An unconventional quadrature method for logarithmic-kernel integral equations on closed curves

DOI10.1216/jiea/1181075670zbMath0760.65131OpenAlexW2075417894MaRDI QIDQ1188405

B. J. Burn, Ian H. Sloan

Publication date: 13 August 1992

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

Full work available at URL: https://doi.org/10.1216/jiea/1181075670

zbMATH Keywords

stabilityconvergencenumerical examplesPetrov-Galerkin methodlogarithmic singularityquadrature formula methodtrapezoidal rulelogarithmic-kernel integral equation of the first kindperiodic smoothest splines

Mathematics Subject Classification ID

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

Related Items

On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation, The modified quadrature method for classical pseudodifferential equations of negative order on smooth closed curves, Method of Green's potentials for elliptic PDEs in domains with random apertures, A Nyström method for the two dimensional Helmholtz hypersingular equation, The modified quadrature method for logarithmic-kernel integral equations on closed curves, A rectangular quadrature method for logarithmically singular integral equations of the first kind, A fast numerical solution for the first kind boundary integral equation for the Helmholtz equation, A fully discrete Calderón calculus for the two-dimensional elastic wave equation, Tolerant qualocation -- a qualocation method for boundary integral equations with reduced regularity requirement, A discrete collocation method for Symm's integral equation on curves with corners, Quadrature methods for 2D and 3D problems, Qualocation, Spectrally accurate numerical quadrature formulas for a class of periodic Hadamard finite part integrals by regularization

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