非线性Volterra延迟积分微分方程多步Runge-Kutta方法的散逸性  

Dissipativity of Multistep Runge-Kutta Methods for Nonlinear Volterra Delay-integro-differential Equations

作　　者：姚金然[1] 甘四清[1] 殷乃芳[1] 史可[1] 

机构地区：[1]中南大学数学科学与计算技术学院,湖南长沙410075

出　　处：《湖南文理学院学报（自然科学版）》2007年第4期1-4,12,共5页Journal of Hunan University of Arts and Science(Science and Technology)

摘　　要：将(k,l)-代数稳定的多步Runge-Kutta方法应用于非线性沃尔泰拉延迟积分微分方程,讨论了该方法的数值散逸性,并获得了(k,l)-代数稳定的多步Runge-Kutta方法的有限维和无限维散逸性结论.By ( k , l )- algebraically stable multistep Runge- Kutta methods to nonlinear Volterra delay- integro-differential equations, the numerical dissipativity of the methods was discussed and the finite-dimensional and infinite- dimensional dissipativity results of ( k , l )-algebraically stable multistep Runge-Kutta methods were obtained.

关 键 词：散逸性 沃尔泰拉延迟积分微分方程 多步RUNGE-KUTTA方法 (k l)-代数稳定 

分 类 号：O241.8[理学—计算数学]