Wolfram Function Repository
Instant-use add-on functions for the Wolfram Language
Function Repository Resource:
Butcher
Give the quadrature conditions for Runge-Kutta methods
Contributed by:
Wolfram Research
ResourceFunction["ButcherQuadratureConditions"][p,s] gives the quadrature conditions up to and including order p for s stages. | |
ResourceFunction["ButcherQuadratureConditions"][p] gives the quadrature conditions in stage-independent tensor notation. |
Details and Options
The following option can be given:
| "ContinuousExtension" | False | whether to generate conditions for continuous extensions |
| "RungeKuttaMethod" | "Implicit" | type of Runge-Kutta method |
Valid settings for "RungeKuttaMethod" are "DiagonallyImplicit", "Explicit" and "Implicit".
Examples
Basic Examples (1)
The quadrature conditions up to order 4:
| In[1]:= | ![ResourceFunction["ButcherQuadratureConditions"][4]](https://www.wolframcloud.com/obj/resourcesystem/images/440/44061949-04ec-4280-8c02-549d3432f60a/515b3c26f0f8eda4.png){kind=small} |
| Out[1]= |  |
Related Links
- Tutorial: Numerical Differential Equation Analysis Package
- Guide: Numerical Differential Equation Analysis Package
Version History
- 1.0.0 – 06 November 2019
Related Resources
Related Symbols
License Information
This work is licensed under a Creative Commons Attribution 4.0 International License