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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.
| ISBN | 0387983767 | | Volumes | 1 | | ISBN13 | 9780387983769
(What's this?) | | Weight (grammes) | 1890 | | Publisher | Springer-Verlag New York Inc. | | Published in | New York, NY | | Imprint | Springer-Verlag New York Inc. | | Series editor | John, F., Marsden, J.E., et al | | Format | Hardback | | Series ISSN | 32 | | Publication date | 25 Nov 1998 | | Series title | Texts in Applied Mathematics | | Library of Congress | 98-24739 | | Height (mm) | 156 | | DEWEY | 551.01532 | | Width (mm) | 234 | | DEWEY edition | DC21 | | Spine width (mm) | 28 | | Pages | 482 | | Academic level | Postgraduate, Professional / Scholarly |
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| | | Series Preface | | | | | | Preface | | | | 1 | | Introduction | | 1 | | 2 | | Basic Finite-Difference Methods | | 35 | | 3 | | Beyond the One-Way Wave Equation | | 107 | | 4 | | Series-Expansion Methods | | 173 | | 5 | | Finite Volume Methods | | 241 | | 6 | | Semi-Lagrangian Methods | | 303 | | 7 | | Physically Insignificant Fast Waves | | 335 | | 8 | | Nonreflecting Boundary Conditions | | 395 | | App | | Numerical Miscellany | | 439 | | | | Bibliography | | 443 | | | | Index | | 457 |
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