Integreat`RK`
Integreat`RK`

RKErrorC

RKErrorC[rk]

computes the "C" measure of the quality of the embedded pair rk.

RKErrorC[rk,p]

assumes the order of rk is p.

Details and Options

  • RKErrorC[rk,p] computes , where is the order residuals of the embedded method, is the order residuals of the primary method, and is the order error of the embedded method from RKErrorA.
  • The order of rk should be one more than its embedding.
  • Ideally, a method of order should have so that the embedded method provides an accurate approximation of the error over a wide range of step sizes.

Examples

Basic Examples  (1)

Compute for an embedded pair:

Tech Notes
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  • Runge–Kutta Methods