cvode_with_preconditioning.py

assimulo.examples.cvode_with_preconditioning.run_example(with_plots=True)

Example to demonstrate the use of a preconditioner

\[\begin{split}\dot y_1 & = 2 t \sin y_1 + t \sin y_2 \\ \dot y_2 & = 3 t \sin y_1 + 2 t \sin y_2\end{split}\]

on return:

• exp_mod problem instance
• exp_sim solver instance

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Final Run Statistics: Example of using a preconditioner in SUNDIALS 

 Number of steps                                 : 62
 Number of function evaluations                  : 85
 Number of Jacobian*vector evaluations           : 75
 Number of function eval. due to Jacobian eval.  : 75
 Number of error test failures                   : 3
 Number of nonlinear iterations                  : 81
 Number of nonlinear convergence failures        : 0
 Number of pre-conditioner solves                : 139
 Number of pre-conditioner setups                : 2

Solver options:

 Solver                   : CVode
 Linear multistep method  : BDF
 Nonlinear solver         : Newton
 Linear solver type       : SPGMR
 Maximal order            : 5
 Tolerances (absolute)    : 1e-05
 Tolerances (relative)    : 1e-05

Simulation interval    : 0.0 - 5.0 seconds.
Elapsed simulation time: 0.00680184364319 seconds.

Note

Press [source] (to the top right) to view the example.