DELAY_DIFFERENTIAL_EQUATIONS

作品数:96被引量:116H指数:5
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相关作者:丁效华庾建设王媛媛更多>>
相关机构:华东师范大学中国科学院数学与系统科学研究院湖南大学哈尔滨工业大学更多>>
相关期刊:《Acta Mathematicae Applicatae Sinica》《Acta Mathematica Scientia》《Journal of Ocean Engineering and Science》《Chinese Quarterly Journal of Mathematics》更多>>
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LOCAL SUPERCONVERGENCE OF CONTINUOUS GALERKIN SOLUTIONS FOR DELAY DIFFERENTIAL EQUATIONS OF PANTOGRAPH TYPE被引量:3
《Journal of Computational Mathematics》2016年第2期186-199,共14页Xiuxiu Xu Qiumei Huang Hongtao Chen 
Acknowledgments. The second author is supported by NSFC (Nos. 11571027, 91430215), by Beijing Nova Program (No. 2151100003150140) and by the Importation and Development of High-Caliber Talents Project of Beijing Municipal Institutions (No. CIT&TCD201504012). The third author is supported by the Natural Science Foundation of Fujian Province of China (No.2013J05015), by NSFC (No.11301437), and by the Fundamental Research ~nds for the Central Universities (No. 20720150004).
This paper is concerned with the superconvergent points of the continuous Galerkin solutions for delay differential equations of pantograph type. We prove the local nodal superconvergence of continuous Galerkin soluti...
关键词:Pantograph delay differential equations Uniform mesh Continuous Galerkinmethods SUPERCLOSENESS Superconvergence. 
SUPERCONVERGENCE OF A DISCONTINUOUS GALERKIN METHOD FOR FIRST-ORDER LINEAR DELAY DIFFERENTIAL EQUATIONS被引量:4
《Journal of Computational Mathematics》2011年第5期574-588,共15页Dongfang Li Chengjian Zhang 
Acknowledgments. The authors are grateful to the referees for carefully reading the preliminary version of the manuscript. Their valuable suggestions largely improve the quality of this paper. The research is supported by the National Nature Science Foundation of China (No.10871078), 863 Program of China (No. 2009AA044501) and Postgraduate Innovation Fund of Huazhong University of Science and Technology (No. HF-08-02-2011-011).
This paper deals with the discontinuous Galerkin (DG) methods for delay differential equations. By an orthogonal analysis in each element, the superconvergence results of the methods are derived at nodal points and ...
关键词:Discontinuous Galerkin methods Delay differential equations Orthogonalanalysis Superconvergence. 
A SPECTRAL METHOD FOR PANTOGRAPH-TYPE DELAY DIFFERENTIAL EQUATIONS AND ITS CONVERGENCE ANALYSIS被引量:13
《Journal of Computational Mathematics》2009年第2期254-265,共12页Ishtiaq Ali Hermann Brunner 
The research of HB was supported by the Natural Sciences and Engineering Research Council (NSERC) of Canada and by the Research Grants Council of Hong Kong;The research of TT was supported by Hong Kong Baptist University,the Research Grants Council of Hong Kong and he was supported in part by the Chinese Academy of Sciences while visiting its Institute of Computational Mathematics.
We propose a novel numerical approach for delay differential equations with vanishing proportional delays based on spectral methods. A Legendre-collocation method is employed to obtain highly accurate numerical approx...
关键词:Spectral methods Legendre quadrature formula Pantograph-type delay differential equations Error analysis Exponential convergence 
A CLASS OF TWO-STEP CONTINUITY RUNGE-KUTTA METHODS FOR SOLVING SINGULAR DELAY DIFFERENTIAL EQUATIONS AND ITS STABILITY ANALYSIS被引量:1
《Journal of Computational Mathematics》2005年第6期647-656,共10页Xin Leng De-gui Liu Xiao-qiu Song Li-rong Chen 
In this paper, a class of two-step continuity Runge-Kutta(TSCRK) methods for solving singular delay differential equations(DDEs) is presented. Analysis of numerical stability of this methods is given. We consider ...
关键词:Analysis of numerical stability Singular delay differential equations Two-step continuity Runge-Kutta methods 
STABILITY OF THEORETICAL SOLUTION AND NUMERICAL SOLUTION OF NONLINEAR DIFFERENTIAL EQUATIONS WITH PIECEWISE DELAYS被引量:2
《Journal of Computational Mathematics》2005年第4期393-400,共8页Li-ping Wen Shou-fu Li 
This paper is concerned with the stability of theoretical solution and numerical solution of a class of nonlinear differential equations with piecewise delays. At first, a sufficient condition for the stability of the...
关键词:STABILITY Delay differential equations Linear multistep methods 
CONVERGENCE OF PARALLEL DIAGONAL ITERATION OF RUNGE-KUTTA METHODS FOR DELAY DIFFERENTIAL EQUATIONS
《Journal of Computational Mathematics》2004年第3期361-370,共10页Xiao-huaDing MingzhuLiu 
Implicit Runge-Kutta method is highly accurate and stable for stiff initial value problem. But the iteration technique used to solve implicit Runge-Kutta method requires lots of computational efforts. In this paper, w...
DISSIPATIVITY AND EXPONENTIAL STABILITY OF θ-METHODS FOR SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATIONS WITH A BOUNDED LAG被引量:3
《Journal of Computational Mathematics》2003年第6期715-726,共12页Hong-jiong Tian (Department of Mathematics, Shanghai Normal University, Shanghai 200234, China) 
This project is supported by NSF of China (No.10101012);Shanghai Rising Star Program (No.03QA14036) ;The Special Funds for Major Specialties of Shanghai Education Committee.
This paper deals with analytic and numerical dissipativity and exponential stability of singularly perturbed delay differential equations with any bounded state-independent lag. Sufficient conditions will be presented...
关键词:Singular perturbation Θ-METHODS DISSIPATIVITY Exponential stability. 
ASYMPTOTIC STABILITY FOR GAUSS METHODS FOR NEUTRAL DELAY DIFFERENTIAL EQUATIONS被引量:3
《Journal of Computational Mathematics》2002年第2期217-224,共8页Sidibe, BS Liu, MZ 
the National Natural Science Foundation of China.
In [4] we proved that all Gauss methods areNtau(0)-compatible for neutral delay differential equations (NDDEs) of the form y'(t) = ay(t) + by(t-tau) + cy'(t-tau), t >0, (0.1) y(t) = g(t), -tau less than or equal to t ...
关键词:delay differential equations STABILITY Runge-Kutta methods 
D-CONVERGENCE OF ONE-LEG METHODS FOR STIFF DELAY DIFFERENTIAL EQUATIONS被引量:3
《Journal of Computational Mathematics》2001年第6期601-606,共6页Cheng-ming Huang Shou-fu Li Hong-yuan Fu Guang-nan Chen 
Project supported by NSF of China.
Focuses on a study which explored the numerical solution of delay differential equations. Linear stability of numerical methods; Application of one-leg methods; Error analysis.
关键词:nonlinear delay differential equations one-leg methods D-convergence 
D-CONVERGENCE OF RUNGE-KUTTA METHODS FOR STIFF DELAY DIFFERENTIAL EQUATIONS被引量:4
《Journal of Computational Mathematics》2001年第3期259-268,共10页Cheng-ming Huang Hong-yuan Fu Shou-fu Li Guang-nan Chen 
NSF of China (No.19871070) and China Postdoctoral Science Foundation.
Focuses on a study which examined the numerical solution of delay differential equations (DDE). Information on the Runge-Kutta methods for DDE; Results of the D-convergence analysis of Runge-Kutta methods; Details on ...
关键词:delay differential equations Runge-Kutta methods D-convergence 
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