This is an introductory text on numerical weather prediction (numerically modelling the general circulation of the atmosphere), utilizing the spectral transform method. The book covers finite difference methods and time-differencing schemes; the theoretical development of the spectral transform method (using spherical surfaces rather than grids for determining variation in the elements of weather); physical processes; current issues in dynamical and physical initiation; and data analysis. Several practical examples of the spectral transform method are included.
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"[P]resents thoroughly the mathematics involved in modeling . . . storms, forecasting their paths, and understanding associated atmospheric dynamics. This book is intensively mathematical, with a focus on differential and integral calculus. . . . With respect to integral calculus, the section of the book on Gauss quadrature is interesting and unique . . . The two chapters on physical processes and initialization procedures are equally well written and explain the physical processes that must be accounted for in models . . . [I]f at all intrigued by how sophisticated weather forecasting has become . . . , then a reader will find this book not only interesting, but thorough enough to enable model development if that is a goal. Problems are presented at the end of each chapter, so this book can be used as a text in the classroom. Researchers involved in the modeling of turbulence, ocean systems, and tectonic systems may also value the presentations in this book."--Mathematical Geology
This is an introductory text on numerical weather prediction (numerically modelling the general circulation of the atmosphere), utilizing the spectral transform method. The book covers finite difference methods and time-differencing schemes; the theoretical development of the spectral transform method (using spherical surfaces rather than grids for determining variation in the elements of weather); physical processes; current issues in dynamical and physical initiation; and data analysis. Several practical examples of the spectral transform method are included.
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