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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2018, Volume 21, Number 2, Pages 225–242
DOI: https://doi.org/10.15372/SJNM20180208 (Mi sjvm680) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Stability of the optimal solution to the problem of variational assimilation with error covariance matrices of observational data for the sea thermodynamics model

V. P. Shutyaevab, E. I. Parmuzina

a Institute of Numerical Mathematics RAS, 8 Gubkina str., Moscow, 119991, Russia
b Marine Hydrophysical Institute RAS, 2 Kapitanskaya str., Sevastopol', 299011, Russia
Full-text PDF (6145 kB) Citations (2) English version article
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DOI: https://doi.org/10.15372/SJNM20180208
Abstract: A mathematical model of the sea thermodynamics, developed at the Institute of Numerical Mathematics of the Russian Academy of Sciences is considered. The problem of variational assimilation of daily-averaged sea surface temperature (SST) data is formulated and investigated taking into account the observation error covariance matrices. On the basis of variational assimilation of satellite observation data, the inverse problem of restoring a heat flux on the sea surface is solved. The stability of the optimal solution of the problem of variational data assimilation is studied, and the results of numerical experiments for the model of the Baltic Sea dynamics are presented.
Key words: variational data assimilation, optimal control, adjoint equations, covariance matrices, stability with respect to errors, sea surface temperature.
Funding agency Grant number
Russian Science Foundation 14-11-00609
17-77-30001
Russian Foundation for Basic Research 18-01-00267
Received: 14.07.2017
Revised: 06.10.2017
English version:
Numerical Analysis and Applications, 2018, Volume 11, Issue 2, Pages 178–192
DOI: https://doi.org/10.1134/S1995423918020088
Bibliographic databases:
Document Type: Article
UDC: 519.6+551.46
Language: Russian
Citation: V. P. Shutyaev, E. I. Parmuzin, “Stability of the optimal solution to the problem of variational assimilation with error covariance matrices of observational data for the sea thermodynamics model”, Sib. Zh. Vychisl. Mat., 21:2 (2018), 225–242; Num. Anal. Appl., 11:2 (2018), 178–192
Citation in format AMSBIB
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