On the rate of convergence of the Ritz method for ordinary differential equations
We obtain direct and inverse theorems on the approximation of solutions of self-adjoint boundary-value problems for the Sturm-Liouville equation on a finite interval by the Ritz method.
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| Date: | 2000 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2000
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4463 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510592748486656 |
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| author | Yakymiv, R. Ya. Якимів, Р. Я. |
| author_facet | Yakymiv, R. Ya. Якимів, Р. Я. |
| author_sort | Yakymiv, R. Ya. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:29:27Z |
| description | We obtain direct and inverse theorems on the approximation of solutions of self-adjoint boundary-value problems for the Sturm-Liouville equation on a finite interval by the Ritz method. |
| first_indexed | 2026-03-24T02:59:27Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4463 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:59:27Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/77/c547e5090456882f4aea3f7092419f77.pdf |
| spelling | umjimathkievua-article-44632020-03-18T20:29:27Z On the rate of convergence of the Ritz method for ordinary differential equations Про швидкість збіжності методу Рітца для звичайних диференціальних рівнянь Yakymiv, R. Ya. Якимів, Р. Я. We obtain direct and inverse theorems on the approximation of solutions of self-adjoint boundary-value problems for the Sturm-Liouville equation on a finite interval by the Ritz method. Отримано прямі та обернені теореми апроксимації методом Рітца розв'язків самоспряжених крайових задач для рівняння Штурма - Ліувілля на скінченному інтервалі. Institute of Mathematics, NAS of Ukraine 2000-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4463 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 5 (2000); 702-706 Український математичний журнал; Том 52 № 5 (2000); 702-706 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4463/5630 https://umj.imath.kiev.ua/index.php/umj/article/view/4463/5631 Copyright (c) 2000 Yakymiv R. Ya. |
| spellingShingle | Yakymiv, R. Ya. Якимів, Р. Я. On the rate of convergence of the Ritz method for ordinary differential equations |
| title | On the rate of convergence of the Ritz method for ordinary differential equations |
| title_alt | Про швидкість збіжності методу Рітца для звичайних диференціальних
рівнянь |
| title_full | On the rate of convergence of the Ritz method for ordinary differential equations |
| title_fullStr | On the rate of convergence of the Ritz method for ordinary differential equations |
| title_full_unstemmed | On the rate of convergence of the Ritz method for ordinary differential equations |
| title_short | On the rate of convergence of the Ritz method for ordinary differential equations |
| title_sort | on the rate of convergence of the ritz method for ordinary differential equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4463 |
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