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Dynamic Data Assimilation - A Least Squares Approach (Hardcover)
Loot Price: R5,741
Discovery Miles 57 410
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Dynamic Data Assimilation - A Least Squares Approach (Hardcover)
Series: Encyclopedia of Mathematics and its Applications
Expected to ship within 12 - 19 working days
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Dynamic data assimilation is the assessment, combination and
synthesis of observational data, scientific laws and mathematical
models to determine the state of a complex physical system, for
instance as a preliminary step in making predictions about the
system's behaviour. The topic has assumed increasing importance in
fields such as numerical weather prediction where conscientious
efforts are being made to extend the term of reliable weather
forecasts beyond the few days that are presently feasible. This
book is designed to be a basic one-stop reference for graduate
students and researchers. It is based on graduate courses taught
over a decade to mathematicians, scientists, and engineers, and its
modular structure accommodates the various audience requirements.
Thus Part I is a broad introduction to the history, development and
philosophy of data assimilation, illustrated by examples; Part II
considers the classical, static approaches, both linear and
nonlinear; and Part III describes computational techniques. Parts
IV to VII are concerned with how statistical and dynamic ideas can
be incorporated into the classical framework. Key themes covered
here include estimation theory, stochastic and dynamic models, and
sequential filtering. The final part addresses the predictability
of dynamical systems. Chapters end with a section that provides
pointers to the literature, and a set of exercises with instructive
hints.
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