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Description - A First Course in the Numerical Analysis of Differential Equations by Arieh Iserles

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.

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Book Details

ISBN: 9780521734905
ISBN-10: 0521734908
Format: Paperback
(247mm x 174mm x 25mm)
Pages: 480
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 27-Nov-2008
Country of Publication: United Kingdom

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Author Biography - Arieh Iserles

Arieh Iserles is a Professor in Numerical Analysis of Differential Equations in the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge. He has been awarded the Onsager medal and served as a chair of the Society for Foundations of Computational Mathematics. He is also Managing Editor of Acta Numerica, Editor in Chief of Foundations of Computational Mathematics, and an editor of numerous other publications.

Books By Arieh Iserles

Acta Numerica 2016: Volume 25 by Arieh Iserles
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Acta Numerica 2015: Volume 24 by Arieh Iserles
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Acta Numerica 2014: Volume 23 by Arieh Iserles
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Acta Numerica 2013: Volume 22 by Arieh Iserles
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$198.00