ButcherRowConditions (Numerical Differential Equation Analysis Package Symbol)

ButcherRowConditions[p, s] gives the row-simplifying conditions up to and including order p for s stages. ButcherRowConditions[p] gives the row-simplifying conditions in ...

ButcherTreeSimplify (Numerical Differential Equation Analysis Package Symbol)

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 ...

RectangleChart (Built-in Mathematica Symbol)

RectangleChart[{{x_1, y_1}, {x_2, y_2}, ...}] makes a rectangle chart with bars of width x_i and height y_i. RectangleChart[{..., w_i[{x_i, y_i}, ...], ..., w_j[{x_i, y_j}, ...

Numerical Examples (Library Link Tutorial)

The functions accessible with Wolfram LibraryLink make it possible to optimize numerical computations while still keeping the flexibility and generality of Mathematica. If ...

Representing XML in Mathematica (XML Package Tutorial)

Mathematica includes comprehensive support for XML, the meta-markup language developed by the World Wide Web Consortium (W3C) for describing structured documents and data. ...

ButcherRowSum (Numerical Differential Equation Analysis Package Symbol)

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 (Numerical Differential Equation Analysis Package Symbol)

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

DiagonallyImplicit (Numerical Differential Equation Analysis Package Symbol)

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

RungeKuttaMethod (Numerical Differential Equation Analysis Package Symbol)

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

AlgebraicNumberDenominator (Built-in Mathematica Symbol)

AlgebraicNumberDenominator[a] gives the smallest positive integer n such that n a is an algebraic integer.