Sun May 12 23:02:43 2024

lindberg_exact_test():
  python version: 3.10.12
  numpy version:  1.26.4
  lindberg_exact() evaluates the exact solution of the Lindberg ODE.

  Because of many overflows, underflows, and divides by zero
  we are simply going to suppress ALL warnings (sorry!)

  parameters:
    t0    =  0.0
    y0    =  [ 1.  1. -1.  0.]
    tstop =  3.91

lindberg_resid_test():
  Compute the residuals of the exact solution components
  of the Lindberg ODE.
  Report the reslative errors.

  Relative error in Y1, Y2, Y3, Y4 at selected T values:
[[ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]
 [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]
 [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]
 [ 0.00000000e+00  0.00000000e+00  0.00000000e+00 -8.50738203e-17]
 [ 0.00000000e+00  0.00000000e+00  0.00000000e+00 -7.75821428e-17]
 [ 0.00000000e+00  0.00000000e+00  0.00000000e+00 -3.30167549e-17]
 [ 0.00000000e+00  0.00000000e+00  0.00000000e+00 -5.73509897e-17]
 [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  1.99240418e-16]
 [ 0.00000000e+00            -inf  0.00000000e+00  1.27186589e-16]
 [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]
 [ 0.00000000e+00  0.00000000e+00  0.00000000e+00 -2.00576101e-16]
 [ 0.00000000e+00  0.00000000e+00 -3.61802033e-17  2.21712955e-16]
 [ 0.00000000e+00  0.00000000e+00 -3.43298354e-17  1.23559768e-16]
 [ 0.00000000e+00  0.00000000e+00  6.58883235e-17  1.38681826e-16]
 [ 0.00000000e+00  0.00000000e+00 -3.18856871e-17  7.82905677e-17]
 [ 0.00000000e+00  0.00000000e+00  1.55324161e-17 -8.88486412e-17]
 [ 0.00000000e+00  0.00000000e+00  6.08415154e-17  2.02561374e-16]
 [ 0.00000000e+00  0.00000000e+00  1.49553674e-17  0.00000000e+00]
 [ 0.00000000e+00  0.00000000e+00  1.47519610e-17 -3.99304783e-16]
 [ 0.00000000e+00  0.00000000e+00 -2.91775507e-17  4.59968391e-16]
 [ 0.00000000e+00  0.00000000e+00 -4.33717465e-17  4.42766667e-16]]

lindberg_plot_test():
  Plot the Lindberg ODE solution components.
  Graphics saved as "lindberg_exact_y1.png"
  Graphics saved as "lindberg_exact_y2.png"
  Graphics saved as "lindberg_exact_y3.png"
  Graphics saved as "lindberg_exact_y4.png"

lindberg_exact_test():
  Normal end of execution.
Sun May 12 23:02:44 2024