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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Дата:2017
Автори: Semenova, Evgeniya, Volynets, Evgenii
Формат: Стаття
Мова:Англійська
Опубліковано: Кам'янець-Подільський національний університет імені Івана Огієнка 2017
Онлайн доступ:http://mcm-math.kpnu.edu.ua/article/view/111600
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Назва журналу:Mathematical and computer modelling. Series: Physical and mathematical sciences

Репозитарії

Mathematical and computer modelling. Series: Physical and mathematical sciences
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author Semenova, Evgeniya
Volynets, Evgenii
author_facet Semenova, Evgeniya
Volynets, Evgenii
author_sort Semenova, Evgeniya
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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
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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
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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