Numerical methods for wave equations in geophysical fluid dynamics
著者
書誌事項
Numerical methods for wave equations in geophysical fluid dynamics
（Texts in applied mathematics, 32）
Springer, c1999
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- Introduction
- Basic Finite-Difference Methods
- Beyond Scalar Wave Equations
- Series-Expansion Methods
- Finite Volume Methods 6 Semi-Lagrangian Methods
- Physically Insignificant Fast Waves
- Non-reflecting Boundary conditions
- Appendix: Derivations of two fundamental theorems.
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