Collocation-quadrature methods and fast summation for Cauchy singular integral equations with fixed singularities

DOI10.1016/j.laa.2015.07.006zbMath1330.65199OpenAlexW1061365276MaRDI QIDQ5962486

Peter Junghanns, Robert Kaiser, Daniel Potts

Publication date: 12 February 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2015.07.006

zbMATH Keywords

\(C^\ast\)-algebra techniquesCauchy singular integral equationcollocation-quadrature method

Mathematics Subject Classification ID

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

Related Items (5)

On the Numerical Solution of a Hypersingular Integral Equation with Fixed Singularities ⋮ A note on Kalandiya's method for a crack problem ⋮ Extension-Restriction Theorems for Algebras of Approximation Sequences ⋮ More Than 40 Years of Algebraic Techniques in Numerical Analysis ⋮ Approximate solution of first kind singular integral equation with generalized kernel using Legendre multiwavelets

Uses Software

• NFFT

Cites Work

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• On the solution of integral equations with strongly singular kernels
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• Uniform Boundedness of Lagrange Operator in Some Weighted Sobolev‐Type Space
• Fast Summation at Nonequispaced Knots by NFFT
• The boundedness of the Cauchy singular integral operator in weighted Besov type spaces with uniform norms

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