The stability of the Gauss-Chebyshev method for Cauchy singular integral equations

DOI10.1016/0898-1221(87)90139-8zbMath0635.65140OpenAlexW2081741141MaRDI QIDQ1097671

R. P. Srivastav, Apostolos Gerasoulis

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0898-1221(87)90139-8

zbMATH Keywords

complete Cauchy singular integral equation of the first kinddominant equationGauss- Chebyshev methodinfinity condition numberstability of numerical methods

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 the numerical solution of Cauchy type singular integral equations by the collocation method
• Convergence and stability of a collocation method for the generalized airfoil equation
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• Singular integral equations. The convergence of the Nyström interpolant of the Gauss-Chebyshev method
• Numerical Solution of Sigular Integral Equations Using Gauss-type Formulae I
• A Galerkin-Petrov method for singular integral equations
• On the Weighted Galerkin Method of Numerical Solution of Cauchy Type Singular Integral Equations
• The Discrete Galerkin Method for Integral Equations
• A Comparison Between the Direct and the Classical Numerical Methods for the Solution of Cauchy Type Singular Integral Equations
• Numerical integration methods for the solution of singular integral equations
• On the numerical solution of singular integral equations

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