Cash-Karp

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In numerical analysis, Cash-Karp is a method for solving ordinary differential equations (ODEs). The method is a member of the Runge-Kutta family of ODE solvers. More specifically, it uses six function evaluations to calculate fourth- and fifth-order accurate solutions. The difference between these solutions is then taken to be the error of the (fourth order) solution. This error estimate is very convenient for adaptive stepsize integration algorithms. Other similar integration methods are Fehlberg (RKF) and Dormand-Price (RKDP). Fehlberg was the inventor of this type of "embedded" error formulas.

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