Dissipativity of θ-methods for nonlinear Volterra delay-integro-differential equations

被引：48

作者：

Gan, Siqing ^{[1
]}

机构：

[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410075, Hunan, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2007年 / 206卷 / 02期

基金：

中国国家自然科学基金;

关键词：

dissipativity; Volterra delay-integro-differential equation; one-leg theta-method; linear theta-method; interpolation;

D O I：

10.1016/j.cam.2006.08.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the analytic and numerical dissipativity of nonlinear Volterra delay-integro-differential equations (VDIDEs). A dissipativity criteria for VDIDEs is given. We investigate the dissipativity properties of one-leg theta-methods and linear theta-methods for the underlying systems. It is shown that, for theta epsilon [1/2, 1], any one-leg theta-method and linear theta-method can inherit the dissipativity of the underlying systems. (C) 2006 Elsevier B.V. All rights reserved.

引用

页码：898 / 907

页数：10

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