On the complexity of boundary integral equations with analytic coefficients with logarithmic singularities
We find the exact order of the ε-complexity of weakly singular integral equations with periodic and analytic coefficients of logarithmic singularities. This class of equations includes boundary equations for outer boundary-value problems for the two-dimensional Helmholtz equation.
Збережено в:
| Дата: | 1996 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1996
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5215 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511424516718592 |
|---|---|
| author | Azizov, M. Азизов, М. Азизов, М. |
| author_facet | Azizov, M. Азизов, М. Азизов, М. |
| author_sort | Azizov, M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:27:31Z |
| description | We find the exact order of the ε-complexity of weakly singular integral equations with periodic and analytic coefficients of logarithmic singularities. This class of equations includes boundary equations for outer boundary-value problems for the two-dimensional Helmholtz equation. |
| first_indexed | 2026-03-24T03:12:40Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5215 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:12:40Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/5f/7454849bb6886cbf54d82a7fc04bb65f.pdf |
| spelling | umjimathkievua-article-52152020-03-18T21:27:31Z On the complexity of boundary integral equations with analytic coefficients with logarithmic singularities О сложности граничных интегральных уравнений с аналитическими коэффициентами при логарифмической сингулярности Azizov, M. Азизов, М. Азизов, М. We find the exact order of the ε-complexity of weakly singular integral equations with periodic and analytic coefficients of logarithmic singularities. This class of equations includes boundary equations for outer boundary-value problems for the two-dimensional Helmholtz equation. Знайдено точний порядок складності слабко сингулярних інтегральних рівнянь з періодичними аналітичними коефіцієнтами при логарифмічній сингулярності. Цей клас рівнянь містить у собі граничні рівняння зовнішніх граничних задач для двовимірного рівняння Гельмгольца. Institute of Mathematics, NAS of Ukraine 1996-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5215 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 10 (1996); 1299-1310 Український математичний журнал; Том 48 № 10 (1996); 1299-1310 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5215/7124 https://umj.imath.kiev.ua/index.php/umj/article/view/5215/7125 Copyright (c) 1996 Azizov M. |
| spellingShingle | Azizov, M. Азизов, М. Азизов, М. On the complexity of boundary integral equations with analytic coefficients with logarithmic singularities |
| title | On the complexity of boundary integral equations with analytic coefficients with logarithmic singularities |
| title_alt | О сложности граничных интегральных уравнений с аналитическими коэффициентами при логарифмической сингулярности |
| title_full | On the complexity of boundary integral equations with analytic coefficients with logarithmic singularities |
| title_fullStr | On the complexity of boundary integral equations with analytic coefficients with logarithmic singularities |
| title_full_unstemmed | On the complexity of boundary integral equations with analytic coefficients with logarithmic singularities |
| title_short | On the complexity of boundary integral equations with analytic coefficients with logarithmic singularities |
| title_sort | on the complexity of boundary integral equations with analytic coefficients with logarithmic singularities |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5215 |
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