Abstract
The chapter introduces the basic data assimilation methods used in meteorological modelling. After briefly recalling the mathematical notions and tools needed, we present the optimal interpolation, the variational methods, and the Kálmán Filter techniques in one and more dimensions. In order to illustrate the use of the methods introduced, we present the results of numerical experiments done for simple models.
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Acknowledgements
The authors thank Gergely Bölöni for the careful reading, the corrections, and the useful suggestions. The financial support of the “Stiftung Aktion Österreich-Ungarn” (project nr. 89öu11) is kindly acknowledged.
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Bodó, Á., Csomós, P. (2016). An Invitation to Meteorological Data Assimilation. In: Bátkai, A., Csomós, P., Faragó, I., Horányi, A., Szépszó, G. (eds) Mathematical Problems in Meteorological Modelling. Mathematics in Industry(), vol 24. Springer, Cham. https://doi.org/10.1007/978-3-319-40157-7_9
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DOI: https://doi.org/10.1007/978-3-319-40157-7_9
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