Encyclopedia of mathematics and its applicationsseries number 104 dynamic data assimilation

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Dynamic data assimilation is the assessment, combination and synthesis of observational data, scientific laws and mathematical models to determine the state of a complex physical system, for instance as a preliminary step in making predictions about the system's behaviour. The topic has assumed increasing importance in fields such as numerical weather prediction where conscientious efforts are being made to extend the term of reliable weather forecasts beyond the few days that are presently feasible. This book is designed to be a basic one-stop reference for graduate students and researchers. It is based on graduate courses taught over a decade to mathematicians, scientists, and engineers, and its modular structure accommodates the various audience requirements. Thus Part I is a broad introduction to the history, development and philosophy of data assimilation, illustrated by examples; Part II considers the classical, static approaches, both linear and nonlinear; and Part III describes computational techniques. Parts IV to VII are concerned with how statistical and dynamic ideas can be incorporated into the classical framework. Key themes covered here include estimation theory, stochastic and dynamic models, and sequential filtering. The final part addresses the predictability of dynamical systems. Chapters end with a section that provides pointers to the literature, and a set of exercises with instructive hints.

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Taal: en

Bindwijze: Hardcover

Oorspronkelijke releasedatum: 03 augustus 2006

Aantal pagina's: 680

Illustraties: Met illustraties

Hoofdauteur: John M. Lewis

Tweede Auteur: S. Lakshmivarahan

Co Auteur: S. Lakshmivarahan

Hoofdredacteur: G.-C. Rota

Tweede Redacteur: B. Doran

Hoofduitgeverij: Cambridge University Press

Originele titel: Dynamic Data Assimilation: A Least Squares Approach

Editie: New title

Extra groot lettertype: Nee

Product breedte: 164 mm

Product hoogte: 39 mm

Product lengte: 244 mm

Verpakking breedte: 164 mm

Verpakking hoogte: 39 mm

Verpakking lengte: 244 mm

Verpakkingsgewicht: 1100 g

EAN: 9780521851558

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