Extrapolation Using a Modified Projection Method

DOI10.1080/01630560903439239zbMath1196.65201OpenAlexW2138531309MaRDI QIDQ3402150

Rekha P. Kulkarni, Laurence Grammont

Publication date: 2 February 2010

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560903439239

zbMATH Keywords

convergencenumerical examplesRichardson extrapolationFredholm integral equation of the second kindGauss pointsGauss-Legendre rules

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05)

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Cites Work

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• Extrapolation method for Fredholm integral equations with non-smooth kernels
• The discrete multi-projection method for Fredholm integral equations of the second kind
• Use of extrapolation for improving the order of convergence of eigenelement approximations
• Extrapolation of the Iterated–Collocation Method for Integral Equations of the Second Kind
• A new superconvergent collocation method for eigenvalue problems
• Piecewise Continuous Collocation for Integral Equations
• Iterated Galerkin versus Iterated Collocation for Integral Equations of the Second Kind
• The discrete Galerkin method for integral equations
• The iterated projection solution for the Fredholm integral equation of second kind
• A New Superconvergent Projection Method for Approximate Solutions of Eigenvalue Problems
• A superconvergence result for solutions of compact operator equations
• Asymptotic Error Expansions for Numerical Solutions of Integral Equations
• Collocation at Gaussian Points