Dynamical Systems and Numerical Analysis

Dynamical Systems and Numerical Analysis
Author: Andrew Stuart
Publisher: Cambridge University Press
Total Pages: 708
Release: 1998-11-28
Genre: Mathematics
ISBN: 9780521645638


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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.


Dynamical Systems and Numerical Analysis
Language: en
Pages: 708
Authors: Andrew Stuart
Categories: Mathematics
Type: BOOK - Published: 1998-11-28 - Publisher: Cambridge University Press

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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 for Nonsmooth Dynamical Systems
Language: en
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Authors: Vincent Acary
Categories: Technology & Engineering
Type: BOOK - Published: 2008-01-30 - Publisher: Springer Science & Business Media

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This book concerns the numerical simulation of dynamical systems whose trajec- ries may not be differentiable everywhere. They are named nonsmooth dynamical sys
Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems
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Authors: Eusebius Doedel
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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The Institute for Mathematics and its Applications (IMA) devoted its 1997-1998 program to Emerging Applications of Dynamical Systems. Dynamical systems theory a
Numerical Continuation Methods for Dynamical Systems
Language: en
Pages: 399
Authors: Bernd Krauskopf
Categories: Science
Type: BOOK - Published: 2007-11-06 - Publisher: Springer

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Path following in combination with boundary value problem solvers has emerged as a continuing and strong influence in the development of dynamical systems theor
Numerical Methods for Bifurcations of Dynamical Equilibria
Language: en
Pages: 384
Authors: Willy J. F. Govaerts
Categories: Mathematics
Type: BOOK - Published: 2000-01-01 - Publisher: SIAM

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Dynamical systems arise in all fields of applied mathematics. The author focuses on the description of numerical methods for the detection, computation, and con