Stability Results for One-Step Discretized Collocation Methods in the Numerical Treatment of Volterra Integral Equations

DOI10.2307/2153024zbMath0744.65101OpenAlexW4233742182MaRDI QIDQ3987925

Antonia Vecchio, Maria Rosaria Crisci, Elvira Russo

Publication date: 28 June 1992

Full work available at URL: https://doi.org/10.2307/2153024

zbMATH Keywords

stabilitycollocation methodnumerical experimentsrecurrence relationdegenerate kernelsecond-kind Volterra integral equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Related Items

Approximate solution of perturbed Volterra-Fredholm integrodifferential equations by Chebyshev-Galerkin method, An algorithm for solving linear Volterra integro-differential equations, Tau numerical solution of Fredholm integro-differential equations with arbitrary polynomial bases, Nonlinear stability of direct quadrature methods for Volterra integral equations, Stability of collocation methods for Volterra integro-differential equations, Collocation methods for Volterra integral and integro-differential equations: a review, Global stability analysis of the Runge-Kutta methods for Volterra integral and integro-differential equations with degenerate kernels, A perspective on the numerical treatment of Volterra equations, Numerical solution of a class of integro-differential equations by the tau method with an error estimation

Cites Work

• On the stability of multistep formulas for Volterra integral equations of the second kind
• On the stability of the one-step exact collocation method for the second kind Volterra integral equation with degenerate kernel
• 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
• Implicit Runge-Kutta methods for second kind Volterra integral equations
• On the stability of volterra integral equations with seperable kernels
• The Numerical Solution of Nonlinear Volterra Integral Equations of the Second Kind by Collocation and Iterated Collocation Methods
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