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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2024, Volume 64, Number 1, Pages 176–186
DOI: https://doi.org/10.31857/S0044466924010133 (Mi zvmmf11697) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical physics

Sensitivity of the functionals of the variational data assimilation problem when reconstructing the initial state and heat flux for a model of sea thermodynamics

V. P. Shutyaev, E. I. Parmuzin

Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, 119333, Moscow, Russia
Full-text PDF Citations (1)
DOI: https://doi.org/10.31857/S0044466924010133
Abstract: The paper considers the problem of variational assimilation of observational data in order to reconstruct the initial state and heat fluxes for the mathematical model of sea thermodynamics developed at the Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences. The sensitivity of the functionals of the solution to the input data on the heat flux on the sea surface in the considered variational assimilation problem is studied, and the results of numerical experiments for the Black Sea dynamics model 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, Sections 1 and 2) and the Department of the Moscow Center for Fundamental and Applied Mathematics at the Institute of Numerical Mathematics of the Russian Academy of Sciences (agreement with the Ministry of Education and Science of Russia No. 075-15-2022-286).
Received: 23.06.2023
Accepted: 16.09.2023
English version:
Computational Mathematics and Mathematical Physics, 2024, Volume 64, Issue 1, Pages 166–176
DOI: https://doi.org/10.1134/S0965542524010135
Bibliographic databases:
Document Type: Article
UDC: 519.6, 551.46
Language: Russian
Citation: V. P. Shutyaev, E. I. Parmuzin, “Sensitivity of the functionals of the variational data assimilation problem when reconstructing the initial state and heat flux for a model of sea thermodynamics”, Zh. Vychisl. Mat. Mat. Fiz., 64:1 (2024), 176–186; Comput. Math. Math. Phys., 64:1 (2024), 166–176
Citation in format AMSBIB
\Bibitem{ShuPar24}
\by V.~P.~Shutyaev, E.~I.~Parmuzin
\paper Sensitivity of the functionals of the variational data assimilation problem when reconstructing the initial state and heat flux for a model of sea thermodynamics
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2024
\vol 64
\issue 1
\pages 176--186
\mathnet{http://mi.mathnet.ru/zvmmf11697}
\crossref{https://doi.org/10.31857/S0044466924010133}
\elib{https://elibrary.ru/item.asp?id=68534084}
\transl
\jour Comput. Math. Math. Phys.
\yr 2024
\vol 64
\issue 1
\pages 166--176
\crossref{https://doi.org/10.1134/S0965542524010135}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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