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A First Course in the Numerical Analysis of Differential Equations |
$50.96 |
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Author: Iserles,Arieh
Publisher: Cambridge University Press
Format: Adobe PDF
Content Language: English
ISBN: 9780511500619
Print ISBN: 9780521734905
Size: 6,612 KB
Pages: 480
Publication Date: 2008-11-27
Category: Mathematics > Differential Equations
Territorial Restrictions: Available Worldwide
Digital Rights: Copy Count: 5 Copy Interval (Days): 30 Print Count: 20 Print Interval (Days): 30 Read Aloud: Enabled
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| DESCRIPTION |
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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 new 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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