Pseudo-Runge-Kutta Methods of the Fifth Order

Authors:
William B. Gruttke
Affiliations:
Department of Mathematics, St. Louis University, St. Louis, Mo. and George Washington University, Program in Logistics, Washington, D.C
Venue:
Journal of the ACM (JACM)
Year:
1970

Citing 4
Cited 0

Introduction to numerical analysis: 2nd edition

Introduction to numerical analysis: 2nd edition
A Modified Multistep Method for the Numerical Integration of Ordinary Differential Equations

Journal of the ACM (JACM)
Pseudo-Runge-Kutta Methods Involving Two Points

Journal of the ACM (JACM)
Parameters for pseudo Runge-Kutta methods

Communications of the ACM

Quantified Score

Hi-index	0.00

Visualization

Abstract

A family of fifth-order pseudo-Runge-Kutta methods for the numerical solution of systems of ordinary differential equations is presented. A procedure for determining an “optimal” set of parameters is given, and several examples are considered. The principal advantage of these methods is that, for a fixed stepsize, they require two less function evaluations at each step than do the corresponding fifth-order Runge-Kutta methods. Their principal disadvantage is that they are not self-starting; they require two initial values. Numerically, pseudo-Runge-Kutta and Runge-Kutta methods seem to be comparable.