Chen, JB , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
部门归属:
Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China; Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China
英文摘要:
We present a discrete total variation calculus in Hamiltonian formalism in this paper. Using this discrete variation calculus and generating functions for the flows of Hamiltonian systems, we derive symplectic-energy integrators of any finite order for Hamiltonian systems from a variational perspective. The relationship between the symplectic integrators derived directly from the Hamiltonian systems and the variationally derived symplectic-energy integrators is explored. (C) 2003 American Institute of Physics.
Chen, JB,Guo, HY,Wu, K. Total variation in Hamiltonian formalism and symplectic-energy integrators[J]. JOURNAL OF MATHEMATICAL PHYSICS,2003,44(4):1688-1702.
