Collocation for Cauchy singular integral equations

DOI10.1016/j.laa.2012.09.010zbMath1283.65119OpenAlexW2024402496MaRDI QIDQ2435370

Peter Junghanns, Robert Kaiser

Publication date: 19 February 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.09.010

zbMATH Keywords

stabilitycollocation methodChebyshev nodesCauchy singular integral equation

Mathematics Subject Classification ID

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

Related Items

Fast multipole method for singular integral equations of second kind ⋮ Collocation-quadrature methods and fast summation for Cauchy singular integral equations with fixed singularities ⋮ Use of Legendre multiwavelets to solve Carleman type singular integral equations ⋮ Approximate solution of first kind singular integral equation with generalized kernel using Legendre multiwavelets

Cites Work

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• Local theory of the collocation method for the approximate solution of singular integral equations. I
• Banach algebras with symbol and singular integral operators. Transl. from the Russian by A. Iacob
• Numerical analysis for integral and related operator equations.
• On a class of Toeplitz + Hankel operators
• On polynomial collocation for Cauchy singular integral equations with fixed singularities
• Collocation methods for Cauchy singular integral equations on the interval
• A polynomial collocation method for Cauchy singular integral equations over the interval
• On the Numerical Solution of a Hypersingular Integral Equation with Fixed Singularities
• Lokale Theorie des Reduktionsverfahrens für Toeplitzoperatoren
• Orthogonal polynomials
• Two Subspaces