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求解多延迟中立型系统的数值稳定性

Numerical stability of linear multistep methods for neutral delay differential equations with multiple delays
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摘要 分析了用线性多步法求解一类多延迟中立型系统数值解的稳定性,在一定的La- grange插值条件下,给出并证明了求解多延迟中立型系统的线性多步法数值稳定的充分必要条件． The asymptotic stability of linear multistep methods for the numerical solution of neutral delay differential equations with multiple delays is discussed. The result that linear muhistep methods is asymptotic stability if and only if it is A - stable is obtained.
作者 丛玉豪 许丽 匡蛟勋
机构地区 上海师范大学数理信息学院
出处 《上海师范大学学报（自然科学版）》 2006年第2期1-5,共5页 Journal of Shanghai Normal University(Natural Sciences)
基金 E-Institutes of Shanghai Municipal Education Commission(E03004) Shanghai Municipal Education Commission(04DB07) Shanghai Science and Technology Committee(03QA14036) The Special Funds for Major Specialties of Shanghai Education Committee.
关键词 中立型系统 渐近稳定性 线性多步法 neutral delay differential equations asymptotic stability linear muhistep method
分类号 O241.8 [理学—计算数学]
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上海师范大学学报（自然科学版）
2006年 第2期

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