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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 2, Pages 136–150
(Mi timm703)
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This article is cited in 3 scientific papers (total in 3 papers)
Adjoint equations and iterative algorithms in problems of variational data assimilation
G. I. Marchuk, V. P. Shutyaev Institute of Numerical Mathematics, Russian Academy of Sciences
Abstract:
Based on the theory of adjoint equations, iterative algorithms for solving one class of problems of assimilating data for the reconstruction of the initial condition are developed and substantiated. The iterative processes are optimized with the use of the spectral properties of control operators. The results are illustrated by the example of the quasi-local model of turbulent heat transfer in the ocean.
Keywords:
adjoint equations, optimal control, variational data assimilation, iterative algorithms.
Received: 22.09.2010
Citation:
G. I. Marchuk, V. P. Shutyaev, “Adjoint equations and iterative algorithms in problems of variational data assimilation”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 2, 2011, 136–150; Proc. Steklov Inst. Math. (Suppl.), 276, suppl. 1 (2012), S138–S152
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https://www.mathnet.ru/eng/timm703 https://www.mathnet.ru/eng/timm/v17/i2/p136
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Abstract page: | 545 | Full-text PDF : | 227 | References: | 55 | First page: | 19 |
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