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A First Course in the Numerical Analysis of Differential Equations

$50.96
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

Software Required:
Adobe Digital EditionsAdobe Digital Editions

Territorial Restrictions:
Available Worldwide

Digital Rights:
Copy Count: 5
Copy Interval (Days): 30
Print Count: 20
Print Interval (Days): 30
Read Aloud: Enabled

A First Course in the Numerical Analysis of Differential Equations
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DESCRIPTION
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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