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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| Date: | 2009 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/6332 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862568548195368960 |
|---|---|
| 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
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| first_indexed | 2025-11-26T01:17:15Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-6332 |
| 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 |
| work_keys_str_mv | AT solodkysg ontheefficientmethodofsolvingillposedproblemsbyadaptivediscretization AT volynetsea ontheefficientmethodofsolvingillposedproblemsbyadaptivediscretization |