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ButcherHeight   (Numerical Differential Equation Analysis Package Symbol)
ButcherHeight[tree] gives the height of tree.
ButcherOrder   (Numerical Differential Equation Analysis Package Symbol)
ButcherOrder[tree] gives the number of vertices in tree.
ButcherSigma   (Numerical Differential Equation Analysis Package Symbol)
ButcherSigma[tree] gives the order of the symmetry group of isomorphisms of tree with itself.
ButcherTreeCount   (Numerical Differential Equation Analysis Package Symbol)
ButcherTreeCount[p] gives a list of the number of trees through order p.
ButcherTreeQ   (Numerical Differential Equation Analysis Package Symbol)
ButcherTreeQ[tree] gives True if tree is a valid Butcher tree, and False otherwise.
ButcherTrees   (Numerical Differential Equation Analysis Package Symbol)
ButcherTrees[p] gives a list, partitioned by order, of the trees for any Runge\[Dash]Kutta method of order p.
ButcherWidth   (Numerical Differential Equation Analysis Package Symbol)
ButcherWidth[tree] gives the width of tree.
$ContinuousExtension   (Numerical Differential Equation Analysis Package Symbol)
$ContinuousExtension is a global environment setting, specifying whether to generate conditions for continuous extensions of Runge\[Dash]Kutta methods.
$RungeKuttaMethod   (Numerical Differential Equation Analysis Package Symbol)
$RungeKuttaMethod is a global environment setting, specifying the type of method to be generated by ButcherPhi and related functions.
Overview of Higher-Order ODEs   (Mathematica Tutorial)
The general form of an ODE with order n is As in the case of second-order ODEs, such an ODE can be classified as linear or nonlinear. The general form of a linear ODE of ...
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