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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao zbMATH Openarrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 1999
Data sources: zbMATH Open
Journal of Inverse and Ill-Posed Problems
Article . 1999 . Peer-reviewed
Data sources: Crossref
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Recovering discrete and continuous parts of the solution of linear ill-posed problems by Tikhonov regularization

Authors: Seidel, A.; Engl, H. W.;

Recovering discrete and continuous parts of the solution of linear ill-posed problems by Tikhonov regularization

Abstract

This paper deals with integral equations of the first kind. These equations arise for instance in physical chemistry. For solving these integral equations the Tikhonov regularization is used. Solutions consist of continuous parts and ``discrete'' parts, i.e. delta-distributions concentrated on certain points. Because of the ``discrete'' parts the problem is nonlinear. Numerical results are given.

Keywords

Other nonlinear integral equations, ill-posed problems, Numerical solutions of ill-posed problems in abstract spaces; regularization, Numerical solutions to equations with nonlinear operators, Tikhonov regularization, Numerical methods for integral equations, numerical results, Numerical methods for ill-posed problems for integral equations, first kind integral equations

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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