gives a list of the order conditions that any s-stage Runge–Kutta method of order p must satisfy.
gives the order conditions using stage-independent tensor notation.
Details and Options
- To use RungeKuttaOrderConditions, you first need to load the Numerical Differential Equation Analysis Package using Needs["NumericalDifferentialEquationAnalysis`"].
- The order conditions are grouped by order.
- The following options can be given:
ButcherRowSum False whether to include row-sum conditions for (see the tutorial "Numerical Differential Equation Analysis Package" for more information) ButcherSimplify False whether to use Butcher's assumptions ContinuousExtension $ContinuousExtension whether to generate conditions for continuous extensions RungeKuttaMethod $RungeKuttaMethod type of Runge–Kutta method
- If the option ButcherSimplify->True is selected, the number of stages must be a positive integer.