Numerical Solution of Partial Differential Equations

K.W. Morton, D.F. Mayers

302 pages, parution le 01/04/2005 (2^eme édition)

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Résumé

This is the second edition of a highly successful and well-respected textbook on the numerical techniques used to solve partial differential equations arising from mathematical models in science, engineering and other fields. The authors maintain an emphasis on finite difference methods for simple but representative examples of parabolic, hyperbolic and elliptic equations from the first edition. However this is augmented by new sections on finite volume methods, modified equation analysis, symplectic integration schemes, convection-diffusion problems, multigrid, and conjugate gradient methods; and several sections, including that on the energy method of analysis, have been extensively rewritten to reflect modern developments. Already an excellent choice for students and teachers in mathematics, engineering and computer science departments, the revised text brings the reader up-to-date with the latest theoretical and industrial developments.

Second edition of well known and respected graduate textbook
Revision includes new material on multigrid and conjugate gradient methods giving it modern relevance
Updated problem sets with solutions available from solutions@cambridge.org

Sommaire

Introduction
Parabolic equations in one space variable
2-D and 3-D parabolic equations
Hyperbolic equations in one space dimension
Consistency, convergence and stability
Linear second order elliptic equations in two dimensions
Iterative solution of linear algebraic equations

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	K.W. Morton, D.F. Mayers
Parution	01/04/2005
Édition	2^eme édition
Nb. de pages	302
Format	15,5 x 23
Couverture	Broché
Poids	490g
Intérieur	Noir et Blanc
EAN13	9780521607933
ISBN13	978-0-521-60793-3