ButcherGamma (Numerical Differential Equation Analysis Package Symbol)

ButcherGamma[tree] gives the density of tree.

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.

ButcherPhi (Numerical Differential Equation Analysis Package Symbol)

ButcherPhi[tree, s] gives the weight of tree in an s-stage Runge\[Dash]Kutta method. ButcherPhi[tree] gives the weight of tree in stage-independent tensor notation.

ButcherPlotColumns (Numerical Differential Equation Analysis Package Symbol)

ButcherPlotColumns is an option to ButcherPlot that specifies the number of columns in the array of Butcher tree plots.

ButcherPlotLabel (Numerical Differential Equation Analysis Package Symbol)

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

ButcherPlot (Numerical Differential Equation Analysis Package Symbol)

ButcherPlot[tree] gives a plot of tree.ButcherPlot[{tree_1, tree_2, ...}] gives an array of plots of tree_1, tree_2, ....

ButcherPlotNodeSize (Numerical Differential Equation Analysis Package Symbol)

ButcherPlotNodeSize is an option to ButcherPlot that specifies a scaling factor for the nodes of the trees in the plot.

ButcherPlotRootSize (Numerical Differential Equation Analysis Package Symbol)

ButcherPlotRootSize is an option to ButcherPlot that specifies a scaling factor for the circle highlighting the root.

ButcherPrincipalError (Numerical Differential Equation Analysis Package Symbol)

ButcherPrincipalError[p, s] gives the principal error for a method of order p with s stages. ButcherPrincipalError[p] gives the principal error using stage-independent tensor ...