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Books > Science & Mathematics > Physics > Classical mechanics > Fluid mechanics
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Discrete Inverse and State Estimation Problems - With Geophysical Fluid Applications (Paperback)
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Discrete Inverse and State Estimation Problems - With Geophysical Fluid Applications (Paperback)
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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.
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