TY  - BOOK
AU  - Wunsch,Carl
TI  - Discrete inverse and state estimation problems: with geophysical fluid applications 
SN  - 9780511535949 (ebook)
AV  - GC10.4.M36 W86 2006
U1  - 551.4601519287 22
PY  - 2006///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Oceanography
KW  - Mathematical models
KW  - Estimation theory
KW  - Geophysics
KW  - Fluid models
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015); 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
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511535949
ER  -