# cvode_with_jac_sparse.py¶

assimulo.examples.cvode_with_jac_sparse.run_example(with_plots=True)[source]

Example for demonstrating the use of a user supplied Jacobian (sparse). Note that this will only work if Assimulo has been configured with Sundials + SuperLU. Based on the SUNDIALS example cvRoberts_sps.c

ODE:

$\begin{split}\dot y_1 &= -0.04y_1 + 1e4 y_2 y_3 \\ \dot y_2 &= - \dot y_1 - \dot y_3 \\ \dot y_3 &= 3e7 y_2^2\end{split}$

on return:

• exp_mod problem instance
• exp_sim solver instance

Final Run Statistics: Example using analytic (sparse) Jacobian

Number of steps                                 : 57
Number of function evaluations                  : 88
Number of Jacobian evaluations                  : 2
Number of function eval. due to Jacobian eval.  : 0
Number of error test failures                   : 3
Number of nonlinear iterations                  : 84
Number of nonlinear convergence failures        : 0

Solver options:

Solver                   : CVode
Linear multistep method  : BDF
Nonlinear solver         : Newton
Linear solver type       : SPARSE
Maximal order            : 5
Tolerances (absolute)    : [  1.00000000e-08   1.00000000e-14   1.00000000e-06]
Tolerances (relative)    : 0.0001

Simulation interval    : 0.0 - 0.4 seconds.
Elapsed simulation time: 0.027547121048 seconds.


Note

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