Integreat`RK`
Integreat`RK`

RKExtrapolate

RKExtrapolate[rk,steps]

creates a new Runge–Kutta method which is rk extrapolated using the step sequence steps.

RKExtrapolate[rk,steps,j]

extrapolates assuming rk has an asymptotic error expansion involving only powers of .

Details and Options

  • RKExtrapolate[rk,steps] is equivalent to RKExtrapolate[rk,steps,1].
  • Symmetric Runge–Kutta methods can be extrapolated with j=2.
  • The order of the Runge–Kutta method produced by RKExtrapolate[rk,steps,j] is j*Length[steps].

Examples

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Basic Examples  (1)

Extrapolating a symmetric second order method to order six:

Possible Issues  (1)

Step numbers must be distinct:

Tech Notes
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Runge–Kutta Methods