An iterative algorithm for the numerical solution of singular integral equations

DOI10.1016/0021-9991(81)90115-7zbMath0471.65089OpenAlexW2082603110MaRDI QIDQ1157694

Nikolaos I. Ioakimidis

Publication date: 1981

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(81)90115-7

zbMATH Keywords

iterative methodscrack problemsfirst kindGauss- and Lobatto-Chebyshev quadrature rules

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Brittle damage (74R05) Integral equations with kernels of Cauchy type (45E05)

Related Items (7)

A comparison of numerical algorithms for solving cauchy singular integral equation ⋮ The successive approximations method for the airfoil equation ⋮ The singular value decomposition of the Gauss-Chebyshev and Lobatto-Chebyshev methods for Cauchy Singular Integral Equations ⋮ On a suitable quadrature for solving singular integral equation ⋮ An algorithm for the numerical solution of singular integral equations in neutron transport ⋮ Application of computer algebra to the iterative solution of singular integral equations ⋮ Chebyshev-hilbert transform method for the solution of singular integrals and singular integral equations

Cites Work

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• On the natural interpolation formula for Cauchy type singular integral equations of the first kind
• Array of periodic curvilinear cracks in an infinite isotropic medium
• On the numerical solution of Cauchy type singular integral equations and the determination of stress intensity factors in case of complex singularities
• 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 convergence of two direct methods for solution of Cauchy type singular integral equations of the first kind
• 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
• The Numerical Solution of Fredholm integral Equations of the Second Kind
• On the numerical solution of singular integral equations

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