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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| Published in: | Functional Materials |
|---|---|
| Date: | 2014 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
НТК «Інститут монокристалів» НАН України
2014
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/120490 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| _version_ | 1862717709243908096 |
|---|---|
| author | Mozgovoy, A.V. Abramchuk, V.S. Abramchuk, I.V. |
| author_facet | Mozgovoy, A.V. Abramchuk, V.S. Abramchuk, I.V. |
| 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. |
| collection | DSpace DC |
| container_title | 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.
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| first_indexed | 2025-12-07T18:12:07Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-120490 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1027-5495 |
| language | English |
| last_indexed | 2025-12-07T18:12:07Z |
| publishDate | 2014 |
| publisher | НТК «Інститут монокристалів» НАН України |
| record_format | dspace |
| spelling | Mozgovoy, A.V. Abramchuk, V.S. Abramchuk, I.V. 2017-06-12T08:10:37Z 2017-06-12T08:10:37Z 2014 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 https://nasplib.isofts.kiev.ua/handle/123456789/120490 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. en НТК «Інститут монокристалів» НАН України Functional Materials Modeling and simulation Methods of constructing basis in solving inverse problems Article published earlier |
| spellingShingle | Methods of constructing basis in solving inverse problems Mozgovoy, A.V. Abramchuk, V.S. Abramchuk, I.V. Modeling and simulation |
| title | 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_short | Methods of constructing basis in solving inverse problems |
| title_sort | methods of constructing basis in solving inverse problems |
| topic | Modeling and simulation |
| topic_facet | Modeling and simulation |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/120490 |
| work_keys_str_mv | AT mozgovoyav methodsofconstructingbasisinsolvinginverseproblems AT abramchukvs methodsofconstructingbasisinsolvinginverseproblems AT abramchukiv methodsofconstructingbasisinsolvinginverseproblems |