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

被引：0

作者：

Xiao Feiyan ^{[1
]}

Zhang Chengjian ^{[1
]}

机构：

[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2010年 / 30卷 / 01期

关键词：

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

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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 D-A-convergence, is introduced. The D-A-convergence result for the methods is derived. At the end, a numerical example is given to verify the computational effectiveness and the theoretical result.

引用

页码：65 / 74

页数：10

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