书目名称 | Data Assimilation Fundamentals |
副标题 | A Unified Formulatio |
编辑 | Geir Evensen,Femke C. Vossepoel,Peter Jan van Leeu |
视频video | |
概述 | Derives data-assimilation methods using a top-down approach.Presents unified data-assimilation formulation.Derivation applicable to both state- and parameter estimation.Provides a deep understanding o |
丛书名称 | Springer Textbooks in Earth Sciences, Geography and Environment |
图书封面 |  |
描述 | .This 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 fo |
出版日期 | Textbook‘‘‘‘‘‘‘‘ 2022 |
关键词 | Open Access; Data Assimilation; Parameter Estimation; Ensemble Kalman Filter; 4DVar; Representer Method; E |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-96709-3 |
isbn_softcover | 978-3-030-96711-6 |
isbn_ebook | 978-3-030-96709-3Series ISSN 2510-1307 Series E-ISSN 2510-1315 |
issn_series | 2510-1307 |
copyright | The Editor(s) (if applicable) and The Author(s) 2022 |