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

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...

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Bibliographic Details
Published in:International journal of pure and applied mathematics : IJPAM 2009, Vol.52 (1), p.67-85
Main Authors: Ngnepieba, Pierre, Le Dimet, François-Xavier, Jones, Amari, Shutyaev, Victor P.
Format: Article
Language:English
Subjects:
Mathematics
Optimization and Control
Online Access:Get full text
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Summary: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.
ISSN:1311-8080
1314-3395