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With this text, the authors unite the study of dynamical systems and numerical solution of differential equations. Coverage includes finite dimensional maps, global stability, Hamiltonian and conservative systems, and the convergence of invariant sets.
This book provides a systematic treatment of the mathematical underpinnings of work in data assimilation, covering both theoretical and computational approaches. Specifically the authors develop a unified mathematical framework in which a Bayesian formulation of the problem prov…