Discrepancy Principle for Solving Periodic Integral Equations of the First Kind
Fully discrete projection method with discrepancy principle is considered for solving periodic integral equations of the first kind with unknown smoothness of solution. For proposed approach it is proved the optimality and effectiveness in the sense of computational resource
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| Datum: | 2017 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Кам'янець-Подільський національний університет імені Івана Огієнка
2017
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| Online Zugang: | http://mcm-math.kpnu.edu.ua/article/view/111600 |
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| Назва журналу: | Mathematical and computer modelling. Series: Physical and mathematical sciences |
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Mathematical and computer modelling. Series: Physical and mathematical sciences| _version_ | 1856543189922480128 |
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| author | Semenova, Evgeniya Volynets, Evgenii |
| author_facet | Semenova, Evgeniya Volynets, Evgenii |
| author_sort | Semenova, Evgeniya |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2019-03-13T10:35:18Z |
| description | Fully discrete projection method with discrepancy principle is considered for solving periodic integral equations of the first kind with unknown smoothness of solution. For proposed approach it is proved the optimality and effectiveness in the sense of computational resource |
| first_indexed | 2025-07-17T10:42:24Z |
| format | Article |
| id | mcm-mathkpnueduua-article-111600 |
| institution | Mathematical and computer modelling. Series: Physical and mathematical sciences |
| language | English |
| last_indexed | 2025-07-17T10:42:24Z |
| publishDate | 2017 |
| publisher | Кам'янець-Подільський національний університет імені Івана Огієнка |
| record_format | ojs |
| spelling | mcm-mathkpnueduua-article-1116002019-03-13T10:35:18Z Discrepancy Principle for Solving Periodic Integral Equations of the First Kind Semenova, Evgeniya Volynets, Evgenii Fully discrete projection method with discrepancy principle is considered for solving periodic integral equations of the first kind with unknown smoothness of solution. For proposed approach it is proved the optimality and effectiveness in the sense of computational resource Кам'янець-Подільський національний університет імені Івана Огієнка 2017-03-06 Article Article Рецензована Стаття application/pdf http://mcm-math.kpnu.edu.ua/article/view/111600 10.32626/2308-5878.2017-15.175-180 Mathematical and computer modelling. Series: Physical and mathematical sciences; 2017: Mathematical and computer modelling. Series: Physical and mathematical sciences. Issue 15; 175-180 Математичне та комп'ютерне моделювання. Серія: Фізико-математичні науки; 2017: Математичне та комп'ютерне моделювання. Серія: Фізико-математичні науки. Випуск 15; 175-180 2308-5878 10.32626/2308-5878.2017-15 en http://mcm-math.kpnu.edu.ua/article/view/111600/106569 Авторське право (c) 2021 Evgeniya Semenova, Evgenii Volynets |
| spellingShingle | Semenova, Evgeniya Volynets, Evgenii Discrepancy Principle for Solving Periodic Integral Equations of the First Kind |
| title | Discrepancy Principle for Solving Periodic Integral Equations of the First Kind |
| title_full | Discrepancy Principle for Solving Periodic Integral Equations of the First Kind |
| title_fullStr | Discrepancy Principle for Solving Periodic Integral Equations of the First Kind |
| title_full_unstemmed | Discrepancy Principle for Solving Periodic Integral Equations of the First Kind |
| title_short | Discrepancy Principle for Solving Periodic Integral Equations of the First Kind |
| title_sort | discrepancy principle for solving periodic integral equations of the first kind |
| url | http://mcm-math.kpnu.edu.ua/article/view/111600 |
| work_keys_str_mv | AT semenovaevgeniya discrepancyprincipleforsolvingperiodicintegralequationsofthefirstkind AT volynetsevgenii discrepancyprincipleforsolvingperiodicintegralequationsofthefirstkind |