Convergence analysis for general linear methods applied to stiff delay differential equations  

作　　者：ZHANG Chengjian(Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China) 

出　　处：《Progress in Natural Science:Materials International》2002年第6期414-420,共7页自然科学进展·国际材料（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No.69974018)

摘　　要：For Runge-Kutta methods applied to stiff delay differential equations (DDEs), the concept of D-convergence was proposed, which is an extension to that of B-convergence in ordinary differential equations (ODEs). In this paper, D-convergence of general linear methods is discussed and the previous related results are improved. Some order results to determine D-convergence of the methods are obtained.For Runge-Kutta methods applied to stiff delay differential equations (DDEs), the concept of D-convergence was proposed, which is an extension to that of B-convergence in ordinary differential equations (ODEs) In this paper, D-convergence of general linear methods is discussed and the previous related results are improved. Some order results to determine D-convergence of the methods are obtained.

关 键 词：D-convergence  general linear methods  STIFF delay DIFFERENTIAL equations. 

分 类 号：O175.2[理学—数学]