Dynamical Systems and Numerical Analysis (Hardcover) (ISBN-13: 9780521496728)

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.

Author: A. M. Stuart, A. R. Humphries, Andrew Stuart
ISBN-10: 0521496721
ISBN-13: 9780521496728
Publisher: Cambridge University Press
Language: English
Published: 08/13/1996
Pages: 710
Format: Hardcover
Weight: 2.65lbs
Size: 9.00h x 6.00w x 1.69d