This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.1)

RungeKuttaOrderConditions


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.
  • The order conditions are grouped by order.
  • The following options can be given:
ButcherRowSumFalsewhether to include row-sum conditions for
ButcherSimplifyFalsewhether to use Butcher's assumptions
ContinuousExtension$ContinuousExtensionwhether to generate conditions for continuous extensions
RungeKuttaMethod$RungeKuttaMethodtype of Runge-Kutta method
  • If the option ButcherSimplify->True is selected, the number of stages must be a positive integer.