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.
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 t...
Presents a study which dealt with stability of the implicit Runge-Kutta methods for the numerical solutions of the systems of delay differential equations. Stability behavior of the methods; Exponential solutions of t...