Global stability analysis of the Runge-Kutta methods for volterra integral and integro-differential equations with degenerate kernels

M. R. Crisci, Zdzislaw Jackiewicz, E. Russo, A. Vecchio

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

We investigate the stability of the numerical solutions resulting from applying very general classes of Runge-Kutta methods to Volterra integral and integro-differential equations with degenerate kernels. The results are generalizations of previous results obtained by the authors for exact collocation methods for these equations.

Original languageEnglish (US)
Pages (from-to)291-300
Number of pages10
JournalComputing
Volume45
Issue number4
DOIs
StatePublished - Dec 1 1990

Keywords

  • AMS (Mos) Subject Classifications: Primary 65R20, Secondary 45D05, 45L10
  • Degenerate kernel
  • Runge-Kutta method
  • Stability
  • Volterra integral equation
  • Volterra integro-differential equation

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Numerical Analysis
  • Computer Science Applications
  • Computational Theory and Mathematics
  • Computational Mathematics

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