RUNGE-KUTTA_METHODS

作品数：63被引量：92H指数：4
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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 
Delay-dependent stability analysis of Runge-Kutta methods for neutral delay differential equations被引量：1
《Journal of Harbin Institute of Technology(New Series)》2002年第2期129-135,共7页宋明辉 刘明珠 B S SIDIBE 
SponsoredbytheNationalNaturalScienceFoundationofChina .
The aim of this paper is to study the asymptotic stability properties of Runge Kutta(R-K) methods for neutral differential equations(NDDEs) when they are applied to the linear test equation of the form: y′(t)=ay(t)...
关键词：NEUTRAL delay differention equation natural RUNGE-KUTTA methods Nт(0)-stability Nт(0)-com patibility 
Numerical stability of solution to delay differential equations under resolvent condition for Runge-Kutta methods
《Journal of Harbin Institute of Technology(New Series)》2001年第2期135-139,共5页赵景军 刘明珠 
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Deals with the application of Kreiss resolvent condition in the error growth analysis of numerical methods, and studies the stability of Runge Kutta method in respect of Kreiss resolvent condition with emphasis on the...
关键词：Delay differential equations STABILITY Kreiss resolvent R K methods 
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