Spectral refinement based on superconvergent Nyström and degenerate kernel methods

DOI10.1016/J.AMC.2012.04.051zbMath1278.65186OpenAlexW2075540328MaRDI QIDQ387435

Chafik Allouch, Driss Sbibih, Mohamed Tahrichi

Publication date: 23 December 2013

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.04.051

zbMATH Keywords

Nyström methoddegenerate kernel methodGauss pointsinterpolatory projectionspectral refinement

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Boundary element methods for boundary value problems involving PDEs (65N38) Eigenvalue problems for integral equations (45C05)

Related Items (4)

Discrete superconvergent Nyström method for integral equations and eigenvalue problems ⋮ Superconvergent Nyström and degenerate kernel methods for Hammerstein integral equations ⋮ Superconvergent product integration method for Hammerstein integral equations ⋮ Asymptotic error expansion of the iterated superconvergent Nyström method for Urysohn integral equations

Cites Work

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• Superconvergent Nyström and degenerate kernel methods for eigenvalue problems
• Wavelet Galerkin method for eigenvalue problem of a compact integral operator
• Iteration methods for Fredholm integral equations of the second kind
• A method for obtaining bounds on eigenvalues and eigenfunctions by solving non-homogeneous integral equations
• The iterated projection solution for the Fredholm integral equation of second kind
• Spectral Approximation for Compact Operators
• A New Superconvergent Projection Method for Approximate Solutions of Eigenvalue Problems
• Spectral refinement using a new projection method
• Collocation at Gaussian Points
• On improvement of the iterated Galerkin solution of the second kind integral equations

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