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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
【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．
【Abstract】 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 multistep methods is asymptotic stability ff and only if it is A-stable is obtained.
【关键词】 中立型系统；
渐近稳定性；
线性多步法；
【Key words】 neutral delay differential equations； asymptotic stability； linear multistep method；
【Key words】 neutral delay differential equations； asymptotic stability； linear multistep method；
【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.
- 【文献出处】 上海师范大学学报(自然科学版) ,Journal of Shanghai Normal University(Natural Sciences) , 编辑部邮箱 ,2006年02期
- 【分类号】O241.8
- 【被引频次】4
- 【下载频次】37