A First Course in the Numerical Analysis of Differential Equations Cover

A First Course in the Numerical Analysis of Differential Equations

ISBN/ASIN: 0521556554,9780521556552 | 1996 | English | pdf | 378/393 pages | 61.3 Mb
Publisher: Cambridge University Press | Author: Arieh Iserles

This book presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The point of departure is mathematical but the exposition strives to maintain a balance among theoretical, algorithmic and applied aspects of the subject. In detail, topics covered include numerical solution of ordinary differential equations by multistep and Runge-Kutta methods; finite difference and finite elements techniques for the Poisson equation; a variety of algorithms to solve large, sparse algebraic systems; and methods for parabolic and hyperbolic differential equations and techniques of their analysis. The book is accompanied by an appendix that presents brief back-up in a number of mathematical topics.

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