NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS by Morton, K W ISBN 0521429226
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[edit] NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS
The emphasis of this book is on finite difference methods for simple examples of parabolic, hyperbolic and elliptic equations, treated in that order; finite element, finite volume and spectral methods are also presented and related to the main theme. Stability is also treated.
Partial differential equations are the chief means of providing mathematical models in science, engineering and other fields. Generally these models must be solved numerically. This book provides a concise introduction to standard numerical techniques, ones chosen on the basis of their general utility for practical problems. The authors emphasise finite difference methods for simple examples of parabolic, hyperbolic and elliptic equations; finite element, finite volume and spectral methods are discussed briefly to see how they relate to the main theme. Stability is treated clearly and rigorously using maximum principles, energy methods, and discrete Fourier analysis. Methods are described in detail for simple problems, accompanied by typical graphical results. A key feature is the thorough analysis of the properties of these methods. Plenty of examples and exercises of varying difficulty are supplied. The book is based on the extensive teaching experience of the authors, who are also well-known for their work on practical and theoretical aspects of numerical analysis. It will be an excellent choice for students and teachers in mathematics, engineering and computer science departments seeking a concise introduction to the subject.
[edit] Book Details
[edit] Title
NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS
[edit] Author
Morton, K W
[edit] ISBN
0521429226
[edit] Published
20/10/1994
[edit] Publisher
Cambridge University Press
[edit] Binding
paperback
[edit] Retail Price
21.99 (GBP)
[edit] Typical Price Online
21.99 (GBP)
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