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

被引：9

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.

引用

页码：225 / 236

页数：12

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