Construction of two-step Runge-Kutta methods with large regions of absolute stability

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22 Scopus citations

Abstract

We describe the construction of explicit two-step Runge-Kutta methods of order p and stage order q=p-1 or q=p with large regions of absolute stability. This process is illustrated for the methods of order p=2, and 3 and leads to new methods which are competitive with explicit Runge-Kutta methods of the same order.

Original languageEnglish (US)
Pages (from-to)125-137
Number of pages13
JournalJournal of Computational and Applied Mathematics
Volume157
Issue number1
DOIs
StatePublished - Aug 1 2003

Keywords

  • Implementation aspects
  • Minimization
  • Region of absolute stability
  • Two-step Runge-Kutta methods

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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