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Titlebook: Data Assimilation; A Mathematical Intro Kody Law,Andrew Stuart,Konstantinos Zygalakis Textbook 2015 Springer International Publishing Switz

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发表于 2025-3-21 19:39:23 | 显示全部楼层 |阅读模式
书目名称Data Assimilation
副标题A Mathematical Intro
编辑Kody Law,Andrew Stuart,Konstantinos Zygalakis
视频video
概述Provides a unified mathematical framework for the systematic study of data assimilation.Opens the area of data assimilation to mathematical and computational scientists.Explains how to think about ble
丛书名称Texts in Applied Mathematics
图书封面Titlebook: Data Assimilation; A Mathematical Intro Kody Law,Andrew Stuart,Konstantinos Zygalakis Textbook 2015 Springer International Publishing Switz
描述.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 isaimed 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
出版日期Textbook 2015
关键词Bayesian Statistics; Data Assimilation; Dynamical Systems; Filtering; Optimization
版次1
doihttps://doi.org/10.1007/978-3-319-20325-6
isbn_softcover978-3-319-36687-6
isbn_ebook978-3-319-20325-6Series ISSN 0939-2475 Series E-ISSN 2196-9949
issn_series 0939-2475
copyrightSpringer International Publishing Switzerland 2015
The information of publication is updating

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发表于 2025-3-21 21:58:21 | 显示全部楼层
https://doi.org/10.1007/978-3-319-95846-0hile ours are not necessarily the optimal implementations of the algorithms discussed in these notes, they have been structured to be simple to understand, to modify, and to extend. In particular, the code may be readily extended to solve problems more complex than those described in Examples .–., which we will use for most of our illustrations.
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Continuous Time: Formulation, formally taking the limit ., where . is the time increment between observations. We then concentrate on studying the properties of the resulting limiting continuous-time problems, and algorithms for them.
发表于 2025-3-22 12:03:43 | 显示全部楼层
0939-2475 and computational scientists.Explains how to think about ble.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
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Discrete Time: MATLAB Programs,hile ours are not necessarily the optimal implementations of the algorithms discussed in these notes, they have been structured to be simple to understand, to modify, and to extend. In particular, the code may be readily extended to solve problems more complex than those described in Examples .–., which we will use for most of our illustrations.
发表于 2025-3-22 22:57:40 | 显示全部楼层
Managing & Protecting Our Water Resourcesis discussed in Section 7.3. Section 7.4 is devoted to numerical illustrations of the methods introduced in the previous sections. The chapter concludes with bibliographic notes in Section 7.5 and exercises in Section 7.6.
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