Table of Contents
Research Letters in Physics
Volume 2008, Article ID 168231, 5 pages
Research Letter

An Energy-Work Relationship Integration Scheme for Nonconservative Hamiltonian Systems

1Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China
2College of Mechanics and Automatization Control, Zhejiang Sci-Tech University, Hangzhou 310018, China

Received 13 March 2008; Accepted 1 May 2008

Academic Editor: Eric G. Blackman

Copyright © 2008 Fu Jingli et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This letter focuses on studying a new energy-work relationship numerical integration scheme of nonconservative Hamiltonian systems. The signal-stage, multistage, and parallel composition numerical integration schemes are presented for this system. The high-order energy-work relation scheme of the system is constructed by a parallel connection of 𝑛 multistage scheme of order 2 which its order of accuracy is 2𝑛. The connection, which is discrete analog of usual case, between the change of energy and work of nonconservative force is obtained for nonconservative Hamiltonian systems.This letter also shows that the more the stages of the schemes are, the less the error rate of the scheme is for nonconservative Hamiltonian systems. Finally, an applied example is discussed to illustrate these results.