Editorial Review:
This scholarly text provides an introduction to the numerical methods used to model partial differential equations, with focus on atmospheric and oceanic flows.The book covers both the essentials of building a numerical model and the more sophisticated techiniques that are now available. Finite difference methods, spectral methods, finite element method, flux-corrected methods and TVC schemes are all discussed. Throughout the book the author has provided a middle ground between the theorem-proof formalism of a mathematical text and the highly empirical approach found in some engineering publications. The book establishes a concrete link between the theory and practice using an extensive range of test problems to illustrate the theoretically derived properties of various methods. Numerical Methods for Geophysical Fluid Dynamics will be useful as a senior undergraduate and graduate text and reference for those teaching numerical methods particularly those concentrating on fluid dynamics. Dale R Durran is a Professor at the University of Washington, Seattle. Cached date: AWS Called=true
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Customer Reviews
Average Customer Rating: 
A great textbook! 2000-03-15 In this introductory text space is equally divided into traditional methods (finite difference and spectral) and more modern methods (finite volume and semi-Lagrangian) for solving GFD-related PDEs. The book also contains chapters on filtering of physically insignificant fast waves and on open boundary conditions. Arguably these subjects can be learned by studying a collection of specialty books, but very seldom one finds even-handed treatment of all major techniques in a single book like this. More important, the breadth in scope does not come at the cost of depth or conciseness in presentation. Rather, the book achieves a delightful balance between breadth and depth, as well as between theory and practice. Not only is it an important successer to the long-respected Haltiner and Williams (1984), but it is much more readable. I used the book to teach a graduate course on numerical methods at the University of Chicago. I could not cover the entire book in a 10-week quarter, but was able to cover chapters 2,3,4 and 5. The clearly written text was very helpful in organizing the class material. The problems sets at the end of each chapter are also well designed, albeit mostly theoretical. It would be helpful to have separate programming assignments based on these problems, so students can learn how to apply principles into practice.
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