Efficient General Linear Methods of High Order with Inherent Quadratic Stability

Michał Braś, Zdzislaw Jackiewicz

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

Abstract: We search for general linear methods with s internal stages and r = s + 1 external stages of order p = s + 1 and stage order q = s. We require that stability function of these methods has only two non-zero roots. This is achieved by imposing the so-called inherent quadratic stability conditions. Examples of such general linear methods which are A- and L-stable up to the order p = 8 and stage order q = p - 1 are derived.

Original languageEnglish (US)
Pages (from-to)450-468
Number of pages19
JournalMathematical Modelling and Analysis
Volume19
Issue number4
DOIs
StatePublished - Jan 1 2014

Keywords

  • A- and L-stability
  • general linear methods
  • inherent quadratic stability
  • order and stage order

ASJC Scopus subject areas

  • Analysis
  • Modeling and Simulation

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