ENGLISH

Dynamical systems and numerical analysis

By Stuart , A. M.; Humphries , A. R

Book information

Publisher
Cambridge University Press
Year
1998
ISBN
0521496721, 9780521496728
Language
english
Format
DJVU
Filesize
4 MB (4405733 bytes)
Series
Cambridge monographs on applied and computational mathematics 2
Edition
1
Pages
685\709
Library
kolxoz
DPI
600
Time added
2016-05-22 07:20:00

Description

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

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