Integreat`RK`
Integreat`RK`

RKSimplifyingAssumptionD

RKSimplifyingAssumptionD[rk,p]

generates a list of D simplifying assumption residuals up to order p for rk.

RKSimplifyingAssumptionD[rk,{p}]

generates only the residual of order p.

Details and Options

  • The simplifying assumption is for and .
  • 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)

Generate the simplifying assumption for a generic, three stage Runge–Kutta method:

Options  (3)

Embedded  (1)

Generate the simplifying assumption for an embedded method:

Stage  (1)

Check a D simplifying assumption residual for a particular stage:

DenseOutput  (1)

Check a D simplifying assumption residual for the dense output solution:

Tech Notes
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  • Runge–Kutta Methods