A modified discrete spectral collocation method for first kind integral equations with logarithmic kernel

DOI10.1216/jiea/1181075777zbMath0803.65136OpenAlexW1964275252MaRDI QIDQ1325744

Jukka Saranen

Publication date: 2 January 1995

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

Full work available at URL: https://doi.org/10.1216/jiea/1181075777

zbMATH Keywords

stabilitycomputational complexityconvergencenumerical experimentsSymm's integral equationdiscrete Galerkin methodtrigonometric collocationdiscrete spectral collocation methodfirst kind integral equation with logarithmic kernel

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

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Cites Work

• A discrete Galerkin method for first kind integral equations with a logarithmic kernel
• On integral equations of the first kind with logarithmic kernels
• The Numerical Solution of First-Kind Logarithmic-Kernel Integral Equations on Smooth Open Arcs
• Cosine Change of Variable for Symm's Integral Equation on Open Arcs
• Quadrature methods for logarithmic-kernel integral equations on closed curves
• Quadrature Methods for Strongly Elliptic Equations of Negative Order on Smooth Closed Curves
• A Spectral Galerkin Method for a Boundary Integral Equation