Solving singular integral equations using Gaussian quadrature and overdetermined system

DOI10.1016/S0898-1221(98)00073-XzbMath0999.65149MaRDI QIDQ1608400

Sunyoung Kim

Publication date: 6 August 2002

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

collocationTikhonov regularizationCauchy singular integral equationsgeneralized singular value decompositionoverdetermined systemsGauss-Chebyshev quadrature

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Ill-posedness and regularization problems in numerical linear algebra (65F22) Numerical methods for integral equations (65R20) Numerical quadrature and cubature formulas (65D32) Integral equations with kernels of Cauchy type (45E05)

Related Items (8)

An effective collocation technique to solve the singular Fredholm integral equations with Cauchy kernel ⋮ Numerical solutions of Cauchy singular integral equations using generalized inverses ⋮ Galerkin multi-wavelet bases and mesh points method to solve integral equation with singular logarithmic kernel ⋮ Solution of Cauchy type singular integral equations of the first kind by using differential transform method ⋮ An approximate numerical method for solving Cauchy singular integral equations composed of multiple implicit parameter functions with unknown integral limits in contact mechanics ⋮ Generalization of Darbo-Type Fixed Point Theorem and Applications to Integral Equations ⋮ Approximate solution of singular integral equations of the first kind with Cauchy kernel ⋮ Chebyshev polynomial solution of the system of Cauchy-type singular integral equations of the first kind

Cites Work

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• Solving singular integral equations using Gaussian quadrature and overdetermined systems
• Rational function approximations in the numerical solution of Cauchy-type singular integral equations
• Regularization, GSVD and truncated GSVD
• Computational Behavior of Gauss–Newton Methods
• A Practical Examination of Some Numerical Methods for Linear Discrete Ill-Posed Problems
• On the numerical solution of singular integral equations

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