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

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...

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Bibliographic Details
Published inActa mathematica scientia Vol. 30; no. 1; pp. 65 - 74
Main Author 肖飞雁 张诚坚
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 2010
School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China
Subjects
65L05
65L06
Algebra
Computation
Convergence
Delay
Interpolation
Lagrange interpolation
Mathematical models
Numerical analysis
retarded differential algebraic systems
Runge-Kutta method
Runge-Kutta Methods
微分代数系统
拉格朗日插值
收敛性分析
数值方法
时间延迟
计算效率
65L05
65L06
Runge-Kutta Methods
retarded differential algebraic systems
convergence
Lagrange interpolation
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Summary: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.
Bibliography:O241.3
Runge-Kutta Methods
convergence
Lagrange interpolation
retarded dif-ferential algebraic systems
convergence; Runge-Kutta Methods; Lagrange interpolation; retarded dif-ferential algebraic systems
42-1227/O
TM712
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(10)60023-9