Stability of Numerical Methods for Volterra Integro‐Differential Equations of Convolution Type

DOI10.1002/ZAMM.19880680210zbMath0645.65095OpenAlexW1981382422MaRDI QIDQ5903650

V. L. Bakke, Zdzisław Jackiewicz

Publication date: 1988

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19880680210

zbMATH Keywords

Volterra integro-differential equationsconvolution test equationStability regionsreducible linear multistep methodsboundary locus methodmodified multilag methods

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20)

Related Items (5)

The Barycentric Rational Difference-Quadrature Scheme for Systems of Volterra Integro-differential Equations ⋮ Multistep Runge-Kutta methods for Volterra integro-differential equations ⋮ Stability analysis of Runge-Kutta methods for Volterra integro-differential equations ⋮ An \(hp\)-version of the \(C^0\)-continuous Petrov-Galerkin method for second-order Volterra integro-differential equations ⋮ On the numerical stability of the general linear methods for Volterra integro-differential equations

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