On the efficient method of solving ill-posed problems by adaptive discretization

To solve ill-posed problems Ax = f is used the Fakeev-Lardy regularization, using an adaptive discretization strategy. It is shown that for some classes of finitely smoothing operators proposed algorithm achieves the optimal order of accuracy and is more economical in the sense of amount of discrete...

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Дата:2009
Автори: Solodky, S.G., Volynets, E.A.
Формат: Стаття
Мова:Англійська
Опубліковано: Інститут математики НАН України 2009
Теми:
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/6332
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:On the efficient method of solving ill-posed problems by adaptive discretization / S.G. Solodky, E.A. Volynets // Збірник праць Інституту математики НАН України. — 2009. — Т. 6, № 2. — С. 524-549. — Бібліогр.: 11 назв. — англ.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Solodky, S.G.
Volynets, E.A.
author_facet Solodky, S.G.
Volynets, E.A.
citation_txt On the efficient method of solving ill-posed problems by adaptive discretization / S.G. Solodky, E.A. Volynets // Збірник праць Інституту математики НАН України. — 2009. — Т. 6, № 2. — С. 524-549. — Бібліогр.: 11 назв. — англ.
collection DSpace DC
description To solve ill-posed problems Ax = f is used the Fakeev-Lardy regularization, using an adaptive discretization strategy. It is shown that for some classes of finitely smoothing operators proposed algorithm achieves the optimal order of accuracy and is more economical in the sense of amount of discrete information then standard methods
first_indexed 2025-11-26T01:17:15Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-2910
language English
last_indexed 2025-11-26T01:17:15Z
publishDate 2009
publisher Інститут математики НАН України
record_format dspace
spelling Solodky, S.G.
Volynets, E.A.
2010-02-23T14:54:10Z
2010-02-23T14:54:10Z
2009
On the efficient method of solving ill-posed problems by adaptive discretization / S.G. Solodky, E.A. Volynets // Збірник праць Інституту математики НАН України. — 2009. — Т. 6, № 2. — С. 524-549. — Бібліогр.: 11 назв. — англ.
1815-2910
https://nasplib.isofts.kiev.ua/handle/123456789/6332
To solve ill-posed problems Ax = f is used the Fakeev-Lardy regularization, using an adaptive discretization strategy. It is shown that for some classes of finitely smoothing operators proposed algorithm achieves the optimal order of accuracy and is more economical in the sense of amount of discrete information then standard methods
en
Інститут математики НАН України
Геометрія, топологія та їх застосування
On the efficient method of solving ill-posed problems by adaptive discretization
Article
published earlier
spellingShingle On the efficient method of solving ill-posed problems by adaptive discretization
Solodky, S.G.
Volynets, E.A.
Геометрія, топологія та їх застосування
title On the efficient method of solving ill-posed problems by adaptive discretization
title_full On the efficient method of solving ill-posed problems by adaptive discretization
title_fullStr On the efficient method of solving ill-posed problems by adaptive discretization
title_full_unstemmed On the efficient method of solving ill-posed problems by adaptive discretization
title_short On the efficient method of solving ill-posed problems by adaptive discretization
title_sort on the efficient method of solving ill-posed problems by adaptive discretization
topic Геометрія, топологія та їх застосування
topic_facet Геометрія, топологія та їх застосування
url https://nasplib.isofts.kiev.ua/handle/123456789/6332
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AT volynetsea ontheefficientmethodofsolvingillposedproblemsbyadaptivediscretization