Cargando…

Data Assimilation A Mathematical Introduction /

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...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Law, Kody (Autor), Stuart, Andrew (Autor), Zygalakis, Konstantinos (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:Texts in Applied Mathematics, 62
Temas:
Acceso en línea:Texto Completo

MARC

LEADER 00000nam a22000005i 4500
001 978-3-319-20325-6
003 DE-He213
005 20220112185037.0
007 cr nn 008mamaa
008 150905s2015 sz | s |||| 0|eng d
020 |a 9783319203256  |9 978-3-319-20325-6 
024 7 |a 10.1007/978-3-319-20325-6  |2 doi 
050 4 |a QA843-871 
072 7 |a GPFC  |2 bicssc 
072 7 |a MAT034000  |2 bisacsh 
072 7 |a GPFC  |2 thema 
082 0 4 |a 515.39  |2 23 
100 1 |a Law, Kody.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Data Assimilation  |h [electronic resource] :  |b A Mathematical Introduction /  |c by Kody Law, Andrew Stuart, Konstantinos Zygalakis. 
250 |a 1st ed. 2015. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2015. 
300 |a XVIII, 242 p. 61 illus., 41 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Texts in Applied Mathematics,  |x 2196-9949 ;  |v 62 
505 0 |a 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.   . 
520 |a 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.   . 
650 0 |a Dynamical systems. 
650 0 |a Probabilities. 
650 0 |a Mathematics-Data processing. 
650 0 |a Statistics . 
650 1 4 |a Dynamical Systems. 
650 2 4 |a Probability Theory. 
650 2 4 |a Computational Mathematics and Numerical Analysis. 
650 2 4 |a Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences. 
700 1 |a Stuart, Andrew.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Zygalakis, Konstantinos.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783319203249 
776 0 8 |i Printed edition:  |z 9783319203263 
776 0 8 |i Printed edition:  |z 9783319366876 
830 0 |a Texts in Applied Mathematics,  |x 2196-9949 ;  |v 62 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-319-20325-6  |z Texto Completo 
912 |a ZDB-2-SMA 
912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713)