Function Repository Resource:

ButcherColumnConditions

Source Notebook

Give the column-simplifying conditions for Runge-Kutta methods

Contributed by: Wolfram Research

ResourceFunction["ButcherColumnConditions"][p,s]

gives the column-simplifying conditions up to and including order p for s stages.

ResourceFunction["ButcherColumnConditions"][p]

gives the column-simplifying conditions in stage-independent tensor notation.

Details and Options

The following option can be given:
"RungeKuttaMethod""Implicit"type of Runge-Kutta method
Valid settings for "RungeKuttaMethod" are "DiagonallyImplicit", "Explicit" and "Implicit".

Examples

Basic Examples (1) 

The column-simplifying conditions up to order 4:

In[1]:=
ResourceFunction["ButcherColumnConditions"][4]
Out[1]=

Version History

  • 1.0.0 – 04 November 2019

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