CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 1997, Vol. 14 ›› Issue (S1): 505-506.

Previous Articles     Next Articles

A symptotic Stability of the Implicit Miltein Scheme for Linear Complex-valued Stochastic Jump-diffusion Equations

Liu Xiaoqing1,2, Li Zhenhua1, Wu Shengchang2   

  1. 1. Department of Mathematics, City University of Hong Kong 83 Tat Chee Avenue, Kowloon, Hong Kong;
    2. Institute of Applied Mathematics, Academia Sinica Laboratory of Management Decisioin and Information Systems, Academia Sinica Beijing 100080
  • Received:1996-12-30 Revised:1997-04-29 Online:1997-12-25 Published:1997-12-25

Abstract: The paper gives a necessary condition of asymptotic mean square stability for the implicit Milstein scheme for linear complex-valued stochastic jump-diffusion equations and shows how the stability depends on the implicitness of the scheme.

Key words: stochastic differential equation, numerical scheme, stability

CLC Number: