A quadrature method for the hypersingular integral equation on an interval

DOI10.1216/jiea/1181075880zbMath0846.65081OpenAlexW2067512324MaRDI QIDQ1908805

Kathrin Bühring

Publication date: 3 October 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/1181075880

zbMATH Keywords

stabilityerror estimateshypersingular integral equationquadrature methodscosine transformation

Mathematics Subject Classification ID

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

Related Items (3)

Fast collocation solvers for integral equations on open arcs ⋮ Approximation of Hypersingular Integral Operators With Cauchy Kernel ⋮ Quadrature methods for 2D and 3D problems

Cites Work

• On a full discretization scheme for a hypersingular boundary integral equation over smooth curves
• On the convergence of the multigrid method for a hypersingular integral equation of the first kind
• A Nyström method for boundary integral equations in domains with corners
• Numerical analysis for integral and related operator equations.
• Exact solution of a simple hypersingular integral equation
• Collocation with Chebyshev polynomials for a hypersingular integral equation on an interval
• A fully discrete approximation method for the exterior Neumann problem of the Helmholtz equation
• An algorithm for the approximate solution of integral equations of Mellin type
• On the numerical solution of a hypersingular integral equation in scattering theory
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• The normal dervative of the double layer potential on polygons and galerkin approximation
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