PerturbedSplittingParameters¶

About the `PerturbedSplittingParameters` class¶

The WaveBlocks Project

class WaveBlocksND.PerturbedSplittingParameters[source]¶

build(method)[source]¶

Parameters:	method – A string specifying the method for time integration.
Returns:	Two arrays $a$ and $b$ .

Method	Order	Authors	Reference
L42	(4,2)	McLachlan	[1] page 6
L62	(6,2)	McLachlan	[1] page 6
L82	(8,2)	McLachlan	[1] page 6
L102	(10,2)	McLachlan	[1] page 6
L84	(8,4)	McLachlan	[1] page 8

[1]	(1, 2, 3, 4, 5) R.I. McLachlan, “Composition methods in the presence of small parameters”, BIT Numerical Mathematics, Volume 35, Issue 2, (1995) 258-268. There is also a 2003 version which was used for the implementation.

intsplit(psia, psib, a, b, tspan, N, argsa=[], argsb=[])[source]¶

Compute a single, full propagation step by operator splitting.

Parameters:	psia – First evolution operator $\Psi_a$ psib – Second evolution operator $\Psi_b$ a – Parameters for evolution with $\Psi_a$ b – Parameters for evolution with $\Psi_b$ tspan – Timespan $t$ of a single, full splitting step N – Number of substeps to perform argsa – Additional optional arguments of $\Psi_a$ argsb – Additional optional arguments of $\Psi_b$

Note

The values for argsa and argsb have to be of type list even in case of single items.