312759 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21165865250636800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1260000000000006 " "
y[1] (analytic) = 2.007959093301093 " "
y[1] (numeric) = 2.007959093301093 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1261000000000006 " "
y[1] (analytic) = 2.007971765486742 " "
y[1] (numeric) = 2.007971765486742 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1262000000000006 " "
y[1] (analytic) = 2.007984447833104 " "
y[1] (numeric) = 2.007984447833104 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12630000000000058 " "
y[1] (analytic) = 2.0079971403404366 " "
y[1] (numeric) = 2.0079971403404366 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12640000000000057 " "
y[1] (analytic) = 2.0080098430089985 " "
y[1] (numeric) = 2.008009843008998 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.211588809667366400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12650000000000056 " "
y[1] (analytic) = 2.0080225558390468 " "
y[1] (numeric) = 2.0080225558390468 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12660000000000055 " "
y[1] (analytic) = 2.0080352788308407 " "
y[1] (numeric) = 2.0080352788308407 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12670000000000053 " "
y[1] (analytic) = 2.0080480119846382 " "
y[1] (numeric) = 2.0080480119846382 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12680000000000052 " "
y[1] (analytic) = 2.0080607553006984 " "
y[1] (numeric) = 2.0080607553006984 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1269000000000005 " "
y[1] (analytic) = 2.0080735087792805 " "
y[1] (numeric) = 2.0080735087792805 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1270000000000005 " "
y[1] (analytic) = 2.008086272420643 " "
y[1] (numeric) = 2.0080862724206434 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.211504634782131600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1271000000000005 " "
y[1] (analytic) = 2.008099046225046 " "
y[1] (numeric) = 2.0080990462250465 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.211490567085772400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12720000000000048 " "
y[1] (analytic) = 2.008111830192749 " "
y[1] (numeric) = 2.0081118301927496 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21147648837583200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12730000000000047 " "
y[1] (analytic) = 2.008124624324012 " "
y[1] (numeric) = 2.0081246243240125 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.211462398652448100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12740000000000046 " "
y[1] (analytic) = 2.008137428619095 " "
y[1] (numeric) = 2.0081374286190954 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21144829791575880000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12750000000000045 " "
y[1] (analytic) = 2.0081502430782576 " "
y[1] (numeric) = 2.008150243078258 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.211434186165902600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12760000000000044 " "
y[1] (analytic) = 2.0081630677017612 " "
y[1] (numeric) = 2.0081630677017617 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21142006340301700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12770000000000042 " "
y[1] (analytic) = 2.008175902489866 " "
y[1] (numeric) = 2.0081759024898664 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.211405929627241200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1278000000000004 " "
y[1] (analytic) = 2.0081887474428335 " "
y[1] (numeric) = 2.0081887474428335 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1279000000000004 " "
y[1] (analytic) = 2.008201602560924 " "
y[1] (numeric) = 2.008201602560924 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1280000000000004 " "
y[1] (analytic) = 2.0082144678443994 " "
y[1] (numeric) = 2.0082144678443994 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12810000000000038 " "
y[1] (analytic) = 2.008227343293521 " "
y[1] (numeric) = 2.008227343293521 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12820000000000037 " "
y[1] (analytic) = 2.008240228908551 " "
y[1] (numeric) = 2.0082402289085506 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.211335095559850100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12830000000000036 " "
y[1] (analytic) = 2.008253124689751 " "
y[1] (numeric) = 2.0082531246897504 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.211320895709641400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12840000000000035 " "
y[1] (analytic) = 2.008266030637383 " "
y[1] (numeric) = 2.0082660306373827 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.211306684847513200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12850000000000034 " "
y[1] (analytic) = 2.00827894675171 " "
y[1] (numeric) = 2.0082789467517097 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21129246297360500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12860000000000033 " "
y[1] (analytic) = 2.0082918730329946 " "
y[1] (numeric) = 2.008291873032994 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.211278230088055700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12870000000000031 " "
y[1] (analytic) = 2.0083048094814995 " "
y[1] (numeric) = 2.0083048094814986 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.42252797238200900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1288000000000003 " "
y[1] (analytic) = 2.008317756097487 " "
y[1] (numeric) = 2.0083177560974863 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.422499462565183700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1289000000000003 " "
y[1] (analytic) = 2.0083307128812216 " "
y[1] (numeric) = 2.0083307128812207 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.42247093072591300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12900000000000028 " "
y[1] (analytic) = 2.008343679832966 " "
y[1] (numeric) = 2.008343679832965 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.42244237686447700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12910000000000027 " "
y[1] (analytic) = 2.0083566569529845 " "
y[1] (numeric) = 2.008356656952983 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.63362070147173100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12920000000000026 " "
y[1] (analytic) = 2.00836964424154 " "
y[1] (numeric) = 2.008369644241539 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.63357780461433900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12930000000000025 " "
y[1] (analytic) = 2.0083826416988977 " "
y[1] (numeric) = 2.0083826416988964 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.63353487472495800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12940000000000024 " "
y[1] (analytic) = 2.0083956493253217 " "
y[1] (numeric) = 2.00839564932532 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.84465588240534300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12950000000000023 " "
y[1] (analytic) = 2.008408667121076 " "
y[1] (numeric) = 2.008408667121074 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.84459855446921200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12960000000000022 " "
y[1] (analytic) = 2.008421695086426 " "
y[1] (numeric) = 2.0084216950864238 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10556764781151370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1297000000000002 " "
y[1] (analytic) = 2.008434733221636 " "
y[1] (numeric) = 2.008434733221634 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.1055604708093250000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1298000000000002 " "
y[1] (analytic) = 2.008447781526972 " "
y[1] (numeric) = 2.0084477815269697 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10555328830215540000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.12990000000000018 " "
y[1] (analytic) = 2.008460840002699 " "
y[1] (numeric) = 2.0084608400026966 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10554610029007540000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13000000000000017 " "
y[1] (analytic) = 2.008473908649082 " "
y[1] (numeric) = 2.0084739086490804 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.84431125418524400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13010000000000016 " "
y[1] (analytic) = 2.008486987466388 " "
y[1] (numeric) = 2.0084869874663864 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.84425366201172700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13020000000000015 " "
y[1] (analytic) = 2.008500076454883 " "
y[1] (numeric) = 2.008500076454881 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10552450322507660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13030000000000014 " "
y[1] (analytic) = 2.0085131756148322 " "
y[1] (numeric) = 2.00851317561483 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10551729319405900000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13040000000000013 " "
y[1] (analytic) = 2.0085262849465026 " "
y[1] (numeric) = 2.0085262849465004 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10551007765848320000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13050000000000012 " "
y[1] (analytic) = 2.008539404450161 " "
y[1] (numeric) = 2.008539404450159 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10550285661842000000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1306000000000001 " "
y[1] (analytic) = 2.008552534126075 " "
y[1] (numeric) = 2.0085525341260726 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10549563007393950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1307000000000001 " "
y[1] (analytic) = 2.0085656739745104 " "
y[1] (numeric) = 2.008565673974508 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10548839802511320000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13080000000000008 " "
y[1] (analytic) = 2.008578823995735 " "
y[1] (numeric) = 2.008578823995733 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10548116047201130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13090000000000007 " "
y[1] (analytic) = 2.0085919841900166 " "
y[1] (numeric) = 2.0085919841900144 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10547391741470500000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13100000000000006 " "
y[1] (analytic) = 2.008605154557623 " "
y[1] (numeric) = 2.0086051545576207 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10546666885326520000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13110000000000005 " "
y[1] (analytic) = 2.008618335098822 " "
y[1] (numeric) = 2.0086183350988196 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10545941478776240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13120000000000004 " "
y[1] (analytic) = 2.0086315258138816 " "
y[1] (numeric) = 2.0086315258138794 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10545215521826780000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13130000000000003 " "
y[1] (analytic) = 2.0086447267030705 " "
y[1] (numeric) = 2.0086447267030683 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10544489014485240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13140000000000002 " "
y[1] (analytic) = 2.008657937766657 " "
y[1] (numeric) = 2.008657937766655 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10543761956758760000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1315 " "
y[1] (analytic) = 2.0086711590049107 " "
y[1] (numeric) = 2.0086711590049084 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10543034348654420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1316 " "
y[1] (analytic) = 2.0086843904180998 " "
y[1] (numeric) = 2.0086843904180975 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10542306190179340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13169999999999998 " "
y[1] (analytic) = 2.008697632006494 " "
y[1] (numeric) = 2.0086976320064918 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10541577481340640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13179999999999997 " "
y[1] (analytic) = 2.0087108837703624 " "
y[1] (numeric) = 2.0087108837703602 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10540848222145470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13189999999999996 " "
y[1] (analytic) = 2.008724145709975 " "
y[1] (numeric) = 2.008724145709973 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10540118412600950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13199999999999995 " "
y[1] (analytic) = 2.0087374178256017 " "
y[1] (numeric) = 2.0087374178255994 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10539388052714210000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13209999999999994 " "
y[1] (analytic) = 2.008750700117513 " "
y[1] (numeric) = 2.0087507001175102 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32646388570990870000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13219999999999993 " "
y[1] (analytic) = 2.008763992585978 " "
y[1] (numeric) = 2.0087639925859757 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10537925681942690000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13229999999999992 " "
y[1] (analytic) = 2.0087772952312686 " "
y[1] (numeric) = 2.008777295231266 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32644632405286650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1323999999999999 " "
y[1] (analytic) = 2.008790608053655 " "
y[1] (numeric) = 2.008790608053652 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32643753331865730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1324999999999999 " "
y[1] (analytic) = 2.0088039310534076 " "
y[1] (numeric) = 2.008803931053405 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32642873598077100000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13259999999999988 " "
y[1] (analytic) = 2.0088172642307986 " "
y[1] (numeric) = 2.008817264230796 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32641993203929360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13269999999999987 " "
y[1] (analytic) = 2.008830607586099 " "
y[1] (numeric) = 2.008830607586096 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3264111214943110000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13279999999999986 " "
y[1] (analytic) = 2.00884396111958 " "
y[1] (numeric) = 2.0088439611195774 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32640230434590940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13289999999999985 " "
y[1] (analytic) = 2.008857324831514 " "
y[1] (numeric) = 2.0088573248315114 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32639348059417520000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13299999999999984 " "
y[1] (analytic) = 2.008870698722173 " "
y[1] (numeric) = 2.0088706987221703 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32638465023919430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13309999999999983 " "
y[1] (analytic) = 2.008884082791829 " "
y[1] (numeric) = 2.0088840827918264 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32637581328105350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13319999999999982 " "
y[1] (analytic) = 2.008897477040755 " "
y[1] (numeric) = 2.008897477040752 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5474281313398120000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1332999999999998 " "
y[1] (analytic) = 2.0089108814692227 " "
y[1] (numeric) = 2.00891088146922 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3263581195556370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1333999999999998 " "
y[1] (analytic) = 2.008924296077506 " "
y[1] (numeric) = 2.0089242960775033 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32634926278853430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13349999999999979 " "
y[1] (analytic) = 2.0089377208658776 " "
y[1] (numeric) = 2.008937720865875 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32634039941861760000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13359999999999977 " "
y[1] (analytic) = 2.0089511558346107 " "
y[1] (numeric) = 2.008951155834608 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32633152944597380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13369999999999976 " "
y[1] (analytic) = 2.008964600983979 " "
y[1] (numeric) = 2.0089646009839766 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32632265287068870000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13379999999999975 " "
y[1] (analytic) = 2.0089780563142563 " "
y[1] (numeric) = 2.008978056314254 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10526147474404150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13389999999999974 " "
y[1] (analytic) = 2.008991521825717 " "
y[1] (numeric) = 2.008991521825714 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32630487991254380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13399999999999973 " "
y[1] (analytic) = 2.009004997518634 " "
y[1] (numeric) = 2.0090049975186317 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.1052466529415480000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13409999999999972 " "
y[1] (analytic) = 2.009018483393283 " "
y[1] (numeric) = 2.0090184833932807 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10523923378739830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1341999999999997 " "
y[1] (analytic) = 2.0090319794499383 " "
y[1] (numeric) = 2.009031979449936 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10523180913141000000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1342999999999997 " "
y[1] (analytic) = 2.0090454856888744 " "
y[1] (numeric) = 2.009045485688872 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10522437897365590000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1343999999999997 " "
y[1] (analytic) = 2.0090590021103667 " "
y[1] (numeric) = 2.0090590021103645 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10521694331420820000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13449999999999968 " "
y[1] (analytic) = 2.00907252871469 " "
y[1] (numeric) = 2.009072528714688 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.84167601722512200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13459999999999966 " "
y[1] (analytic) = 2.0090860655021205 " "
y[1] (numeric) = 2.0090860655021188 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.84161644392419200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13469999999999965 " "
y[1] (analytic) = 2.0090996124729332 " "
y[1] (numeric) = 2.0090996124729315 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.84155682661146200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13479999999999964 " "
y[1] (analytic) = 2.0091131696274047 " "
y[1] (numeric) = 2.0091131696274025 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10518714566093880000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13489999999999963 " "
y[1] (analytic) = 2.0091267369658103 " "
y[1] (numeric) = 2.009126736965808 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10517968249411570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13499999999999962 " "
y[1] (analytic) = 2.009140314488427 " "
y[1] (numeric) = 2.009140314488425 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.84137771060828900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1350999999999996 " "
y[1] (analytic) = 2.009153902195531 " "
y[1] (numeric) = 2.0091539021955294 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.84131791725418100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1351999999999996 " "
y[1] (analytic) = 2.0091675000873996 " "
y[1] (numeric) = 2.009167500087398 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.8412580798911900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1352999999999996 " "
y[1] (analytic) = 2.009181108164309 " "
y[1] (numeric) = 2.0091811081643076 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.63089864888992500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13539999999999958 " "
y[1] (analytic) = 2.009194726426537 " "
y[1] (numeric) = 2.0091947264265357 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.6308537048556700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13549999999999957 " "
y[1] (analytic) = 2.0092083548743607 " "
y[1] (numeric) = 2.0092083548743593 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.6308087278160710000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13559999999999955 " "
y[1] (analytic) = 2.0092219935080577 " "
y[1] (numeric) = 2.0092219935080564 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.63076371777156200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13569999999999954 " "
y[1] (analytic) = 2.0092356423279067 " "
y[1] (numeric) = 2.009235642327905 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.84095823296344600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13579999999999953 " "
y[1] (analytic) = 2.0092493013341843 " "
y[1] (numeric) = 2.009249301334183 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.63067359866958200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13589999999999952 " "
y[1] (analytic) = 2.00926297052717 " "
y[1] (numeric) = 2.0092629705271685 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.6306284896129910000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1359999999999995 " "
y[1] (analytic) = 2.0092766499071417 " "
y[1] (numeric) = 2.00927664990714 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.84077779673766900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1360999999999995 " "
y[1] (analytic) = 2.009290339474378 " "
y[1] (numeric) = 2.0092903394743766 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.63053817249080700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1361999999999995 " "
y[1] (analytic) = 2.0093040392291583 " "
y[1] (numeric) = 2.009304039229157 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.63049296442609900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13629999999999948 " "
y[1] (analytic) = 2.0093177491717613 " "
y[1] (numeric) = 2.00931774917176 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.63044772335956800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13639999999999947 " "
y[1] (analytic) = 2.0093314693024666 " "
y[1] (numeric) = 2.0093314693024653 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.63040244929165700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13649999999999946 " "
y[1] (analytic) = 2.009345199621554 " "
y[1] (numeric) = 2.0093451996215523 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.84047618963040600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13659999999999944 " "
y[1] (analytic) = 2.0093589401293026 " "
y[1] (numeric) = 2.0093589401293013 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.63031180215345800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13669999999999943 " "
y[1] (analytic) = 2.0093726908259932 " "
y[1] (numeric) = 2.0093726908259915 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.84035523877874100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13679999999999942 " "
y[1] (analytic) = 2.0093864517119053 " "
y[1] (numeric) = 2.0093864517119036 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.84029469735339100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1368999999999994 " "
y[1] (analytic) = 2.0094002227873196 " "
y[1] (numeric) = 2.009400222787318 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.84023411192915400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1369999999999994 " "
y[1] (analytic) = 2.009414004052517 " "
y[1] (numeric) = 2.0094140040525152 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.84017348250661700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1370999999999994 " "
y[1] (analytic) = 2.0094277955077784 " "
y[1] (numeric) = 2.009427795507776 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10501410113579650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13719999999999938 " "
y[1] (analytic) = 2.009441597153384 " "
y[1] (numeric) = 2.009441597153382 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.84005209166901800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13729999999999937 " "
y[1] (analytic) = 2.009455408989616 " "
y[1] (numeric) = 2.009455408989614 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83999133025514100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13739999999999936 " "
y[1] (analytic) = 2.0094692310167557 " "
y[1] (numeric) = 2.009469231016754 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83993052484533700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13749999999999934 " "
y[1] (analytic) = 2.0094830632350846 " "
y[1] (numeric) = 2.009483063235083 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83986967544019800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13759999999999933 " "
y[1] (analytic) = 2.009496905644885 " "
y[1] (numeric) = 2.009496905644883 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83980878204032100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13769999999999932 " "
y[1] (analytic) = 2.0095107582464387 " "
y[1] (numeric) = 2.009510758246437 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83974784464629800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1377999999999993 " "
y[1] (analytic) = 2.009524621040028 " "
y[1] (numeric) = 2.0095246210400264 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83968686325872400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1378999999999993 " "
y[1] (analytic) = 2.0095384940259358 " "
y[1] (numeric) = 2.0095384940259344 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.62971937840864900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1379999999999993 " "
y[1] (analytic) = 2.009552377204445 " "
y[1] (numeric) = 2.0095523772044435 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.62967357637898300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13809999999999928 " "
y[1] (analytic) = 2.009566270575838 " "
y[1] (numeric) = 2.009566270575837 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.62962774135549400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13819999999999927 " "
y[1] (analytic) = 2.0095801741403987 " "
y[1] (numeric) = 2.0095801741403974 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.62958187333863100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13829999999999926 " "
y[1] (analytic) = 2.00959408789841 " "
y[1] (numeric) = 2.009594087898409 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.62953597232884200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13839999999999925 " "
y[1] (analytic) = 2.0096080118501565 " "
y[1] (numeric) = 2.009608011850155 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.62949003832657100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13849999999999923 " "
y[1] (analytic) = 2.009621945995921 " "
y[1] (numeric) = 2.0096219459959195 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.62944407133227100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13859999999999922 " "
y[1] (analytic) = 2.009635890335988 " "
y[1] (numeric) = 2.0096358903359866 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.62939807134638800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1386999999999992 " "
y[1] (analytic) = 2.0096498448706415 " "
y[1] (numeric) = 2.0096498448706406 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.41956802557958100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1387999999999992 " "
y[1] (analytic) = 2.0096638096001667 " "
y[1] (numeric) = 2.0096638096001658 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.41953731493444700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1388999999999992 " "
y[1] (analytic) = 2.009677784524848 " "
y[1] (numeric) = 2.009677784524847 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.62925987344373400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13899999999999918 " "
y[1] (analytic) = 2.00969176964497 " "
y[1] (numeric) = 2.009691769644969 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.4194758276640095000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13909999999999917 " "
y[1] (analytic) = 2.0097057649608185 " "
y[1] (numeric) = 2.0097057649608177 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.41944505103930630000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13919999999999916 " "
y[1] (analytic) = 2.009719770472679 " "
y[1] (numeric) = 2.0097197704726777 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.62912137863301800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13929999999999915 " "
y[1] (analytic) = 2.009733786180836 " "
y[1] (numeric) = 2.009733786180835 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.62907514771864500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13939999999999914 " "
y[1] (analytic) = 2.0097478120855765 " "
y[1] (numeric) = 2.009747812085575 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.62902888381628900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13949999999999912 " "
y[1] (analytic) = 2.009761848187186 " "
y[1] (numeric) = 2.0097618481871846 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.62898258692640200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1395999999999991 " "
y[1] (analytic) = 2.0097758944859505 " "
y[1] (numeric) = 2.009775894485949 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.62893625704943600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1396999999999991 " "
y[1] (analytic) = 2.009789950982157 " "
y[1] (numeric) = 2.0097899509821557 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.62888989418584200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1397999999999991 " "
y[1] (analytic) = 2.009804017676092 " "
y[1] (numeric) = 2.0098040176760907 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.62884349833607100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13989999999999908 " "
y[1] (analytic) = 2.0098180945680424 " "
y[1] (numeric) = 2.009818094568041 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.6287970695005790000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.13999999999999907 " "
y[1] (analytic) = 2.0098321816582954 " "
y[1] (numeric) = 2.009832181658294 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.62875060767981700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.14009999999999906 " "
y[1] (analytic) = 2.0098462789471383 " "
y[1] (numeric) = 2.0098462789471365 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83827215049898400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.14019999999999905 " "
y[1] (analytic) = 2.009860386434858 " "
y[1] (numeric) = 2.0098603864348568 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.62865758508429800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.14029999999999904 " "
y[1] (analytic) = 2.0098745041217434 " "
y[1] (numeric) = 2.009874504121742 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.62861102431044600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.14039999999999903 " "
y[1] (analytic) = 2.0098886320080815 " "
y[1] (numeric) = 2.00988863200808 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.6285644305531400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.14049999999999901 " "
y[1] (analytic) = 2.009902770094161 " "
y[1] (numeric) = 2.00990277009416 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.62851780381283300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.140599999999999 " "
y[1] (analytic) = 2.0099169183802705 " "
y[1] (numeric) = 2.009916918380269 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.6284711440899800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.140699999999999 " "
y[1] (analytic) = 2.0099310768666983 " "
y[1] (numeric) = 2.009931076866697 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.62842445138503500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.14079999999999898 " "
y[1] (analytic) = 2.0099452455537334 " "
y[1] (numeric) = 2.0099452455537317 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.8378369675979400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.14089999999999897 " "
y[1] (analytic) = 2.0099594244416643 " "
y[1] (numeric) = 2.009959424441663 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.62833096703069700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.14099999999999896 " "
y[1] (analytic) = 2.0099736135307813 " "
y[1] (numeric) = 2.0099736135307795 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83771223384294800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.14109999999999895 " "
y[1] (analytic) = 2.009987812821373 " "
y[1] (numeric) = 2.0099878128213713 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83764980100461200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.14119999999999894 " "
y[1] (analytic) = 2.0100020223137296 " "
y[1] (numeric) = 2.010002022313728 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83758732419319600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.14129999999999893 " "
y[1] (analytic) = 2.0100162420081404 " "
y[1] (numeric) = 2.010016242008139 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.6281436025569800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.14139999999999892 " "
y[1] (analytic) = 2.010030471904897 " "
y[1] (numeric) = 2.010030471904895 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83746223865355200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1414999999999989 " "
y[1] (analytic) = 2.0100447120042877 " "
y[1] (numeric) = 2.0100447120042864 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.6280497224449110000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.1415999999999989 " "
y[1] (analytic) = 2.010058962306605 " "
y[1] (numeric) = 2.010058962306603 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83733697722889700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.14169999999999888 " "
y[1] (analytic) = 2.0100732228121383 " "
y[1] (numeric) = 2.0100732228121365 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83727428056121600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.14179999999999887 " "
y[1] (analytic) = 2.0100874935211794 " "
y[1] (numeric) = 2.0100874935211777 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83721153992411400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.14189999999999886 " "
y[1] (analytic) = 2.0101017744340197 " "
y[1] (numeric) = 2.0101017744340175 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10464359441477520000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.14199999999999885 " "
y[1] (analytic) = 2.0101160655509496 " "
y[1] (numeric) = 2.010116065550948 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83708592674409400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 733.1811127612074 " "
Order of pole = 14127.163793696222 " "
x[1] = 0.14209999999999884 " "
y[1] (analytic) = 2.0101303668722617 " "
y[1] (numeric) = 2.01013036687226 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.837023054202400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 271.4342346464269 " "
Order of pole = 5214.364336877880 " "
x[1] = 0.14219999999999883 " "
y[1] (analytic) = 2.0101446783982477 " "
y[1] (numeric) = 2.0101446783982455 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10462001721171670000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 166.75096773829964 " "
Order of pole = 3193.732117835271 " "
x[1] = 0.14229999999999882 " "
y[1] (analytic) = 2.010159000129199 " "
y[1] (numeric) = 2.0101590001291973 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83689717721871100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 120.44648103143504 " "
Order of pole = 2299.947619942215 " "
x[1] = 0.1423999999999988 " "
y[1] (analytic) = 2.010173332065409 " "
y[1] (numeric) = 2.010173332065407 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.8368341727779400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 94.3344122959341 " "
Order of pole = 1795.9242670512378 " "
x[1] = 0.1424999999999988 " "
y[1] (analytic) = 2.01018767420717 " "
y[1] (numeric) = 2.0101876742071676 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10459639054650480000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 77.57097915654411 " "
Order of pole = 1472.351563039715 " "
x[1] = 0.14259999999999878 " "
y[1] (analytic) = 2.0102020265547735 " "
y[1] (numeric) = 2.0102020265547718 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83670803200162200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 65.89800045804945 " "
Order of pole = 1247.0365996276787 " "
x[1] = 0.14269999999999877 " "
y[1] (analytic) = 2.010216389108514 " "
y[1] (numeric) = 2.0102163891085123 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83664489566730200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 57.30247301635806 " "
Order of pole = 1081.1236823188215 " "
x[1] = 0.14279999999999876 " "
y[1] (analytic) = 2.010230761868684 " "
y[1] (numeric) = 2.0102307618686823 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83658171536969500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 50.70916172320624 " "
Order of pole = 953.858245393426 " "
x[1] = 0.14289999999999875 " "
y[1] (analytic) = 2.010245144835577 " "
y[1] (numeric) = 2.0102451448355754 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83651849110941600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 45.49148363607382 " "
Order of pole = 853.1457648172836 " "
x[1] = 0.14299999999999874 " "
y[1] (analytic) = 2.0102595380094868 " "
y[1] (numeric) = 2.010259538009485 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83645522288708300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 41.25960689250201 " "
Order of pole = 771.4615690587906 " "
x[1] = 0.14309999999999873 " "
y[1] (analytic) = 2.0102739413907065 " "
y[1] (numeric) = 2.010273941390705 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.62729393302748400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 37.75828268023311 " "
Order of pole = 703.878755891594 " "
x[1] = 0.14319999999999872 " "
y[1] (analytic) = 2.010288354979531 " "
y[1] (numeric) = 2.0102883549795294 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83632855455871800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 34.81338138151285 " "
Order of pole = 647.0362142735453 " "
x[1] = 0.1432999999999987 " "
y[1] (analytic) = 2.010302778776254 " "
y[1] (numeric) = 2.0103027787762526 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.62719886584044100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 32.30203939482322 " "
Order of pole = 598.5623878143 " "
x[1] = 0.1433999999999987 " "
y[1] (analytic) = 2.0103172127811706 " "
y[1] (numeric) = 2.010317212781169 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83620171038953600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 30.135085860411667 " "
Order of pole = 556.7360692591383 " "
x[1] = 0.14349999999999868 " "
y[1] (analytic) = 2.0103316569945746 " "
y[1] (numeric) = 2.010331656994573 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83613822236618300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 28.2462342531191 " "
Order of pole = 520.2777728174412 " "
x[1] = 0.14359999999999867 " "
y[1] (analytic) = 2.010346111416762 " "
y[1] (numeric) = 2.01034611141676 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83607469038447900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 26.585183841049194 " "
Order of pole = 488.21657609491 " "
x[1] = 0.14369999999999866 " "
y[1] (analytic) = 2.0103605760480265 " "
y[1] (numeric) = 2.0103605760480248 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83601111444504400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 25.113074744666836 " "
Order of pole = 459.80239204795146 " "
x[1] = 0.14379999999999865 " "
y[1] (analytic) = 2.010375050888665 " "
y[1] (numeric) = 2.010375050888663 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.1044934368185620000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 23.7994101812242 " "
Order of pole = 434.446561064566 " "
x[1] = 0.14389999999999864 " "
y[1] (analytic) = 2.010389535938972 " "
y[1] (numeric) = 2.01038953593897 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83588383069545700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 22.61992153602443 " "
Order of pole = 411.68064182002394 " "
x[1] = 0.14399999999999863 " "
y[1] (analytic) = 2.010404031199244 " "
y[1] (numeric) = 2.0104040311992417 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10447751536081790000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 21.555055669259563 " "
Order of pole = 391.1272127421365 " "
x[1] = 0.14409999999999862 " "
y[1] (analytic) = 2.010418536669776 " "
y[1] (numeric) = 2.010418536669774 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10446954639029730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 20.588882681147275 " "
Order of pole = 372.4787893102952 " "
x[1] = 0.1441999999999986 " "
y[1] (analytic) = 2.0104330523508653 " "
y[1] (numeric) = 2.010433052350863 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.1044615719254479000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 19.708293826042322 " "
Order of pole = 355.4823419119319 " "
x[1] = 0.1442999999999986 " "
y[1] (analytic) = 2.0104475782428075 " "
y[1] (numeric) = 2.0104475782428057 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83562873573078000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 18.902403464525108 " "
Order of pole = 339.92775211167435 " "
x[1] = 0.14439999999999859 " "
y[1] (analytic) = 2.0104621143459 " "
y[1] (numeric) = 2.010462114345898 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83556485210458600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 18.162096961896268 " "
Order of pole = 325.63908602929763 " "
x[1] = 0.14449999999999857 " "
y[1] (analytic) = 2.010476660660439 " "
y[1] (numeric) = 2.010476660660437 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83550092452562800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 17.479684604332295 " "
Order of pole = 312.4679141077999 " "
x[1] = 0.14459999999999856 " "
y[1] (analytic) = 2.010491217186722 " "
y[1] (numeric) = 2.01049121718672 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83543695299452400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 16.848633619221037 " "
Order of pole = 300.2881384757968 " "
x[1] = 0.14469999999999855 " "
y[1] (analytic) = 2.010505783925046 " "
y[1] (numeric) = 2.010505783925044 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83537293751190300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 16.263358480753645 " "
Order of pole = 288.9919453524056 " "
x[1] = 0.14479999999999854 " "
y[1] (analytic) = 2.010520360875709 " "
y[1] (numeric) = 2.0105203608757067 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10441360975979770000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 15.71905522824426 " "
Order of pole = 278.4866070012566 " "
x[1] = 0.14489999999999853 " "
y[1] (analytic) = 2.010534948039008 " "
y[1] (numeric) = 2.010534948039006 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10440559683682370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 15.211569384145381 " "
Order of pole = 268.6919322376351 " "
x[1] = 0.14499999999999852 " "
y[1] (analytic) = 2.0105495454152416 " "
y[1] (numeric) = 2.0105495454152393 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10439757842014350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 14.737289782046615 " "
Order of pole = 259.5382170592225 " "
x[1] = 0.1450999999999985 " "
y[1] (analytic) = 2.0105641530047076 " "
y[1] (numeric) = 2.0105641530047054 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10438955450983500000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 14.293062562546947 " "
Order of pole = 250.96458456421323 " "
x[1] = 0.1451999999999985 " "
y[1] (analytic) = 2.0105787708077045 " "
y[1] (numeric) = 2.0105787708077023 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10438152510597690000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 13.876121004843537 " "
Order of pole = 242.9176305359992 " "
x[1] = 0.14529999999999849 " "
y[1] (analytic) = 2.010593398824531 " "
y[1] (numeric) = 2.0105933988245286 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10437349020864690000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 13.48402789333958 " "
Order of pole = 235.35031098318814 " "
x[1] = 0.14539999999999847 " "
y[1] (analytic) = 2.0106080370554857 " "
y[1] (numeric) = 2.0106080370554835 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10436544981792330000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 13.114627882578818 " "
Order of pole = 228.22102267084136 " "
x[1] = 0.14549999999999846 " "
y[1] (analytic) = 2.0106226855008678 " "
y[1] (numeric) = 2.0106226855008655 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10435740393388420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 12.76600789352796 " "
Order of pole = 221.49283867560584 " "
x[1] = 0.14559999999999845 " "
y[1] (analytic) = 2.0106373441609766 " "
y[1] (numeric) = 2.0106373441609744 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10434935255660840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 12.436464004747684 " "
Order of pole = 215.13286930746773 " "
x[1] = 0.14569999999999844 " "
y[1] (analytic) = 2.010652013036111 " "
y[1] (numeric) = 2.0106520130361094 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.83473036548939200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 12.124473628782678 " "
Order of pole = 209.11172504866101 " "
x[1] = 0.14579999999999843 " "
y[1] (analytic) = 2.010666692126572 " "
y[1] (numeric) = 2.01066669212657 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10433323332265920000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 11.828672014977197 " "
Order of pole = 203.4030630027587 " "
x[1] = 0.14589999999999842 " "
y[1] (analytic) = 2.0106813814326583 " "
y[1] (numeric) = 2.010681381432656 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10432516546614290000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 11.547832313754089 " "
Order of pole = 197.98320208838624 " "
x[1] = 0.1459999999999984 " "
y[1] (analytic) = 2.010696080954671 " "
y[1] (numeric) = 2.010696080954668 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32518051054004350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 11.280848588002632 " "
Order of pole = 192.83079511906215 " "
x[1] = 0.1460999999999984 " "
y[1] (analytic) = 2.010710790692909 " "
y[1] (numeric) = 2.0107107906929063 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32517081592930300000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 11.026721275554573 " "
Order of pole = 187.92654819480396 " "
x[1] = 0.1461999999999984 " "
y[1] (analytic) = 2.010725510647674 " "
y[1] (numeric) = 2.010725510647671 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32516111472724270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 10.784544699861886 " "
Order of pole = 183.2529796288434 " "
x[1] = 0.14629999999999838 " "
y[1] (analytic) = 2.0107402408192665 " "
y[1] (numeric) = 2.010740240819264 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32515140693395760000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 10.553496299954785 " "
Order of pole = 178.79421206049477 " "
x[1] = 0.14639999999999836 " "
y[1] (analytic) = 2.0107549812079877 " "
y[1] (numeric) = 2.010754981207985 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32514169254954200000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 10.332827309657043 " "
Order of pole = 174.5357925420927 " "
x[1] = 0.14649999999999835 " "
y[1] (analytic) = 2.0107697318141384 " "
y[1] (numeric) = 2.0107697318141358 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3251319715740910000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 10.12185466366748 " "
Order of pole = 170.46453630733663 " "
x[1] = 0.14659999999999834 " "
y[1] (analytic) = 2.0107844926380203 " "
y[1] (numeric) = 2.0107844926380176 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32512224400769870000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 9.919953946025851 " "
Order of pole = 166.56839066010073 " "
x[1] = 0.14669999999999833 " "
y[1] (analytic) = 2.010799263679935 " "
y[1] (numeric) = 2.010799263679932 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32511250985046010000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 9.726553227704503 " "
Order of pole = 162.8363160254647 " "
x[1] = 0.14679999999999832 " "
y[1] (analytic) = 2.0108140449401843 " "
y[1] (numeric) = 2.0108140449401817 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32510276910246940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 9.541127665222211 " "
Order of pole = 159.25818169026144 " "
x[1] = 0.1468999999999983 " "
y[1] (analytic) = 2.0108288364190705 " "
y[1] (numeric) = 2.010828836419068 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32509302176382180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 9.36319475276471 " "
Order of pole = 155.82467415783728 " "
x[1] = 0.1469999999999983 " "
y[1] (analytic) = 2.0108436381168957 " "
y[1] (numeric) = 2.010843638116893 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32508326783461170000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 9.192310137553326 " "
Order of pole = 152.5272163748314 " "
x[1] = 0.1470999999999983 " "
y[1] (analytic) = 2.0108584500339624 " "
y[1] (numeric) = 2.0108584500339597 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32507350731493470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 9.028063921815885 " "
Order of pole = 149.35789635051603 " "
x[1] = 0.14719999999999828 " "
y[1] (analytic) = 2.0108732721705733 " "
y[1] (numeric) = 2.0108732721705707 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32506374020488500000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 8.870077386773673 " "
Order of pole = 146.30940392204369 " "
x[1] = 0.14729999999999827 " "
y[1] (analytic) = 2.0108881045270315 " "
y[1] (numeric) = 2.010888104527029 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32505396650455830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 8.718000083405729 " "
Order of pole = 143.37497459935773 " "
x[1] = 0.14739999999999825 " "
y[1] (analytic) = 2.01090294710364 " "
y[1] (numeric) = 2.0109029471036375 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3250441862140490000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 8.571507242998463 " "
Order of pole = 140.5483395827113 " "
x[1] = 0.14749999999999824 " "
y[1] (analytic) = 2.0109177999007026 " "
y[1] (numeric) = 2.0109177999007 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32503439933345260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 8.430297467200838 " "
Order of pole = 137.82368117530146 " "
x[1] = 0.14759999999999823 " "
y[1] (analytic) = 2.0109326629185227 " "
y[1] (numeric) = 2.01093266291852 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32502460586286420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 8.294090662992593 " "
Order of pole = 135.19559292329947 " "
x[1] = 0.14769999999999822 " "
y[1] (analytic) = 2.010947536157404 " "
y[1] (numeric) = 2.0109475361574014 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32501480580237920000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 8.162626192845716 " "
Order of pole = 132.6590439096193 " "
x[1] = 0.1477999999999982 " "
y[1] (analytic) = 2.0109624196176505 " "
y[1] (numeric) = 2.010962419617648 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3250049991520930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 8.035661214294002 " "
Order of pole = 130.20934670370474 " "
x[1] = 0.1478999999999982 " "
y[1] (analytic) = 2.0109773132995663 " "
y[1] (numeric) = 2.010977313299564 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10416265492675050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 7.912969186739186 " "
Order of pole = 127.84212853937831 " "
x[1] = 0.1479999999999982 " "
y[1] (analytic) = 2.0109922172034564 " "
y[1] (numeric) = 2.0109922172034542 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10415447173541490000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 7.794338526082094 " "
Order of pole = 125.5533053460573 " "
x[1] = 0.14809999999999818 " "
y[1] (analytic) = 2.0110071313296256 " "
y[1] (numeric) = 2.011007131329623 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32497553966337970000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 7.679571390475561 " "
Order of pole = 123.33905831093207 " "
x[1] = 0.14819999999999817 " "
y[1] (analytic) = 2.011022055678378 " "
y[1] (numeric) = 2.0110220556783753 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32496570665484230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 7.568482582450715 " "
Order of pole = 121.19581268742081 " "
x[1] = 0.14829999999999816 " "
y[1] (analytic) = 2.0110369902500196 " "
y[1] (numeric) = 2.0110369902500165 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54578184489981100000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 7.4608985546494875 " "
Order of pole = 119.12021860346957 " "
x[1] = 0.14839999999999814 " "
y[1] (analytic) = 2.011051935044855 " "
y[1] (numeric) = 2.011051935044852 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54577035768153960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 7.356656507920320 " "
Order of pole = 117.10913365267842 " "
x[1] = 0.14849999999999813 " "
y[1] (analytic) = 2.01106689006319 " "
y[1] (numeric) = 2.011066890063187 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32493616809366940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 7.255603571934851 " "
Order of pole = 115.15960707827796 " "
x[1] = 0.14859999999999812 " "
y[1] (analytic) = 2.011081855305331 " "
y[1] (numeric) = 2.011081855305328 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54574736018314560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 7.157596059614527 " "
Order of pole = 113.26886538180847 " "
x[1] = 0.1486999999999981 " "
y[1] (analytic) = 2.011096830771583 " "
y[1] (numeric) = 2.01109683077158 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32491644277421130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 7.062498787772689 " "
Order of pole = 111.43429920991633 " "
x[1] = 0.1487999999999981 " "
y[1] (analytic) = 2.011111816462253 " "
y[1] (numeric) = 2.0111118164622503 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32490657023116700000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 6.970184457161284 " "
Order of pole = 109.65345138779671 " "
x[1] = 0.1488999999999981 " "
y[1] (analytic) = 2.0111268123776473 " "
y[1] (numeric) = 2.0111268123776447 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32489669109937340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 6.880533085995835 " "
Order of pole = 107.92400598489448 " "
x[1] = 0.14899999999999808 " "
y[1] (analytic) = 2.0111418185180723 " "
y[1] (numeric) = 2.0111418185180696 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32488680537892760000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 6.793431491610490 " "
Order of pole = 106.24377830962675 " "
x[1] = 0.14909999999999807 " "
y[1] (analytic) = 2.011156834883835 " "
y[1] (numeric) = 2.0111568348838325 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32487691306992480000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 6.7087728155808035 " "
Order of pole = 104.61070574313746 " "
x[1] = 0.14919999999999806 " "
y[1] (analytic) = 2.0111718614752427 " "
y[1] (numeric) = 2.01117186147524 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32486701417246140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 6.6264560880768775 " "
Order of pole = 103.02283933028755 " "
x[1] = 0.14929999999999805 " "
y[1] (analytic) = 2.0111868982926024 " "
y[1] (numeric) = 2.0111868982926 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32485710868663340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 6.546385827761765 " "
Order of pole = 101.47833605675437 " "
x[1] = 0.14939999999999803 " "
y[1] (analytic) = 2.011201945336222 " "
y[1] (numeric) = 2.0112019453362193 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32484719661253750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 6.46847167384511 " "
Order of pole = 99.97545174680047 " "
x[1] = 0.14949999999999802 " "
y[1] (analytic) = 2.0112170026064087 " "
y[1] (numeric) = 2.011217002606406 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32483727795027000000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 6.3926280473778965 " "
Order of pole = 98.5125345254673 " "
x[1] = 0.149599999999998 " "
y[1] (analytic) = 2.011232070103471 " "
y[1] (numeric) = 2.0112320701034685 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3248273526999270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 6.318773839057714 " "
Order of pole = 97.088018792482 " "
x[1] = 0.149699999999998 " "
y[1] (analytic) = 2.0112471478277167 " "
y[1] (numeric) = 2.0112471478277145 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10401451738467120000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 6.246832121187496 " "
Order of pole = 95.70041966238392 " "
x[1] = 0.149799999999998 " "
y[1] (analytic) = 2.011262235779455 " "
y[1] (numeric) = 2.0112622357794523 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32480748243540110000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 6.176729881624743 " "
Order of pole = 94.3483278291193 " "
x[1] = 0.14989999999999798 " "
y[1] (analytic) = 2.0112773339589936 " "
y[1] (numeric) = 2.011277333958991 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3247975374214110000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 6.108397777787132 " "
Order of pole = 93.03040481777096 " "
x[1] = 0.14999999999999797 " "
y[1] (analytic) = 2.0112924423666416 " "
y[1] (numeric) = 2.011292442366639 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3247875858197320000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 6.041769908969187 " "
Order of pole = 91.7453785897344 " "
x[1] = 0.15009999999999796 " "
y[1] (analytic) = 2.0113075610027082 " "
y[1] (numeric) = 2.0113075610027056 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32477762763046070000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 5.976783605417653 " "
Order of pole = 90.49203947137741 " "
x[1] = 0.15019999999999795 " "
y[1] (analytic) = 2.0113226898675025 " "
y[1] (numeric) = 2.0113226898675 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32476766285369360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 5.91337923271181 " "
Order of pole = 89.26923637811952 " "
x[1] = 0.15029999999999794 " "
y[1] (analytic) = 2.0113378289613344 " "
y[1] (numeric) = 2.0113378289613317 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32475769148952760000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 5.85150001019953 " "
Order of pole = 88.07587330982109 " "
x[1] = 0.15039999999999792 " "
y[1] (analytic) = 2.0113529782845134 " "
y[1] (numeric) = 2.0113529782845108 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32474771353805950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 5.7910918423045254 " "
Order of pole = 86.91090609461673 " "
x[1] = 0.1504999999999979 " "
y[1] (analytic) = 2.011368137837349 " "
y[1] (numeric) = 2.0113681378373465 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3247377289993870000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 5.732103161666436 " "
Order of pole = 85.77333936115014 " "
x[1] = 0.1505999999999979 " "
y[1] (analytic) = 2.0113833076201524 " "
y[1] (numeric) = 2.0113833076201497 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3247277378736058000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 5.674484783145289 " "
Order of pole = 84.66222372051682 " "
x[1] = 0.1506999999999979 " "
y[1] (analytic) = 2.0113984876332327 " "
y[1] (numeric) = 2.0113984876332305 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.1039314501340120000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 5.618189767826375 " "
Order of pole = 83.57665314123844 " "
x[1] = 0.15079999999999788 " "
y[1] (analytic) = 2.011413677876902 " "
y[1] (numeric) = 2.011413677876899 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32470773586110840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 5.5631732962430425 " "
Order of pole = 82.51576250216483 " "
x[1] = 0.15089999999999787 " "
y[1] (analytic) = 2.0114288783514693 " "
y[1] (numeric) = 2.0114288783514667 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32469772497458640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 5.509392550083756 " "
Order of pole = 81.478725309142 " "
x[1] = 0.15099999999999786 " "
y[1] (analytic) = 2.011444089057247 " "
y[1] (numeric) = 2.0114440890572443 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3246877075013450000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 5.456806601736406 " "
Order of pole = 80.46475156295755 " "
x[1] = 0.15109999999999785 " "
y[1] (analytic) = 2.011459309994546 " "
y[1] (numeric) = 2.0114593099945433 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32467768344148140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 5.405376311067742 " "
Order of pole = 79.47308576694103 " "
x[1] = 0.15119999999999784 " "
y[1] (analytic) = 2.0114745411636776 " "
y[1] (numeric) = 2.011474541163675 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3246676527950932000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 5.355064228896096 " "
Order of pole = 78.50300506376071 " "
x[1] = 0.15129999999999783 " "
y[1] (analytic) = 2.011489782564954 " "
y[1] (numeric) = 2.011489782564951 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32465761556227750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 5.305834506647182 " "
Order of pole = 77.55381749156801 " "
x[1] = 0.15139999999999781 " "
y[1] (analytic) = 2.011505034198686 " "
y[1] (numeric) = 2.0115050341986835 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3246475717431322000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 5.257652811741483 " "
Order of pole = 76.62486035077471 " "
x[1] = 0.1514999999999978 " "
y[1] (analytic) = 2.011520296065187 " "
y[1] (numeric) = 2.0115202960651843 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32463752133775450000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 5.2104862483006515 " "
Order of pole = 75.715498673501 " "
x[1] = 0.1515999999999978 " "
y[1] (analytic) = 2.0115355681647684 " "
y[1] (numeric) = 2.0115355681647658 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32462746434624270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 5.164303282766829 " "
Order of pole = 74.8251237878524 " "
x[1] = 0.15169999999999778 " "
y[1] (analytic) = 2.0115508504977435 " "
y[1] (numeric) = 2.011550850497741 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32461740076869340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 5.119073674108540 " "
Order of pole = 73.95315197073062 " "
x[1] = 0.15179999999999777 " "
y[1] (analytic) = 2.0115661430644245 " "
y[1] (numeric) = 2.011566143064422 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3246073306052050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 5.074768408259242 " "
Order of pole = 73.0990231823417 " "
x[1] = 0.15189999999999776 " "
y[1] (analytic) = 2.011581445865125 " "
y[1] (numeric) = 2.011581445865122 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32459725385587530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 5.031359636522307 " "
Order of pole = 72.26219987726914 " "
x[1] = 0.15199999999999775 " "
y[1] (analytic) = 2.0115967589001573 " "
y[1] (numeric) = 2.0115967589001547 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32458717052080200000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.98882061763866 " "
Order of pole = 71.44216588624218 " "
x[1] = 0.15209999999999774 " "
y[1] (analytic) = 2.011612082169836 " "
y[1] (numeric) = 2.011612082169833 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32457708060008300000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.9471256632788005 " "
Order of pole = 70.63842536400348 " "
x[1] = 0.15219999999999773 " "
y[1] (analytic) = 2.011627415674474 " "
y[1] (numeric) = 2.011627415674471 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32456698409381650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.906250086725842 " "
Order of pole = 69.85050179877182 " "
x[1] = 0.15229999999999771 " "
y[1] (analytic) = 2.011642759414385 " "
y[1] (numeric) = 2.011642759414382 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32455688100210020000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.866170154528656 " "
Order of pole = 69.07793707903375 " "
x[1] = 0.1523999999999977 " "
y[1] (analytic) = 2.0116581133898834 " "
y[1] (numeric) = 2.0116581133898808 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32454677132503220000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.826863040923514 " "
Order of pole = 68.32029061377352 " "
x[1] = 0.1524999999999977 " "
y[1] (analytic) = 2.011673477601284 " "
y[1] (numeric) = 2.0116734776012812 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32453665506271080000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.788306784861190 " "
Order of pole = 67.57713850299655 " "
x[1] = 0.15259999999999768 " "
y[1] (analytic) = 2.0116888520489007 " "
y[1] (numeric) = 2.011688852048898 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32452653221523410000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.750480249433129 " "
Order of pole = 66.84807275455765 " "
x[1] = 0.15269999999999767 " "
y[1] (analytic) = 2.0117042367330487 " "
y[1] (numeric) = 2.011704236733046 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32451640278270060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.713363083574618 " "
Order of pole = 66.13270054494292 " "
x[1] = 0.15279999999999766 " "
y[1] (analytic) = 2.011719631654042 " "
y[1] (numeric) = 2.01171963165404 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10375522230434040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.67693568588033 " "
Order of pole = 65.4306435208247 " "
x[1] = 0.15289999999999765 " "
y[1] (analytic) = 2.0117350368121976 " "
y[1] (numeric) = 2.011735036812195 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32449612416285580000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.6411791703958825 " "
Order of pole = 64.74153713875768 " "
x[1] = 0.15299999999999764 " "
y[1] (analytic) = 2.011750452207829 " "
y[1] (numeric) = 2.0117504522078264 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32448597497574150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.606075334277300 " "
Order of pole = 64.06503004093133 " "
x[1] = 0.15309999999999763 " "
y[1] (analytic) = 2.0117658778412535 " "
y[1] (numeric) = 2.0117658778412504 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5452217890712910000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.571606627172598 " "
Order of pole = 63.400783464161506 " "
x[1] = 0.15319999999999762 " "
y[1] (analytic) = 2.0117813137127856 " "
y[1] (numeric) = 2.0117813137127825 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5452099329888920000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.5377561222540415 " "
Order of pole = 62.74847068074591 " "
x[1] = 0.1532999999999976 " "
y[1] (analytic) = 2.011796759822742 " "
y[1] (numeric) = 2.011796759822739 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54519806922461530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.504507488762666 " "
Order of pole = 62.10777646850798 " "
x[1] = 0.1533999999999976 " "
y[1] (analytic) = 2.011812216171439 " "
y[1] (numeric) = 2.011812216171436 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5451861977785772000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.471844966004845 " "
Order of pole = 61.47839660887006 " "
x[1] = 0.15349999999999758 " "
y[1] (analytic) = 2.0118276827591925 " "
y[1] (numeric) = 2.01182768275919 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32443513027219320000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.439753338687165 " "
Order of pole = 60.860037410758 " "
x[1] = 0.15359999999999757 " "
y[1] (analytic) = 2.0118431595863204 " "
y[1] (numeric) = 2.0118431595863173 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54516243184167500000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.4082179135318835 " "
Order of pole = 60.252415259225074 " "
x[1] = 0.15369999999999756 " "
y[1] (analytic) = 2.0118586466531387 " "
y[1] (numeric) = 2.0118586466531356 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54515053735104240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.377224497076682 " "
Order of pole = 59.65525618693485 " "
x[1] = 0.15379999999999755 " "
y[1] (analytic) = 2.011874143959965 " "
y[1] (numeric) = 2.011874143959962 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5451386351791088000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.346759374599066 " "
Order of pole = 59.068295467352044 " "
x[1] = 0.15389999999999754 " "
y[1] (analytic) = 2.0118896515071163 " "
y[1] (numeric) = 2.011889651507113 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.545126725325990000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.316809290102518 " "
Order of pole = 58.491277228428785 " "
x[1] = 0.15399999999999753 " "
y[1] (analytic) = 2.0119051692949106 " "
y[1] (numeric) = 2.0119051692949075 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54511480779180170000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.287361427297069 " "
Order of pole = 57.92395408548505 " "
x[1] = 0.15409999999999752 " "
y[1] (analytic) = 2.0119206973236654 " "
y[1] (numeric) = 2.0119206973236623 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54510288257665940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.258403391512875 " "
Order of pole = 57.36608679209753 " "
x[1] = 0.1541999999999975 " "
y[1] (analytic) = 2.0119362355936996 " "
y[1] (numeric) = 2.011936235593696 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.76581822820648940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.229923192507084 " "
Order of pole = 56.81744390823228 " "
x[1] = 0.1542999999999975 " "
y[1] (analytic) = 2.0119517841053303 " "
y[1] (numeric) = 2.0119517841053267 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.76580458183311420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.201909228099540 " "
Order of pole = 56.27780148437492 " "
x[1] = 0.15439999999999748 " "
y[1] (analytic) = 2.0119673428588767 " "
y[1] (numeric) = 2.011967342858873 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.76579092668190250000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.1743502686015495 " "
Order of pole = 55.746942760969816 " "
x[1] = 0.15449999999999747 " "
y[1] (analytic) = 2.011982911854657 " "
y[1] (numeric) = 2.0119829118546537 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54505510490886370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.1472354419833755 " "
Order of pole = 55.224657882117455 " "
x[1] = 0.15459999999999746 " "
y[1] (analytic) = 2.011998491092991 " "
y[1] (numeric) = 2.0119984910929873 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.76576359004650020000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.120554219746162 " "
Order of pole = 54.71074362286899 " "
x[1] = 0.15469999999999745 " "
y[1] (analytic) = 2.012014080574197 " "
y[1] (numeric) = 2.0120140805741933 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.76574990856257470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.094296403463034 " "
Order of pole = 54.20500312943862 " "
x[1] = 0.15479999999999744 " "
y[1] (analytic) = 2.0120296802985944 " "
y[1] (numeric) = 2.012029680298591 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.76573621830134340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.068452111941234 " "
Order of pole = 53.70724567140215 " "
x[1] = 0.15489999999999743 " "
y[1] (analytic) = 2.012045290266503 " "
y[1] (numeric) = 2.0120452902665 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54500720435507170000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.043011768983257 " "
Order of pole = 53.21728640545828 " "
x[1] = 0.15499999999999742 " "
y[1] (analytic) = 2.012060910478243 " "
y[1] (numeric) = 2.01206091047824 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54499521001655730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 4.017966091708378 " "
Order of pole = 52.734946150006365 " "
x[1] = 0.1550999999999974 " "
y[1] (analytic) = 2.012076540934134 " "
y[1] (numeric) = 2.012076540934131 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5449832079982490000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.993306079408382 " "
Order of pole = 52.26005117003638 " "
x[1] = 0.1551999999999974 " "
y[1] (analytic) = 2.0120921816344963 " "
y[1] (numeric) = 2.012092181634493 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5449711983002630000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.9690230029044793 " "
Order of pole = 51.79243297169161 " "
x[1] = 0.15529999999999738 " "
y[1] (analytic) = 2.0121078325796504 " "
y[1] (numeric) = 2.0121078325796473 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54495918092271620000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.9451083943869065 " "
Order of pole = 51.33192810614992 " "
x[1] = 0.15539999999999737 " "
y[1] (analytic) = 2.012123493769917 " "
y[1] (numeric) = 2.0121234937699137 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54494715586572500000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.921554037701882 " "
Order of pole = 50.87837798213826 " "
x[1] = 0.15549999999999736 " "
y[1] (analytic) = 2.0121391652056166 " "
y[1] (numeric) = 2.0121391652056135 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54493512312940530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.898351959073431 " "
Order of pole = 50.43162868684267 " "
x[1] = 0.15559999999999735 " "
y[1] (analytic) = 2.0121548468870714 " "
y[1] (numeric) = 2.012154846887068 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7656263802444280000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.8754944182318374 " "
Order of pole = 49.991530814666746 " "
x[1] = 0.15569999999999734 " "
y[1] (analytic) = 2.012170538814601 " "
y[1] (numeric) = 2.012170538814598 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54491103461924960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.8529738999227634 " "
Order of pole = 49.55793930333667 " "
x[1] = 0.15579999999999733 " "
y[1] (analytic) = 2.012186240988529 " "
y[1] (numeric) = 2.012186240988526 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54489897884564660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.830783105795389 " "
Order of pole = 49.130713277324446 " "
x[1] = 0.15589999999999732 " "
y[1] (analytic) = 2.0122019534091757 " "
y[1] (numeric) = 2.0122019534091726 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54488691539318270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.808914946628907 " "
Order of pole = 48.70971589780028 " "
x[1] = 0.1559999999999973 " "
y[1] (analytic) = 2.012217676076864 " "
y[1] (numeric) = 2.012217676076861 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5448748442619750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.787362534895315 " "
Order of pole = 48.294814219077 " "
x[1] = 0.1560999999999973 " "
y[1] (analytic) = 2.0122334089919156 " "
y[1] (numeric) = 2.0122334089919125 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54486276545214020000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.7661191776383705 " "
Order of pole = 47.8858790511575 " "
x[1] = 0.15619999999999729 " "
y[1] (analytic) = 2.012249152154653 " "
y[1] (numeric) = 2.01224915215465 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54485067896379590000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.745178369648349 " "
Order of pole = 47.48278482799111 " "
x[1] = 0.15629999999999727 " "
y[1] (analytic) = 2.012264905565399 " "
y[1] (numeric) = 2.012264905565396 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54483858479705900000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.7245337869265986 " "
Order of pole = 47.08540948132443 " "
x[1] = 0.15639999999999726 " "
y[1] (analytic) = 2.0122806692244763 " "
y[1] (numeric) = 2.0122806692244737 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32413698538746850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.704179280417517 " "
Order of pole = 46.69363431971372 " "
x[1] = 0.15649999999999725 " "
y[1] (analytic) = 2.0122964431322083 " "
y[1] (numeric) = 2.0122964431322057 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32412660579617950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.684108870000969 " "
Order of pole = 46.30734391256429 " "
x[1] = 0.15659999999999724 " "
y[1] (analytic) = 2.0123122272889185 " "
y[1] (numeric) = 2.0123122272889153 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54480225622766480000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.6643167387297675 " "
Order of pole = 45.9264259789005 " "
x[1] = 0.15669999999999723 " "
y[1] (analytic) = 2.0123280216949295 " "
y[1] (numeric) = 2.0123280216949264 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54479013134853040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.644797227302113 " "
Order of pole = 45.55077128067079 " "
x[1] = 0.15679999999999722 " "
y[1] (analytic) = 2.012343826350566 " "
y[1] (numeric) = 2.012343826350563 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54477799879159000000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.6255448287553698 " "
Order of pole = 45.180273520324874 " "
x[1] = 0.1568999999999972 " "
y[1] (analytic) = 2.0123596412561517 " "
y[1] (numeric) = 2.0123596412561486 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54476585855696150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.606554183375718 " "
Order of pole = 44.814829242558474 " "
x[1] = 0.1569999999999972 " "
y[1] (analytic) = 2.012375466412011 " "
y[1] (numeric) = 2.0123754664120077 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54475371064476260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.5878200738092194 " "
Order of pole = 44.454337739945245 " "
x[1] = 0.1570999999999972 " "
y[1] (analytic) = 2.0123913018184676 " "
y[1] (numeric) = 2.0123913018184645 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54474155505511080000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.569337420363091 " "
Order of pole = 44.09870096223989 " "
x[1] = 0.15719999999999718 " "
y[1] (analytic) = 2.0124071474758467 " "
y[1] (numeric) = 2.0124071474758436 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5447293917881240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.551101276498204 " "
Order of pole = 43.74782342937344 " "
x[1] = 0.15729999999999716 " "
y[1] (analytic) = 2.012423003384473 " "
y[1] (numeric) = 2.01242300338447 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54471722084392030000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.533106824494206 " "
Order of pole = 43.40161214777973 " "
x[1] = 0.15739999999999715 " "
y[1] (analytic) = 2.0124388695446727 " "
y[1] (numeric) = 2.012438869544669 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.76537719111156180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.5153493712800774 " "
Order of pole = 43.05997652991503 " "
x[1] = 0.15749999999999714 " "
y[1] (analytic) = 2.012454745956769 " "
y[1] (numeric) = 2.012454745956766 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54469285592433230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.4978243444303367 " "
Order of pole = 42.722828316975665 " "
x[1] = 0.15759999999999713 " "
y[1] (analytic) = 2.0124706326210893 " "
y[1] (numeric) = 2.012470632621086 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54468066194918460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.4805272883137404 " "
Order of pole = 42.39008150455895 " "
x[1] = 0.15769999999999712 " "
y[1] (analytic) = 2.0124865295379584 " "
y[1] (numeric) = 2.0124865295379553 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54466846029729180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.4634538603848246 " "
Order of pole = 42.061652271080845 " "
x[1] = 0.1577999999999971 " "
y[1] (analytic) = 2.0125024367077025 " "
y[1] (numeric) = 2.0125024367076993 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54465625096877220000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.4465998276203096 " "
Order of pole = 41.73745890899069 " "
x[1] = 0.1578999999999971 " "
y[1] (analytic) = 2.012518354130648 " "
y[1] (numeric) = 2.012518354130645 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54464403396374380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.4299610630880903 " "
Order of pole = 41.417421758544265 " "
x[1] = 0.1579999999999971 " "
y[1] (analytic) = 2.012534281807121 " "
y[1] (numeric) = 2.0125342818071177 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54463180928232550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.4135335426415008 " "
Order of pole = 41.1014631439954 " "
x[1] = 0.15809999999999708 " "
y[1] (analytic) = 2.012550219737448 " "
y[1] (numeric) = 2.0125502197374447 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54461957692463510000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.397313341743728 " "
Order of pole = 40.78950731230019 " "
x[1] = 0.15819999999999707 " "
y[1] (analytic) = 2.0125661679219564 " "
y[1] (numeric) = 2.012566167921953 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.765265527875190000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.381296632398206 " "
Order of pole = 40.48148037386545 " "
x[1] = 0.15829999999999705 " "
y[1] (analytic) = 2.0125821263609724 " "
y[1] (numeric) = 2.0125821263609693 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54459508918091320000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.365479680202059 " "
Order of pole = 40.17731024567395 " "
x[1] = 0.15839999999999704 " "
y[1] (analytic) = 2.0125980950548246 " "
y[1] (numeric) = 2.012598095054821 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.76523752433727840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.349858841502485 " "
Order of pole = 39.87692659639583 " "
x[1] = 0.15849999999999703 " "
y[1] (analytic) = 2.012614074003839 " "
y[1] (numeric) = 2.012614074003836 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54457057073352670000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.3344305606554916 " "
Order of pole = 39.58026079347569 " "
x[1] = 0.15859999999999702 " "
y[1] (analytic) = 2.012630063208345 " "
y[1] (numeric) = 2.012630063208342 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5445582999962560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.3191913673840387 " "
Order of pole = 39.28724585213827 " "
x[1] = 0.158699999999997 " "
y[1] (analytic) = 2.012646062668669 " "
y[1] (numeric) = 2.012646062668666 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54454602158342530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.304137874232759 " "
Order of pole = 38.997816386259146 " "
x[1] = 0.158799999999997 " "
y[1] (analytic) = 2.0126620723851403 " "
y[1] (numeric) = 2.012662072385137 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5445337354951538000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.2892667741102475 " "
Order of pole = 38.71190856092471 " "
x[1] = 0.158899999999997 " "
y[1] (analytic) = 2.0126780923580867 " "
y[1] (numeric) = 2.0126780923580836 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.544521441731560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.2745748379195145 " "
Order of pole = 38.429460046694246 " "
x[1] = 0.15899999999999698 " "
y[1] (analytic) = 2.012694122587837 " "
y[1] (numeric) = 2.012694122587834 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54450914029276380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.2600589122733665 " "
Order of pole = 38.15040997550196 " "
x[1] = 0.15909999999999697 " "
y[1] (analytic) = 2.01271016307472 " "
y[1] (numeric) = 2.012710163074717 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5444968311788831000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.245715917286607 " "
Order of pole = 37.87469889804071 " "
x[1] = 0.15919999999999696 " "
y[1] (analytic) = 2.012726213819065 " "
y[1] (numeric) = 2.012726213819062 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5444845143900380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.231542844448096 " "
Order of pole = 37.602268742688146 " "
x[1] = 0.15929999999999694 " "
y[1] (analytic) = 2.012742274821201 " "
y[1] (numeric) = 2.0127422748211976 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.76511107420153970000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.217536754563571 " "
Order of pole = 37.33306277579799 " "
x[1] = 0.15939999999999693 " "
y[1] (analytic) = 2.0127583460814575 " "
y[1] (numeric) = 2.012758346081454 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.76509698032906340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.2036947757712073 " "
Order of pole = 37.06702556339594 " "
x[1] = 0.15949999999999692 " "
y[1] (analytic) = 2.0127744276001645 " "
y[1] (numeric) = 2.012774427600161 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7650828776856080000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.1900141016247745 " "
Order of pole = 36.80410293418009 " "
x[1] = 0.1595999999999969 " "
y[1] (analytic) = 2.0127905193776514 " "
y[1] (numeric) = 2.012790519377648 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.76506876627131020000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.176491989239614 " "
Order of pole = 36.54424194373361 " "
x[1] = 0.1596999999999969 " "
y[1] (analytic) = 2.012806621414249 " "
y[1] (numeric) = 2.0128066214142453 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.76505464608630620000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.1631257575054024 " "
Order of pole = 36.2873908400274 " "
x[1] = 0.1597999999999969 " "
y[1] (analytic) = 2.0128227337102875 " "
y[1] (numeric) = 2.0128227337102835 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.98567058177207430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.149912785355024 " "
Order of pole = 36.03349903000484 " "
x[1] = 0.15989999999999688 " "
y[1] (analytic) = 2.012838856266097 " "
y[1] (numeric) = 2.0128388562660935 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7650263794047272000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.1368505100929256 " "
Order of pole = 35.78251704731514 " "
x[1] = 0.15999999999999687 " "
y[1] (analytic) = 2.012854989082009 " "
y[1] (numeric) = 2.0128549890820056 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.76501223290842530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.1239364257798052 " "
Order of pole = 35.53439652113438 " "
x[1] = 0.16009999999999686 " "
y[1] (analytic) = 2.0128711321583546 " "
y[1] (numeric) = 2.012871132158351 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.76499807764196460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.1111680816701606 " "
Order of pole = 35.289090146006366 " "
x[1] = 0.16019999999999684 " "
y[1] (analytic) = 2.0128872854954647 " "
y[1] (numeric) = 2.012887285495461 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.76498391360548230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.0985430806985623 " "
Order of pole = 35.046551652623755 " "
x[1] = 0.16029999999999683 " "
y[1] (analytic) = 2.0129034490936704 " "
y[1] (numeric) = 2.0129034490936673 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54434852319922630000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.0860590780199773 " "
Order of pole = 34.80673577965339 " "
x[1] = 0.16039999999999682 " "
y[1] (analytic) = 2.0129196229533046 " "
y[1] (numeric) = 2.012919622953301 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.76495555922300040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.073713779594754 " "
Order of pole = 34.56959824642301 " "
x[1] = 0.1604999999999968 " "
y[1] (analytic) = 2.012935807074698 " "
y[1] (numeric) = 2.0129358070746948 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54432369776761600000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.0615049408189274 " "
Order of pole = 34.33509572648283 " "
x[1] = 0.1605999999999968 " "
y[1] (analytic) = 2.0129520014581836 " "
y[1] (numeric) = 2.01295200145818 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.76492716976207720000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.049430365201088 " "
Order of pole = 34.10318582206623 " "
x[1] = 0.1606999999999968 " "
y[1] (analytic) = 2.0129682061040937 " "
y[1] (numeric) = 2.01296820610409 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.76491296187754330000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.037487903078652 " "
Order of pole = 33.873827039310534 " "
x[1] = 0.16079999999999678 " "
y[1] (analytic) = 2.01298442101276 " "
y[1] (numeric) = 2.012984421012757 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5442864020708350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.025675450376564 " "
Order of pole = 33.64697876429708 " "
x[1] = 0.16089999999999677 " "
y[1] (analytic) = 2.0130006461845165 " "
y[1] (numeric) = 2.0130006461845134 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54427395482589160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.013990947405415 " "
Order of pole = 33.42260123985224 " "
x[1] = 0.16099999999999676 " "
y[1] (analytic) = 2.013016881619696 " "
y[1] (numeric) = 2.0130168816196927 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.544261499908140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 3.002432377695877 " "
Order of pole = 33.20065554304885 " "
x[1] = 0.16109999999999675 " "
y[1] (analytic) = 2.0130331273186313 " "
y[1] (numeric) = 2.013033127318628 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54424903731770150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.990997766873499 " "
Order of pole = 32.98110356348802 " "
x[1] = 0.16119999999999673 " "
y[1] (analytic) = 2.013049383281656 " "
y[1] (numeric) = 2.0130493832816527 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54423656705469650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.9796851815623904 " "
Order of pole = 32.76390798213655 " "
x[1] = 0.16129999999999672 " "
y[1] (analytic) = 2.013065649509104 " "
y[1] (numeric) = 2.013065649509101 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54422408911924550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.9684927283287577 " "
Order of pole = 32.54903225093548 " "
x[1] = 0.1613999999999967 " "
y[1] (analytic) = 2.013081926001309 " "
y[1] (numeric) = 2.013081926001306 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5442116035114692000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.957418552652823 " "
Order of pole = 32.33644057295529 " "
x[1] = 0.1614999999999967 " "
y[1] (analytic) = 2.0130982127586057 " "
y[1] (numeric) = 2.0130982127586026 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54419911023148840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.9464608379363137 " "
Order of pole = 32.12609788323851 " "
x[1] = 0.1615999999999967 " "
y[1] (analytic) = 2.0131145097813277 " "
y[1] (numeric) = 2.0131145097813246 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5441866092794240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.935617804535723 " "
Order of pole = 31.917969830139008 " "
x[1] = 0.16169999999999668 " "
y[1] (analytic) = 2.0131308170698103 " "
y[1] (numeric) = 2.0131308170698072 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54417410065539660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.924887708828238 " "
Order of pole = 31.712022757292388 " "
x[1] = 0.16179999999999667 " "
y[1] (analytic) = 2.0131471346243877 " "
y[1] (numeric) = 2.013147134624385 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32356707230816700000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.9142688423049683 " "
Order of pole = 31.508223686113197 " "
x[1] = 0.16189999999999666 " "
y[1] (analytic) = 2.0131634624453953 " "
y[1] (numeric) = 2.0131634624453927 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32355633747880420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.903759530690331 " "
Order of pole = 31.306540298796797 " "
x[1] = 0.16199999999999665 " "
y[1] (analytic) = 2.0131798005331687 " "
y[1] (numeric) = 2.013179800533166 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32354559607378460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.893358133090294 " "
Order of pole = 31.106940921878774 " "
x[1] = 0.16209999999999664 " "
y[1] (analytic) = 2.013196148888043 " "
y[1] (numeric) = 2.01319614888804 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5441239894420810000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.883063041162155 " "
Order of pole = 30.909394510209303 " "
x[1] = 0.16219999999999662 " "
y[1] (analytic) = 2.0132125075103535 " "
y[1] (numeric) = 2.0132125075103504 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5441114424600560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.872872678314367 " "
Order of pole = 30.713870631508534 " "
x[1] = 0.1622999999999966 " "
y[1] (analytic) = 2.0132288764004365 " "
y[1] (numeric) = 2.013228876400434 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32351333240582490000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.862785498923495 " "
Order of pole = 30.52033945125134 " "
x[1] = 0.1623999999999966 " "
y[1] (analytic) = 2.0132452555586284 " "
y[1] (numeric) = 2.0132452555586258 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32350256469921740000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.852799987579194 " "
Order of pole = 30.328771718093932 " "
x[1] = 0.1624999999999966 " "
y[1] (analytic) = 2.0132616449852656 " "
y[1] (numeric) = 2.0132616449852625 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54407375548705150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.8429146583491045 " "
Order of pole = 30.13913874968477 " "
x[1] = 0.16259999999999658 " "
y[1] (analytic) = 2.013278044680684 " "
y[1] (numeric) = 2.013278044680681 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54406117782081200000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.8331280540654338 " "
Order of pole = 29.951412418893625 " "
x[1] = 0.16269999999999657 " "
y[1] (analytic) = 2.013294454645221 " "
y[1] (numeric) = 2.013294454645218 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54404859248382240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.823438745632325 " "
Order of pole = 29.76556514044242 " "
x[1] = 0.16279999999999656 " "
y[1] (analytic) = 2.0133108748792137 " "
y[1] (numeric) = 2.0133108748792106 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54403599947620460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.8138453313512373 " "
Order of pole = 29.58156985788301 " "
x[1] = 0.16289999999999655 " "
y[1] (analytic) = 2.013327305382999 " "
y[1] (numeric) = 2.013327305382996 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.544023398798080000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.8043464362704666 " "
Order of pole = 29.399400031042205 " "
x[1] = 0.16299999999999654 " "
y[1] (analytic) = 2.013343746156915 " "
y[1] (numeric) = 2.0133437461569117 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54401079044957100000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.794940711547604 " "
Order of pole = 29.21902962371501 " "
x[1] = 0.16309999999999653 " "
y[1] (analytic) = 2.013360197201298 " "
y[1] (numeric) = 2.0133601972012953 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32342700665497080000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.785626833834084 " "
Order of pole = 29.040433091785474 " "
x[1] = 0.16319999999999651 " "
y[1] (analytic) = 2.0133766585164876 " "
y[1] (numeric) = 2.0133766585164845 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54398555074188680000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.776403504673777 " "
Order of pole = 28.863585371617503 " "
x[1] = 0.1632999999999965 " "
y[1] (analytic) = 2.0133931301028207 " "
y[1] (numeric) = 2.013393130102818 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32340535947110450000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.767269449922227 " "
Order of pole = 28.68846186884545 " "
x[1] = 0.1633999999999965 " "
y[1] (analytic) = 2.0134096119606366 " "
y[1] (numeric) = 2.013409611960634 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3233945260178230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.758223419179378 " "
Order of pole = 28.515038447424082 " "
x[1] = 0.16349999999999648 " "
y[1] (analytic) = 2.0134261040902732 " "
y[1] (numeric) = 2.0134261040902706 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32338368599044940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.7492641852382014 " "
Order of pole = 28.34329141898565 " "
x[1] = 0.16359999999999647 " "
y[1] (analytic) = 2.01344260649207 " "
y[1] (numeric) = 2.013442606492067 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32337283938908760000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.7403905435507583 " "
Order of pole = 28.173197532534026 " "
x[1] = 0.16369999999999646 " "
y[1] (analytic) = 2.0134591191663653 " "
y[1] (numeric) = 2.0134591191663627 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32336198621384300000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.73160131170614 " "
Order of pole = 28.004733964367404 " "
x[1] = 0.16379999999999645 " "
y[1] (analytic) = 2.013475642113499 " "
y[1] (numeric) = 2.0134756421134963 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.323351126464820000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.7228953289246944 " "
Order of pole = 27.8378783083157 " "
x[1] = 0.16389999999999644 " "
y[1] (analytic) = 2.01349217533381 " "
y[1] (numeric) = 2.0134921753338073 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32334026014212430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.714271455566191 " "
Order of pole = 27.672608566247426 " "
x[1] = 0.16399999999999643 " "
y[1] (analytic) = 2.013508718827638 " "
y[1] (numeric) = 2.0135087188276355 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32332938724586000000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.7057285726492255 " "
Order of pole = 27.50890313879239 " "
x[1] = 0.16409999999999642 " "
y[1] (analytic) = 2.0135252725953237 " "
y[1] (numeric) = 2.013525272595321 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32331850777613340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.6972655813861275 " "
Order of pole = 27.34674081636485 " "
x[1] = 0.1641999999999964 " "
y[1] (analytic) = 2.0135418366372067 " "
y[1] (numeric) = 2.013541836637204 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32330762173304800000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.688881402728902 " "
Order of pole = 27.18610077039883 " "
x[1] = 0.1642999999999964 " "
y[1] (analytic) = 2.0135584109536273 " "
y[1] (numeric) = 2.0135584109536246 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32329672911671030000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.68057497692812 " "
Order of pole = 27.026962544833893 " "
x[1] = 0.16439999999999638 " "
y[1] (analytic) = 2.013574995544926 " "
y[1] (numeric) = 2.0135749955449236 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10273819160602100000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.672345263103016 " "
Order of pole = 26.869306047816835 " "
x[1] = 0.16449999999999637 " "
y[1] (analytic) = 2.013591590411444 " "
y[1] (numeric) = 2.0135915904114414 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3232749241646970000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.664191238823678 " "
Order of pole = 26.713111543637126 " "
x[1] = 0.16459999999999636 " "
y[1] (analytic) = 2.013608195553522 " "
y[1] (numeric) = 2.0136081955535197 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.1027200098576939000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.656111899703138 " "
Order of pole = 26.558359644853134 " "
x[1] = 0.16469999999999635 " "
y[1] (analytic) = 2.0136248109715016 " "
y[1] (numeric) = 2.0136248109714994 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10271091076744710000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.6481062590022066 " "
Order of pole = 26.40503130466474 " "
x[1] = 0.16479999999999634 " "
y[1] (analytic) = 2.0136414366657243 " "
y[1] (numeric) = 2.013641436665722 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10270180619992840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.64017334724207 " "
Order of pole = 26.253107809435292 " "
x[1] = 0.16489999999999633 " "
y[1] (analytic) = 2.0136580726365314 " "
y[1] (numeric) = 2.013658072636529 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10269269615522620000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.632312211829229 " "
Order of pole = 26.102570771452115 " "
x[1] = 0.16499999999999632 " "
y[1] (analytic) = 2.013674718884265 " "
y[1] (numeric) = 2.0136747188842627 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10268358063342810000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.6245219166891696 " "
Order of pole = 25.953402121855653 " "
x[1] = 0.1650999999999963 " "
y[1] (analytic) = 2.0136913754092673 " "
y[1] (numeric) = 2.013691375409265 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10267445963462220000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.6168015419107156 " "
Order of pole = 25.805584103774763 " "
x[1] = 0.1651999999999963 " "
y[1] (analytic) = 2.0137080422118805 " "
y[1] (numeric) = 2.0137080422118783 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10266533315889690000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.6091501833957906 " "
Order of pole = 25.659099265565487 " "
x[1] = 0.16529999999999628 " "
y[1] (analytic) = 2.0137247192924477 " "
y[1] (numeric) = 2.0137247192924455 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10265620120633970000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.6015669525246587 " "
Order of pole = 25.51393045435065 " "
x[1] = 0.16539999999999627 " "
y[1] (analytic) = 2.013741406651311 " "
y[1] (numeric) = 2.013741406651309 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.82117651021631500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.594050975823474 " "
Order of pole = 25.370060809601902 " "
x[1] = 0.16549999999999626 " "
y[1] (analytic) = 2.013758104288814 " "
y[1] (numeric) = 2.013758104288812 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10263792087108380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.586601394642481 " "
Order of pole = 25.227473756928156 " "
x[1] = 0.16559999999999625 " "
y[1] (analytic) = 2.0137748122052996 " "
y[1] (numeric) = 2.013774812205298 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.82103017990849200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.579217364845675 " "
Order of pole = 25.08615300208624 " "
x[1] = 0.16569999999999624 " "
y[1] (analytic) = 2.013791530401112 " "
y[1] (numeric) = 2.01379153040111 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.82095694903648500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.5718980565022553 " "
Order of pole = 24.946082525024245 " "
x[1] = 0.16579999999999623 " "
y[1] (analytic) = 2.013808258876594 " "
y[1] (numeric) = 2.013808258876592 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.82088367435335600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.5646426535907043 " "
Order of pole = 24.807246574170016 " "
x[1] = 0.16589999999999622 " "
y[1] (analytic) = 2.01382499763209 " "
y[1] (numeric) = 2.013824997632088 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.82081035585981400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.5574503537071283 " "
Order of pole = 24.66962966080115 " "
x[1] = 0.1659999999999962 " "
y[1] (analytic) = 2.0138417466679437 " "
y[1] (numeric) = 2.013841746667942 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.82073699355656800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.550320367784337 " "
Order of pole = 24.533216553623184 " "
x[1] = 0.1660999999999962 " "
y[1] (analytic) = 2.0138585059845 " "
y[1] (numeric) = 2.0138585059844982 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.82066358744432300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.543251919814107 " "
Order of pole = 24.397992273408015 " "
x[1] = 0.16619999999999618 " "
y[1] (analytic) = 2.0138752755821034 " "
y[1] (numeric) = 2.0138752755821017 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.82059013752378900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.5362442465783883 " "
Order of pole = 24.263942087805823 " "
x[1] = 0.16629999999999617 " "
y[1] (analytic) = 2.0138920554610986 " "
y[1] (numeric) = 2.013892055461097 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.82051664379567500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.529296597387147 " "
Order of pole = 24.131051506284727 " "
x[1] = 0.16639999999999616 " "
y[1] (analytic) = 2.013908845621831 " "
y[1] (numeric) = 2.0139088456218293 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.8204431062606900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.522408233821864 " "
Order of pole = 23.999306275179777 " "
x[1] = 0.16649999999999615 " "
y[1] (analytic) = 2.0139256460646453 " "
y[1] (numeric) = 2.0139256460646435 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.82036952491954600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.5155784294860135 " "
Order of pole = 23.868692372876623 " "
x[1] = 0.16659999999999614 " "
y[1] (analytic) = 2.0139424567898874 " "
y[1] (numeric) = 2.0139424567898856 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.8202958997729510000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.508806469761625 " "
Order of pole = 23.739196005112646 " "
x[1] = 0.16669999999999613 " "
y[1] (analytic) = 2.0139592777979027 " "
y[1] (numeric) = 2.013959277797901 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.82022223082161400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.5020916515706046 " "
Order of pole = 23.61080360036977 " "
x[1] = 0.16679999999999612 " "
y[1] (analytic) = 2.013976109089038 " "
y[1] (numeric) = 2.0139761090890356 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.1025185647582811000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.4954332831426735 " "
Order of pole = 23.48350180539498 " "
x[1] = 0.1668999999999961 " "
y[1] (analytic) = 2.013992950663638 " "
y[1] (numeric) = 2.013992950663636 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10250934518844560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.4888306837898164 " "
Order of pole = 23.35727748084713 " "
x[1] = 0.1669999999999961 " "
y[1] (analytic) = 2.0140098025220503 " "
y[1] (numeric) = 2.014009802522048 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10250012014328450000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.482283183684752 " "
Order of pole = 23.23211769702064 " "
x[1] = 0.16709999999999608 " "
y[1] (analytic) = 2.0140266646646205 " "
y[1] (numeric) = 2.0140266646646188 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.81992711698309500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.4757901236443773 " "
Order of pole = 23.108009729665298 " "
x[1] = 0.16719999999999607 " "
y[1] (analytic) = 2.0140435370916965 " "
y[1] (numeric) = 2.0140435370916947 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.81985322901873100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.4693508549198007 " "
Order of pole = 22.984941055933646 " "
x[1] = 0.16729999999999606 " "
y[1] (analytic) = 2.014060419803625 " "
y[1] (numeric) = 2.014060419803623 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.81977929725389800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.462964738990233 " "
Order of pole = 22.862899350402436 " "
x[1] = 0.16739999999999605 " "
y[1] (analytic) = 2.0140773128007528 " "
y[1] (numeric) = 2.014077312800751 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.8197053216893110000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.456631147362911 " "
Order of pole = 22.741872481210983 " "
x[1] = 0.16749999999999604 " "
y[1] (analytic) = 2.014094216083428 " "
y[1] (numeric) = 2.014094216083426 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.102453912790710000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.4503494613759034 " "
Order of pole = 22.621848506254494 " "
x[1] = 0.16759999999999603 " "
y[1] (analytic) = 2.014111129651998 " "
y[1] (numeric) = 2.014111129651996 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.81955723916372400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.4441190720068913 " "
Order of pole = 22.502815669493188 " "
x[1] = 0.16769999999999602 " "
y[1] (analytic) = 2.014128053506811 " "
y[1] (numeric) = 2.0141280535068087 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10243539152551920000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.437939379687081 " "
Order of pole = 22.38476239736081 " "
x[1] = 0.167799999999996 " "
y[1] (analytic) = 2.0141449876482147 " "
y[1] (numeric) = 2.0141449876482125 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10242612268096090000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.431809794116298 " "
Order of pole = 22.267677295194623 " "
x[1] = 0.167899999999996 " "
y[1] (analytic) = 2.014161932076558 " "
y[1] (numeric) = 2.0141619320765556 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10241684836187960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.425729734086374 " "
Order of pole = 22.151549143827197 " "
x[1] = 0.16799999999999599 " "
y[1] (analytic) = 2.014178886792189 " "
y[1] (numeric) = 2.0141788867921866 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.1024075685683650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.4196986273059027 " "
Order of pole = 22.036366896203425 " "
x[1] = 0.16809999999999597 " "
y[1] (analytic) = 2.014195851795457 " "
y[1] (numeric) = 2.0141958517954546 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10239828330050650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.4137159102300485 " "
Order of pole = 21.922119674095505 " "
x[1] = 0.16819999999999596 " "
y[1] (analytic) = 2.014212827086711 " "
y[1] (numeric) = 2.0142128270867086 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10238899255839360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.4077810278941953 " "
Order of pole = 21.808796764892087 " "
x[1] = 0.16829999999999595 " "
y[1] (analytic) = 2.0142298126663 " "
y[1] (numeric) = 2.0142298126662976 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10237969634211620000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.4018934337499083 " "
Order of pole = 21.696387618431423 " "
x[1] = 0.16839999999999594 " "
y[1] (analytic) = 2.014246808534574 " "
y[1] (numeric) = 2.0142468085345717 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10237039465176340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.396052589508216 " "
Order of pole = 21.584881843977286 " "
x[1] = 0.16849999999999593 " "
y[1] (analytic) = 2.014263814691882 " "
y[1] (numeric) = 2.01426381469188 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10236108748742540000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.3902579649816866 " "
Order of pole = 21.474269207169655 " "
x[1] = 0.16859999999999592 " "
y[1] (analytic) = 2.0142808311385747 " "
y[1] (numeric) = 2.0142808311385725 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10235177484919180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.3845090379345804 " "
Order of pole = 21.36453962713322 " "
x[1] = 0.1686999999999959 " "
y[1] (analytic) = 2.014297857875002 " "
y[1] (numeric) = 2.014297857875 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10234245673715230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.378805293932389 " "
Order of pole = 21.255683173572315 " "
x[1] = 0.1687999999999959 " "
y[1] (analytic) = 2.0143148949015144 " "
y[1] (numeric) = 2.014314894901512 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10233313315139690000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.3731462261985627 " "
Order of pole = 21.14769006400624 " "
x[1] = 0.1688999999999959 " "
y[1] (analytic) = 2.0143319422184627 " "
y[1] (numeric) = 2.01433194221846 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32278856491041820000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.3675313354705643 " "
Order of pole = 21.040550660989986 " "
x[1] = 0.16899999999999588 " "
y[1] (analytic) = 2.014348999826197 " "
y[1] (numeric) = 2.0143489998261943 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3227773634709170000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.3619601298627253 " "
Order of pole = 20.934255469467686 " "
x[1] = 0.16909999999999586 " "
y[1] (analytic) = 2.014366067725069 " "
y[1] (numeric) = 2.0143660677250663 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32276615546328050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.3564321247296434 " "
Order of pole = 20.828795134135603 " "
x[1] = 0.16919999999999585 " "
y[1] (analytic) = 2.01438314591543 " "
y[1] (numeric) = 2.0143831459154273 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32275494088761660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.350946842532238 " "
Order of pole = 20.724160436856238 " "
x[1] = 0.16929999999999584 " "
y[1] (analytic) = 2.0144002343976313 " "
y[1] (numeric) = 2.0144002343976286 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32274371974403340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.345503812710476 " "
Order of pole = 20.620342294202587 " "
x[1] = 0.16939999999999583 " "
y[1] (analytic) = 2.0144173331720245 " "
y[1] (numeric) = 2.014417333172022 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32273249203263940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.340102571554638 " "
Order of pole = 20.517331754972652 " "
x[1] = 0.16949999999999582 " "
y[1] (analytic) = 2.0144344422389624 " "
y[1] (numeric) = 2.0144344422389593 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5431748007124660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.334742662080644 " "
Order of pole = 20.41511999778296 " "
x[1] = 0.1695999999999958 " "
y[1] (analytic) = 2.014451561598796 " "
y[1] (numeric) = 2.014451561598793 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5431616863913260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.329423633909938 " "
Order of pole = 20.31369832875029 " "
x[1] = 0.1696999999999958 " "
y[1] (analytic) = 2.0144686912518788 " "
y[1] (numeric) = 2.0144686912518757 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54314856440811900000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.3241450431490804 " "
Order of pole = 20.213058179167255 " "
x[1] = 0.1697999999999958 " "
y[1] (analytic) = 2.0144858311985625 " "
y[1] (numeric) = 2.01448583119856 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3226875155111179000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.318906452274574 " "
Order of pole = 20.113191103279497 " "
x[1] = 0.16989999999999578 " "
y[1] (analytic) = 2.014502981439201 " "
y[1] (numeric) = 2.014502981439198 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3226762549622930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.313707430018247 " "
Order of pole = 20.01408877607313 " "
x[1] = 0.16999999999999577 " "
y[1] (analytic) = 2.0145201419741463 " "
y[1] (numeric) = 2.0145201419741436 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32266498784630730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.3085475512554763 " "
Order of pole = 19.915742991116986 " "
x[1] = 0.17009999999999575 " "
y[1] (analytic) = 2.0145373128037525 " "
y[1] (numeric) = 2.01453731280375 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32265371416326970000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.3034263968970867 " "
Order of pole = 19.81814565847646 " "
x[1] = 0.17019999999999574 " "
y[1] (analytic) = 2.014554493928373 " "
y[1] (numeric) = 2.01455449392837 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32264243391328830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.2983435537822805 " "
Order of pole = 19.721288802646633 " "
x[1] = 0.17029999999999573 " "
y[1] (analytic) = 2.0145716853483617 " "
y[1] (numeric) = 2.0145716853483586 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.543069671612550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.2932986145732066 " "
Order of pole = 19.62516456051693 " "
x[1] = 0.17039999999999572 " "
y[1] (analytic) = 2.014588887064072 " "
y[1] (numeric) = 2.014588887064069 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32261985371292900000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.2882911776542287 " "
Order of pole = 19.529765179427287 " "
x[1] = 0.1704999999999957 " "
y[1] (analytic) = 2.0146060990758583 " "
y[1] (numeric) = 2.0146060990758556 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32260855376276940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.2833208470301005 " "
Order of pole = 19.43508301520214 " "
x[1] = 0.1705999999999957 " "
y[1] (analytic) = 2.0146233213840756 " "
y[1] (numeric) = 2.014623321384073 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32259724724610120000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.278387232229084 " "
Order of pole = 19.34111053028075 " "
x[1] = 0.1706999999999957 " "
y[1] (analytic) = 2.014640553989078 " "
y[1] (numeric) = 2.0146405539890755 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3225859341630330000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.2734899482067243 " "
Order of pole = 19.24784029185986 " "
x[1] = 0.17079999999999568 " "
y[1] (analytic) = 2.0146577968912207 " "
y[1] (numeric) = 2.014657796891218 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32257461451367500000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.2686286152514454 " "
Order of pole = 19.155264970071237 " "
x[1] = 0.17089999999999567 " "
y[1] (analytic) = 2.0146750500908586 " "
y[1] (numeric) = 2.014675050090856 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3225632882981350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.2638028588931807 " "
Order of pole = 19.06337733621828 " "
x[1] = 0.17099999999999566 " "
y[1] (analytic) = 2.014692313588347 " "
y[1] (numeric) = 2.0146923135883443 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32255195551652270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.259012309811837 " "
Order of pole = 18.97217026100879 " "
x[1] = 0.17109999999999564 " "
y[1] (analytic) = 2.0147095873840417 " "
y[1] (numeric) = 2.014709587384039 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32254061616894700000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.2542566037504375 " "
Order of pole = 18.881636712878837 " "
x[1] = 0.17119999999999563 " "
y[1] (analytic) = 2.0147268714782984 " "
y[1] (numeric) = 2.0147268714782958 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32252927025551750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.2495353814285077 " "
Order of pole = 18.791769756320917 " "
x[1] = 0.17129999999999562 " "
y[1] (analytic) = 2.014744165871473 " "
y[1] (numeric) = 2.01474416587147 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32251791777634330000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.2448482884557275 " "
Order of pole = 18.70256255021664 " "
x[1] = 0.1713999999999956 " "
y[1] (analytic) = 2.014761470563922 " "
y[1] (numeric) = 2.014761470563919 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5429243185201220000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.240194975251586 " "
Order of pole = 18.614008346286894 " "
x[1] = 0.1714999999999956 " "
y[1] (analytic) = 2.0147787855560013 " "
y[1] (numeric) = 2.014778785555998 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5429110586413972000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.235575096961143 " "
Order of pole = 18.526100487464717 " "
x[1] = 0.1715999999999956 " "
y[1] (analytic) = 2.014796110848068 " "
y[1] (numeric) = 2.014796110848065 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54289779110301920000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.23098831337804 " "
Order of pole = 18.438832406410256 " "
x[1] = 0.17169999999999558 " "
y[1] (analytic) = 2.0148134464404794 " "
y[1] (numeric) = 2.014813446440476 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.76329658960584720000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.2264342888639534 " "
Order of pole = 18.352197623955128 " "
x[1] = 0.17179999999999557 " "
y[1] (analytic) = 2.0148307923335915 " "
y[1] (numeric) = 2.0148307923335884 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54287123304781700000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.221912692273941 " "
Order of pole = 18.26618974766211 " "
x[1] = 0.17189999999999556 " "
y[1] (analytic) = 2.0148481485277627 " "
y[1] (numeric) = 2.0148481485277596 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5428579425312480000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.2174231968813385 " "
Order of pole = 18.180802470375397 " "
x[1] = 0.17199999999999555 " "
y[1] (analytic) = 2.01486551502335 " "
y[1] (numeric) = 2.014865515023347 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5428446443555380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.2129654803026204 " "
Order of pole = 18.096029568769673 " "
x[1] = 0.17209999999999553 " "
y[1] (analytic) = 2.014882891820712 " "
y[1] (numeric) = 2.0148828918207085 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.76323581545235920000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.208539224427636 " "
Order of pole = 18.01186490200432 " "
x[1] = 0.17219999999999552 " "
y[1] (analytic) = 2.0149002789202055 " "
y[1] (numeric) = 2.0149002789202024 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54281802502720600000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.204144115346854 " "
Order of pole = 17.928302410318246 " "
x[1] = 0.1722999999999955 " "
y[1] (analytic) = 2.0149176763221894 " "
y[1] (numeric) = 2.0149176763221863 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54280470387484100000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.1997798432844835 " "
Order of pole = 17.84533611373984 " "
x[1] = 0.1723999999999955 " "
y[1] (analytic) = 2.0149350840270226 " "
y[1] (numeric) = 2.0149350840270195 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5427913750638470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.1954461025286833 " "
Order of pole = 17.762960110739158 " "
x[1] = 0.1724999999999955 " "
y[1] (analytic) = 2.0149525020350634 " "
y[1] (numeric) = 2.0149525020350603 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54277803859435260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.191142591365333 " "
Order of pole = 17.681168576949602 " "
x[1] = 0.17259999999999548 " "
y[1] (analytic) = 2.01496993034667 " "
y[1] (numeric) = 2.0149699303466675 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32236973811413140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.186869012014685 " "
Order of pole = 17.599955763945893 " "
x[1] = 0.17269999999999547 " "
y[1] (analytic) = 2.014987368962203 " "
y[1] (numeric) = 2.0149873689622004 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3223582937260370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.1826250705649146 " "
Order of pole = 17.519315997960426 " "
x[1] = 0.17279999999999546 " "
y[1] (analytic) = 2.015004817882021 " "
y[1] (numeric) = 2.0150048178820184 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32234684277384440000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.1784104769108183 " "
Order of pole = 17.439243678700592 " "
x[1] = 0.17289999999999545 " "
y[1] (analytic) = 2.0150222771064836 " "
y[1] (numeric) = 2.015022277106481 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32233538525766300000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.1742249446925572 " "
Order of pole = 17.35973327816641 " "
x[1] = 0.17299999999999544 " "
y[1] (analytic) = 2.0150397466359506 " "
y[1] (numeric) = 2.015039746635948 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32232392117760400000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.170068191234437 " "
Order of pole = 17.280779339468566 " "
x[1] = 0.17309999999999542 " "
y[1] (analytic) = 2.015057226470782 " "
y[1] (numeric) = 2.0150572264707796 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10192704211148090000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.165939937486779 " "
Order of pole = 17.20237647570672 " "
x[1] = 0.1731999999999954 " "
y[1] (analytic) = 2.0150747166113385 " "
y[1] (numeric) = 2.015074716611336 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32230097332629220000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.1618399079671766 " "
Order of pole = 17.12451936883525 " "
x[1] = 0.1732999999999954 " "
y[1] (analytic) = 2.0150922170579797 " "
y[1] (numeric) = 2.0150922170579775 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10190790796271770000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.1577678307035733 " "
Order of pole = 17.04720276856463 " "
x[1] = 0.1733999999999954 " "
y[1] (analytic) = 2.0151097278110677 " "
y[1] (numeric) = 2.015109727811065 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32227799922079340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.1537234371799614 " "
Order of pole = 16.970421491313843 " "
x[1] = 0.17349999999999538 " "
y[1] (analytic) = 2.015127248870962 " "
y[1] (numeric) = 2.0151272488709595 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32226650232299930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.149706462279057 " "
Order of pole = 16.894170419102842 " "
x[1] = 0.17359999999999537 " "
y[1] (analytic) = 2.015144780238025 " "
y[1] (numeric) = 2.0151447802380225 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32225499886199030000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.145716644231307 " "
Order of pole = 16.81844449856932 " "
x[1] = 0.17369999999999536 " "
y[1] (analytic) = 2.0151623219126176 " "
y[1] (numeric) = 2.015162321912615 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32224348883787670000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.1417537245597105 " "
Order of pole = 16.74323873990265 " "
x[1] = 0.17379999999999535 " "
y[1] (analytic) = 2.015179873895101 " "
y[1] (numeric) = 2.0151798738950983 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32223197225076920000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.1378174480309173 " "
Order of pole = 16.668548215901104 " "
x[1] = 0.17389999999999534 " "
y[1] (analytic) = 2.015197436185838 " "
y[1] (numeric) = 2.015197436185835 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32222044910077830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.1339075626016237 " "
Order of pole = 16.594368060936034 " "
x[1] = 0.17399999999999533 " "
y[1] (analytic) = 2.0152150087851894 " "
y[1] (numeric) = 2.015215008785187 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32220891938801570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.130023819371041 " "
Order of pole = 16.520693470035248 " "
x[1] = 0.17409999999999531 " "
y[1] (analytic) = 2.0152325916935188 " "
y[1] (numeric) = 2.015232591693516 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32219738311259100000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.1261659725307176 " "
Order of pole = 16.447519697913947 " "
x[1] = 0.1741999999999953 " "
y[1] (analytic) = 2.015250184911188 " "
y[1] (numeric) = 2.0152501849111855 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32218584027461670000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.1223337793176764 " "
Order of pole = 16.374842058070634 " "
x[1] = 0.1742999999999953 " "
y[1] (analytic) = 2.01526778843856 " "
y[1] (numeric) = 2.0152677884385573 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32217429087420260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.1185269999661243 " "
Order of pole = 16.302655921854438 " "
x[1] = 0.17439999999999528 " "
y[1] (analytic) = 2.015285402275998 " "
y[1] (numeric) = 2.0152854022759947 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5425231907300370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.1147453976621944 " "
Order of pole = 16.230956717591916 " "
x[1] = 0.17449999999999527 " "
y[1] (analytic) = 2.0153030264238643 " "
y[1] (numeric) = 2.015303026423861 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54250970111758450000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.11098873849849 " "
Order of pole = 16.159739929709637 " "
x[1] = 0.17459999999999526 " "
y[1] (analytic) = 2.0153206608825234 " "
y[1] (numeric) = 2.0153206608825203 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54249620384934140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.107256791429457 " "
Order of pole = 16.089001097872725 " "
x[1] = 0.17469999999999525 " "
y[1] (analytic) = 2.0153383056523384 " "
y[1] (numeric) = 2.0153383056523353 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5424826989254380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.1035493282278317 " "
Order of pole = 16.018735816144122 " "
x[1] = 0.17479999999999524 " "
y[1] (analytic) = 2.015355960733673 " "
y[1] (numeric) = 2.01535596073367 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54246918634600400000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.0998661234412928 " "
Order of pole = 15.9489397321478 " "
x[1] = 0.17489999999999523 " "
y[1] (analytic) = 2.015373626126892 " "
y[1] (numeric) = 2.015373626126889 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54245566611116960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.096206954351475 " "
Order of pole = 15.8796085462781 " "
x[1] = 0.17499999999999521 " "
y[1] (analytic) = 2.0153913018323593 " "
y[1] (numeric) = 2.015391301832356 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5424421382210640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.092571600931511 " "
Order of pole = 15.810738010879646 " "
x[1] = 0.1750999999999952 " "
y[1] (analytic) = 2.015408987850439 " "
y[1] (numeric) = 2.0154089878504364 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32208165943641570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.088959845805768 " "
Order of pole = 15.74232392947038 " "
x[1] = 0.1751999999999952 " "
y[1] (analytic) = 2.015426684181497 " "
y[1] (numeric) = 2.0154266841814943 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32207005097905300000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.0853714742102016 " "
Order of pole = 15.674362155976297 " "
x[1] = 0.17529999999999518 " "
y[1] (analytic) = 2.0154443908258974 " "
y[1] (numeric) = 2.0154443908258948 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32205843596036460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.0818062739534047 " "
Order of pole = 15.606848593979791 " "
x[1] = 0.17539999999999517 " "
y[1] (analytic) = 2.015462107784006 " "
y[1] (numeric) = 2.015462107784003 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54238795011053860000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.078264035377499 " "
Order of pole = 15.539779195964414 " "
x[1] = 0.17549999999999516 " "
y[1] (analytic) = 2.0154798350561878 " "
y[1] (numeric) = 2.0154798350561847 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54237438394603220000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.0747445513210625 " "
Order of pole = 15.473149962599571 " "
x[1] = 0.17559999999999515 " "
y[1] (analytic) = 2.0154975726428086 " "
y[1] (numeric) = 2.0154975726428055 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54236081012703670000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.071247617081532 " "
Order of pole = 15.406956942014624 " "
x[1] = 0.17569999999999514 " "
y[1] (analytic) = 2.015515320544234 " "
y[1] (numeric) = 2.0155153205442313 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32201191027458530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.067773030379286 " "
Order of pole = 15.341196229105819 " "
x[1] = 0.17579999999999513 " "
y[1] (analytic) = 2.015533078760831 " "
y[1] (numeric) = 2.015533078760828 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54233363952610000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.064320591321807 " "
Order of pole = 15.27586396484449 " "
x[1] = 0.17589999999999512 " "
y[1] (analytic) = 2.0155508472929653 " "
y[1] (numeric) = 2.0155508472929626 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32198860806664600000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.0608901023680133 " "
Order of pole = 15.210956335588321 " "
x[1] = 0.1759999999999951 " "
y[1] (analytic) = 2.015568626141004 " "
y[1] (numeric) = 2.0155686261410013 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32197694712180500000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.057481368294132 " "
Order of pole = 15.146469572422895 " "
x[1] = 0.1760999999999951 " "
y[1] (analytic) = 2.015586415305313 " "
y[1] (numeric) = 2.0155864153053105 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3219652796165340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.054094196160167 " "
Order of pole = 15.082399950514471 " "
x[1] = 0.17619999999999508 " "
y[1] (analytic) = 2.0156042147862605 " "
y[1] (numeric) = 2.015604214786258 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.32195360555094370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.050728395275763 " "
Order of pole = 15.018743788450884 " "
x[1] = 0.17629999999999507 " "
y[1] (analytic) = 2.0156220245842134 " "
y[1] (numeric) = 2.0156220245842102 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54226557907933740000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.0473837771680863 " "
Order of pole = 14.955497447621681 " "
x[1] = 0.17639999999999506 " "
y[1] (analytic) = 2.0156398446995385 " "
y[1] (numeric) = 2.0156398446995354 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54225194402913070000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.0440601555495417 " "
Order of pole = 14.892657331595053 " "
x[1] = 0.17649999999999505 " "
y[1] (analytic) = 2.015657675132604 " "
y[1] (numeric) = 2.015657675132601 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54223830132561130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.040757346286086 " "
Order of pole = 14.830219885506182 " "
x[1] = 0.17659999999999504 " "
y[1] (analytic) = 2.015675515883778 " "
y[1] (numeric) = 2.015675515883775 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3219068436876380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.0374751673659963 " "
Order of pole = 14.768181595454209 " "
x[1] = 0.17669999999999503 " "
y[1] (analytic) = 2.0156933669534287 " "
y[1] (numeric) = 2.0156933669534256 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54221099295915930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.034213438869705 " "
Order of pole = 14.706538987920247 " "
x[1] = 0.17679999999999502 " "
y[1] (analytic) = 2.015711228341924 " "
y[1] (numeric) = 2.015711228341921 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5421973272964890000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.0309719829397577 " "
Order of pole = 14.645288629187462 " "
x[1] = 0.176899999999995 " "
y[1] (analytic) = 2.015729100049633 " "
y[1] (numeric) = 2.01572910004963 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54218365398103130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.0277506237506935 " "
Order of pole = 14.5844271247594 " "
x[1] = 0.176999999999995 " "
y[1] (analytic) = 2.0157469820769243 " "
y[1] (numeric) = 2.015746982076921 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54216997301291650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.0245491874814254 " "
Order of pole = 14.523951118827483 " "
x[1] = 0.17709999999999498 " "
y[1] (analytic) = 2.015764874424167 " "
y[1] (numeric) = 2.015764874424164 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54215628439227680000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.021367502285346 " "
Order of pole = 14.463857293693309 " "
x[1] = 0.17719999999999497 " "
y[1] (analytic) = 2.0157827770917307 " "
y[1] (numeric) = 2.0157827770917276 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54214258811924380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.018205398262822 " "
Order of pole = 14.404142369238066 " "
x[1] = 0.17729999999999496 " "
y[1] (analytic) = 2.0158006900799847 " "
y[1] (numeric) = 2.0158006900799816 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.54212888419394840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.015062707434015 " "
Order of pole = 14.344803102397933 " "
x[1] = 0.17739999999999495 " "
y[1] (analytic) = 2.015818613389299 " "
y[1] (numeric) = 2.0158186133892957 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5421151726165230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.0119392637116427 " "
Order of pole = 14.285836286638322 " "
x[1] = 0.17749999999999494 " "
y[1] (analytic) = 2.0158365470200432 " "
y[1] (numeric) = 2.0158365470200397 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.76240166101382660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.0088349028739496 " "
Order of pole = 14.227238751431948 " "
x[1] = 0.17759999999999493 " "
y[1] (analytic) = 2.0158544909725875 " "
y[1] (numeric) = 2.015854490972584 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.76238597314949370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Real estimate of pole used"
Radius of convergence = 2.005749462539526 " "
Order of pole = 14.169007361773204 " "
x[1] = 0.17769999999999492 " "
y[1] (analytic) = 2.0158724452473025 " "
y[1] (numeric) = 2.015872445247299 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.76237027654032070000000000000E-13 "%"
h = 1.0000E-4 " "
"Finished!"
"Maximum Time Reached before Solution Completed!"
"diff ( y , x , 1 ) = sin ( x ) / cos ( x ) ;"
Iterations = 777
"Total Elapsed Time "= 15 Minutes 0 Seconds
"Elapsed Time(since restart) "= 15 Minutes 0 Seconds
"Expected Time Remaining "= 2 Hours 38 Minutes 41 Seconds
"Optimized Time Remaining "= 2 Hours 38 Minutes 39 Seconds
"Time to Timeout " Unknown
Percent Done = 8.644444444443877 "%"
(%o51) true
(%o51) diffeq.max