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Symplectic Integration of Hamiltonian Systems using Polynomial Maps | | Govindan Rangarajan
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21 Jun 2001 | | Journal: | Physics Letters A, vol. 286, 141 (2001) | | Subject: | Exactly Solvable and Integrable Systems | nlin.SI | | Abstract: | In order to perform numerical studies of long-term stability in nonlinear Hamiltonian systems, one needs a numerical integration algorithm which is symplectic. Further, this algorithm should be fast and accurate. In this paper, we propose such a symplectic integration algorithm using polynomial map refactorization of the symplectic map representing the Hamiltonian system. This method should be particularly useful in long-term stability studies of particle storage rings in accelerators. | | Source: | arXiv, nlin.SI/0106033 | | Services: | Forum | Review | PDF | Favorites | |
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