Numerical Solution of Partial Differential Equations

An Introduction

K.W. Morton, D.F. Mayers

227 pages, parution le 27/09/2004

Ajouter à une liste

Indisponible

Résumé

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.

Sommaire

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

Voir tout

Replier

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	K.W. Morton, D.F. Mayers
Parution	27/09/2004
Nb. de pages	227
Format	15 x 23
Couverture	Broché
Poids	391g
Intérieur	Noir et Blanc
EAN13	9780521429221
ISBN13	978-0-521-42922-1