CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 1997, Vol. 14 ›› Issue (S1): 702-704.

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CONSERVATION QUANTITIES OF THE EXPLICIT SYMPLECTIC SCHEMES FOR SEPARABLE AND LINEAR HAMILTONIAN SYSTEMS

Wu Chengxun1, Zhou Zhongyuan2, Ding Peizhu2   

  1. 1. Dept. of Phys, Jilin university, Changchun 130023;
    2. Inst. of Atomic and Molecular Phys, Jilin university, Changchun 130023
  • Received:1997-03-03 Revised:1997-05-15 Online:1997-12-25 Published:1997-12-25

Abstract: The scheme-conservation quantities of the 1-and 2-order explicit symplectic schemes are found according to the quadric-form conservation quantities for Separable and linear Hamiltonian Systems.It can be shown that so long as the time-step is properly small the norm and the energy can keep conservied in certain accuracy.

Key words: separable and linear Hamiltonian system, explicit symplectic scheme, conservation quantity

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