Singularity subtraction in the numerical solution of integral equations

DOI10.1017/S0334270000002757zbMath0477.65095OpenAlexW2319011279MaRDI QIDQ3935430

Philip M. Anselone

Publication date: 1981

Published in: The Journal of the Australian Mathematical Society. Series B. Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0334270000002757

zbMATH Keywords

convergencenumerical exampleserror boundsweakly singular kernelsingularity subtraction technique

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

Computation of Spectral Subspaces for Weakly Singular Integral Operators, Treecode-accelerated Green iteration for Kohn-Sham density functional theory, Nyström methods and extrapolation for solving Steklov eigensolutions and its application in elasticity, Asymptotically sharp error estimates for modified compound quadrature formulae for Cauchy principal value integrals, Simulating local fields in carbon nanotube-reinforced composites for infinite strip with voids, High-accuracy quadrature methods for solving boundary integral equations of steady-state anisotropic heat conduction problems with Dirichlet conditions, Convergence and conditioning of a Nyström method for Stokes flow in exterior three-dimensional domains, Two Singularity Subtraction Schemes for a Class of Nonlinear Weakly Singular Integral Equations, A variant of the fixed tangent method for spectral computations on integral operators, On uniform convergence of approximation methods for operator equations of the second kind, Numerical algorithm with high accuracy for the modified Helmholtz equation with Robin boundary value problem, Numerical quadrature for singular integrals on fractals, Boundary integral formulation for flows containing an interface between two porous media, Mechanical quadrature methods and extrapolation algorithms for boundary integral equations with linear boundary conditions in elasticity, Mechanical quadrature methods and their extrapolations for solving boundary integral equations of the conductivity problem with discontinuous media, Spectral analysis of asymptotically compact operator sequences, Singularity Subtraction for Nonlinear Weakly Singular Integral Equations of the Second Kind, Simple quadrature for singular integrals, THE ROLES OF A WEAK SINGULARITY AND THE GRID UNIFORMITY IN RELATIVE ERROR BOUNDS, The isogeometric Nyström method, Lösung linearer Fredholmscher Integralgleichungen mit Kernen vom Greenschen Typ, A convergence theorem for a class of Nyström methods for weakly singular integral equations on surfaces in $\mathbb {R}^3$, Integral operators with Green's function type kernel, AN EXTENSION OF THE PRODUCT INTEGRATION METHOD TO L1 WITH APPLICATIONS IN ASTROPHYSICS, A note on a collectively compact approximation for weakly singular integral operators, An unconventional algorithm for singular integral equations