A First Course in the Numerical Analysis of Differential Equations (Paperback) (ISBN-13: 9780521734905)

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.

Author: Arieh Iserles
ISBN-10: 0521734908
ISBN-13: 9780521734905
Publisher: Cambridge University Press
Language: English
Published: 11/27/2008
Pages: 480
Format: Paperback
Weight: 1.95lbs
Size: 9.60h x 6.90w x 1.00d

Review Citation(s):
Choice 01/01/2010