A Chebyshev expansion of singular integral equations with a logarithmic kernel

DOI10.1016/0021-9991(83)90096-7zbMath0517.65097OpenAlexW1966483103MaRDI QIDQ1053437

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)90096-7

zbMATH Keywords

convergencenumerical exampleslogarithmic kernelsymmetric kernelChebyshev expansionscattering of acoustic wavesGauss- Chebyshev quadraturetwo- dimensional wave-scattering

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Diffraction, scattering (78A45) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (3)

A fast and well-conditioned spectral method for singular integral equations ⋮ High-order Galerkin method for Helmholtz and Laplace problems on multiple open arcs ⋮ A Chebyshev expansion of singular integrodifferential equations with a \(\partial^ 2| n| s-t| / \partial s \partial t\) kernel

Cites Work

• The Dirichlet problem for the two-dimensional Helmholtz equation for an open boundary
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