Data Assimilation: Mathematical Concepts and Instructive Examples
Data Assimilation: Mathematical Concepts and Instructive ExamplesData Assimilation is a set of mathematical techniques allowing us to use all the information available within a time frame. This includes observational data, any a priori information we may have and a deterministic or stochastic model describing our system, and encapsulating our theoretical understanding. The mathematical basis is the estimation theory or theory of the inverse problem that is an organized set of mathematical techniques for obtaining useful information about the physical world on the basis of observation.
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