THE CONSERVATION OF THE SYMPLECTIC DIFFERENCE-SCHEME AND ITS STABILITY

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 1997, Vol. 14 ›› Issue (1): 68-74.

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THE CONSERVATION OF THE SYMPLECTIC DIFFERENCE-SCHEME AND ITS STABILITY

Ji Jianghui, Liao Xinhao, Liu Lin

Astronomy Department, Nanjing University, Nanjing 210093

Received:1995-09-26 Revised:1996-09-14 Online:1997-01-25 Published:1997-01-25

Abstract

Abstract: Discussion is given on the existance of conservative laws of symplectic difference scheme for the Hamilton System and the relationship between them and the stability of the symplectic difference-scheme. The results show there are not any linear variations in all conservative laws of Hamilton System for symplectic difference scheme. In general, when the symplectic differencescheme stable, the conservative laws are convergent.

Key words: symplectic difference scheme, formal integral, stability

CLC Number:

O241

Ji Jianghui, Liao Xinhao, Liu Lin. THE CONSERVATION OF THE SYMPLECTIC DIFFERENCE-SCHEME AND ITS STABILITY[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 14(1): 68-74.

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THE CONSERVATION OF THE SYMPLECTIC DIFFERENCE-SCHEME AND ITS STABILITY

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