Explicit Nordsieck methods with extended stability regions

Z. Bartoszewski, Zdzislaw Jackiewicz

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

We describe the construction of explicit Nordsieck methods of order p and stage order q = p with large regions of absolute stability. We also discuss error propagation and estimation of local discretization errors. The error estimators are derived for examples of general linear methods constructed in this paper. Some numerical experiments are presented which illustrate the effectiveness of proposed methods.

Original languageEnglish (US)
Pages (from-to)6056-6066
Number of pages11
JournalApplied Mathematics and Computation
Volume218
Issue number10
DOIs
StatePublished - Jan 15 2012

Keywords

  • Explicit Nordsieck methods
  • General linear methods
  • Order conditions
  • Region of absolute stability

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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