Discrete multi-projection methods for eigen-problems of compact integral operators

DOI10.1016/j.amc.2010.10.003zbMath1214.65070OpenAlexW2000706390MaRDI QIDQ618093

Bijaya Laxmi Panigrahi, Mitali Madhumita Sahani, Gnaneshwar Nelakanti, Guangqing Long

Publication date: 14 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.10.003

zbMATH Keywords

collocation methodGalerkin methodnumerical exampleseigenvalue problemBanach spacecompact operatorlinear integral operatordiscrete projection methodsuper-convergence rates

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral operators (45P05) Eigenvalue problems for integral equations (45C05)

Related Items (7)

Convergence analysis of Galerkin and multi-Galerkin methods for nonlinear-Hammerstein integral equations on the half-line using Laguerre polynomials ⋮ Discrete projection methods for Fredholm-Hammerstein integral equations using Kumar and Sloan technique ⋮ Discrete product integration methods for eigen-problems of a class of non-compact integral operators ⋮ Discrete superconvergent Nyström method for integral equations and eigenvalue problems ⋮ Discrete superconvergent degenerate kernel method for \textit{Fredholm} integral equations ⋮ Projection and multi projection methods for nonlinear integral equations on the half-line ⋮ Convergence analysis of Galerkin and multi-Galerkin methods for linear integral equations on half-line using Laguerre polynomials

Cites Work

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• A degenerate kernel method for eigenvalue problems of compact integral operators
• The discrete multi-projection method for Fredholm integral equations of the second kind
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• Piecewise Continuous Collocation for Integral Equations
• Spectral Approximation for Compact Operators
• Iterated Galerkin Method for Eigenvalue Problems
• Approximate Solutions of Operator Equations
• SPECTRAL APPROXIMATION USING ITERATED DISCRETE GALERKIN METHOD
• The Numerical Solution of Fredholm integral Equations of the Second Kind
• The discrete Petrov-Galerkin method for weakly singular integral equations
• A multilevel method for solving operator equations

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