First Course in the Numerical Analysis of Differential Equations

Name: First Course in the Numerical Analysis of Differential Equations
Price: 22.5 USD
Availability: InStock
ISBN: 9780521556552

ISBN-10: 0521556554

ISBN-13: 9780521556552

Edition: 1996

Authors: Arieh Iserles, D. G. Crighton, M. J. Ablowitz, S. H. Davis, E. J. Hinch

List price: $58.00

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Description:

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…

Book details

List price: $58.00
Copyright year: 1996
Publisher: Cambridge University Press
Publication date: 1/18/1996
Binding: Paperback
Pages: 400
Size: 7.00" wide x 10.00" long x 0.75" tall
Weight: 1.496
Language: English




Ordinary Differential Eqations



Euler's method and beyond



Multistep methods



Runge-Kutta methods



Stiff equations



Error control



Nonlinear algebraic systems



The Possion Equation



Finite difference schemes



The finite element method



Gaussian elimination for sparse linear equations



Iterative methods for sparse linear equations



Multigrid techniques



Fast Poisson solvers



Partial Differential Equations of Evolution



The diffusion equation



Hyperbolic equations


Appendix: a bluffer's guide to useful mathematics