A First Course in the Numerical Analysis of Differential Equations(English, Paperback, Iserles Arieh)

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A First Course in the Numerical Analysis of Differential Equations(English, Paperback, Iserles Arieh) is written by Iserles Arieh and published by Cambridge University Press. It's available with International Standard Book Number or ISBN identification 0521734908 (ISBN 10) and 9780521734905 (ISBN 13).

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.