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Strategies to achieve order reduction in four-dimensional variational data assimilation (4DVAR) search for an optimal low-rank state subspace for the analysis update. A common feature of the reduction methods proposed in atmospheric and oceanographic studies is that the identification of the basis functions relies on the model dynamics only, without properly accounting for the specific details of the data assimilation system (DAS). In this study a general framework of the proper orthogonal decomposition (POD) method is considered and a cost-effective approach

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This page is a summary of: A Dual-Weighted Approach to Order Reduction in 4DVAR Data Assimilation, Monthly Weather Review, March 2008, American Meteorological Society,
DOI: 10.1175/2007mwr2102.1.
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