Adaptive scheme of discretization for one semiiterative method in solving ill-posed problems
In the paper we consider a new algorithm to solving linear ill-posed problem with operators of finite smoothness. The algorithm uses one semiiterative method for the regularization of original problem in combination with an adaptive strategy of discretization. For the operators the algorithm achieve...
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| Published in: | Український математичний вісник |
|---|---|
| Date: | 2010 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/124402 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Adaptive scheme of discretization for one semiiterative method in solving ill-posed problems / S.G. Solodky, E.A. Volynets // Український математичний вісник. — 2010. — Т. 7, № 4. — С. 553-569. — Бібліогр.: 14 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862745310882693120 |
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| author | Solodky, S.G. Volynets, E.A. |
| author_facet | Solodky, S.G. Volynets, E.A. |
| citation_txt | Adaptive scheme of discretization for one semiiterative method in solving ill-posed problems / S.G. Solodky, E.A. Volynets // Український математичний вісник. — 2010. — Т. 7, № 4. — С. 553-569. — Бібліогр.: 14 назв. — англ. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | In the paper we consider a new algorithm to solving linear ill-posed problem with operators of finite smoothness. The algorithm uses one semiiterative method for the regularization of original problem in combination with an adaptive strategy of discretization. For the operators the algorithm achieves the optimal order of accuracy. Moreover, it is more economic in the sense of amount of used discrete information compare with standard methods.
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| first_indexed | 2025-12-07T20:40:06Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-124402 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-12-07T20:40:06Z |
| publishDate | 2010 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Solodky, S.G. Volynets, E.A. 2017-09-24T17:41:00Z 2017-09-24T17:41:00Z 2010 Adaptive scheme of discretization for one semiiterative method in solving ill-posed problems / S.G. Solodky, E.A. Volynets // Український математичний вісник. — 2010. — Т. 7, № 4. — С. 553-569. — Бібліогр.: 14 назв. — англ. 1810-3200 2010 MSC. 47A52. https://nasplib.isofts.kiev.ua/handle/123456789/124402 In the paper we consider a new algorithm to solving linear ill-posed problem with operators of finite smoothness. The algorithm uses one semiiterative method for the regularization of original problem in combination with an adaptive strategy of discretization. For the operators the algorithm achieves the optimal order of accuracy. Moreover, it is more economic in the sense of amount of used discrete information compare with standard methods. en Інститут прикладної математики і механіки НАН України Український математичний вісник Adaptive scheme of discretization for one semiiterative method in solving ill-posed problems Article published earlier |
| spellingShingle | Adaptive scheme of discretization for one semiiterative method in solving ill-posed problems Solodky, S.G. Volynets, E.A. |
| title | Adaptive scheme of discretization for one semiiterative method in solving ill-posed problems |
| title_full | Adaptive scheme of discretization for one semiiterative method in solving ill-posed problems |
| title_fullStr | Adaptive scheme of discretization for one semiiterative method in solving ill-posed problems |
| title_full_unstemmed | Adaptive scheme of discretization for one semiiterative method in solving ill-posed problems |
| title_short | Adaptive scheme of discretization for one semiiterative method in solving ill-posed problems |
| title_sort | adaptive scheme of discretization for one semiiterative method in solving ill-posed problems |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/124402 |
| work_keys_str_mv | AT solodkysg adaptiveschemeofdiscretizationforonesemiiterativemethodinsolvingillposedproblems AT volynetsea adaptiveschemeofdiscretizationforonesemiiterativemethodinsolvingillposedproblems |