Local error estimation for singly-implicit formulas by two-step Runge-Kutta methods

A. Bellen, Zdzislaw Jackiewicz, M. Zennaro

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

In this paper it is shown that the local discretization error of s-stage singly-implicit methods of order p can be estimated by embedding these methods into s-stage two-step Runge-Kutta methods of order p+1, where p=s or p=s+1. These error estimates do not require any extra evaluations of the right hand side of the differential equations. This is in contrast with the error estimation schemes based on embedded pairs of two singly-implicit methods proposed by Burrage.

Original languageEnglish (US)
Pages (from-to)104-117
Number of pages14
JournalBIT
Volume32
Issue number1
DOIs
StatePublished - Mar 1 1992

Keywords

  • Subject classification: AMS 65L05

ASJC Scopus subject areas

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

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