The convergence of Nyström methods for Wiener-Hopf equations

DOI10.1007/BF01398884zbMath0621.65138OpenAlexW2046601122MaRDI QIDQ1090095

Ivan G. Graham, Graeme Chandler

Publication date: 1988

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133240

zbMATH Keywords

numerical examplesrates of convergenceconvolution operatorWiener-Hopf equationsNyström methodscompact perturbationcomposite quadrature ruleshalf- linesecond kind integral

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 (15)

Discrete projection methods for Hammerstein integral equations on the half-line ⋮ A high order method for non-smooth Fredholm equations ⋮ Convergence analysis of Galerkin and multi-Galerkin methods for nonlinear-Hammerstein integral equations on the half-line using Laguerre polynomials ⋮ Superconvergent approximations for Wiener-Hopf equations ⋮ On the Exponential Convergence of Spline Approximation Methods for Wiener-Hopf Equations ⋮ Numerical analysis of graded mesh methods for a class of second kind integral equations on the real line ⋮ On spline collocation for convolution equations ⋮ Numerical methods based on rational variable substitution for Wiener-Hopf equations of the second kind ⋮ Operational Quadrature Methods for Wiener-Hopf Integral Equations ⋮ On Nyström and Product Integration Methods for Fredholm Integral Equations ⋮ A Nyström method for a class of integral equations on the real line with applications to scattering by diffraction gratings and rough surfaces. ⋮ A modified Nyström-Clenshaw-Curtis quadrature for integral equations with piecewise smooth kernels ⋮ On the numerical solution of integral equations of the second kind over infinite intervals ⋮ Projection and multi projection methods for nonlinear integral equations on the half-line ⋮ Convergence analysis of Galerkin and multi-Galerkin methods for linear integral equations on half-line using Laguerre polynomials

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