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Computing Methods for Data Analysis and Assimilation presents a comprehensive, up-to-date treatment of data analysis and assimilation. With practical applications from a wide range of fields, including climatology, this book introduces the optimal control mathematical framework for the data assimilation concepts of state vector, control space, observations, and departures. The authors discuss the methodologies of both time-independent three-dimensional and four-dimensional variational data assimilation. They also present the mathematical concepts and methods underlying data adjustment methodology for both static and time-dependent systems.