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AuthorDurran, Dale R. author
TitleNumerical Methods for Wave Equations in Geophysical Fluid Dynamics [electronic resource] / by Dale R. Durran
ImprintNew York, NY : Springer New York : Imprint: Springer, 1999
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Descript XVII, 466 p. 124 illus. online resource


Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modem as weIlas the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in AppliedMathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinยญ force the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and enยญ courage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the AppliedMathematical Seiยญ ences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface This book is designed to serve as a textbook for graduate students or advanced undergraduates studying numerical methods for the solution of partial differenยญ tial equations goveming wave-like flows. Although the majority of the schemes presented in this text were introduced ineither the applied-rnathematics or atmosยญ pheric-science literature, the focus is not on the nuts-and-bolts details of various atmospheric models but on fundamental numerical methods that have applications in a wide range of scientific and engineering disciplines


1 Introduction -- 2 Basic Finite-Difference Methods -- 3 Beyond the One-Way Wave Equation -- 4 Series-Expansion Methods -- 5 Finite Volume Methods -- 6 Semi-Lagrangian Methods -- 7 Physically Insignificant Fast Waves -- 8 Nonreflecting Boundary Conditions -- Appendix Numerical Miscellany -- A.1 Finite-Difference Operator Notation -- A.2 Tridiagonal Solvers -- A.2.1 Code for a Tridiagonal Solver -- A.2.2 Code for a Periodic Tridiagonal Solver

Mathematics Geophysics Numerical analysis Mathematics Numerical Analysis Geophysics/Geodesy


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