Dynamical Systems and Numerical Analysis

Dynamical Systems and Numerical Analysis

by Andrew Stuart, A. R. Humphries
     
 

ISBN-10: 0521496721

ISBN-13: 9780521496728

Pub. Date: 03/28/2012

Publisher: Cambridge University Press

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.  See more details below

Overview

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.

Product Details

ISBN-13:
9780521496728
Publisher:
Cambridge University Press
Publication date:
03/28/2012
Series:
Cambridge Monographs on Applied and Computational Mathematics Series, #2
Pages:
709
Product dimensions:
5.98(w) x 8.98(h) x 1.69(d)

Table of Contents

Preface
Acknowledgements
1Finite Dimensional Maps1
2Ordinary Differential Equations100
3Numerical Methods for Initial Value Problems212
4Numerical Methods as Dynamical Systems269
5Global Stability355
6Convergence of Invariant Sets428
7Global Properties and Attractors Under Discretization497
8Hamiltonian and Conservative Systems574
App. ANotation645
App. BLinear Algebra647
App. CFixed Point Theorems656
Bibliography660
Index680

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