Volume-Preserving Methods for Source-Free Systems

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 10 in Symplectic Geometric Algorithms for Hamiltonian Systems, 2010, pp 443-476 from Springer

Abstract: Abstract Source-free dynamical systems is an important system in recent mechanics and physics. It has a abroad application. Therefore, designing a proper numerical method for this system is significant. It is well known that phase flow of source-free system is a volume-preserving transformation. Therefore, the transient operator of the numerical method that we design should be volume-preserving. We call this algorithm the volume-preserving algorithm.

Keywords: Hamiltonian System; Euler Method; Volume Preserve; Symplectic Matrix; Symplectic Scheme (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_11

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DOI: 10.1007/978-3-642-01777-3_11

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