ButcherOrder[tree] gives the number of vertices in tree.

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[tree] gives True if tree is a valid Butcher tree, and False otherwise.

ButcherTrees[p] gives a list, partitioned by order, of the trees for any Runge\[Dash]Kutta method of order p.

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.

Exact global optimization problems can be solved exactly using Minimize and Maximize. This computes the radius of the circle, centered at the origin, circumscribed about the ...

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 ...