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Academic & Professional Books  Reference  Data Analysis & Modelling  Data Analysis & Statistics

Discrete Inverse and State Estimation Problems With Geophysical Fluid Applications

By: Carl Wunsch
384 pages, no illustrations
Discrete Inverse and State Estimation Problems
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  • Discrete Inverse and State Estimation Problems ISBN: 9780521854245 Hardback Jun 2006 Usually dispatched within 6 days
Selected version: £103.00
About this book Contents Customer reviews Biography Related titles

About this book

The problems of making inferences about the natural world from noisy observations and imperfect theories occur in almost all scientific disciplines. This 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.


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.

Customer Reviews


Carl Wunsch is Cecil and Ida Green Professor of Physical Oceanography at the Department of Earth, Atmospheric and Planetary Sciences, Massachusetts Institute of Technology.
By: Carl Wunsch
384 pages, no illustrations
Media reviews
From the author's previous book, The Ocean Circulation Inverse Problem: ' ! written by an acknowledged master in the field.' 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, 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, Science
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