Stability analysis of multilag and modified multilag methods for volterra integrodifferential equations

V. L. Bakke, Zdzislaw Jackiewicz

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

Stability analysis of multilag and modified multilag methods for Volterra integrodifferential equations is presented, with respect to the nonconvolution test equation. y'(t)=γy(t)+∫01(λ+μt+νs)y(s)ds(t≥0)where γ, λ, μ, and ν are real parameters. The application of these methods to this test equation leads to difference equations with variable coefficients which are of Poincaré type. Using the extension of the Perron theorem, the conditions under which the solutions to such equations are bounded are derived. As a consequence, a complete characterization of stability regions of multilag and modified multilag methods with respect to the above nonconvolution test equation is obtained.

Original languageEnglish (US)
Pages (from-to)243-257
Number of pages15
JournalIMA Journal of Numerical Analysis
Volume12
Issue number2
DOIs
StatePublished - Apr 1 1992

ASJC Scopus subject areas

  • Mathematics(all)
  • Computational Mathematics
  • Applied Mathematics

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