Numerical Stability of Delay Integro-Differential Equations under Resolvent Conditions

机译：溶剂条件下时滞积分微分方程的数值稳定性

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This paper deals with the stability of numerical methods for the delay integro-differential equations. The thetas-methods are applied to this system by using the linear interpolation. The upper bound of norm for the corresponding iterative matrix is studi

机译：本文讨论了时滞积分微分方程数值方法的稳定性。通过线性插值将thetas方法应用于此系统。对应迭代矩阵范数的上限为studi

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来源
《Software Engineering Artificial Intelligence Networking and Parallel Distributed Computing, 2007 8th ACIS International Conference on》|2007年|P.1060-1063|共4页
会议地点 QingdaoChina
作者
Jing-jun Zhao; Yang Xu;
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integro-differential equations; interpolation; iterative methods; numerical stability; delay integro-differential equations; iterative matrix; linear interpolation; numerical stability; thetas-method;

机译：积分微分方程；插值迭代方法；数值稳定性延迟积分微分方程；迭代矩阵线性插值;数值稳定性θ法;

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专利

1. Numerical stability of solution to delay differential equations under resolvent condition for Runge-Kutta methods [J] . B S SIDIBE, ZHAO Jing-jun, LIU Ming-zhu Journal of Harbin Institute of Technology . 2001,第2期

机译：Runge-Kutta方法在求解条件下时滞微分方程解的数值稳定性
2. Numerical stability of solution to delay differential equations under resolvent condition for Runge-Kutta methods [J] . 哈尔滨工业大学学报（英文版） . 2001,第002期

机译：Runge-Kutta方法在求解条件下时滞微分方程解的数值稳定性
3. Analytical and numerical stability of neutral delay integro-differential equations and neutral delay partial differential equations [J] . Shifeng Wu, Siqing Gan Computers & mathematics with applications . 2008,第11期

机译：中性时滞积分微分方程和中性时滞偏微分方程的分析和数值稳定性
4. Numerical Stability of Delay Integro-Differential Equations under Resolvent Conditions [C] . Zhao, Jing-jun, Xu, . 2007

机译：溶剂条件下时滞积分微分方程的数值稳定性
5. Numerical analysis of delay differential and integro-differential equations. [D] . Zhang, Wenkui. 1998

机译：时滞微分和积分微分方程的数值分析。
6. A Collocation Method for Numerical Solution of Nonlinear Delay Integro-Differential Equations for Wireless Sensor Network and Internet of Things [O] . Rohul Amin, Shah Nazir, Iván García-Magariño 2020

机译：无线传感器网络与物联网非线性时滞积分微分方程数值解的配置方法
7. Analytical and numerical stability of neutral delay integro-differential equations and neutral delay partial differential equations [O] . Wu Shifeng, Gan Siqing 2008

机译：中性时滞积分微分方程和中性时滞偏微分方程的解析和数值稳定性
8. Numerical Stability, Resolvent Conditions and Delay Differential Equations [R] . Spijker, M. N. 1996

机译：数值稳定性，预解条件和时滞微分方程

Numerical Stability of Delay Integro-Differential Equations under Resolvent Conditions

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