full
search.png

Search

close.png

Cancel

arrow
Volume 6, Issue 1
On the Approximation of Linear Hamiltonian Systems

Zhong Ge & Kang Feng

J. Comp. Math., 6 (1988), pp. 88-97.

Published online: 1988-06

Preview Full PDF 3039 26442

Cited by

google scholar semantic scholar
Export citation
  • 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.  

  • Keywords

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JCM-6-88, author = {Zhong Ge and Kang Feng}, title = {On the Approximation of Linear Hamiltonian Systems}, journal = {Journal of Computational Mathematics}, year = {1988}, volume = {6}, number = {1}, pages = {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.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9501.html} }
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 -

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.  

Zhong Ge and Kang Feng. (1988). On the Approximation of Linear Hamiltonian Systems. Journal of Computational Mathematics. 6 (1). 88-97. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard