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| HAL: hal-00524814, version 1 |
| arXiv: 1008.1030 |
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| Symplectic schemes for highly oscillatory Hamiltonian systems: the homogenization approach beyond the constant frequency case |
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| Matthew Dobson 1Claude Le Bris 1, 2 |
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| (2010-08-05) |
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| We follow up on our previous works which presented a possible approach for deriving symplectic schemes for a certain class of highly oscillatory Hamiltonian systems. The approach considers the Hamilton-Jacobi form of the equations of motion, formally homogenizes it and infers an appropriate symplectic integrator for the original system. In our previous work, the case of a system exhibiting a single constant fast frequency was considered. The present work successfully extends the approach to systems that have either one varying fast frequency or several constant frequencies. Some related issues are also examined. |
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| 1: | Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique (CERMICS) |
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Ecole des Ponts ParisTech |
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| 2: | MICMAC (INRIA Paris - Rocquencourt) |
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Ecole des Ponts ParisTech – INRIA |
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| 3: | Laboratoire Navier |
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Ecole des Ponts ParisTech – CNRS : UMR8205 – IFSTTAR |
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| Subject | : | Mathematics/Numerical Analysis |
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| Fulltext link: |
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| http://fr.arXiv.org/abs/1008.1030 |
| hal-00524814, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00524814 | |
| oai:hal.archives-ouvertes.fr:hal-00524814 | |
| From: Frederic Legoll | |
| Submitted on: Friday, 8 October 2010 18:24:10 | |
| Updated on: Monday, 22 November 2010 16:24:11 | |
