Θ-METHODS

作品数：9被引量：21H指数：2
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相关领域：理学更多>>
相关作者：文立平李寿佛余越昕更多>>
相关机构：华东师范大学湘潭大学更多>>
相关期刊：《Numerical Mathematics(Theory,Methods and Applications)》《大学数学》《Journal of Systems Engineering and Electronics》《Journal of Computational Mathematics》更多>>
相关基金：国家自然科学基金湖南省教育厅科研基金湖南省自然科学基金更多>>
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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 properties of θ-methods for delay differential equations
《Journal of Harbin Institute of Technology(New Series)》2001年第2期140-142,共3页徐阳 赵景军 刘明珠 
theNationalNaturalScienceFoundationofChina (GrantNo .198710 19)
Deals with the asymptotic stability properties of θ methods for the pantograph equation and the linear delay differential algebraic equation with emphasis on the linear θ methods with variable stepsize schem...
关键词：delay differential equations asymptotic stability θ methods 
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 NUMERICAL STABILITY OF THE θ-METHOD FOR DELAYDIFFERENTIAL EQUATIONS WITH MANY VARIABLEDELAYS被引量：2
《Journal of Computational Mathematics》1999年第5期523-532,共10页Lin Qiu  Taketomo Mitsui(Graduate School of Human Informatics, Nagoya University, Face-Cho, Chikusa-km, Nagoya,464-8601, Japan)Jiao-xun Kuang(Department of Mathematics, Shanghai Normal University, 100 Guilin Road, Shanghai200234, China) 
This paper deals with the asymptotic stability of theoretical solutions and numerical methods for the delay differential equations(DDEs)where a,b1,b2,. ..,bm and yo ∈ C, 0 < λm ≤ λm-1 ≤ ... ≤λl < 1. A sufficien...
关键词：DELAY DIFFERENTIAL equation Variable DELAYS Numerical stability Θ-METHODS 
THE STABILITY OF THE θ-METHODS FOR DELAYDIFFERENTIAL EQUATIONS被引量：2
《Journal of Computational Mathematics》1999年第4期441-448,共8页Jing-jun Zhao Ming-zhu Liu(Department of mathematics, Harbin Institute of Technology, Harbin 150001, China)Shen-shan Qiu(Department of Computer Science and Engineering, Harbin Institute of Technology, Harbin 150001, China) 
This paper deals with the stability analysis of numerical methods for the solution of delay differential equations. We focus on the behaviour of three θ-methodsin the solution of the linear test equation u'(t)-A(t)u(...
关键词：DELAY DIFFERENTIAL EQUATIONS Numerical solution Stabilityl θ-methods. 
THE STABILITY ANALYSIS OF THE θ-METHODS FOR DELAY DIFFERENTIAL EQUMIONS被引量：10
《Journal of Computational Mathematics》1996年第3期203-212,共10页H.J.Tian J-X.Kuang(Department of Mathematics, Shanghai Normal University, Shanghai, China) 
This paper deals with the stability analysis of θ-methods for the numericalsolution of delny dmerential equations (DDEs). We focus on the behavioux of suchmethods in the solution of the linear test equation y'(t) = a...
关键词：METHODS FOR DELAY DIFFERENTIAL EQUMIONS THE STABILITY ANALYSIS OF THE MATH 
Asymptotic　Stability　Analysis　of　θ－Methods　For　Functional　Differential　Equations被引量：1
《大学数学》1996年第3期1-3,共3页Chu Zhongwu Qiu Shenshan(Harbin Institute of Technology. Harbin 150001 ) (Daqing Petroleum Institute, Daqing 151400) 
ＡｓｙｍｐｔｏｔｉｃＳｔａｂｉｌｉｔｙＡｎａｌｙｓｉｓｏｆθ－ＭｅｔｈｏｄｓＦｏｒＦｕｎｃｔｉｏｎａｌＤｉｆｆｅｒｅｎｔｉａｌＥｑｕａｔｉｏｎｓ￥ＣｈｕＺｈｏｎｇｗｕ；ＱｉｕＳｈｅｎｓｈａｎ（ＨａｒｂｉｎＩｎｓｔｉｔ...
关键词：AMS(MOS) 65L20 CR: 5. 17 
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　θ－Methods　in　Numerical　Solution　of　Systems　of　Differential　Equations　with　Two　Delay　Terms被引量：2
《Journal of Systems Engineering and Electronics》1994年第3期32-40,共9页Tian Hongjiong & Kuang Jiaoxun (Department of Mathematics, Shanghai Normal University, Shanghai 200234, China) 
This paper deals with the numerical solution of initial value problems for systems of differential equations with two delay terms. We investigate the stability of adaptations of the θ-methods in the numerical solutio...
关键词：Delay differential equations Numerical solution Θ-METHODS Asymptotic stability Schur polynomial. 
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