Superconvergence of Legendre projection methods for the eigenvalue problem of a compact integral operator

DOI10.1016/j.cam.2010.10.038zbMath1213.65157OpenAlexW2048974663MaRDI QIDQ629498

Gnaneshwar Nelakanti, Bijaya Laxmi Panigrahi

Publication date: 9 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.cam.2010.10.038

zbMATH Keywords

numerical resultseigenvaluessuperconvergenceLegendre-Galerkin methodscompact integral operatorLegendre collocation methodsLegendre projection methods

Mathematics Subject Classification ID

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

Related Items (11)

Error analysis of Jacobi spectral collocation methods for Fredholm-Hammerstein integral equations with weakly singular kernel ⋮ Legendre multi-Galerkin methods for Fredholm integral equations with weakly singular kernel and the corresponding eigenvalue problem ⋮ Legendre spectral projection methods for Fredholm-Hammerstein integral equations ⋮ Projected Tikhonov regularization method for Fredholm integral equations of the first kind ⋮ Galerkin methods for eigenvalue problem of an integral operator with logarithmic kernel ⋮ Superconvergence of Legendre spectral projection methods for Fredholm-Hammerstein integral equations ⋮ Legendre spectral projection methods for Urysohn integral equations ⋮ Legendre Galerkin method for weakly singular Fredholm integral equations and the corresponding eigenvalue problem ⋮ Mixed Fourier Legendre spectral Galerkin methods for two-dimensional Fredholm integral equations of the second kind ⋮ Chebyshev spectral projection methods for Fredholm integral equations of the second kind ⋮ Chebyshev spectral projection methods for two-dimensional Fredholm integral equations of second kind

Cites Work

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• Polynomially based multi-projection methods for Fredholm integral equations of the second kind
• Legendre spectral Galerkin method for second-kind Volterra integral equations
• Spectral methods for weakly singular Volterra integral equations with smooth solutions
• Szegö's conjecture on Lebesgue constants for Legendre series
• A degenerate kernel method for eigenvalue problems of compact integral operators
• Spectral Approximation for Compact Operators
• Spectral Methods and Their Applications
• Spectral Methods

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