Optimization of direct methods for the approximate solution of weakly singular integral equations
For a class of weakly singular integral equations with power and logarithmic singularities, we establish the optimal order of the error of direct methods and indicate the procedure which realizes this order.
Збережено в:
| Дата: | 1994 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Українська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1994
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5641 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511869339435008 |
|---|---|
| author | Urumbaev, A. N. Урумбаєв, А. Н. |
| author_facet | Urumbaev, A. N. Урумбаєв, А. Н. |
| author_sort | Urumbaev, A. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:14:58Z |
| description | For a class of weakly singular integral equations with power and logarithmic singularities, we establish the optimal order of the error of direct methods and indicate the procedure which realizes this order. |
| first_indexed | 2026-03-24T03:19:45Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5641 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:19:45Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/76/f811d515b227ddd2f5143c59c20f7576.pdf |
| spelling | umjimathkievua-article-56412020-03-19T09:14:58Z Optimization of direct methods for the approximate solution of weakly singular integral equations Оптимизация прямых методов приближенного решения слабо сингулярных интегральных уравнений Urumbaev, A. N. Урумбаєв, А. Н. For a class of weakly singular integral equations with power and logarithmic singularities, we establish the optimal order of the error of direct methods and indicate the procedure which realizes this order. For a class of weakly singular integral equations with exponential and logarithmic singularities, the optimal order of the error of direct methods is found and the method that realizes this order is indicated. Institute of Mathematics, NAS of Ukraine 1994-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5641 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 9 (1994); 1246–1254 Український математичний журнал; Том 46 № 9 (1994); 1246–1254 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5641/7967 https://umj.imath.kiev.ua/index.php/umj/article/view/5641/7968 Copyright (c) 1994 Urumbaev A. N. |
| spellingShingle | Urumbaev, A. N. Урумбаєв, А. Н. Optimization of direct methods for the approximate solution of weakly singular integral equations |
| title | Optimization of direct methods for the approximate solution of weakly singular integral equations |
| title_alt | Оптимизация прямых методов приближенного решения слабо сингулярных интегральных уравнений |
| title_full | Optimization of direct methods for the approximate solution of weakly singular integral equations |
| title_fullStr | Optimization of direct methods for the approximate solution of weakly singular integral equations |
| title_full_unstemmed | Optimization of direct methods for the approximate solution of weakly singular integral equations |
| title_short | Optimization of direct methods for the approximate solution of weakly singular integral equations |
| title_sort | optimization of direct methods for the approximate solution of weakly singular integral equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5641 |
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