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:This book emphasizes the numerical methods of solving boundary problems for nonlinear equations of aerohydrodynamics, especially partial differential and integro-differential equations. Topics discussed include an analysis of transonic gas flows and three-dimensional supersonic flows, the simulation of viscous fluid flows, perturbation development in a boundary layer, and approaches to constructing adaptive grids. The book will appeal to professional aeronautical engineers, applied physicists, applied mathematicians, and geophysicists. @
Progress in Aeronautical Sciences, Volume 5, contains six articles that belong to the field of aerodynamics. This accords well with one of the declared purposes of this series, to serve the general reader with accounts of those parts of the subject remote from his specialized interest, not only because his field of specialization is likely to change during his career but also because we are all students of one science. The first paper gives a comprehensive survey of low-speed wind-tunnels, those early tools of the aerodynamicist which seem likely to retain their importance indefinitely. The second deals with a basic feature of the separation of a laminar boundary layer from a wall in two-dim...
This important new book sets forth a comprehensive description of various mathematical aspects of problems originating in numerical solution of hyperbolic systems of partial differential equations. The authors present the material in the context of the important mechanical applications of such systems, including the Euler equations of gas dynamics, magnetohydrodynamics (MHD), shallow water, and solid dynamics equations. This treatment provides-for the first time in book form-a collection of recipes for applying higher-order non-oscillatory shock-capturing schemes to MHD modelling of physical phenomena. The authors also address a number of original "nonclassical" problems, such as shock wave ...
The Wiley Classics Library consists of selected books that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Series: T. W. Anderson The Statistical Analysis of Time Series T. S. Arthanari & Yadolah Dodge Mathematical Programming in Statistics Emil Artin Geometric Algebra Norman T. J. Bailey The Elements of Stochastic Processes with Applications to the Natural Sciences Robert G. Bartle The Elements of Integration and Lebesgue Measure George E. P. Box & Norman R. Draper E...
Similarities, differences, advantages and limitations of perturbation techniques are pointed out concisely. The techniques are described by means of examples that consist mainly of algebraic and ordinary differential equations. Each chapter contains a number of exercises.
This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten years to students in applied mathematics, engineering sciences, and physics. Each chapter begins with an introductory development involving ordinary differential equations, and goes on to cover such traditional topics as boundary layers and multiple scales. However, it also contains material arising from current research interest, including homogenisation, slender body theory, symbolic computing, and discrete equations. Many of the excellent exercises are derived from problems of up-to-date research and are drawn from a wide range of application areas.