Acta mathematica scientia,Series A ›› 2001, Vol. 21 ›› Issue (2): 252-258.
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ZHANG Cheng-Jian, LIAO Xiao-Xin
Online:
Published:
Supported by:
国家自然科学基金(No.69974018)及中国博士后基金资助
Abstract:
该文涉及多延迟微分方程MDDEs系统的理论解与数值解的收缩性.为此,一些新的稳定性概念诸如:BN_f^(m)-稳定性及GRN_m-稳定性稳定性被引入.该探讨得出:RungeKutta(RK)方法及相应的连续插值的BN^(m)-稳定性导致求解MDDEs的方法的收缩性(GRN_m-稳定性).
Key words: 收缩性, Runge-Kutta方法, 多延迟微分方程.
CLC Number:
ZHANG Cheng-Jian, LIAO Xiao-Xin. Contractivity of Runge-Kutta Methods for Multidelay Differential Equations[J].Acta mathematica scientia,Series A, 2001, 21(2): 252-258.
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