Convergence of Linear Multistep Methods and One-Leg Methods for Index-2 Differential-Algebraic Equations with a Variable Delay  

作　　者：Hongliang Liu Aiguo Xiao 

机构地区：[1]School of Mathematics and Computational Science,Key Laboratory of Intelligent Computing and Information Processing of Ministry of Education,Xiangtan University,Xiangtan,Hunan 411105,P.R.China

出　　处：《Advances in Applied Mathematics and Mechanics》2012年第5期636-646,共11页应用数学与力学进展（英文）

基　　金：This work is supported by NSF of China(10971175);Specialized Research Fund for the Doctoral Program of Higher Education of China(20094301110001);Program for Changjiang Scholars and Innovative Research Team in University of China(IRT1179);NSF of Hunan Province(10JJ7001);the Aid Program for Science and Technology Innovative Research Team in Higher Educational Institutions of Hunan Province,and Fund Project of Hunan Province Education Office(11C1220).

摘　　要：Linear multistep methods and one-leg methods are applied to a class of index-2 nonlinear differential-algebraic equations with a variable delay.The corresponding convergence results are obtained and successfully confirmed by some numerical examples.The results obtained in this work extend the corresponding ones in literature.

关 键 词：index-2 differential-algebraic equations variable delay linear mutistep methods one-leg methods CONVERGENCE 

分 类 号：O17[理学—数学]