Numerical Differential Equation Analysis Package Symbol

RungeKuttaOrderConditions

RungeKuttaOrderConditions[p, s]
gives a list of the order conditions that any s-stage Runge-Kutta method of order p must satisfy.

RungeKuttaOrderConditions[p]
gives the order conditions using stage independent tensor notation.

To use RungeKuttaOrderConditions, you first need to load the Numerical Differential Equation Analysis Package using Needs["NumericalDifferentialEquationAnalysis`"].

ButcherRowSum	False	whether to include row-sum conditions for
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.