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Dynamical Systems and Numerical Analysis (Cambridge Monographs on Applied and ..
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eBay-Artikelnr.:406120084852
Artikelmerkmale
- Artikelzustand
- Gut
- Hinweise des Verkäufers
- Country of Origin
- United Kingdom
- Topic
- Reference
- Genre
- Mathematics & Sciences
- Book Title
- Dynamical Systems and Numerical Analysis (Cambridge Monographs on
- ISBN
- 9780521645638
Über dieses Produkt
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
0521645638
ISBN-13
9780521645638
eBay Product ID (ePID)
865591
Product Key Features
Number of Pages
712 Pages
Language
English
Publication Name
Dynamical Systems and Numerical Analysis
Publication Year
1998
Subject
Differential Equations / General, Numerical Analysis, Mathematical Analysis
Type
Textbook
Subject Area
Mathematics
Series
Cambridge Monographs on Applied and Computational Mathematics Ser.
Format
Trade Paperback
Dimensions
Item Height
1.6 in
Item Weight
36.4 Oz
Item Length
9 in
Item Width
6 in
Additional Product Features
Intended Audience
Scholarly & Professional
Dewey Edition
21
Reviews
"...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
Series Volume Number
Series Number 2
Illustrated
Yes
Dewey Decimal
003/.85/015194
Table Of Content
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.
Synopsis
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., 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., This 1996 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 formulated 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 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.
LC Classification Number
QA614.8 .S78 1996
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