On the stability of the one-step exact collocation method for the second kind Volterra integral equation with degenerate kernel

DOI10.1007/BF02276915zbMath0671.65111OpenAlexW337525825MaRDI QIDQ1119386

Elvira Russo, Maria Rosaria Crisci, Antonia Vecchio

Publication date: 1988

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02276915

zbMATH Keywords

numerical resultslocal stabilitycollocation methodsrecurrence relationequationdegenerate kernelconvolution typesecond kind Volterra integral

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05)

Related Items

On the stability of the one-step exact collocation methods for the numerical solution of the second kind Volterra integral equation ⋮ Stability analysis of discrete recurrence equations of Volterra type with degenerate kernels ⋮ Stability Results for One-Step Discretized Collocation Methods in the Numerical Treatment of Volterra Integral Equations ⋮ Global stability analysis of the Runge-Kutta methods for Volterra integral and integro-differential equations with degenerate kernels

Cites Work

• On the stability of the one-step exact collocation methods for the numerical solution of the second kind Volterra integral equation
• Superconvergence of collocation methods for Volterra and Abel integral equations of the second kind
• The Numerical Solution of Nonlinear Volterra Integral Equations of the Second Kind by Collocation and Iterated Collocation Methods
• Piecewise Polynomial Collocation for Volterra-type Integral Equations of the Second Kind
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