First Course in the Numerical Analysis of Differential Equations PDF
by Arieh Iserles
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 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.
Information
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Download - Immediately Available
- Format:PDF
- Publisher:Cambridge University Press
- Publication Date:27/11/2008
- Category:
- ISBN:9780511500619
Other Formats
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Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Cambridge University Press
- Publication Date:27/11/2008
- Category:
- ISBN:9780511500619
