Sebastian ReichCambridge University PressEdition: Reprint, 5/14/2015EAN 9781107663916, ISBN10: 1107663911Paperback, 308 pages, 24.4 x 17 x 1.9 cmLanguage: EnglishIn this book the authors describe the principles and methods behind probabilistic forecasting and Bayesian data assimilation. Instead of focusing on particular application areas, the authors adopt a general dynamical systems approach, with a profusion of low-dimensional, discrete-time numerical examples designed to build intuition about the subject. Part I explains the mathematical framework of ensemble-based probabilistic forecasting and uncertainty quantification. Part II is devoted to Bayesian filtering algorithms, from classical data assimilation algorithms such as the Kalman filter, variational techniques, and sequential Monte Carlo methods, through to more recent developments such as the ensemble Kalman filter and ensemble transform filters. The McKean approach to sequential filtering in combination with coupling of measures serves as a unifying mathematical framework throughout Part II. Assuming only some basic familiarity with probability, this book is an ideal introduction for graduate students in applied mathematics, computer science, engineering, geoscience and other emerging application areas.Preface1. Prologuehow to produce forecastsPart I. Quantifying Uncertainty2. Introduction to probability3. Computational statistics4. Stochastic processes5. Bayesian inferencePart II. Bayesian Data Assimilation6. Basic data assimilation algorithms7. McKean approach to data assimilation8. Data assimilation for spatio-temporal processes9. Dealing with imperfect modelsReferencesIndex.
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