NONLINEAR STABILITY OF NATURAL RUNGE-KUTTA METHODS FOR NEUTRAL DELAY DIFFERENTIAL EQUATIONS

作     者：Cheng-jian Zhang(Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, Hubei, P. R. China) 

作者机构：Department of Mathematics Huazhong University of Science and Technology Wuhan 430074 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2002年第20卷第6期

页      面：583-590页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：NSFC (No.69974018) China Postdoctoral Science Foundation 

主　　题：nonlinear stability neutral delay differential equations natural Runge-Kutta methods 

摘      要：Presents the stability analysis of theoretical solutions for a class of nonlinear neutral delay-differential equations (NDDE). Discussion on the numerical analogous results of the natural Runge-Kutta (NRK) methods for the same class of nonlinear NDDE; Review of the related concepts and results on RK methods; Information on the asymptotic stability and global stability of the induced NRK method.