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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… more 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. less
- ISBN:
- 9780521734905
- 9780521734905
- Category:
- Numerical analysis
- Format:
- Paperback
- Publication Date:
- 27-11-2008
- Language:
- English
- Publisher:
- Cambridge University Press
- Country of origin:
- United Kingdom
- Edition:
- 2nd Edition
- Pages:
- 480
- Dimensions:
- 244x175x25mm
- Weight:
- 0.88kg
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