Dissipativity of θ-methods for nonlinear Volterra delay-integro-differential equations
Dissipativity of θ-methods for nonlinear Volterra delay-integro-differential equations
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DOI：
10.1016/j.cam.2006.08.030
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发表时间：
2007-09
影响因子：
2.4
通讯作者：
S. Gan
中科院分区：
文献类型：
--
作者：
S. Gan
本文研究了非线性Volterra时滞积分微分方程解的解析耗散性和数值耗散性。给出了VDIDE的耗散性判据。我们研究了基础系统的单支θ方法和线性θ方法的耗散性。结果表明，对于θ∈[12，1]，任何单支θ方法和线性θ方法都可以继承基础系统的耗散性。
This paper deals with the analytic and numerical dissipativity of nonlinear Volterra delay-integro-differential equations (VDIDEs). A dissipativity criteria for VDIDEs is given. We investigate the dissipativity properties of one-leg θ-methods and linear θ-methods for the underlying systems. It is shown that, for θ∈[12,1], any one-leg θ-method and linear θ-method can inherit the dissipativity of the underlying systems.