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Runge-kutta schemes for Hamiltonian systems
Authors:J. M. Sanz-Serna
Affiliation:(1) Departmento de Matemática Aplicada y Computación, Facultad de Ciencias, Universidad de Valladolid, Valladolid, Spain
Abstract:We study the application of Runge-Kutta schemes to Hamiltonian systems of ordinary differential equations. We investigate which schemes possess the canonical property of the Hamiltonian flow. We also consider the issue of exact conservation in the time-discretization of the continuous invariants of motion.
Keywords:AMS 65 L  70H
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