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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 2, Pages 136–150 (Mi timm703)  

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
Full-text PDF (215 kB) Citations (3)
References:
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
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2012, Volume 276, Issue 1, Pages S138–S152
DOI: https://doi.org/10.1134/S0081543812020113
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
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
Citation in format AMSBIB
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\paper Adjoint equations and iterative algorithms in problems of variational data assimilation
\serial Trudy Inst. Mat. i Mekh. UrO RAN
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\pages 136--150
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\jour Proc. Steklov Inst. Math. (Suppl.)
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  • https://www.mathnet.ru/eng/timm/v17/i2/p136
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Trudy Instituta Matematiki i Mekhaniki UrO RAN
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    Abstract page:545
    Full-text PDF :227
    References:55
    First page:19
     
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