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001 https://directory.doabooks.org/handle/20.500.12854/81696
005 20220714195339.0
020 _a978-3-030-96709-3
020 _a9783030967093
024 7 _a10.1007/978-3-030-96709-3
_cdoi
041 0 _aEnglish
042 _adc
072 7 _aRB
_2bicssc
072 7 _aPBT
_2bicssc
072 7 _aPBTB
_2bicssc
100 1 _aEvensen, Geir
_4auth
_91285166
700 1 _aVossepoel, Femke C.
_4auth
_91285168
700 1 _avan Leeuwen, Peter Jan
_4auth
_91285169
245 1 0 _aData Assimilation Fundamentals : A Unified Formulation of the State and Parameter Estimation Problem
260 _aCham
_bSpringer Nature
_c2022
300 _a1 electronic resource (245 p.)
506 0 _aOpen Access
_2star
_fUnrestricted online access
520 _aThis open-access textbook's significant contribution is the unified derivation of data-assimilation techniques from a common fundamental and optimal starting point, namely Bayes' theorem. Unique for this book is the "top-down" derivation of the assimilation methods. It starts from Bayes theorem and gradually introduces the assumptions and approximations needed to arrive at today's popular data-assimilation methods. This strategy is the opposite of most textbooks and reviews on data assimilation that typically take a bottom-up approach to derive a particular assimilation method. E.g., the derivation of the Kalman Filter from control theory and the derivation of the ensemble Kalman Filter as a low-rank approximation of the standard Kalman Filter. The bottom-up approach derives the assimilation methods from different mathematical principles, making it difficult to compare them. Thus, it is unclear which assumptions are made to derive an assimilation method and sometimes even which problem it aspires to solve. The book's top-down approach allows categorizing data-assimilation methods based on the approximations used. This approach enables the user to choose the most suitable method for a particular problem or application. Have you ever wondered about the difference between the ensemble 4DVar and the "ensemble randomized likelihood" (EnRML) methods? Do you know the differences between the ensemble smoother and the ensemble-Kalman smoother? Would you like to understand how a particle flow is related to a particle filter? In this book, we will provide clear answers to several such questions. The book provides the basis for an advanced course in data assimilation. It focuses on the unified derivation of the methods and illustrates their properties on multiple examples. It is suitable for graduate students, post-docs, scientists, and practitioners working in data assimilation.
540 _aCreative Commons
_fby/4.0/
_2cc
_4http://creativecommons.org/licenses/by/4.0/
546 _aEnglish
650 7 _aEarth sciences
_2bicssc
_972931
650 7 _aProbability & statistics
_2bicssc
_9947505
650 7 _aBayesian inference
_2bicssc
_91283605
653 _aData Assimilation
653 _aParameter Estimation
653 _aEnsemble Kalman Filter
653 _a4DVar
653 _aRepresenter Method
653 _aEnsemble Methods
653 _aParticle Filter
653 _aParticle Flow
856 4 0 _awww.oapen.org
_uhttps://library.oapen.org/bitstream/20.500.12657/54434/1/978-3-030-96709-3.pdf
_70
_zDOAB: download the publication
856 4 0 _awww.oapen.org
_uhttps://directory.doabooks.org/handle/20.500.12854/81696
_70
_zDOAB: description of the publication
999 _c3022431
_d3022431