超前型EPCA的数值稳定性分析  

Stability of Euler-Maclaurin Methods in Numerical Solution of Advanced EPCA

作　　者：杜春雪[1] 张志旭[1] 

机构地区：[1]佳木斯大学理学院基础数学部,黑龙江佳木斯154007

出　　处：《佳木斯大学学报（自然科学版）》2011年第2期276-279,共4页Journal of Jiamusi University：Natural Science Edition

基　　金：黑龙江省教育厅科研项目(11541269);黑龙江省教育厅科研项目(11553114)

摘　　要：主要考虑Euler-Maclaurin方法对于超前型自变量分段连续型延迟微分方程u′(t)=au(t)+a0u([t])+a1u([t+1])的数值稳定性.我们得到了此方法的稳定区域及数值解的稳定区域包含解析解的稳定区域的条件.This paper was concerned with the stability analysis of the Euler-Maclaurin methods for the advanced EPCA of u′（t）=au（t）＋a0u（[t]）＋a1u（[t＋1]）.The stability regions for the Euler-Maclaurin methods were determined and the conditions containing the analytic stability region in the numerical stability region were obtained.

关 键 词：延迟微分方程 自变量分段连续 渐近稳定 

分 类 号：O175.1[理学—数学]