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Title: A FIRST COURSE IN THE NUMERICAL ANALYSIS OF DIFFERENTIAL EQUATIONS
By: Arieh Iserles
Format: Paperback

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ISBN 10: 0521734908
ISBN 13: 9780521734905
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Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 27 November, 2008
Edition: 2nd Revised edition
Series: Cambridge Texts in Applied Mathematics No. 44
Pages: 480
Description: An extensively updated second edition including new chapters on emerging subject areas: geometric numerical integration, spectral methods and conjugate gradients.
Synopsis: Numerical analysis presents different faces to the world. For mathematicians it is a bona fide mathematical theory with an applicable flavour. For scientists and engineers it is a practical, applied subject, part of the standard repertoire of modelling techniques. For computer scientists it is a theory on the interplay of computer architecture and algorithms for real-number calculations. The tension between these standpoints is the driving force of this book, which presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The exposition maintains a balance between theoretical, algorithmic and applied aspects. This second edition has been extensively updated, and includes new chapters on emerging subject areas: geometric numerical integration, spectral methods and conjugate gradients. Other topics covered include multistep and Runge-Kutta methods; finite difference and finite elements techniques for the Poisson equation; and a variety of algorithms to solve large, sparse algebraic systems.
Illustrations: 4 b/w illus. 163 exercises
Publication: UK
Imprint: Cambridge University Press
Returns: Returnable
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