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First Course in the Numerical Analysis of Differential Equations

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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…    
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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