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.
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页码：449 / 458
页数：10
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