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• W2048712177 abstract "A duality between two formulations of variational assimilation, three-dimensionsal (3D-Var) and the Physicalspace Statistical Analysis System (PSAS), is presented. It is shown that their conditioning is identical. the temporal extension of 3D-Var leads to 4D-Var. the temporal extension of PSAS, 4D-PSAS, is achieved using an algorithm inspired by the representer technique but without the explicit computation of the representers. Assuming the model is perfect, both 4D-Var and 4D-PSAS are equivalent in terms of results produced and cost. Assuming the model is not perfect, the equivalence is preserved, but in 4D-Var it is necessary to increase the size of the control variable while 4D-PSAS remains almost unchanged. In duality, 4D-Var remains almost unchanged by an increase in the number of observations used, whereas the size of the control variable in PSAS depends directly on this number." @default.
• W2048712177 created "2016-06-24" @default.
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• W2048712177 date "1997-10-01" @default.
• W2048712177 modified "2023-10-13" @default.
• W2048712177 title "Dual formulation of four-dimensional variational assimilation" @default.
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• W2048712177 doi "https://doi.org/10.1002/qj.49712354414" @default.
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