SPURIOUS NUMERICAL SOLUTIONS OF DELAY DIFFERENTIAL EQUATIONS  

作　　者：Hong-jiong Tian Li-qiang Fan Yuan-ying Zhang Jia-xiang Xiang 

机构地区：[1]Department of Mathematics, Shanghai Normal University, Division of Computational Science, E-Institute of Shanghai Universities, Shanghai 200234, China [2]Department of Mathematics, Shanghai Normal University, Shanghai 200234, China

出　　处：《Journal of Computational Mathematics》2006年第2期181-192,共12页计算数学（英文）

基　　金：The work of this author is supported in part by E-Institutes of Shanghai Municipal Education Commission （No. E03004）, Shanghai Science and Technology Commission （No.03QA14036）, Shanghai Leading Academic Discipline Project （No. T0401）, Science Foundation of Shanghai （No. 04JC14062） and Special Funds for Major Specialties of Shanghai Education Commission.Acknowledgement. The authors wish to thank the anonymous referees for their carefully correcting the preliminary version of the manuscript.

摘　　要：This paper deals with the relationship between asymptotic behavior of the numerical solution and that of the true solution itself for fixed step-sizes. The numerical solution is viewed as a dynamical system in which the step-size acts as a parameter. We present a unified approach to look for bifurcations from the steady solutions into spurious solutions as step-size varies.This paper deals with the relationship between asymptotic behavior of the numerical solution and that of the true solution itself for fixed step-sizes. The numerical solution is viewed as a dynamical system in which the step-size acts as a parameter. We present a unified approach to look for bifurcations from the steady solutions into spurious solutions as step-size varies.

关 键 词：Spurious solution Asymptotic behavior Delay differential equation. 

分 类 号：O175[理学—数学]