Algorithms for the numerical solution of a finite-part integral equation

DOI10.1016/S0893-9659(98)00163-3zbMath0939.65143MaRDI QIDQ1808514

R. St. John, J. Tweed, Mark H. Dunn

Publication date: 25 November 1999

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

Galerkin methodnumerical examplescollocation methodshypersingular integral equationfinite-part integralacoustic wave scattering

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 (2)

Accurate solution and approximations of the linearized BGK equation for steady Couette flow ⋮ Hypersingular integral equations-past, present, future

Cites Work

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• A Chebyshev expansion of singular integrodifferential equations with a \(\partial^ 2| n| s-t| / \partial s \partial t\) kernel
• The convergence of several algorithms for solving integral equations with finite part integrals. II
• On the solution of integral equations with strongly singular kernels
• On the solution of integral equations with a generalized Cauchy kernel

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