scientific article; zbMATH DE number 558379

zbMath0819.65091MaRDI QIDQ4289802

Uno Hämarik

Publication date: 28 April 1994

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

convergenceill-posed linear operator equations of the first kinditerative methodsregularization methodsintegral equation of the first kindextrapolation methodsRitz-Galerkin methodschoice of regularization parameterself-adjoint nonnegative operatorLavrentiev's methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Numerical methods for ill-posed problems for integral equations (65R30) Fredholm integral equations (45B05) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

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The Galerkin scheme for Lavrentiev's \(m\)-times iterated method to solve linear accretive Volterra integral equations of the first kind ⋮ On the parameter choice in the multilevel augmentation method ⋮ Multilevel augmentation algorithms based on fast collocation methods for solving ill-posed integral equations ⋮ A parameter choice strategy for a multilevel augmentation method in iterated Lavrentiev regularization ⋮ Multiscale Galerkin methods for the nonstationary iterated Tikhonov method with a modified posteriori parameter selection ⋮ Fast multiscale Galerkin methods for solving ill-posed integral equations via a coupled system under general source conditions ⋮ A parameter choice strategy for a multi-level augmentation method solving ill-posed operator equations ⋮ A Variant of Projection-Regularization Method for Ill-Posed Linear Operator Equations ⋮ DISCREPANCY SETS FOR COMBINED LEAST SQUARES PROJECTION AND TIKHONOV REGULARIZATION

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