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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 4, Pages 657–666
DOI: https://doi.org/10.31857/S0044466923040130 (Mi zvmmf11541) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematical physics

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

E. I. Parmuzin, V. P. Shutyaev

Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, 119333, Moscow, Russia
Citations (2)
DOI: https://doi.org/10.31857/S0044466923040130
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.
Key words: variational assimilation of observational data, optimal control, adjoint equations, covariance matrices, sensitivity of functionals, model of sea thermodynamics.
Funding agency Grant number
Russian Science Foundation 20-11-20057
Ministry of Science and Higher Education of the Russian Federation 075-15-2022- 286
This work was supported by the Russian Science Foundation (project no. 20-11-20057, studies in Sections 1 and 2) and the Department of the Moscow Center for Fundamental and Applied Mathematics at the Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences (Agreement with the Ministry of Education and Science of the Russian Federation No. 075-15-2022- 286).
Received: 29.04.2022
Revised: 02.11.2022
Accepted: 15.12.2022
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 4, Pages 623–632
DOI: https://doi.org/10.1134/S0965542523040127
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: E. I. Parmuzin, V. P. Shutyaev, “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”, Zh. Vychisl. Mat. Mat. Fiz., 63:4 (2023), 657–666; Comput. Math. Math. Phys., 63:4 (2023), 623–632
Citation in format AMSBIB
\Bibitem{ParShu23}
\by E.~I.~Parmuzin, V.~P.~Shutyaev
\paper 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
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 4
\pages 657--666
\mathnet{http://mi.mathnet.ru/zvmmf11541}
\crossref{https://doi.org/10.31857/S0044466923040130}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4594974}
\elib{https://elibrary.ru/item.asp?id=50502011}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 4
\pages 623--632
\crossref{https://doi.org/10.1134/S0965542523040127}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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