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G. M. Kobelkov, V. V. Gvozdev

Numerical solution of the ocean data assimilation problem

We consider the problem of optimal control by a boundary condition for the heat equation. This problem arises in the process of mathematical formulation of a data assimilation problem for the reconstruction of the ocean surface temperature by approximate initial data and a solution. For the regularized functional, existence and uniqueness of a solution to this problem is proved; an efficient iterative method for solving this problem is proposed and justified.

Russian Journal of Numerical Analysis and Mathematical Modelling, Walter de Gruyter

Print ISSN: 0927-6467
Volume: 19, 06/2004
Pages: 239 - 249

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