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...

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Дата:2014
Автори: Mozgovoy, A.V., Abramchuk, V.S., Abramchuk, I.V.
Формат: Стаття
Мова:English
Опубліковано: НТК «Інститут монокристалів» НАН України 2014
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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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling 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
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