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分段延迟微分方程线性θ-方法数值解渐近稳定性

ASYMPTOTIC STABILITY OF THE θ-METHODS IN THE NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS WITH PIECEWISE DELAYS

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【作者】 张长海梁久祯刘明珠

【Author】 Zhang Chang-hai; Liang Jiu-zhen; Liu Ming-zhu (Daqing Petroluem Institute); (Harbin Institute & Technology)

【机构】 大庆石油学院!安达151400哈尔滨工业大学

【Abstract】 This paper deals with the stability analysis of numerical solution of linear θ- methods for delay differential equations. We focus on the linear test equation X’(t) = ax(t)+bx([t]), where a,b are constants and [t] is the largest-integer function. Sufficent conditions are given for the numerical solution to be asymptotic stable.

  • 【文献出处】 数值计算与计算机应用 ,Journal of Unmerical Methods and Computer Applications , 编辑部邮箱 ,2000年04期
  • 【分类号】O241
  • 【被引频次】12
  • 【下载频次】98
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