Runge-Kutta interpolants with minimal phase-lag☆
暂无分享,去创建一个
Abstract We develop the basic theory for the construction of explicit Scaled Runge-Kutta methods (SRK) for the integration of first order differential equations having an oscillatory solution. Based on this theory and on the theory of Runge-Kutta methods with minimal phase-lag, we construct an embedded Runge-Kutta 10(12) method and an explicit scaled Runge-Kutta method. Numerical results indicate the efficiency of the new algorithms.
[1] H. A. Watts,et al. Solving Nonstiff Ordinary Differential Equations—The State of the Art , 1976 .
[2] Tom E. Simos,et al. A Runge-Kutta Fehlberg method with phase-lag of order infinity for initial-value problems with oscillating solution , 1993 .
[4] M. K. Horn,et al. Fourth- and Fifth-Order, Scaled Rungs–Kutta Algorithms for Treating Dense Output , 1983 .
[5] Ben P. Sommeijer,et al. Explicit Runge-Kutta (-Nyström) methods with reduced phase errors for computing oscillating solutions , 1987 .