A discrete method for the logarithmic-kernel integral equation on an open arc

DOI10.1017/S0334270000009000zbMath0782.65159OpenAlexW2045819305MaRDI QIDQ4694573

Siegfried Prössdorf, Jukka Saranen, Ian H. Sloan

Publication date: 28 February 1994

Published in: The Journal of the Australian Mathematical Society. Series B. Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0334270000009000

zbMATH Keywords

singular integral equationquadrature methodsopen arcSymm's integral equationPetrov-Galerkin approximationlogarithmic-kernel integral equation of the first kindcosine substitution

Mathematics Subject Classification ID

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

Related Items (4)

Fast Fourier-Galerkin methods for first-kind logarithmic-kernel integral equations on open arcs ⋮ On the numerical solution of the direct scattering problem for an open sound-hard arc ⋮ A modified boundary integral method on open arcs in the plane ⋮ Fast collocation solvers for integral equations on open arcs

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