Numerical Solution of Partial Differential Equations

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

ISBN 10: 0521429226 / ISBN 13: 9780521429221

Editore: Cambridge: Cambridge University Press, 1994

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Octavo in stiff paper wraps. Diagrams. Near fine condition. 227 pages. Codice articolo 301351

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Titolo: Numerical Solution of Partial Differential ...

Casa editrice: Cambridge: Cambridge University Press

Data di pubblicazione: 1994

Legatura: Soft cover

Condizione: Near Fine

Condizione sovraccoperta: No Jacket

Edizione: 1st Edition

Descrizione articolo

Riassunto:

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.

Recensione:

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