TY - JOUR
T1 - On the Approximation of Linear Hamiltonian Systems
AU - Zhong Ge & Kang Feng
JO - Journal of Computational Mathematics
VL - 1
SP - 88
EP - 97
PY - 1988
DA - 1988/06
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9501.html
KW - 
AB - <p style="text-align: justify;">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.<br/>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. &nbsp;</p>