1.

Record Nr.

UNINA9910457572303321

Autore

Wunsch Carl

Titolo

Discrete inverse and state estimation problems : with geophysical fluid applications / / Carl Wunsch [[electronic resource]]

Pubbl/distr/stampa

Cambridge : , : Cambridge University Press, , 2006

ISBN

1-107-16577-6

1-280-48007-6

0-511-22063-4

0-511-22124-X

0-511-21927-X

0-511-53594-5

0-511-31695-X

0-511-21995-4

Descrizione fisica

1 online resource (xi, 371 pages) : digital, PDF file(s)

Disciplina

551.4601519287

Soggetti

Oceanography - Mathematical models

Estimation theory

Geophysics - Fluid models

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Fundamental machinery -- Basic machinery -- Extensions of methods -- The time-dependent inverse problem : state estimation -- Time-dependent methods 2 -- Applications to steady problems -- Applications to time-dependent fluid problems.

Sommario/riassunto

The problems of making inferences about the natural world from noisy observations and imperfect theories occur in almost all scientific disciplines. This 2006 book addresses these problems using examples taken from geophysical fluid dynamics. It focuses on discrete formulations, both static and time-varying, known variously as inverse, state estimation or data assimilation problems. Starting with fundamental algebraic and statistical ideas, the book guides the reader through a range of inference tools including the singular value decomposition, Gauss-Markov and minimum variance estimates,



Kalman filters and related smoothers, and adjoint (Lagrange multiplier) methods. The final chapters discuss a variety of practical applications to geophysical flow problems. Discrete Inverse and State Estimation Problems is an ideal introduction to the topic for graduate students and researchers in oceanography, meteorology, climate dynamics, and geophysical fluid dynamics. It is also accessible to a wider scientific audience; the only prerequisite is an understanding of linear algebra.