Research and Advances

A comparative study of computer programs for integrating differential equations


A study comparing the performance of several computer programs for integrating systems of ordinary differential equations is reported. The integration methods represented include multistep methods (predictor-correctors), single-step methods (Runge-Kutta) and extrapolation methods (both polynomial and rational). The testing procedure is described together with the evaluation criteria applied. A set of test problems on which the programs were tested is included in an appendix. For the particular problems and criteria used in the investigation it was found that a program based on rational extrapolation showed the best performance.

View this article in the ACM Digital Library.

Join the Discussion (0)

Become a Member or Sign In to Post a Comment

The Latest from CACM

Shape the Future of Computing

ACM encourages its members to take a direct hand in shaping the future of the association. There are more ways than ever to get involved.

Get Involved

Communications of the ACM (CACM) is now a fully Open Access publication.

By opening CACM to the world, we hope to increase engagement among the broader computer science community and encourage non-members to discover the rich resources ACM has to offer.

Learn More