摘要
讨论了带有多个滞时量的延时微分方程的数值稳定性,分析了块θ-方法求解多延迟微分方程的Pm-稳定性和PLm-稳定性的条件,证明了块θ-方法Pm-稳定的充要条件是1/2≤θ≤1,块θ-方法PLm-稳定的充要条件是θ=1.
The stability behavior of the numerical solution of delay differential equations with many delays is studied. The conditions of the Pm -stability and the PLm -stability of the block θ- method for delay differential equations 1 with many delays are discussed. It is shown that the block θ- method is Pm -stable if and only if 1/2≤θ≤ 1, the block θ- method is PLm- stable if and only if θ = 1.
出处
《上海师范大学学报（自然科学版）》
2007年第3期6-11,共6页
Journal of Shanghai Normal University(Natural Sciences)
基金
Shanghai Municipal Education Commission(04DB07,07ZZ64)
Shanghai Science and Technology Com-mittee(03QA14036)
NSFC(1067130)
The Special Funds for Major Specialties of Shanghai Education Committee.
关键词
延迟微分方程
块θ-方法
数值稳定性
delay differential equation
block θ-method
numerical stability
