A modified algorithm for the numerical solution of singular integral equations with index equal to 1

DOI10.1080/00207168408803402zbMath0563.65078OpenAlexW2046879816MaRDI QIDQ3677108

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Publication date: 1984

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207168408803402

zbMATH Keywords

collocationquadrature methodscrack problemsNumerical examples

Mathematics Subject Classification ID

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

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
• 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
• 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
• Quadrature Formulae of Closed Type for Solution of Singular Integral Equations
• Abel's equation and the cauchy integral equation of the second kind

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