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Cambridge Texts in Applied Mathematics #15
A First Course in the Numerical Analysis of Differential Equations
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.
378 pages, Paperback
First published January 18, 1996
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May 9, 2016
Iserles is eminently readable, and an excellent reference.
December 28, 2019
Not thorough enough but definitely a great introduction to numerical methods.
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June 2, 2016 Arieh Iserles / 4416
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