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Low-rank Approximations for Computing Observation Impact in 4D-Var Data\n Assimilation

2013/07/18 by Alexandru Cioaca, Cioaca, Alexandru, Adrian Sandu +1
Earth and Planetary Sciences · Engineering · Environmental Science · Physics and Astronomy · #Computational Engineering #FOS: Computer and information sciences #Finance #Meteorological Phenomena and Simulations #Model Reduction and Neural Networks #Reservoir Engineering and Simulation Methods #Soil Moisture and Remote Sensing #and Science (cs.CE)

paper · pdf · doi:10.48550/arxiv.1307.5076

openalex publication_date 2013/07/18 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

We present an efficient computational framework to quantify the impact of\nindividual observations in four dimensional variational data assimilation. The\nproposed methodology uses first and second order adjoint sensitivity analysis,\ntogether with matrix-free algorithms to obtain low-rank approximations of ob-\nservation impact matrix. We illustrate the application of this methodology to\nimportant applications such as data pruning and the identification of faulty\nsensors for a two dimensional shallow water test system.\n

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