Numerical Solution of Partial Differential Equations - Hardcover

Morton, K. W.; Mayers, D. F.

Hardcover

ISBN 10: 0521418550 ISBN 13: 9780521418553

Publisher: Cambridge University Press, 1994

Synopsis

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.

About this title

Review

'... recommended to every student in applied mathematics and numerical analysis.' Numerical Algorithms

Book Description

The 2005 second edition of a highly successful graduate text giving a complete introduction to partial differential equations and numerical analysis. Revised to include new sections on finite volume methods, modified equation analysis, multigrid, and conjugate gradient methods.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1994
• ISBN 10: 0521418550
• ISBN 13: 9780521418553
• Binding: Hardcover
• Language: English
• Number of pages: 239