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

被引：8
|
作者：
Qi, Rui [1 ,2 ]
Zhang, Cheng-jian [2 ]
Zhang, Yu-jie [3 ]
机构：
[1] Naval Univ Engn, Sch Sci, Wuhan 430033, Peoples R China
[2] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China
[3] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Peoples R China
来源：
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2012年 / 28卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Volterra delay-integro-differential equations; multistep Runge-Kutta methods; dissipativity; (k; l)-algebraically stable; DYNAMICAL-SYSTEMS; THETA-METHODS;
D O I：
10.1007/s10255-012-0142-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the numerical dissipativity of multistep Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations. We investigate the dissipativity properties of (k,l)-algebraically stable multistep Runge-Kutta methods with constrained grid and an uniform grid. The finite-dimensional and infinite-dimensional dissipativity results of (k,l)-algebraically stable Runge-Kutta methods are obtained.
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页码：225 / 236
页数：12
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