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| See detailed view | Articles in peer-reviewed journal |
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| Russian Journal of Numerical Analysis and Mathematical Modelling 24, 2 (2009) 161-169 |
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| A posteriori error covariances in variational data assimilation |
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| Victor P. Shutyaev1François-Xavier Le Dimet2Igor Yu Gejadze3 |
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| The problem of variational data assimilation for a nonlinear evolution model is formulated as an optimal control problem to find some unknown parameters of the model. The equation for the error of the optimal solution is derived through the statistical errors of the input data (background, observation, and model errors). A numerical algorithm is developed to construct an a posteriori covariance operator of the analysis error using the Hessian of an auxiliary optimal control problem based on the tangent linear model constraints. |
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| 1: | INM-RAS - Institute of Numerical Mathematics [Moscou] |
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| 2: | INRIA Grenoble Rhône-Alpes / LJK Laboratoire Jean Kuntzmann - MOISE |
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| 3: | University of Strathclyde |
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| inria-00391869, version 1 | |
| http://hal.inria.fr/inria-00391869 | |
| oai:hal.inria.fr:inria-00391869 | |
| From: Arthur Vidard | |
| Submitted on: Friday, 5 June 2009 10:16:19 | |
| Updated on: Sunday, 10 February 2013 23:54:32 | |