Discrete Inverse and State Estimation Problems: With Geophysical Fluid Applications - Softcover

Wunsch, Carl

Softcover

ISBN 10: 1107406064 ISBN 13: 9781107406063

Publisher: Cambridge University Press, 2012

Synopsis

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.

About this title

Review

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

Book Description

Addressing the problems of making inferences from noisy observations and imperfect theories, this 2006 book introduces many inference tools and practical applications. Starting with fundamental algebraic and statistical ideas, it is ideal for graduate students and researchers in oceanography, climate science, and geophysical fluid dynamics.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2012
• Language: English
• ISBN 10: 1107406064
• ISBN 13: 9781107406063
• Binding: Paperback
• Number of pages: 396