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CONVERGENCE ANALYSIS OF RUNGE-KUTTA METHODS FOR A CLASS OF RETARDED DIFFERENTIAL ALGEBRAIC SYSTEMS 被引量：4

CONVERGENCE ANALYSIS OF RUNGE-KUTTA METHODS FOR A CLASS OF RETARDED DIFFERENTIAL ALGEBRAIC SYSTEMS
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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.
作者 肖飞雁 张诚坚
机构地区 School of Mathematics and Statistics
出处 《Acta Mathematica Scientia》 SCIE CSCD 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)
关键词 CONVERGENCE Runge-Kutta Methods Lagrange interpolation retarded dif-ferential algebraic systems convergence Runge-Kutta Methods Lagrange interpolation retarded dif-ferential algebraic systems
分类号 O241 [理学—计算数学]
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参考文献4

二级参考文献27

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共引文献26

同被引文献20

  • 1周少波,胡适耕.RAZUMIKHIN-TYPE THEOREMS OF NEUTRAL STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS[J].软件工程师,2009(4). 被引量：8
  • 2倪涛洋,黎培兴,李彩霞.中立型线性微分方程的稳定性[J].工程数学学报,2005,22(1):144-146. 被引量：8
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  • 7Campbell S L,Linh V H.Stability criteria for differential-algebraic equations with multiple delays and their numerical solutions[J].Applied Mathematics and Computation,2009,208(2):397-415.
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引证文献4

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Acta Mathematica Scientia
2010年 第1期

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