Rangarajan, Govindan (2001) Symplectic integration of Hamiltonian systems using polynomial maps. In: Physics Letters A, 286 (2-3). pp. 141-147.
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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 Letter, 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.
Item Type: | Journal Article |
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Related URLs: | |
Additional Information: | Copyright of this article belongs to Elsevier. |
Department/Centre: | Division of Physical & Mathematical Sciences > Centre for Contemporary Studies Division of Physical & Mathematical Sciences > Mathematics |
Date Deposited: | 18 Oct 2006 |
Last Modified: | 19 Sep 2010 04:32 |
URI: | http://eprints.iisc.ernet.in/id/eprint/8886 |
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