Poisson Bracket and Lie-Poisson Schemes

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 12 in Symplectic Geometric Algorithms for Hamiltonian Systems, 2010, pp 499-548 from Springer

Abstract: Abstract In this chapter, a clear Lie-Poisson Hamilton-Jacobi theory is presented. It is also shown how to construct a Lie-Poisson scheme integrator by generating function, which is different from the Ge-Marsden[GM88] method.

Keywords: Hamiltonian System; Euler Equation; Poisson Bracket; Hamiltonian Function; Momentum Mapping (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_13

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DOI: 10.1007/978-3-642-01777-3_13

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