Sensitivity of functionals of the solution to a variational data assimilation problem with heat flux reconstruction for the sea thermodynamics model

Autor: Victor P. Shutyaev, Eugene I. Parmuzin

Publikováno v: Russian Journal of Numerical Analysis and Mathematical Modelling. 37:373-382

The problem of variational observation data assimilation is considered for the mathematical thermodynamics model developed at the Marchuk Institute of Numerical Mathematics of RAS with the aim to reconstruct the sea surface heat flux. The sensitivity

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4e8a7c6993b106793f0eeb4b4c43ebe6
https://doi.org/10.1515/rnam-2022-0030

Numerical solution of the problem of variational data assimilation to restore heat fluxes and initial state for the ocean thermodynamics model

Autor: Victor P. Shutyaev, E. I. Parmuzin

Publikováno v: Russian Journal of Numerical Analysis and Mathematical Modelling. 36:43-53

For the model of ocean thermodynamics developed at the Institute of Numerical Mathematics of RAS, the problem of variational data assimilation is considered in order to restore heat fluxes on the ocean surface and initial state of the model. Iterativ

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::57fc40d5bf1ba24d8d506eaa3ac1f0dc
https://doi.org/10.1515/rnam-2021-0004

Sensitivity of Functionals of Solution to a Variational Data Assimilation Problem with Simultaneous Reconstruction of Heat Fluxes and Initial State for a Sea Thermodynamics Model

Autor: E. I. Parmuzin, V. P. Shutyaev

Publikováno v: Numerical Analysis and Applications. 13:382-392

A problem of variational assimilation of data is considered in order to simultaneously reconstruct sea surface heat fluxes and the initial state of a mathematical model of sea thermodynamics developed at the Institute of Numerical Mathematics of the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::12c2c6c062e224ff124952415bcc100b
https://doi.org/10.1134/s1995423920040084

Sensitivity of response functions in variational data assimilation for joint parameter and initial state estimation

Autor: Victor P. Shutyaev, E. I. Parmuzin, F.-X. Le Dimet

Publikováno v: Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics, Elsevier, 2020, 373, pp.112368:1-14. ⟨10.1016/j.cam.2019.112368⟩
Journal of Computational and Applied Mathematics, 2020, 373, pp.112368:1-14. ⟨10.1016/j.cam.2019.112368⟩

International audience; The problem of variational data assimilation for a nonlinear evolution model is formulated as an optimal control problem to find simultaneously unknown parameters and initial state of the model. A response function is consider

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df3f8db86adae1f70cb28bcd6d82b2ca
https://hal.inria.fr/hal-02431701/file/Paper-revised.pdf

Variational assimilation with covariance matrices of observation data errors for the model of the Baltic Sea dynamics

Autor: Valery Agoshkov, E. I. Parmuzin, Victor P. Shutyaev, N. B. Zakharova

Publikováno v: Russian Journal of Numerical Analysis and Mathematical Modelling. 33:149-160

The mathematical model of the Baltic Sea dynamics developed at the Institute of Numerical Mathematics of RAS is considered. The problem of variational assimilation of average daily data for the sea surface temperature (SST) is formulated and studied

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e75c748a5faa655d8950c77d386c76d2
https://doi.org/10.1515/rnam-2018-0013