A Class of Single-Step Methods for Systems of Nonlinear Differential Equations

1 October 1967

journal article
Published by JSTOR in Mathematics of Computation

Vol. 21 (100) , 597-610
https://doi.org/10.2307/2005003

Abstract

The numerical solution of a system of nonlinear differential equations of arbitrary orders is considered. General implicit single-step methods are obtained and some convergence properties studied.

Keywords

DIFFERENTIAL
SINGLE STEP METHODS
CONVERGENCE
IMPLICIT
ARBITRARY
METHODS FOR SYSTEMS
CLASS OF SINGLE

This publication has 5 references indexed in Scilit:

Single step methods for linear differential equations
Numerische Mathematik, 1967
On the Convergence of Numerical Solutions to Ordinary Differential Equations
Mathematics of Computation, 1966
On Runge-Kutta processes of high order
Journal of the Australian Mathematical Society, 1964
Implicit Runge-Kutta Processes
Mathematics of Computation, 1964
Coefficients for the study of Runge-Kutta integration processes
Journal of the Australian Mathematical Society, 1963