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...
Збережено в:
| Дата: | 2010 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2010
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| Назва видання: | Український математичний вісник |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/124402 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-124402 |
|---|---|
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dspace |
| spelling |
irk-123456789-1244022017-09-25T03:03:15Z Adaptive scheme of discretization for one semiiterative method in solving ill-posed problems Solodky, S.G. Volynets, E.A. 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. 2010 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/124402 en Український математичний вісник Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Solodky, S.G. Volynets, E.A. |
| spellingShingle |
Solodky, S.G. Volynets, E.A. Adaptive scheme of discretization for one semiiterative method in solving ill-posed problems Український математичний вісник |
| author_facet |
Solodky, S.G. Volynets, E.A. |
| author_sort |
Solodky, S.G. |
| title |
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_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_sort |
adaptive scheme of discretization for one semiiterative method in solving ill-posed problems |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/124402 |
| 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. |
| series |
Український математичний вісник |
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AT solodkysg adaptiveschemeofdiscretizationforonesemiiterativemethodinsolvingillposedproblems AT volynetsea adaptiveschemeofdiscretizationforonesemiiterativemethodinsolvingillposedproblems |
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2023-10-18T20:46:20Z |
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2023-10-18T20:46:20Z |
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1796151068714860544 |