Dissipativity of linear θ-methods for integro-differential equations

被引：20

作者：

Gan, Siqing ^{[1
]}

机构：

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

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2006年 / 52卷 / 3-4期

基金：

中国国家自然科学基金;

关键词：

dissipativity; integro-differential equation; theta-method; A-stability;

D O I：

10.1016/j.camwa.2006.02.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the analytic and numerical dissipativity of nonlinear integro-differential equations (IDEs). A dissipativity criteria for IDEs is given. It is shown that any A-stable linear theta-method for the systems is dissipative. Numerical examples are given to confirm the theoretical results. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：449 / 458

页数：10

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