Nonlinear Stability of General Linear Methods for Delay Differential Equations

被引：0
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作者：
Chengming Huang
Shoufu Li
Hongyuan Fu
Guangnan Chen
机构：
[1] Huazhong University of Science and Technology,Department of Mathematics
[2] Xiangtan University,Department of Mathematics
[3] CAEP,Graduate school
来源：
BIT Numerical Mathematics | 2002年 / 42卷
关键词：
Delay differential equations; general linear methods; nonlinear stability;
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摘要：
This paper is devoted to a study of nonlinear stability of general linear methods for the numerical solution of delay differential equations in Hilbert spaces. New stability concepts are further introduced. The stability properties of (k,p,q)-algebraically stable general linear methods with piecewise constant or linear interpolation procedure are investigated. We also discuss stability of linear multistep methods viewed as a special subset of the class of general linear methods.
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页码：380 / 392
页数：12
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