Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations
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- Artikel-Nr.: 10575074
Beschreibung
Examples and Numerical Experiments.- Numerical Integrators.- Order Conditions, Trees and B-Series.- Conservation of First Integrals and Methods on Manifolds.- Symmetric Integration and Reversibility.- Symplectic Integration of Hamiltonian Systems.- Non-Canonical Hamiltonian Systems.- Structure-Preserving Implementation.- Backward Error Analysis and Structure Preservation.- Hamiltonian Perturbation Theory and Symplectic Integrators.- Reversible Perturbation Theory and Symmetric Integrators.- Dissipatively Perturbed Hamiltonian and Reversible Systems.- Oscillatory Differential Equations with Constant High Frequencies.- Oscillatory Differential Equations with Varying High Frequencies.- Dynamics of Multistep Methods.
Eigenschaften
Breite: | 155 |
Gewicht: | 936 g |
Höhe: | 236 |
Länge: | 36 |
Seiten: | 644 |
Sprachen: | Englisch |
Autor: | Christian Lubich, Ernst Hairer, Gerhard Wanner |
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