An Introduction to Global Spectral Modeling

"[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 explainthe 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 onlyinteresting, 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

• 1. Introduction ; 2. An Introduction to Finite Differencing ; 3. Time Differencing Schemes ; 4. What Is a Spectral Model? ; 5. Lower-Order Spectral Model ; 6. Mathematical Aspects of Spectral Models ; 7. Multi-Level Spectral Modeling ; 8. Physical Procedures ; 9. Initialization Procedures ; 10. Spectral Energetics