Fast numerical collocation solutions of integral equations

DOI10.3934/cpaa.2007.6.643zbMath1137.65067OpenAlexW2026596818MaRDI QIDQ2467016

Yuesheng Xu, Zhongying Chen, Bin Wu

Publication date: 18 January 2008

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2007.6.643

zbMATH Keywords

Fredholm integral equationnumerical examplesmultilevel augmentation methodconcrete constructionfast numerical collocation solutionfast wavelet Galerkin methodsmultiscale piecewise polynomial bases

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for wavelets (65T60) Fredholm integral equations (45B05)

Related Items (11)

A fast solver for integral equations with convolution-type kernel ⋮ Multistep collocation method for Fredholm integral equations of the second kind ⋮ Fast collocation methods for high-dimensional weakly singular integral equations ⋮ Multilevel augmentation methods with matrix compression for solving reformulated Hammerstein equations ⋮ A fast multiscale solver for modified Hammerstein equations ⋮ Multilevel augmentation algorithms based on fast collocation methods for solving ill-posed integral equations ⋮ A fast multiscale Galerkin method for solving a boundary integral equation in a domain with corners ⋮ A fast numerical solution method for two dimensional Fredholm integral equations of the second kind based on piecewise polynomial interpolation ⋮ A modified Nyström-Clenshaw-Curtis quadrature for integral equations with piecewise smooth kernels ⋮ Multiparameter regularization for Volterra kernel identification via multiscale collocation methods ⋮ Combined probabilistic algorithm for solving high dimensional problems

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