Regularity properties of Runge-Kutta methods for delay differential equations

Zdzislaw Jackiewicz, R. Vermiglio, M. Zennaro

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

Conditions are investigated which guarantee that Runge-Kutta methods preserve the asymptotic values of systems of delay differential equations. Such methods are said to be strongly regular. A constructive test for strong regularity is derived and examples of such methods are presented for s = p = 2 and s = p = 3, where s is the number of stages and p is the order of the method.

Original languageEnglish (US)
Pages (from-to)265-278
Number of pages14
JournalApplied Numerical Mathematics
Volume24
Issue number2-3
DOIs
StatePublished - Aug 1997

Keywords

  • Asymptotic values
  • Delay differential equation
  • Runge-kutta method

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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