Integreat`RK`
Integreat`RK`

RKLinearStabilityP

RKLinearStabilityP[rk,z]

evaluates the numerator of the linear stability function of rk at z.

Details and Options

  • The numerator of the linear stability function of a Runge–Kutta method is , where is the vector of 's.
  • The following options can be given:
  • EmbeddedFalsewhether to use the embedded coefficients
    StageNonetreat a stage as the solution
    DenseOutputFalsehow to evaluate dense output

Examples

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Basic Examples  (1)

Get the numerator of the stability function:

Options  (3)

Embedded  (1)

Get the numerator of the linear stability function for an embedded method:

Stage  (1)

Evaluate the numerator of the linear stability function for a particular stage

DenseOutput  (1)

Get the numerator of the linear stability function for the dense output solution:

Properties & Relations  (1)

The linear stability function is its numerator divided by its denominator:

Tech Notes
▪
  • Runge–Kutta Methods