| Titre : | Dynamical systems and numerical analysis |
| Auteurs : | A. M. Stuart, Auteur ; A. R. Humphries, Auteur |
| Type de document : | texte imprimé |
| Editeur : | Cambridge : Cambridge University Press, 1998 |
| Collection : | Cambridge monographs on applied |
| ISBN/ISSN/EAN : | 978-0-521-64563-8 |
| Format : | 1 vol. (685 p.) / ill., couv. ill. / 23 cm |
| Note générale : |
Mots cles / Numerical analysis. Differentiable dynamical systems. Differential equations : Numerical solutionses |
| Langues originales: | |
| Index. décimale : | 003.85 (Systèmes dynamiques) |
| Catégories : |
Ouvrages > Généralités (ouvrages généraux), information, informatique > Systèmes |
| Mots-clés: | Analyse numérique. Systèmes dynamiques différenciables. Équations différentielles : Solutions numériques |
| Résumé : |
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. |
| Note de contenu : |
Sommaire: • 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 Discretization. • 8. Hamiltonian and Conservative Systems. • App. A. Notation. • App. B. Linear Algebra. • App. C. Fixed Point Theorems. |
| Côte titre : |
S8/53727-53728 |
Exemplaires (2)
| Cote | Support | Localisation | Disponibilité |
|---|---|---|---|
| S8/53727 | Livre | Bibliothèque centrale | Disponible |
| S8/53728 | Livre | Bibliothèque centrale | Disponible |
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