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作者:F.-X. Le Dimet , I. Souopgui ...
来源:[J].Nonlinear Processes in Geophysics(IF 1.409), 2015, Vol.22 (1), pp.15-32DOAJ
摘要:The equations that govern geophysical fluids (namely atmosphere,ocean and rivers) are well known but their use for predictionrequires the knowledge of the initial condition. In many practicalcases, this initial condition is poorly known and the use of animprecise initial guess is...
作者:... D. Dartus , F.-X. Le Dimet , G.-M. Saulnier
来源:[J].Hydrology and Earth System Sciences(IF 3.587), 2009, Vol.13 (4), pp.503DOAJ
摘要:Variational methods are widely used for the analysis and control of computationally intensive spatially distributed systems. In particular, the adjoint state method enables a very efficient calculation of the derivatives of an objective function (response function to be anal...
作者:... I. Gejadze , G. J. M. Copeland , F.-X. Le Dimet
来源:[J].Nonlinear Processes in Geophysics(IF 1.409), 2012, Vol.19 (2), pp.177-184DOAJ
摘要:The problem of variational data assimilation (DA) for a nonlinear evolution model is formulated as an optimal control problem to find the initial condition, boundary conditions and/or model parameters. The input data contain observation and background errors, hence there is an er...
作者:... D. Dartus , F.-X. Le Dimet , G.-M. Saulnier
来源:[J].Hydrology and Earth System Sciences(IF 3.587), 2009, Vol.13 (4), pp.503-517DOAJ
摘要:Variational methods are widely used for the analysis and control of computationally intensive spatially distributed systems. In particular, the adjoint state method enables a very efficient calculation of the derivatives of an objective function (response function to be anal...
作者:V. Shutyaev , F.-X. Le Dimet , E. Parmuzin
来源:[J].Journal of Computational and Applied Mathematics(IF 0.989), 2020, Vol.373Elsevier
摘要:Abstract(#br)The problem of variational data assimilation for a nonlinear evolution model is formulated as an optimal control problem to find simultaneously unknown parameters and initial state of the model. A response function is considered as a functional of the optimal solutio...
作者:V. P. Shutyaev , F.-X. Le Dimet
来源:[J].Doklady Mathematics(IF 0.376), 2019, Vol.99 (3), pp.295-298Springer
摘要:Abstract(#br)The problem of variational data assimilation for a nonlinear evolutionary model is formulated as an optimal control problem to simultaneously find unknown parameters and the initial state of the model. The response function is treated as a functional of the optimal s...
作者:I.Yu. Gejadze , F.-X. Le Dimet , V. Shutyaev
来源:[J].Journal of Computational Physics(IF 2.138), 2009, Vol.229 (6), pp.2159-2178Elsevier
摘要:Abstract(#br)The problem of variational data assimilation for a nonlinear evolution model is formulated as an optimal control problem to find unknown parameters such as distributed model coefficients or boundary conditions. The equation for the optimal solution error is deri...
作者:... J. Verron , J. Blum , F.-X. Le Dimet
来源:[J].Journal of Marine Systems(IF 2.655), 2005, Vol.57 (1), pp.70-82Elsevier
摘要:Abstract(#br)This paper presents a reduced-order approach for four-dimensional variational data assimilation, based on a prior EOF analysis of a model trajectory. This method implies two main advantages: a natural model-based definition of a multivariate background error covarian...
作者:... G.J.M. Copeland , F.-X. Le Dimet , V. Shutyaev
来源:[J].Journal of Computational Physics(IF 2.138), 2011, Vol.230 (22), pp.7923-7943Elsevier
摘要:Abstract(#br)The problem of variational data assimilation for a nonlinear evolution model is formulated as an optimal control problem to find the initial condition function. The data contain errors (observation and background errors), hence there will be errors in the optima...
作者:Y. Trémolet , F.-X. Le Dimet
来源:[J].Parallel Computing(IF 1.214), 1996, Vol.22 (5), pp.657-674Elsevier
摘要:Abstract(#br)The purpose of this paper is to show how variational data assimilation can be used to couple some models and to perform parallel algorithms. In a first part we will recall the general principles of Variational Data Assimilation and we will give an usual algorithm to ...

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