A new approach to error estimation for general linear methods

J. C. Butcher, Zdzislaw Jackiewicz

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

We present a simple, accurate and reliable approach to the estimation of the local discretization error for general linear methods for ordinary differential equations. In this approach the input vector for the next step from xn to xn+1 = xn + h is rescaled and modified accordingly to compensate for the change of stepsize from h̄ to h = r/h̄.

Original languageEnglish (US)
Pages (from-to)487-502
Number of pages16
JournalNumerische Mathematik
Volume95
Issue number3
DOIs
StatePublished - Sep 2003

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General Linear Methods
Discretization Error
Error Estimation
Ordinary differential equations
Error analysis
Ordinary differential equation

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics
  • Computational Mathematics

Cite this

A new approach to error estimation for general linear methods. / Butcher, J. C.; Jackiewicz, Zdzislaw.

In: Numerische Mathematik, Vol. 95, No. 3, 09.2003, p. 487-502.

Research output: Contribution to journalArticle

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