Multiscale collocation methods for ill-posed integral equations via a coupled system

DOI10.1088/0266-5611/28/2/025006zbMath1244.65237OpenAlexW1972462945MaRDI QIDQ3225324

Shengpei Ding, Zhongying Chen, Yuesheng Xu, Hong-qi Yang

Publication date: 19 March 2012

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/28/2/025006

zbMATH Keywords

convergencenumerical examplescompressioncollocationcoupled systemTikhonov regularizationill-posed problemFredholm integral equation of the first kind

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for ill-posed problems for integral equations (65R30) Fredholm integral equations (45B05) Linear integral equations (45A05)

Related Items (7)

A fast Fourier-Galerkin method solving a system of integral equations for the biharmonic equation ⋮ Multiscale collocation methods for ill-posed integral equations with a modified posteriori parameter selection ⋮ Heuristic parameter choice rule for solving linear ill-posed integral equations in finite dimensional space ⋮ Fast multiscale Galerkin methods for solving ill-posed integral equations via a coupled system under general source conditions ⋮ A collocation method solving integral equation models for image restoration ⋮ A Variant of Projection-Regularization Method for Ill-Posed Linear Operator Equations ⋮ Adaptive multilevel iteration methods for solving ill-posed integral equations via a coupled system

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