Methods of constructing basis in solving inverse problems
The paper suggests theoretical bases for building the complete systems of the Taylor-type basic elements with dense range of derivatives of positive, negative and fractional orders. This enables to explore the qualitative behavior of the solutions to differential and integral equations (direct and i...
Збережено в:
Дата: | 2014 |
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Автори: | , , |
Формат: | Стаття |
Мова: | English |
Опубліковано: |
НТК «Інститут монокристалів» НАН України
2014
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Назва видання: | Functional Materials |
Теми: | |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/120490 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Цитувати: | Methods of constructing basis in solving inverse problems / A.V. Mozgovoy, V.S. Abramchuk, I.V. Abramchuk // Functional Materials. — 2014. — Т. 21, № 4. — С. 457-462. — Бібліогр.: 16 назв. — англ. |
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irk-123456789-1204902017-06-13T03:04:12Z Methods of constructing basis in solving inverse problems Mozgovoy, A.V. Abramchuk, V.S. Abramchuk, I.V. Modeling and simulation The paper suggests theoretical bases for building the complete systems of the Taylor-type basic elements with dense range of derivatives of positive, negative and fractional orders. This enables to explore the qualitative behavior of the solutions to differential and integral equations (direct and inverse problems), to process the experimentaldata, to identify the systems, to specify mathematical models of the objects and processes, to optimize the designing projects with specified characteristics, to prognosticate natural phenomena. 2014 Article Methods of constructing basis in solving inverse problems / A.V. Mozgovoy, V.S. Abramchuk, I.V. Abramchuk // Functional Materials. — 2014. — Т. 21, № 4. — С. 457-462. — Бібліогр.: 16 назв. — англ. 1027-5495 DOI: dx.doi.org/10.15407/fm21.04.457 http://dspace.nbuv.gov.ua/handle/123456789/120490 en Functional Materials НТК «Інститут монокристалів» НАН України |
institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
collection |
DSpace DC |
language |
English |
topic |
Modeling and simulation Modeling and simulation |
spellingShingle |
Modeling and simulation Modeling and simulation Mozgovoy, A.V. Abramchuk, V.S. Abramchuk, I.V. Methods of constructing basis in solving inverse problems Functional Materials |
description |
The paper suggests theoretical bases for building the complete systems of the Taylor-type basic elements with dense range of derivatives of positive, negative and fractional orders. This enables to explore the qualitative behavior of the solutions to differential and integral equations (direct and inverse problems), to process the experimentaldata, to identify the systems, to specify mathematical models of the objects and processes, to optimize the designing projects with specified characteristics, to prognosticate natural phenomena. |
format |
Article |
author |
Mozgovoy, A.V. Abramchuk, V.S. Abramchuk, I.V. |
author_facet |
Mozgovoy, A.V. Abramchuk, V.S. Abramchuk, I.V. |
author_sort |
Mozgovoy, A.V. |
title |
Methods of constructing basis in solving inverse problems |
title_short |
Methods of constructing basis in solving inverse problems |
title_full |
Methods of constructing basis in solving inverse problems |
title_fullStr |
Methods of constructing basis in solving inverse problems |
title_full_unstemmed |
Methods of constructing basis in solving inverse problems |
title_sort |
methods of constructing basis in solving inverse problems |
publisher |
НТК «Інститут монокристалів» НАН України |
publishDate |
2014 |
topic_facet |
Modeling and simulation |
url |
http://dspace.nbuv.gov.ua/handle/123456789/120490 |
citation_txt |
Methods of constructing basis in solving inverse problems / A.V. Mozgovoy, V.S. Abramchuk, I.V. Abramchuk // Functional Materials. — 2014. — Т. 21, № 4. — С. 457-462. — Бібліогр.: 16 назв. — англ. |
series |
Functional Materials |
work_keys_str_mv |
AT mozgovoyav methodsofconstructingbasisinsolvinginverseproblems AT abramchukvs methodsofconstructingbasisinsolvinginverseproblems AT abramchukiv methodsofconstructingbasisinsolvinginverseproblems |
first_indexed |
2023-10-18T20:37:08Z |
last_indexed |
2023-10-18T20:37:08Z |
_version_ |
1796150674570870784 |