Mon Jul 15 21:26:04 2024

midpoint_adaptive_test():
  python version: 3.10.12
  numpy version:  1.26.4
  Test midpoint_adaptive().

lotka_test():
  midpoint_adaptive() solves lotka_ode().
  A pair of ordinary differential equations for a population
  of predators and prey are solved using midpoint().

  The exact solution shows periodic behavior, with a fixed
  period and amplitude.

  Steady state at r = 5000, f = 2000.

  mad_compute(): count =  1738
  Graphics saved as "lotka_phase.png"
  Graphics saved as "lotka_solution.png"
  Graphics saved as "lotka_timestep.png"

mad_stats():

  Number of timesteps  1738
  Rejected timesteps   0
  First time interval is [ 0.0 , 0.025 ]
  Final time interval is [ 19.99748885028283 , 20.010126055068607 ]
  Minimum timestep is  0.0062788423742947685
  Maximum timestep is  0.04958458111346076

midpoint_adaptive_test():
  Normal end of execution.
Mon Jul 15 21:26:05 2024