On the rate of convergence of projection-iterative methods for classes of weakly singular integral equations
For classes of weakly singular integral equations of the second kind whose kernels have a power singularity, we find the optimal order of the rate of convergence of projection-iterative methods. Moreover, iterative methods of the Sokolov type are considered and, for weakly singular equations with di...
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| Datum: | 1995 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1995
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5447 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511679143477248 |
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| author | Askarov, M. Pereverzev, S. V. Аскаров, М. Переверзев, С. В. Аскаров, М. Переверзев, С. В. |
| author_facet | Askarov, M. Pereverzev, S. V. Аскаров, М. Переверзев, С. В. Аскаров, М. Переверзев, С. В. |
| author_sort | Askarov, M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T08:59:28Z |
| description | For classes of weakly singular integral equations of the second kind whose kernels have a power singularity, we find the optimal order of the rate of convergence of projection-iterative methods. Moreover, iterative methods of the Sokolov type are considered and, for weakly singular equations with differentiable coefficients, we present estimates of the rate of convergence of such methods. |
| first_indexed | 2026-03-24T03:16:43Z |
| format | Article |
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| id | umjimathkievua-article-5447 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:16:43Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/71/1f3c31bb861efbfe98298e51f9945171.pdf |
| spelling | umjimathkievua-article-54472020-03-19T08:59:28Z On the rate of convergence of projection-iterative methods for classes of weakly singular integral equations О скорости сходимости методов проекционно-итеративного типа для классов слабо-сингулярных интегральных уравнений Askarov, M. Pereverzev, S. V. Аскаров, М. Переверзев, С. В. Аскаров, М. Переверзев, С. В. For classes of weakly singular integral equations of the second kind whose kernels have a power singularity, we find the optimal order of the rate of convergence of projection-iterative methods. Moreover, iterative methods of the Sokolov type are considered and, for weakly singular equations with differentiable coefficients, we present estimates of the rate of convergence of such methods. Для класів слабо-сингулярних інтегральних рівнянь II роду, ядра яких мають степеневу особливість, знайдено оптимальний порядок швидкості збіжності проекційно-ітеративних методів. Крім того, розглянуто ітераційні методи типу метода Ю. Д. Соколова і наведено оцінки швидкості збіжності таких методів для слабо-сингулярних рівнянь з диференційовними коефіцієнтами. Institute of Mathematics, NAS of Ukraine 1995-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5447 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 4 (1995); 498–505 Український математичний журнал; Том 47 № 4 (1995); 498–505 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5447/7583 https://umj.imath.kiev.ua/index.php/umj/article/view/5447/7584 Copyright (c) 1995 Askarov M.; Pereverzev S. V. |
| spellingShingle | Askarov, M. Pereverzev, S. V. Аскаров, М. Переверзев, С. В. Аскаров, М. Переверзев, С. В. On the rate of convergence of projection-iterative methods for classes of weakly singular integral equations |
| title | On the rate of convergence of projection-iterative methods for classes of weakly singular integral equations |
| title_alt | О скорости сходимости методов проекционно-итеративного типа для классов слабо-сингулярных интегральных уравнений |
| title_full | On the rate of convergence of projection-iterative methods for classes of weakly singular integral equations |
| title_fullStr | On the rate of convergence of projection-iterative methods for classes of weakly singular integral equations |
| title_full_unstemmed | On the rate of convergence of projection-iterative methods for classes of weakly singular integral equations |
| title_short | On the rate of convergence of projection-iterative methods for classes of weakly singular integral equations |
| title_sort | on the rate of convergence of projection-iterative methods for classes of weakly singular integral equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5447 |
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