On the Newton's Algorithm for Data Assimilation problem: Application to an infiltration model

Abstract : The problem of data assimilation for a nonlinear evolution model is considered with the aim to identify the initial and/or boundary conditions. An approach to solve the data assimilation process is described. This approach is based on the Newton's Method. An application to the data assimilation problem in hydrology is presented. Numerical results are given.
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https://hal.inria.fr/inria-00391870
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Submitted on : Friday, June 5, 2009 - 10:16:19 AM
Last modification on : Wednesday, April 11, 2018 - 1:59:32 AM

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Pierre Ngnepieba, François-Xavier Le Dimet, Amari Jones, Victor P. Shutyaev. On the Newton's Algorithm for Data Assimilation problem: Application to an infiltration model. International Journal of Pure and Applied Mathematics, Academic Publishing Ltd, 2009, 52 (1), pp.67-85. ⟨inria-00391870⟩

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