Nonlinear stability of linear multistep methods for stiff delay differential equations in Banach spaces
Nonlinear stability of linear multistep methods for stiff delay differential equations in Banach spaces
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DOI：
10.1016/j.amc.2004.10.002
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发表时间：
2005-09
期刊：
影响因子：
--
通讯作者：
Liping Wen;Shoufu Li
中科院分区：
文献类型：
--
作者：
Liping Wen;Shoufu Li
本文研究了一类线性多步方法在求解Banach空间中刚性延迟微分方程初值问题时的非线性稳定性。对于Banach空间中的检验问题类D(α，λ∗，β)和D(α，λ∗，δ，β)，得到了一系列新的线性多步方法的稳定性结果。
This paper is concerned with the nonlinear stability properties of a class of linear multistep methods when applied to initial value problems of stiff delay differential equations in Banach spaces. For the test problem classes D(α,λ∗,β) and D(α,λ∗,δ,β) in Banach spaces, a series of new stability results of the linear multistep methods are obtained.