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Diffusive Back and Forth Nudging algorithm for data assimilation

Didier Auroux 1 Jacques Blum 1 Maëlle Nodet 2
2 MOISE - Modelling, Observations, Identification for Environmental Sciences
Inria Grenoble - Rhône-Alpes, LJK [2007-2015] - Laboratoire Jean Kuntzmann [2007-2015], Grenoble INP [2007-2019] - Institut polytechnique de Grenoble - Grenoble Institute of Technology [2007-2019]
Abstract : In this Note, we propose an improvement to the Back and Forth Nudging algorithm for handling diffusion in the context of geophysical data assimilation. We introduce the Diffusive Back and Forth Nudging, in which the sign of the diffusion term is changed in the backward integrations. We study the convergence of this algorithm, in particular for linear transport equations.
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Submitted on : Monday, August 29, 2011 - 3:59:31 PM
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Didier Auroux, Jacques Blum, Maëlle Nodet. Diffusive Back and Forth Nudging algorithm for data assimilation. Comptes Rendus Mathématique, Elsevier Masson, 2011, 349 (15-16), pp.849-854. ⟨10.1016/j.crma.2011.07.004⟩. ⟨inria-00617571⟩



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