A First Course in the Numerical Analysis of Differential Equations (Cambridge Texts in Applied Mathematics, Series Number 15)

Arieh Iserles

ISBN 10: 0521556554 / ISBN 13: 9780521556552

Published by Cambridge University Press, 1996

About this Item

Seller Inventory # BSM.1ARU8

Bibliographic Details

• Title: A First Course in the Numerical Analysis of Differential Equations (Cambridge Texts in Applied Mathematics, Series Number 15)
• Publisher: Cambridge University Press
• Publication Date: 1996
• Language: English
• ISBN 10: 0521556554
• ISBN 13: 9780521556552
• Binding: Soft cover
• Condition: very_good

About this title

Synopsis

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.

Book Description

This text 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.