ButcherTreeSimplify[p, \[Eta], \[Xi]] gives the set of trees through order p that are not reduced by Butcher's quadrature conditions through order p, row-simplifying ...

Mathematica handles formulas of all types, from polynomials with millions of terms to complex combinations of higher mathematical functions. It provides powerful general ...

ButcherPlotLabel is an option to ButcherPlot that specifies a list of plot labels.

ButcherRowSum is an option to RungeKuttaOrderConditions that specifies whether the row\[Dash]sum conditions for the \[FormalC]_i should be added to the list of order ...

ContinuousExtension is an option to RungeKuttaOrderConditions and related functions that specifies whether to generate order conditions for continuous extensions of ...

DiagonallyImplicit is a setting for the option RungeKuttaMethod specifying the type of Runge\[Dash]Kutta method to be generated.

RungeKuttaMethod is an option to ButcherPhi and related functions that specifies the type of method to be generated.

LinearSolveFunction[dimensions, data] represents a function for providing solutions to a matrix equation.

LinearRecurrence[ker, init, n] gives the sequence of length n obtained by iterating the linear recurrence with kernel ker starting with initial values ...

Solving linear first-order ODEs is straightforward and only requires the use of a suitable integrating factor. In sharp contrast, there are a large number of methods ...