Sensitivity of Functionals of the Solution to the Variational Assimilation Problem to the Input Data on the Heat Flux for a Model of Sea Thermodynamics
For the mathematical model of the sea thermodynamics developed at the Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, the problem of variational assimilation of observational data in order to recover heat fluxes on the sea surface is considered. The sensitivity of functional...
Gespeichert in:
Veröffentlicht in: | Computational mathematics and mathematical physics 2023-04, Vol.63 (4), p.623-632 |
---|---|
Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | 632 |
---|---|
container_issue | 4 |
container_start_page | 623 |
container_title | Computational mathematics and mathematical physics |
container_volume | 63 |
creator | Parmuzin, E. I. Shutyaev, V. P. |
description | For the mathematical model of the sea thermodynamics developed at the Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, the problem of variational assimilation of observational data in order to recover heat fluxes on the sea surface is considered. The sensitivity of functionals of the solution to the input data on the heat flux in this problem is studied, and the results of numerical experiments for the model of Black Sea dynamics are presented. |
doi_str_mv | 10.1134/S0965542523040127 |
format | Article |
fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2820504188</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2820504188</sourcerecordid><originalsourceid>FETCH-LOGICAL-c316t-50d2efc6b2f972574c33759a1272b691b22b2c6bff5bf75dea69ea35b30004f73</originalsourceid><addsrcrecordid>eNp1kN9OwyAYxYnRxDl9AO9IvK7yp9D1cpnOLZnRpNPbhrbgWNoygRr3JL6uZdV4Ybwi5zu_8wEHgEuMrjGm8U2GUs5YTBihKEaYJEdghBljEeecHINRsKPgn4Iz57YIYZ5O6Ah8ZrJ12ut37ffQKDjv2tJr04raBek3Emam7sIIenPQL8JqMTBw6pxudH2Q8MmaopbND7dsd52Ht8ILGML9ZCGFh_O6-4DKWCjgg6lkHa7JpIDrjbSNqfataHTpzsGJ6t8gL77PMXie361ni2j1eL-cTVdRSTH3EUMVkarkBVFpQlgSl5QmLBV9AaTgKS4IKUhvK8UKlbBKCp5KQVlBEUKxSugYXA17d9a8ddL5fGs6G76fkwlBDMV4MukpPFClNc5ZqfKd1Y2w-xyjPPSf_-m_z5Ah43q2fZX2d_P_oS-H8ohn</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2820504188</pqid></control><display><type>article</type><title>Sensitivity of Functionals of the Solution to the Variational Assimilation Problem to the Input Data on the Heat Flux for a Model of Sea Thermodynamics</title><source>SpringerLink Journals</source><creator>Parmuzin, E. I. ; Shutyaev, V. P.</creator><creatorcontrib>Parmuzin, E. I. ; Shutyaev, V. P.</creatorcontrib><description>For the mathematical model of the sea thermodynamics developed at the Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, the problem of variational assimilation of observational data in order to recover heat fluxes on the sea surface is considered. The sensitivity of functionals of the solution to the input data on the heat flux in this problem is studied, and the results of numerical experiments for the model of Black Sea dynamics are presented.</description><identifier>ISSN: 0965-5425</identifier><identifier>EISSN: 1555-6662</identifier><identifier>DOI: 10.1134/S0965542523040127</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Assimilation ; Computational Mathematics and Numerical Analysis ; Heat flux ; Heat transfer ; Mathematical models ; Mathematical Physics ; Mathematics ; Mathematics and Statistics ; Matrix ; Sensitivity ; Thermodynamics</subject><ispartof>Computational mathematics and mathematical physics, 2023-04, Vol.63 (4), p.623-632</ispartof><rights>Pleiades Publishing, Ltd. 2023. ISSN 0965-5425, Computational Mathematics and Mathematical Physics, 2023, Vol. 63, No. 4, pp. 623–632. © Pleiades Publishing, Ltd., 2023. Russian Text © The Author(s), 2023, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2023, Vol. 63, No. 4, pp. 657–666.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-50d2efc6b2f972574c33759a1272b691b22b2c6bff5bf75dea69ea35b30004f73</citedby><cites>FETCH-LOGICAL-c316t-50d2efc6b2f972574c33759a1272b691b22b2c6bff5bf75dea69ea35b30004f73</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S0965542523040127$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S0965542523040127$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Parmuzin, E. I.</creatorcontrib><creatorcontrib>Shutyaev, V. P.</creatorcontrib><title>Sensitivity of Functionals of the Solution to the Variational Assimilation Problem to the Input Data on the Heat Flux for a Model of Sea Thermodynamics</title><title>Computational mathematics and mathematical physics</title><addtitle>Comput. Math. and Math. Phys</addtitle><description>For the mathematical model of the sea thermodynamics developed at the Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, the problem of variational assimilation of observational data in order to recover heat fluxes on the sea surface is considered. The sensitivity of functionals of the solution to the input data on the heat flux in this problem is studied, and the results of numerical experiments for the model of Black Sea dynamics are presented.</description><subject>Assimilation</subject><subject>Computational Mathematics and Numerical Analysis</subject><subject>Heat flux</subject><subject>Heat transfer</subject><subject>Mathematical models</subject><subject>Mathematical Physics</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Matrix</subject><subject>Sensitivity</subject><subject>Thermodynamics</subject><issn>0965-5425</issn><issn>1555-6662</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp1kN9OwyAYxYnRxDl9AO9IvK7yp9D1cpnOLZnRpNPbhrbgWNoygRr3JL6uZdV4Ybwi5zu_8wEHgEuMrjGm8U2GUs5YTBihKEaYJEdghBljEeecHINRsKPgn4Iz57YIYZ5O6Ah8ZrJ12ut37ffQKDjv2tJr04raBek3Emam7sIIenPQL8JqMTBw6pxudH2Q8MmaopbND7dsd52Ht8ILGML9ZCGFh_O6-4DKWCjgg6lkHa7JpIDrjbSNqfataHTpzsGJ6t8gL77PMXie361ni2j1eL-cTVdRSTH3EUMVkarkBVFpQlgSl5QmLBV9AaTgKS4IKUhvK8UKlbBKCp5KQVlBEUKxSugYXA17d9a8ddL5fGs6G76fkwlBDMV4MukpPFClNc5ZqfKd1Y2w-xyjPPSf_-m_z5Ah43q2fZX2d_P_oS-H8ohn</recordid><startdate>20230401</startdate><enddate>20230401</enddate><creator>Parmuzin, E. I.</creator><creator>Shutyaev, V. P.</creator><general>Pleiades Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>7U5</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20230401</creationdate><title>Sensitivity of Functionals of the Solution to the Variational Assimilation Problem to the Input Data on the Heat Flux for a Model of Sea Thermodynamics</title><author>Parmuzin, E. I. ; Shutyaev, V. P.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-50d2efc6b2f972574c33759a1272b691b22b2c6bff5bf75dea69ea35b30004f73</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Assimilation</topic><topic>Computational Mathematics and Numerical Analysis</topic><topic>Heat flux</topic><topic>Heat transfer</topic><topic>Mathematical models</topic><topic>Mathematical Physics</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Matrix</topic><topic>Sensitivity</topic><topic>Thermodynamics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Parmuzin, E. I.</creatorcontrib><creatorcontrib>Shutyaev, V. P.</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Computational mathematics and mathematical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Parmuzin, E. I.</au><au>Shutyaev, V. P.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Sensitivity of Functionals of the Solution to the Variational Assimilation Problem to the Input Data on the Heat Flux for a Model of Sea Thermodynamics</atitle><jtitle>Computational mathematics and mathematical physics</jtitle><stitle>Comput. Math. and Math. Phys</stitle><date>2023-04-01</date><risdate>2023</risdate><volume>63</volume><issue>4</issue><spage>623</spage><epage>632</epage><pages>623-632</pages><issn>0965-5425</issn><eissn>1555-6662</eissn><abstract>For the mathematical model of the sea thermodynamics developed at the Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, the problem of variational assimilation of observational data in order to recover heat fluxes on the sea surface is considered. The sensitivity of functionals of the solution to the input data on the heat flux in this problem is studied, and the results of numerical experiments for the model of Black Sea dynamics are presented.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S0965542523040127</doi><tpages>10</tpages></addata></record> |
fulltext | fulltext |
identifier | ISSN: 0965-5425 |
ispartof | Computational mathematics and mathematical physics, 2023-04, Vol.63 (4), p.623-632 |
issn | 0965-5425 1555-6662 |
language | eng |
recordid | cdi_proquest_journals_2820504188 |
source | SpringerLink Journals |
subjects | Assimilation Computational Mathematics and Numerical Analysis Heat flux Heat transfer Mathematical models Mathematical Physics Mathematics Mathematics and Statistics Matrix Sensitivity Thermodynamics |
title | Sensitivity of Functionals of the Solution to the Variational Assimilation Problem to the Input Data on the Heat Flux for a Model of Sea Thermodynamics |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-07T09%3A24%3A19IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Sensitivity%20of%20Functionals%20of%20the%20Solution%20to%20the%20Variational%20Assimilation%20Problem%20to%20the%20Input%20Data%20on%20the%20Heat%20Flux%20for%20a%20Model%20of%20Sea%20Thermodynamics&rft.jtitle=Computational%20mathematics%20and%20mathematical%20physics&rft.au=Parmuzin,%20E.%20I.&rft.date=2023-04-01&rft.volume=63&rft.issue=4&rft.spage=623&rft.epage=632&rft.pages=623-632&rft.issn=0965-5425&rft.eissn=1555-6662&rft_id=info:doi/10.1134/S0965542523040127&rft_dat=%3Cproquest_cross%3E2820504188%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2820504188&rft_id=info:pmid/&rfr_iscdi=true |