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  3. Discrete Inverse and State Estimation Problems
  • Cited by 105
Publisher:
Cambridge University Press
Online publication date:
October 2009
Print publication year:
2006
Online ISBN:
9780511535949
DOI:
https://doi.org/10.1017/CBO9780511535949
Subjects:
Mathematics, Earth and Environmental Sciences, Fluid Dynamics and Solid Mechanics, Oceanography and Marine Science
Information

Book description

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.

Reviews

From the author’s previous book, The Ocean Circulation Inverse Problem:' … written by an acknowledged master in the field.'

Source: The Times Higher Education Supplement

‘Wunsch has met his objectives of producing an extensive discussion of finite-dimensional inverse methods applied to the ocean circulation inverse problem. Practitioners will find it an important contribution to their bookshelves … a unique introduction to inverse methods with a healthy dose of critical scientific method.’

Philip Bogden Source: American Meteorological Society Bulletin

‘Wunsch has been a pioneer in adapting statistical methods from other scientific fields to oceanography … A tremendous amount of experience is distilled in this book.’

Kirk Bryan Source: Science

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