Nonlinear stability of linear multistep methods for stiff delay differential equations in Banach spaces
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摘要
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.
论文关键词:Stability,Delay differential equations,Linear multistep methods,Banach space
论文评审过程:Available online 26 November 2004.
论文官网地址:https://doi.org/10.1016/j.amc.2004.10.002