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>>
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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. 
Entrepreneurship and Unemployment Cycles： A Delay Differential Equation Approach
《Frontiers of Economics in China-Selected Publications from Chinese Universities》2013年第2期288-292,共5页Joao Ricardo Faria 
This paper is an application of delay differential equations to entrepreneurship and unemployment. It shows that the results of empirical studies can be replicated through a simple DDE. The paper also carries out a co...
关键词：new firms employment creation cycles delay differential equations 
ALMOST AUTOMORPHIC MILD SOLUTIONS TO SOME FRACTIONAL DELAY DIFFERENTIAL EQUATIONS被引量：2
《Annals of Differential Equations》2012年第4期412-416,共5页Xiliang Li 1,Fenglong Qu 2,Yuliang Han 1(1.College of Math.and Information Sciences,Shandong Institute of Business and Technology,Yantai 264005,Shandong 2.School of Math.and Informational Science,Yantai University,Yantai 264005,Shandong) 
supported by the NNSF of China (Grant No.11026098,11026150 and11171191)
In this paper,a new and general existence and uniqueness theorem of almost automorphic mild solutions is obtained for some fractional delay differential equations,using sectorial operators and the Banach contraction p...
关键词：sectorial operator almost automorphy fractional delay differential equation 
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. 
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. 
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 
Parallel iteration methods of Runge-Kutta methods for delay differential equations
《Journal of Harbin Institute of Technology(New Series)》2004年第1期77-81,共5页丁效华 刘明珠 
SponsoredbytheNationalScienceFoundationofChina(GrantNo .10 2 710 3 6)andScienceFoundationofHarbinInstituteofTechnology(WeiHai) (GrantNo .2 0 0 2-14 ;15 ) .
This paper deals with the parallel diagonal implicit Runge-Kutta methods for solving DDEs with a constant delay. It is shown that the suitable choice of the predictor matrix can guarantee the stability of the methods....
关键词：Runge-Kutta methods Parallelism across the steps PDIRK methods 
H-stability of the Runge-Kutta methods with general variable stepsize for system of pantograph equations with two delay terms
《Journal of Harbin Institute of Technology(New Series)》2003年第4期385-387,共3页徐阳 刘明珠 赵景军 
SponsoredbytheNationalNaturalScienceFoundationofChina(GrantNo .10 2 710 3 6) .
This paper deals with H-stability of the Runge-Kutta methods with a general variable stepsize for the system of pantograph equations with two delay terms. It is shown that the Runge-Kutta methods with a regular matrix...
关键词：delay differential equations STABILITY Runge-Kutta method 
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 
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