Self-regularization by projection for noisy pseudodifferential equations of negative order

DOI10.1007/s00211-002-0417-xzbMath1074.65130OpenAlexW2019394492MaRDI QIDQ1402185

Helmut Harbrecht, Reinhold Schneider, Sergei V. Pereverzyev

Publication date: 19 August 2003

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

Full work available at URL: https://doi.org/10.1007/s00211-002-0417-x

zbMATH Keywords

complexityalgorithmsregularizationill-possed problempseudodifferential equations of negative orderwavelet-based matrix compression

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for wavelets (65T60) Boundary value problems for PDEs with pseudodifferential operators (35S15) Complexity and performance of numerical algorithms (65Y20)

Related Items (13)

On the balancing principle for some problems of numerical analysis ⋮ Numerical pseudodifferential operator and Fourier regularization ⋮ Approximate and information aspects of the numerical solution of unstable integral and pseudodifferential equations ⋮ A multiscale RBF method for severely ill-posed problems on spheres ⋮ Two-parameter regularization of ill-posed spherical pseudo-differential equations in the space of continuous functions ⋮ Multiscale support vector approach for solving ill-posed problems ⋮ A parameter choice strategy for a multilevel augmentation method in iterated Lavrentiev regularization ⋮ Fast multilevel augmentation methods with compression technique for solving ill-posed integral equations ⋮ A parameter choice strategy for a multi-level augmentation method solving ill-posed operator equations ⋮ A class of periodic integral equations with numerical solution by the fully discrete projection method ⋮ Numerical differentiation from a viewpoint of regularization theory ⋮ A fast multiscale Galerkin method for the first kind ill‐posed integral equations via Tikhonov regularization ⋮ ON THE SELF-REGULARIZATION OF ILL-POSED PROBLEMS BY THE LEAST ERROR PROJECTION METHOD

This page was built for publication: Self-regularization by projection for noisy pseudodifferential equations of negative order