Dynamic Data Assimilation: A Least Squares Approach by John M. Lewis,S. Lakshmivarahan,Sudarshan Dhall PDF

By John M. Lewis,S. Lakshmivarahan,Sudarshan Dhall

ISBN-10: 0521851556

ISBN-13: 9780521851558

Dynamic information assimilation is the evaluate, mixture and synthesis of observational info, medical legislation and mathematical types to figure out the kingdom of a posh actual approach, for example as a initial step in making predictions in regards to the system's behaviour. the subject has assumed expanding significance in fields resembling numerical climate prediction the place conscientious efforts are being made to increase the time period of trustworthy climate forecasts past the few days which are shortly possible. This e-book is designed to be a uncomplicated one-stop reference for graduate scholars and researchers. it really is in response to graduate classes taught over a decade to mathematicians, scientists, and engineers, and its modular constitution incorporates many of the viewers necessities. hence half I is a vast advent to the background, improvement and philosophy of knowledge assimilation, illustrated via examples; half II considers the classical, static techniques, either linear and nonlinear; and half III describes computational thoughts. elements IV to VII are interested by how statistical and dynamic principles will be integrated into the classical framework. Key subject matters coated right here comprise estimation idea, stochastic and dynamic versions, and sequential filtering. the ultimate half addresses the predictability of dynamical platforms. Chapters finish with a piece that offers tips to the literature, and a suite of routines with instructive hints.

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Dynamic Data Assimilation: A Least Squares Approach (Encyclopedia of Mathematics and its Applications) by John M. Lewis,S. Lakshmivarahan,Sudarshan Dhall

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