Numerical Solution of Partial Differential Equations - K. W. Morton, D. F. Mayers, K. W. W. Morton, Mayers, D. F (1995)
ISBN 0521429226
Subject Differential equations, Partial - Numerical solutions
Publisher Cambridge University Press
Publication Date 1/27/1995
Format Paperback (229 x 152 mm)
Language e
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.
Personal Details
Collection Status In Collection
Index 113
Read It Yes
Links Amazon US
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Product Details
LoC Classification QA377 .M69 1994
Dewey 515/.353
Cover Price $34.99
No. of Pages 239