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SOLUTIONS
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NUMERICAL DIFFERENTIAL EQUATION ANALYSIS 程序包 符号
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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