transiflow.TimeIntegration

class TimeIntegration(interface, theta=1.0, newton_tolerance=1e-10, maximum_newton_iterations=10, residual_check='F', verbose=False)

Bases: object

Time integration using the theta method.

Parameters:

interface

Interface object that implements the following functions: rhs(x), jacobian(x), mass_matrix() and solve(jac, rhs).

newton_tolerancescalar, optional

Tolerance used in the Newton corrector to determine convergence.

maximum_newton_iterationsint, optional

Maximum number of Newton iterations.

residual_check: str, optional

Method for checking the residual in the Newton method (default: ‘F’).

• F: Use the norm of the rhs(x) function.

• dx: Use the norm of the step dx.

verbosebool, optional

Give extra information about convergence. Since we have to compute this information, this may be slower.

integration(x0, dt, tmax, callback=None)

Perform the time integration.

Parameters:

x0array_like

Initial solution.

dtscalar

Time step.

tmaxscalar

End time.

callbackfunction, optional

User-supplied function to call after each continuation step. It is called as callback(interface, x, t).

Returns:

xarray_like

Solution at the end time

tscalar

End time

\[\]