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[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 is a global environment setting, specifying whether to generate conditions for continuous extensions of Runge\[Dash]Kutta methods.
$RungeKuttaMethod is a global environment setting, specifying the type of method to be generated by ButcherPhi and related functions.
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 ...