Dynamical Systems and Numerical Analysis by A.M. Stuart (English) Hardcover Book

Description: Dynamical Systems and Numerical Analysis by A.M. Stuart, A.R. Humphries 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. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher 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. Table of Contents 1. Finite dimensional maps; 2. Ordinary differential equations; 3. Numerical methods for initial value problems; 4. Numerical methods as dynamical systems; 5. Global stability; 6. Convergence of invariant sets; 7. Global properties and attractors under discretisation; 8. Hamiltonian and conservative systems; Appendices; Bibliography; Index. Review "...it is clearly written and fairly self-contained, surveying two fields that have seen quite a bit of excitement in the recent past. One invaluable feature of this scholarly treatise is the bibliographical discussions at the end of each chapter, which are collected at the end of the book in an impressive list of 386 items. Also, the text is peppered with examples and exercises that are quite helpful in promoting understanding." American Scientist "There is no doubt that the book of Stuart and Humphries constitutes a comprehensive and well-written...treatise on the deep connections between the disciplines of dynamical systems and numerical analysis. As the authors themselves state, it is primarily designed to address the needs of a researcher. However, I do believe that students with a healthy theoretical inclination and a strong mathematical background will find plenty of interesting items in this monograph...this book makes a significant contribution to both fields appearing in the title and is therefore unique and likely to remain popular for a long time." Media News & Reviews Review Quote "There is no doubt that the book of Stuart and Humphries constitutes a comprehensive and well-written...treatise on the deep connections between the disciplines of dynamical systems and numerical analysis. As the authors themselves state, it is primarily designed to address the needs of a researcher. However, I do believe that students with a healthy theoretical inclination and a strong mathematical background will find plenty of interesting items in this monograph...this book makes a significant contribution to both fields appearing in the title and is therefore unique and likely to remain popular for a long time." Media News & Reviews Promotional "Headline" This 1996 book unites the study of dynamical systems and numerical solution of differential equations. Description for Bookstore This 1996 book unites the study of dynamical systems and numerical solution of differential equations. It will be an invaluable tool for graduate students and researchers in the fields of numerical analysis and dynamical systems. Description for Library This 1996 book unites the study of dynamical systems and numerical solution of differential equations. It will be an invaluable tool for graduate students and researchers in the fields of numerical analysis and dynamical systems. Details ISBN0521496721 Author A.R. Humphries Short Title DYNAMICAL SYSTEMS & NUMERICAL Publisher Cambridge University Press Series Cambridge Monographs on Applied and Computational Mathematics Language English ISBN-10 0521496721 ISBN-13 9780521496728 Media Book Format Hardcover DEWEY 003.850 Series Number 2 Year 1996 Publication Date 1996-08-31 Imprint Cambridge University Press Place of Publication Cambridge Country of Publication United Kingdom Illustrations 28 line drawings Pages 710 DOI 10.1604/9780521496728 Audience Professional and Scholarly UK Release Date 1996-08-13 AU Release Date 1996-08-13 NZ Release Date 1996-08-13 We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:91375644;

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