Global convergence and local superconvergence of first-kind Volterra integral equation approximations

DOI10.1093/imanum/drr029zbMath1252.65208OpenAlexW1971443364MaRDI QIDQ2902205

Dugald B. Duncan, Penny J. Davies, Hermann Brunner

Publication date: 17 August 2012

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drr029

zbMATH Keywords

global convergencenumerical examplesdiscontinuous Galerkin methodcollocationconvolution kernelVolterra integral equations of the first kindlocal superconvergencediscontinuous piecewise polynomial methodsquadrature Galerkin method

Mathematics Subject Classification ID

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

Related Items (2)

Discrete superconvergence of collocation solutions for first-kind Volterra integral equations ⋮ On Discontinuous and Continuous Approximations to Second-Kind Volterra Integral Equations

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