Dynamical Systems and Numerical Analysis (Cambridge Monographs on Applied and Computational Mathematics)

Andrew Stuart/ A. R. Humphries

ISBN 10: 0521496721 / ISBN 13: 9780521496728

Published by Cambridge Univ Pr, 1996

About this Item

685 pages. 9.50x6.50x1.50 inches. In Stock. This item is printed on demand.

Seller Inventory # __0521496721

Bibliographic Details

• Title: Dynamical Systems and Numerical Analysis (Cambridge Monographs on Applied and Computational Mathematics)
• Publisher: Cambridge Univ Pr
• Publication Date: 1996
• Language: English
• ISBN 10: 0521496721
• ISBN 13: 9780521496728
• Binding: Hardcover
• Condition: Brand New

About this title

Synopsis

This book unites the study of dynamical systems and numerical solution of differential equations. The first three chapters contain the elements of the theory of dynamical systems and the numerical solution of initial-value problems. In the remaining chapters, numerical methods are formulted as dynamical systems and the convergence and stability properties of the methods are examined. Topics studied include the stability of numerical methods for contractive, dissipative, gradient and Hamiltonian systems together with the convergence properties of equilibria, periodic solutions and strage attractors under numerical approximation. This book will be an invaluable tool for graduate students and researchers in the fields of numerical analysis and dynamical systems.

Book Description

The first three chapters contain the elements of the theory of dynamical systems and the numerical solution of initial-value problems. In the remaining chapters, numerical methods are formulated as dynamical systems and the convergence and stability properties of the methods are examined.