DELAY_DIFFERENTIAL_EQUATIONS

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A Meshless and Parallelizable Method for Differential Equations with Time-Delay
《Numerical Mathematics(Theory,Methods and Applications)》2018年第1期92-127,共36页Shulin Wu Chengming Huang 
The first author was supported by NSFC(No.11771313,No.61573010);the Project of China Postdoctoral Science Foundation(No.2015M580777,No.2016T90841);The second author was supported by NSFC(No.11771163).
Numerical computation plays an important role in the study of differential equations with time-delay,because a simple and explicit analytic solution is usually un available.Time-stepping methods based on discretizing ...
关键词：Delay differential equations meshless/parallel computatio contour integral Filon-Clenshaw-Curtis quadrature 
Uniform Convergence Analysis of Finite Difference Scheme for Singularly Perturbed Delay Differential Equation on an Adaptively Generated Grid被引量：2
《Numerical Mathematics(Theory,Methods and Applications)》2010年第1期1-22,共22页Jugal Mohapatra Srinivasan Natesan 
supported by the Department of Science & Technology, Government of India under research grant SR/S4/MS:318/06.
Adaptive grid methods are established as valuable computational technique in approximating effectively the solutions of problems with boundary or interior layers. In this paper,we present the analysis of an upwind sch...
关键词：Singular perturbation problems delay differential equations boundary layer upwind scheme adaptive mesh uniform convergence. 
THE NUMERICAL STABILITY OF THE BLOCK θ-METHODS FOR DELAY DIFFERENTIAL EQUATIONS被引量：1
《Numerical Mathematics A Journal of Chinese Universities(English Series)》2001年第1期1-8,共8页田红炯 匡蛟勋 
This paper focuses on the numerical stability of the block θ methods adapted to differential equations with a delay argument. For the block θ methods, an interpolation procedure is introduced which leads to the nume...
关键词：numerical stability block θ methods delay differential equations. 
THE STABILITY OF θ-METHODS FOR PANTOGRAPH DELAY DIFFERENTIAL EQUATIONS
《Numerical Mathematics A Journal of Chinese Universities(English Series)》1996年第1期80-85,共6页梁久祯 邱深山 刘明珠 
This paper deals with the numerical solution of initial value problems for pantograph differential equations with variable delays. We investigate the stability of one leg θ-methods in the numerical solution of these ...
关键词：PANTOGRAPH delay differential EQUATIONS Θ-METHODS numerical solution ASYMPTOTIC stability. 
THE STABILITY OF LINEAR MULTISTEP METHODS FOR SYSTEMS OF DELAY DIFFERENTIAL EQUATIONS被引量：2
《Numerical Mathematics A Journal of Chinese Universities(English Series)》1995年第1期10-16,共7页田红炯 匡蛟勋 
This paper deals with the numerical solution of initial value problems for systems of differential equations with a delay argument. The numerical stability of a linear multistep method is investigated by analysing the...
关键词：NUMERICAL stability linear mullistep method DELAY DIFFERENTIAL equation. 
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