A quadrature method for the Cauchy singular integral equations

DOI10.1216/jiea/1181075897zbMath0856.65145OpenAlexW2042234390MaRDI QIDQ1914811

Youngmok Jeon

Publication date: 9 June 1996

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075897

zbMATH Keywords

stabilityconvergencenumerical resultsnumerical experimentsquadrature methodCauchy singular integral equationmesh grading transformationlocal Mellin transformation techniques

Mathematics Subject Classification ID

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

Related Items (6)

A Discrete Collocation Method for a Hypersingular Integral Equation on Curves with Corners ⋮ A quadrature method for constant-coefficient Cauchy singular integral equations on an interval ⋮ A Chebyshev polynomial collocation Boundary Integral Equation Method (BIEM) for mixed boundary value problems on nonsmooth boundaries ⋮ A boundary integral method for the Riemann–Hilbert problem in domains with corners ⋮ Fast collocation solvers for integral equations on open arcs ⋮ A numerical method and efficient preconditioner for generalized airfoil equations

Cites Work

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• On the Convergence of Collocation Methods for Boundary Integral Equations on Polygons
• Product Integration-Collocation Methods for Noncompact Integral Operator Equations
• Mesh Grading for Integral Equations of the First Kind with Logarithmic Kernel
• Numerical Quadrature and Asymptotic Expansions
• Linear integral equations

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