A review of some numerical methods for the solution of Cauchy singular integral equations

DOI10.1007/BF02925266zbMath0873.65117OpenAlexW2068968364MaRDI QIDQ4340036

Laura Gori

Publication date: 16 October 1997

Published in: Rendiconti del Seminario Matematico e Fisico di Milano (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02925266

zbMATH Keywords

numerical examplesCauchy singular integral equationsspline method

Mathematics Subject Classification ID

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

Cites Work

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• On spline Galerkin methods for singular integral equations with piecewise continuous coefficients
• On the convergence of a quadrature rule for evaluating certain Cauchy principal value integrals
• Local spline approximation methods
• Application of approximating splines for the solution of Cauchy singular integral equations
• On the uniform convergence of Cauchy principal values of quasi-interpolating splines
• Some Gauss-type formulae for the evaluation of Cauchy principal values of integrals
• Cubic Splines and Approximate Solution of Singular Integral Equations
• Piecewise-Polynomial Quadratures for Cauchy Singular Integrals
• Galerkin Methods for Singular Integral Equations
• Approximate solution of a singular integral equation by means of jacobi polynomials
• Orthogonal Polynomials Associated with Singular Integral Equations Having a Cauchy Kernel

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