東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Data assimilation = a mathematical i...

Law, Kody.

Linked to FindBook

Google Book

Amazon

博客來

Data assimilation = a mathematical introduction /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Data assimilation/ by Kody Law, Andrew Stuart, Konstantinos Zygalakis.
Reminder of title:	a mathematical introduction /
Author:	Law, Kody.
other author:	Stuart, Andrew.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	xviii, 242 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Mathematical models. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-20325-6
ISBN:	9783319203256

Data assimilation = a mathematical introduction /
Law, Kody.

Data assimilationa mathematical introduction /[electronic resource] :by Kody Law, Andrew Stuart, Konstantinos Zygalakis. - Cham :Springer International Publishing :2015. - xviii, 242 p. :ill. (some col.), digital ;24 cm. - Texts in applied mathematics,v.620939-2475 ;. - Texts in applied mathematics ;40..

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.

ISBN: 9783319203256

Standard No.: 10.1007/978-3-319-20325-6doiSubjects--Topical Terms:

522882
Mathematical models.

LC Class. No.: QA401

Dewey Class. No.: 511.8

Data assimilation = a mathematical introduction /
LDR:02903nmm a2200325 a 4500 001 2013502
003 DE-He213
005 20160413141616.0
006 m d
007 cr nn 008maaau
008 160518s2015 gw s 0 eng d
020 $a 9783319203256 $q (electronic bk.)
020 $a 9783319203249 $q (paper)
024 7 $a 10.1007/978-3-319-20325-6 $2 doi
035 $a 978-3-319-20325-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QA401
072 7 $a PBWR $2 bicssc
072 7 $a MAT034000 $2 bisacsh
082 0 4 $a 511.8 $2 23
090 $a QA401 $b .L415 2015
100 1 $a Law, Kody. $3 2162949
245 1 0 $a Data assimilation $h [electronic resource] : $b a mathematical introduction / $c by Kody Law, Andrew Stuart, Konstantinos Zygalakis.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xviii, 242 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Texts in applied mathematics, $x 0939-2475 ; $v 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 Mathematical models. $3 522882
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 891276
650 2 4 $a Probability Theory and Stochastic Processes. $3 891080
650 2 4 $a Computational Mathematics and Numerical Analysis. $3 891040
650 2 4 $a Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. $3 1005896
700 1 $a Stuart, Andrew. $3 2162950
700 1 $a Zygalakis, Konstantinos. $3 2162951
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Texts in applied mathematics ; $v 40. $3 1566695
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-20325-6
950 $a Mathematics and Statistics (Springer-11649)