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Processing Symplectic Methods for Near-Integrable Hamiltonian Systems
Authors:S. Blanes  F. Casas  J. Ros
Affiliation:(1) Departament de Matemàtiques, Universitat Jaume I, 12071- Castellón, Spain;(2) Departament de Matemàtiques, Universitat Jaume I, 12071- Castellón, Spain;(3) Departament de Física Teòrica and IFIC, Universitat de València, 46100- Burjassot, Valencia, Spain
Abstract:Processing techniques are used to approximate the exact flow of near-integrable Hamiltonian systems depending on a small perturbation parameter. We study the reduction of the number of conditions for the kernel for this type of Hamiltonians and we build third, fourth and fifth order methods which are shown to be more efficient than previous algorithms for the same class of problems. This revised version was published online in July 2006 with corrections to the Cover Date.
Keywords:symplectic integrators  processing technique  near-integrable Hamiltonian systems
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