ButcherSimplify


is an option to RungeKuttaOrderConditions that specifies whether to apply Butcher's row- and column-simplifying conditions.

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  • To use , you first need to load the Numerical Differential Equation Analysis Package using Needs["NumericalDifferentialEquationAnalysis`"].
  • Butcher's row- and column-simplifying assumptions reduce the set of necessary and sufficient trees for an order p method with s stages.
  • For implicit methods, all trees are reduced to quadrature type together with subsidiary row- and column-simplifying conditions.
  • For explicit methods, the restriction for implies positivity of the weights . See the tutorial "Numerical Differential Equation Analysis Package" for more information.
  • Valid settings for are True and False.
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