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Dynamical Systems and Numerical Analysis
     

Dynamical Systems and Numerical Analysis

by Andrew Stuart, A. R. Humphries, P. G. Ciarlet, A. Iserles, R. V. Kohn
 

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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.

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

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.

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