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 Citations (Scopus)

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 1990

Fingerprint

Degenerate Kernel
Integral-differential Equation
Volterra Equation
Integrodifferential equations
Runge Kutta methods
Global Analysis
Convergence of numerical methods
Runge-Kutta Methods
Global Stability
Integro-differential Equation
Stability Analysis
Exact Method
Collocation Method
Numerical Solution
Generalization
Class

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

  • Theoretical Computer Science
  • Computational Theory and Mathematics

Cite this

Global stability analysis of the Runge-Kutta methods for volterra integral and integro-differential equations with degenerate kernels. / Crisci, M. R.; Jackiewicz, Zdzislaw; Russo, E.; Vecchio, A.

In: Computing, Vol. 45, No. 4, 12.1990, p. 291-300.

Research output: Contribution to journalArticle

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