On the Galerkin and Collocation Methods for a Cauchy Singular Integral Equation

DOI10.1137/0723009zbMath0593.65093OpenAlexW1979727601MaRDI QIDQ3723663

George J. Miel

Publication date: 1986

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0723009

zbMATH Keywords

collocationGalerkin methodsinterpolatory quadrature rules

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations with kernels of Cauchy type (45E05)

Related Items (10)

Discrete polynomial-based Galerkin methods for Fredholm integral equations ⋮ On the uniform convergence of a perturbed collocation method for a class of Cauchy integral equations ⋮ On the uniform convergence of a collocation method for a class of singular integral equations ⋮ A comparison of numerical algorithms for solving cauchy singular integral equation ⋮ The perturbed Galerkin method for Cauchy singular integral equation with constant coefficients ⋮ Parallel solution of Fredholm integral equations of the second kind by orthogonal polynomial expansions ⋮ Discrete projection methods for Cauchy singular integral equations with constant coefficients ⋮ Approximate solution of a system of singular integral equations of the first kind by using Chebyshev polynomials ⋮ Use of Legendre multiwavelets to solve Carleman type singular integral equations ⋮ The conditioning of some projection methods for Fredholm and singular integral equations

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