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

作     者：Rui QI Cheng-jian ZHANG Yu-jie ZHANG 

作者机构：China1School of Science Naval University of Engineering Wuhan 430033 School of Mathematics and Statistics Huazhong University of Science and Technology Wuhan 430074 China School of Mathematics and Physics China University of Geosciences Wuhan 430074 China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2012年第28卷第2期

页      面：225-236页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：supported by National Natural Science Foundation of China (No. 11171125,91130003) Natural Science Foundation of Hubei (No. 2011CDB289) Youth Foundation of Naval University of Engineering (No.HGDQNJJ10003) 

主　　题：Volterra delay-integro-differential equations multistep Runge-Kutta methods dissipativity,(k,l)-algebraically stable 

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, /）-algebraically stable Runge-Kutta methods are obtained.