Year: 1988
Journal of Computational Mathematics, Vol. 6 (1988), Iss. 1 : pp. 88–97
Abstract
When we study the oscillation of a physical system near its equilibrium and ignore dissipative effects, we may assume it is a linear Hamiltonian system (H-system), which possesses a special symplectic structure. Thus there arises a question: how to take this structure into account in the approximation of the H-system? This question was first answered by Feng Kang for finite dimensional H-systems.
We will in this paper discuss the symplectic difference schemes preserving the symplectic structure and its related properties, with emphasis on the infinite dimensional H-systems.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1988-JCM-9501
Journal of Computational Mathematics, Vol. 6 (1988), Iss. 1 : pp. 88–97
Published online: 1988-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10