Integreat`RK`
Integreat`RK`

RKAlgebraicStabilityMatrix

RKAlgebraicStabilityMatrix[rk]

computes the algebraic stability matrix of rk.

Details and Options

  • The algebraic stability matrix of a Runge–Kutta method has entries for .
  • 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)

The algebraic stability matrix of the classical fourth order Runge–Kutta method:

Options  (3)

Embedded  (1)

Get the algebraic stability matrix for an embedded method:

Stage  (1)

Get the algebraic stability matrix associated with a particular stage:

DenseOutput  (1)

Get the algebraic stability matrix for the dense output solution:

Tech Notes
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  • Runge–Kutta Methods