Stability analysis of Volterra delay-integro-differential equations and their backward differentiation time discretization
Stability analysis of Volterra delay-integro-differential equations and their backward differentiation time discretization
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DOI：
10.1016/j.cam.2003.09.013
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发表时间：
2004-03
影响因子：
2.4
通讯作者：
Chengjian Zhang;S. Vandewalle
中科院分区：
文献类型：
--
作者：
Chengjian Zhang;S. Vandewalle
我们研究了一般类 Volterra 时滞积分微分方程组初值问题解析解的稳定性。提出了基于后向微分公式和重复求积公式的数值方法。推导了所提出方法的非线性和线性稳定性条件。
We study the stability of the analytical solutions of initial value problems of a general class of systems of Volterra delay-integro-differential equations. Numerical methods based on backward differentiation formulae and repeated quadrature formulae are suggested. Nonlinear and linear stability conditions for the presented methods are derived.