Geometric Numerical Integration Structure-Preserving Algorithms for Ordinary Differential Equations /
Numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions are the subject of this book. A complete self-contained theory of symplectic and symmetric methods, which include Runge-Kutta, com...
Κύριοι συγγραφείς: | , , |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
2006.
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Σειρά: | Springer Series in Computational Mathematics,
31 |
Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.