Polynomial map symplectic algorithm

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dc.creatorRangarajan, Govindan
dc.date2002-12-26
dc.date.accessioned2026-07-07T05:48:37Z
dc.date.available2026-07-07T05:48:37Z
dc.descriptionLong-term stability studies of nonlinear Hamiltonian systems require symplectic integration algorithms which are both fast and accurate. In this paper, we study a symplectic integration method wherein the symplectic map representing the Hamiltonian system is refactorized using polynomial symplectic maps. This method is analyzed in detail for the three degree of freedom case. We obtain explicit formulas for the action of the constituent polynomial maps on phase space variables.
dc.description20 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/physics/0212098
dc.identifierhttp://arxiv.org/abs/physics/0212098
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/85090
dc.subjectComputational Physics
dc.subjectAccelerator Physics
dc.titlePolynomial map symplectic algorithm
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