Error estimation for Nordsieck methods

J. C. Butcher, Zdzislaw Jackiewicz

Research output: Contribution to journalArticle

14 Scopus citations

Abstract

The local discretization errors of general linear methods depend on the sequence of all stepsize ratios and the derivation of the exact formulas for the corresponding error estimates does not seem to be practical. In this paper we will describe an approach in which the estimates of local discretization errors are evaluated numerically as the computation proceeds from step to step.

Original languageEnglish (US)
Pages (from-to)75-85
Number of pages11
JournalNumerical Algorithms
Volume31
Issue number1-4
DOIs
StatePublished - Dec 1 2002

Keywords

  • Error estimation
  • General linear methods
  • Nordsieck methods
  • Step changing strategy

ASJC Scopus subject areas

  • Applied Mathematics

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