A Chebyshev expansion of singular integrodifferential equations with a \(\partial^ 2| n| s-t| / \partial s \partial t\) kernel

DOI10.1016/0021-9991(83)90097-9zbMath0517.65098OpenAlexW1980525664MaRDI QIDQ1053438

J. Blot

Publication date: 1983

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(83)90097-9

zbMATH Keywords

convergencenumerical examplessymmetric kernelGauss-Chebyshev quadratureCauchy-type kernelinfinite matrix representationtwo-dimensional wave-scattering

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Diffraction, scattering (78A45)

Related Items (7)

The convergence of several algorithms for solving integral equations with finite part integrals. II ⋮ Improved convergence rates for some discrete Galerkin methods ⋮ A fast and well-conditioned spectral method for singular integral equations ⋮ Exact solution of a simple hypersingular integral equation ⋮ The numerical evaluation of a class of logarithmically singular integral transforms ⋮ Algorithms for the numerical solution of a finite-part integral equation ⋮ Optimal convergence rates for some discrete projection methods

Cites Work

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• A Chebyshev expansion of singular integral equations with a logarithmic kernel

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