摘要
Based on the gradient-Hamiltonian decomposition （GHD） theory of vector fields, an algorithm （ called as GHD algorithm） is proposed in this paper. For the GHD algorithm, visual interpretations of the advantages in stability are given by using the eigenvalue curves. From the numerical results for linear decay systems, it reaches the conclusion that the GHD algorithm proposed in this paper has a better computational accuracy than other algorithms and presents a replication of long time qualitative properties of the underlying system.
Based on the gradient-Hamiltonian decomposition （GHD） theory of vector fields, an algorithm （ called as GHD algorithm） is proposed in this paper. For the GHD algorithm, visual interpretations of the advantages in stability are given by using the eigenvalue curves. From the numerical results for linear decay systems, it reaches the conclusion that the GHD algorithm proposed in this paper has a better computational accuracy than other algorithms and presents a replication of long time qualitative properties of the underlying system.
基金
Sponsored by the National Natural Science Foundation of China (10572021)
the Doctoral Programme Foundation of Institute of Higher Educationof China (20040007022)
the Program for New Century Excellent Talents in University of Fujian Province
