丛玉豪^1,2, 胡洋¹, 王艳沛¹

1. 上海大学理学院数学系, 上海 200444;
2. 上海海关学院, 上海 201204

收稿日期:2018-06-16出版日期:2019-03-15发布日期:2019-02-18


基金资助:国家自然科学基金（11471217）资助项目.

DELAY-DEPENDENT STABILITY OF MULTISTEP RUNGE-KUTTA METHODS FOR DIFFERENTIAL SYSTEMS WITH DISTRIBUTED DELAYS

Cong Yuhao^1,2, Hu Yang¹, Wang Yanpei¹

1. College of Science, Shanghai University, Shanghai 200444, China;
2. Shanghai Customs College, Shanghai 201204, China

Received:2018-06-16Online:2019-03-15Published:2019-02-18







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本文研究了一类含分布时滞的时滞微分系统的多步龙格-库塔方法的稳定性.基于辐角原理，本文给出了多步龙格-库塔方法弱时滞相关稳定性的充分条件，并通过数值算例验证了理论结果的有效性.
MR(2010)主题分类:
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[1]	甘四清, 史可. 多步Runge-Kutta 方法的保单调性[J]. 计算数学, 2010, 32(3): 247-264.
[2]	余越昕. 非线性中立型延迟积分微分方程一般线性方法的稳定性分析[J]. 计算数学, 2010, 32(2): 125-134.
[3]	胡莹莹, 王雨顺, 王会平. RLW方程的一个新的显式多辛格式[J]. 计算数学, 2009, 31(4): 349-362.

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