Discrete inverse and state estimation problems : with geophysical fluid applications

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書誌事項

Discrete inverse and state estimation problems : with geophysical fluid applications

Carl Wunsch

Cambridge University Press, 2011, c2006

  • : pbk

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注記

"First published 2006. First paperback edition 2011"--T.p. verso

"Colour plate section appears between page 182 and 183, and is also available for download in colour from www.cambridge.org/9781107406063"--p. [vi]

Bibliography: p. 357-366

Includes index

内容説明・目次

内容説明

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.

目次

  • Preface
  • Part I. Fundamental Machinery: 1. Introduction
  • 2. Basic machinery
  • 3. Extensions of methods
  • 4. The time-dependent inverse problem: state estimation
  • 5. Time-dependent methods (continued)
  • Part II. Applications: 6. Applications to steady problems
  • 7. Applications to time-dependent fluid problems
  • References
  • Index.

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