Integreat`RK`
Integreat`RK`

RKB

RKB[rk]

gives the coefficients of the RungeKutta method rk.

Details and Options

  • The following options can be given:
  • EmbeddedFalsewhether to return the embedded coefficients
    StageNonetreat a stage as the solution
    DenseOutputFalsehow to evaluate dense output
  • The Stage option is useful for analyzing a method property for a particular stage instead of the final solution.

Examples

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Basic Examples  (1)

coefficients for the classical fourth order RungeKutta method:

Options  (3)

Embedded  (1)

Get the embedded coefficients of an embedded RungeKutta pair:

Stage  (1)

The coefficients when the third stage is used as the solution:

DenseOutput  (1)

Get the dense output coefficients for a collocation method:

Evaluate the dense output at the midpoint of the step:

Tech Notes
  • RungeKutta Methods