A remark on the application of interpolatory quadrature rules to the numerical solution of singular integral equations

DOI10.1016/0377-0427(84)90001-3zbMath0566.65096OpenAlexW1965580645MaRDI QIDQ1059385

J. Blot

Publication date: 1984

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(84)90001-3

zbMATH Keywords

Fredholm integral equationsregularizationGaussian quadrature rulesinterpolatory quadrature rules

Mathematics Subject Classification ID

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

Related Items (1)

A natural quadrature formula for the numerical evaluation of the MacGregor-Westergaard complex potentials in crack problems

Cites Work

• On the natural interpolation formula for Cauchy type singular integral equations of the first kind
• On the quadrature methods for the numerical solution of singular integral equations
• A remark on the numerical solution of singular integral equations and the determination of stress-intensity factors
• Gauss Type Quadrature Rules for Cauchy Principal Value Integrals
• On the convergence of Hunter's quadrature rule for Cauchy principal value integrals
• A Comparison Between the Direct and the Classical Numerical Methods for the Solution of Cauchy Type Singular Integral Equations
• The Classical Collocation Method for Singular Integral Equations
• Orthogonal Polynomials Associated with Singular Integral Equations Having a Cauchy Kernel
• The Deferred Approach to the Limit for Eigenvalues of Integral Equations
• ON THE FINITE HILBERT TRANSFORMATION
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