Multirate linear multistep methods

C. W. Gear, D. R. Wells

Research output: Contribution to journalArticlepeer-review

174 Scopus citations

Abstract

The design of a code which uses different stepsizes for different components of a system of ordinary differential equations is discussed. Methods are suggested which achieve moderate efficiency for problems having some components with a much slower rate of variation than others. Techniques for estimating errors in the different components are analyzed and applied to automatic stepsize and order control. Difficulties, absent from non-multirate methods, arise in the automatic selection of stepsizes, leading to a suggested organization of the code that is counter-intuitive. An experimental code and some initial experiments are described.

Original languageEnglish (US)
Pages (from-to)484-502
Number of pages19
JournalBIT
Volume24
Issue number4
DOIs
StatePublished - Dec 1 1984
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Software
  • Computer Graphics and Computer-Aided Design
  • Computational Mathematics
  • Applied Mathematics

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