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Numerical Algorithm for Solving Multi-Pantograph Delay Equations on the Half-line Using Jacobi Rational Functions with Convergence Analysis被引量：1
《Acta Mathematicae Applicatae Sinica》2017年第2期297-310,共14页Eid H. DOHA Ali H. BHRAWY Ramy M. HAFEZ 
Supported in part by the National Natural Science Foundation of China under Grant No.11021161 and 10928102;973 Program of China under Grant No.2011CB80800;Chinese Academy of Sciences under Grant No.kjcx-yw-s7;project grant of “Center for Research and Applications in Plasma Physics and Pulsed Power Technology,PBCT-Chile-ACT 26”;Direccion de Programas de Investigacion,Universidad de Talca,Chile
A new spectral Jacobi rational-Gauss collocation （JRC） method is proposed for solving the multi- pantograph delay differential equations on the half-line. The method is based on Jacobi rational functions and Gauss q...
关键词：multi-pantograph equation delay equation collocation method Jacobi-Gauss quadrature Jacobirational functions convergence analysis 
Dynamic properties of chasers in a moving queue based on a delayed chasing model
《Chinese Physics B》2016年第5期106-110,共5页郭宁 丁建勋 凌翔 石琴 Reinhart Kühne 
Project supported by the National Natural Science Foundation of China(Grant Nos.71071044,71001001,71201041,and 11247291);the Doctoral Program of the Ministry of Education of China(Grant Nos.20110111120023 and 20120111120022);the Postdoctoral Fund Project of China(Grant No.2013M530295);the National Basic Research Program of China(Grant No.2012CB725404);1000 Plan for Foreign Talent,China(Grant No.WQ20123400070)
A delayed chasing model is proposed to simulate the chase behavior in the queue, where each member regards the closest one ahead as the target, and the leader is attracted to a target point with slight fluctuation. Wh...
关键词：chase queue DISTURBANCE convergence analysis 
Convergence Analysis and Its Application in the Fixed Point Formulation of Medium Access in Wireless Network
《China Communications》2011年第1期43-49,共7页周安福 刘敏 焦学武 
supported by the National Basic Research Program of China(No.2011CB302702);the NationalNatural Science Foundation of China(Nos.60803140,60970133,61070187)
In the Internet of things, it is of critical importance to fully utilize the potential capacity of the network with efficient medium access control （MAC） mechanisms. In this paper, we study the convergence property ...
关键词：resource allocation in wireless networks DCF fixed point formulation convergence property 
BEM+Born series modeling schemes for wave propagation and their convergence analysis被引量：2
《Earthquake Science》2010年第2期139-148,共10页Gengxin Yu Liyun Fu Xizhu Guan 
supported by National Natural Science Foundation of China (No.40830423);National Basic Research Program of China(973 Program,2009CB219403)
This paper formulates two different boundary-element＋Born series schemes for wave propagation simulation in multilayered media by incorporating a Born series and boundary integral equations. The first scheme directly...
关键词：boundary-element method Born series self-interaction operator extrapolation operator 
Convergence analysis of the adaptive finite element method with the red-green refinement
《Science China Mathematics》2010年第2期499-512,共14页ZHAO XuYing 1, 3 , HU Jun 2,? & SHI ZhongCi 1 1 State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China 2 Key Laboratory of Mathematics and Applied Mathematics (Peking University), Ministry of Education and School of Mathematical Sciences, Peking University, Beijing 100871, China 3 Graduate University of Chinese Academy of Sciences, Beijing 100190, China 
supported by National Natural Science Foundation of China (Grant Nos.10601003, 10971005);Foundation for the Author of National Excellent Doctoral Dissertation of China (Grant No.200718) ;National Basic Research Program of China (Grant No. 2005CB321704)
In this paper, we analyze the convergence of the adaptive conforming P 1 element method with the red-green refinement. Since the mesh after refining is not nested into the one before, the Galerkin-orthogonality does n...
关键词：red-green REFINEMENT adaptive finite element method convergence non-nested local REFINEMENT 
A PRIORI ERROR ESTIMATE AND SUPERCONVERGENCE ANALYSIS FOR AN OPTIMAL CONTROL PROBLEM OF BILINEAR TYPE被引量：12
《Journal of Computational Mathematics》2008年第4期471-487,共17页Danping Yang Yanzhen Chang Wenbin Liu 
the National Basic Research Program under the Grant 2005CB321703;the NSFC under the Grants 10571108 and 10441005;the Research Fund for Doctoral Program of High Education by China State Education Ministry under the Grant 2005042203
In this paper, we investigate a priori error estimates and superconvergence properties for a model optimal control problem of bilinear type, which includes some parameter estimation application. The state and co-state...
关键词：Bilinear control problem Finite element approximation SUPERCONVERGENCE Apriori error estimate A posteriori error estimator. 
THE UPWIND OPERATOR SPLITTING FINITE DIFFERENCE METHOD FOR COMPRESSIBLE TWO-PHASE DISPLACEMENT PROBLEM AND ANALYSIS
《Acta Mathematica Scientia》2002年第4期489-499,共11页袁益让 
the Major State Basic Research Program of China(19990328);NNSF of China(19871051,19972039); the Doctorate Foundation of the State Education Commission
For compressible two-phase displacement problem, a kind of upwind operator splitting finite difference schemes is put forward and make use of operator splitting, of calculus of variations, multiplicative commutation r...
关键词：two-phase displacement two-dimensional compressibility upwind operator splitting finite difference schemes convergence analysis 
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