论文信息 - A new embedded pair of Runge-Kutta formulas of orders 5 and 6

A new embedded pair of Runge-Kutta formulas of orders 5 and 6

A new pair of embedded Runge-Kutta (RK) formulas of orders 5 and 6 is presented. It is derived from a family of RK methods depending on eight parameters by using certain measures of accuracy and stability. Numerical tests comparing its efficiency to other formulas of the same order in current use are presented. With an extra function evaluation per step, a C^1-continuous interpolant of order 5 can be obtained.

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