Discrete superconvergence of collocation solutions for first-kind Volterra integral equations

DOI10.1216/JIE-2012-24-3-359zbMath1259.65216OpenAlexW2062022207MaRDI QIDQ1931288

Hui Liang, Hermann Brunner

Publication date: 25 January 2013

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jiea/1350925561

zbMATH Keywords

piecewise polynomialscollocation solutionsfirst-kind Volterra integral equationsnumerous examplessuperconvergence at non-mesh points

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05) Linear integral equations (45A05)

Related Items (4)

Oscillation analysis of numerical solutions for nonlinear delay differential equations of hematopoiesis with unimodal production rate ⋮ Collocation methods for Volterra functional integral equations with non-vanishing delays ⋮ \(hp\)-version collocation method for a class of nonlinear Volterra integral equations of the first kind ⋮ Theoretical and numerical analysis of third-kind auto-convolution Volterra integral equations

Cites Work

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• On the divergence of collocation solutions in smooth piecewise polynomial spaces for Volterra integral equations
• Global convergence and local superconvergence of first-kind Volterra integral equation approximations
• Collocation for Volterra Integral Equations of the First Kind with Iterated Kernel
• Discontinuous Galerkin approximations for Volterra integral equations of the first kind
• Continuous collocation approximations to solutions of first kind Volterra equations
• Collocation Methods for Volterra Integral and Related Functional Differential Equations

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