Integreat`RK`

Integreat`RK`

RKDispersionOrder

RKDispersionOrder[rk]

computes the linear, homogeneous order of dissipation of rk.

Details and Options

A Runge–Kutta method has order of dispersion if , where is the dispersion error function.
RKDispersionOrder returns an even integer or ∞.
The following options can be given:
Embedded False whether to use the embedded coefficients

Stage None treat a stage as the solution

DenseOutput False how to evaluate dense output

Examples

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Basic Examples (1)

Get the order of dispersion of the classical fourth order Runge–Kutta method:

Options (3)

Embedded (1)

Get the order of dispersion for an embedded method:

Stage (1)

Get the order of dispersion for a particular stage:

DenseOutput (1)

Get the order of dispersion for the dense output solution:

Tech Notes

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Runge–Kutta Methods