Dynamical Systems and Numerical Analysis (Hardcover)
|Author: A. M./ Humphries Stuart|
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|This book unites the study of dynamical systems and numerical solution of differential equations.|
From the Publisher:
This book unites the study of dynamical systems and the numerical solution of differential equations. The first three chapters of the book contain the elements of the theory of dynamical systems and the numerical solution of initial-value problems. In the remaining chapters, the authors formulate numerical methods as they examine dynamical systems and the convergence and stability properties of the methods. They study topics including the stability of numerical methods for contractive, dissipative, gradient and Hamiltonian systems together with the convergence properties of equilibria, periodic solutions and strange 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.