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Partial differential equations arise in almost all areas of science, engineering, modeling, and forecasting. During the last two decades, pseudospectral methods have emerged as successful, and often superior, alternatives to better-known computational procedures - such as finite difference and finite element methods - in several key application areas. These areas include computational fluid dynamics, wave motion, and weather forecasting.
This book explains how, when, and why this pseudospectral approach works. In order to make the subject accessible to students as well as to researchers and engineers, the presentation incorporates illustrations, examples, heuristic explanations, and algorithms rather than rigorous theoretical arguments. A key theme of the book is to establish and exploit the close connection that exists between pseudospectral and finite difference methods.
This approach not only leads to new insights into already established pseudospectral procedures, but also provides many novel and powerful pseudospectral variations. This book will be of interest to graduate students, scientists, and engineers interested in applying pseudospectral methods to real problems.
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Previews available in: English
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Edition | Availability |
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1
Practical Guide to Pseudospectral Methods
2011, Cambridge University Press
in English
0511888058 9780511888052
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2
Practical Guide to Pseudospectral Methods
2009, Cambridge University Press
in English
0511626355 9780511626357
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3
Practical Guide to Pseudospectral Methods
1998, Cambridge University Press
in English
0521645646 9780521645645
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4
A practical guide to pseudospectral methods
1996, Cambridge University Press
in English
0521495822 9780521495820
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