CONVERGENCE ANALYSIS OF RUNGE-KUTTA METHODS FOR A CLASS OF RETARDED DIFFERENTIAL ALGEBRAIC SYSTEMS  

作　　者：肖飞雁 张诚坚 

机构地区：[1]School of Mathematics and Statistics,Huazhong University of Science and Technology

出　　处：《Acta Mathematica Scientia》2010年第1期65-74,共10页数学物理学报（B辑英文版）

基　　金：supported by NSFC (10871078)

摘　　要：This article deals with a class of numerical methods for retarded differential algebraic systems with time-variable delay. The methods can be viewed as a combination of Runge-Kutta methods and Lagrange interpolation. A new convergence concept, called DA-convergence, is introduced. The DA-convergence result for the methods is derived. At the end, a numerical example is given to verify the computational effectiveness and the theoretical result.This article deals with a class of numerical methods for retarded differential algebraic systems with time-variable delay. The methods can be viewed as a combination of Runge-Kutta methods and Lagrange interpolation. A new convergence concept, called DA-convergence, is introduced. The DA-convergence result for the methods is derived. At the end, a numerical example is given to verify the computational effectiveness and the theoretical result.

关 键 词：CONVERGENCE Runge-Kutta Methods Lagrange interpolation retarded dif-ferential algebraic systems 

分 类 号：O241[理学—计算数学]