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# ðŸ“™ Numerical methods for fluid dynamics: With applications to geophysics by Dale R. Durran (auth.) â€” free epub

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This book is a major revision of Numerical Methods for Wave Equations in Geophysical Fluid Dynamics; the new title of the second edition conveys its broader scope. The second edition is designed to serve graduate students and researchers studying geophysical fluids, while also providing a non-discipline-specific introduction to numerical methods for the solution of time-dependent differential equations. The methods considered are those at the foundation of real-world atmospheric or ocean models, with the focus being on the essential mathematical properties of each method. The fundamental character of each scheme is examined in prototypical fluid-dynamical problems like tracer transport, chemically reacting flow, shallow-water waves, and waves in an internally stratified fluid. The book includes exercises and is well illustrated with figures linking theoretical analyses to results from actual computations. Changes from the first edition include new chapters, discussions and updates throughout. Dale Durran is Professor and Chair of Atmospheric Sciences and Adjunct Professor of Applied Mathematics at the University of Washington. Reviews from the First Edition: â€œThis book will no doubt become a standard within the atmospheric science community, but its comfortable applied mathematical style will also appeal to many interested in computing advective flows and waves. It is a contemporary and worthy addition to the still-sparse list of quality graduate-level references on the numerical solution of PDEs." SIAM Review, 2000, 42, 755-756 (by David Muraki) â€œThis book presents an extensive overview of past and current numerical methods used in the context of solving wave systems â€¦ It is directed primarily at flows that do not develop shocks and focuses on standard fluid problems including tracer transport, the shallow-water equations and the Euler equations â€¦ the book is well organized and written and fills a long-standing void for collected material on numerical methods useful for studying geophysical flows." Bulletin of the American Meteorological Society, 2000, 81, 1080-1081 (by Robert Wilhelmson)

- Series:
**Texts in Applied Mathematics 32** - Author:
**Dale R. Durran (auth.)** - Year:
**2010** - Publisher:
**Springer-Verlag New York** - Language:
**English** - ISBN:
**1441964118,9781441964113**

- File size:
**3 607 666** - Format:
**pdf**

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Dynamical systems arise in all fields of applied mathematics. The author focuses on the description of numerical methods for the detection, computation, and continuation of equilibria and bifurcation points of equilibria of dynamical systems. This subfiel...

This considerably extended and completely revised second edition incorporates many new developments in the thriving field of numerical methods for singularly perturbed differential equations. It provides a thorough foundation for the numerical analysis an...

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Mark H.A. Davis introduced the Piecewise-Deterministic Markov Process (PDMP) class of stochastic hybrid models in an article in 1984. Today it is used to model a variety of complex systems in the fields of engineering, economics, management sciences, biol...

In recent years the study of numerical methods for solving ordinary differential equations has seen many new developments. This second edition of the author's pioneering text is fully revised and updated to acknowledge many of these developments.Â It incl...

The purpose of this book is to present the basic elements of numerical methods for compressible flows. It is appropriate for advanced undergraduate and graduate students and specialists working in high speed flows. The focus is on the unsteady one-dimensi...

First, many-boson states are discussed and boson creation- and annihilation operators are introduced. The Hamilton operator of the interacting boson model is expressed in terms of Casimir operators. The first special case of this model including electroma...

I would expect to see fairness in pricing of Kindle Books as opposed to hard or paper bound copies of the same book. But on 12 Jul 2010, here was the price structure for each edition of the book: Hardcover ....... $44.30 Kindle Edition .. $57.60 Paper...

The surreal numbers form a system which includes both the ordinary real numbers and the ordinals. Since their introduction by J. H. Conway, the theory of surreal numbers has seen a rapid development revealing many natural and exciting properties. These no...

So much has to be crammed into today's biology courses that basic information on animal groups and their evolutionary origins is often left out. This is particularly true for the invertebrates. The second edition of Janet Moore's An Introduction to the In...

The authors have backgrounds which are ideally suited for writing this book. The late C. Truesdell is well known for his monumental treatises on continuum thermomechanics. K.R. Rajagopal has made many important contributions to the mechanics of continua i...

This introduction to the philosophy of mathematics focuses on contemporary debates in an important and central area of philosophy. The reader is taken on a fascinating and entertaining journey through some intriguing mathematical and philosophical territo...