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

被引：0

作者：

肖飞雁 ^{[1
]}

张诚坚 ^{[1
]}

机构：

[1] School of Mathematics and Statistics,Huazhong University of Science and Technology

来源：

Acta Mathematica Scientia | 2010年 / 30卷 / 01期

关键词：

convergence; Runge-Kutta Methods; Lagrange interpolation; retarded differential algebraic systems;

D O I：

暂无

中图分类号：

O241 [数值分析];

学科分类号：

070102 ;

摘要：

This article deals with a class of numerical methods for retarded diffierential 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 effiectiveness and the theoretical result.

引用

页码：65 / 74

页数：10

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