04961nam 22007815 450 991030025600332120200703234653.03-319-20325-810.1007/978-3-319-20325-6(CKB)3710000000521687(SSID)ssj0001585011(PQKBManifestationID)16265546(PQKBTitleCode)TC0001585011(PQKBWorkID)14866041(PQKB)10431927(DE-He213)978-3-319-20325-6(MiAaPQ)EBC6312568(MiAaPQ)EBC5587031(Au-PeEL)EBL5587031(OCoLC)921141174(PPN)189803010(EXLCZ)99371000000052168720150905d2015 u| 0engurnn|008mamaatxtccrData Assimilation A Mathematical Introduction /by Kody Law, Andrew Stuart, Konstantinos Zygalakis1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (XVIII, 242 p. 61 illus., 41 illus. in color.) Texts in Applied Mathematics,0939-2475 ;62Bibliographic Level Mode of Issuance: Monograph3-319-20324-X Includes bibliographical references and index.Mathematical background -- Discrete Time: Formulation -- Discrete Time: Smoothing Algorithms -- Discrete Time: Filtering Algorithms -- Discrete Time: MATLAB Programs -- Continuous Time: Formulation -- Continuous Time: Smoothing Algorithms -- Continuous Time: Filtering Algorithms -- Continuous Time: MATLAB Programs -- Index.   .This book provides a systematic treatment of the mathematical underpinnings of work in data assimilation, covering both theoretical and computational approaches. Specifically the authors develop a unified mathematical framework in which a Bayesian formulation of the problem provides the bedrock for the derivation, development and analysis of algorithms; the many examples used in the text, together with the algorithms which are introduced and discussed, are all illustrated by the MATLAB software detailed in the book and made freely available online. The book is organized into nine chapters: the first contains a brief introduction to the mathematical tools around which the material is organized; the next four are concerned with discrete time dynamical systems and discrete time data; the last four are concerned with continuous time dynamical systems and continuous time data and are organized analogously to the corresponding discrete time chapters. This book is aimed at mathematical researchers interested in a systematic development of this interdisciplinary field, and at researchers from the geosciences, and a variety of other scientific fields, who use tools from data assimilation to combine data with time-dependent models. The numerous examples and illustrations make understanding of the theoretical underpinnings of data assimilation accessible. Furthermore, the examples, exercises and MATLAB software, make the book suitable for students in applied mathema tics, either through a lecture course, or through self-study.   .Texts in Applied Mathematics,0939-2475 ;62DynamicsErgodic theoryProbabilitiesComputer scienceMathematicsStatisticsDynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XProbability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Computational Mathematics and Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M1400XStatistics for Engineering, Physics, Computer Science, Chemistry and Earth Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/S17020Dynamics.Ergodic theory.Probabilities.Computer scienceMathematics.Statistics.Dynamical Systems and Ergodic Theory.Probability Theory and Stochastic Processes.Computational Mathematics and Numerical Analysis.Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.511.8Law Kodyauthttp://id.loc.gov/vocabulary/relators/aut755620Stuart Andrewauthttp://id.loc.gov/vocabulary/relators/autZygalakis Konstantinosauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910300256003321Data Assimilation2527087UNINA