Lee-Variational Integrator

Kang Feng and Mengzhao Qin ()
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Kang Feng: Institute of Computational Mathematics and Scientific/Engineering Computing
Mengzhao Qin: Institute of Computational Mathematics and Scientific/Engineering Computing

Chapter Chapter 14 in Symplectic Geometric Algorithms for Hamiltonian Systems, 2010, pp 581-616 from Springer

Abstract: Abstract In the 1980s, Lee proposed an energy-preserving discrete mechanics with variable time steps by taking time (discrete) as a dynamical variable [Lee82,Lee87]. On the other hand, motivated by the symplectic property of Lagrangian mechanics, a version of discrete Lagrangian mechanics has been developed and variational integrators that preserve discrete symplectic 2-form have been obtained [MPS98,MV91,Ves88,Ves91a,WM97], but variational integrators obtained in this way fix the time steps and consequently, they are not energy-preserving in general.

Keywords: Hamiltonian System; Lagrange Equation; Variational Integrator; Discrete Version; Hamiltonian Formalism (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-01777-3_15

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DOI: 10.1007/978-3-642-01777-3_15

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