| 滞时微分方程二级θ-方法的数值耗散性 |
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| 引用本文： | 范利强,张媛颖,项家祥,田红炯. 滞时微分方程二级θ-方法的数值耗散性[J]. 系统仿真学报, 2005, 17(3): 599-600,634 |
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| 作者姓名： | 范利强 张媛颖 项家祥 田红炯 |
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| 作者单位： | 1. 上海师范大学数学系,上海,200234
2. 上海师范大学数学系,上海,200234;上海高校计算科学E-研究院,上海,200234 |
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| 基金项目： | E-Institutes of Shanghai Municipal Education Commission (No.E03004)，NSF of China under grant (10101012)，Shanghai Science and Technology Committee (03QA14036)，The Science Foundation of Shanghai(04JC14062)，The Special Funds for Major Special |
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| 摘 要： | 主要研究求解具有常滞时微分方程的二级θ-方法的数值耗散性。证明了二级θ-方法是耗散的当且仅当θ∈[1/2，1]。数值试验表明该理论结论是正确的。
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| 关 键 词： | 吸收集 耗散性 动力系统 滞时微分方程 |
Numerical Dissipativity of Two-stageθ-method for Delay Differential Equations |
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| FAN Li-Qiang,ZHANG Yuan-ying,XIANG Jia-xiang,TIAN Hong-jiong. Numerical Dissipativity of Two-stageθ-method for Delay Differential Equations[J]. Journal of System Simulation, 2005, 17(3): 599-600,634 |
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| Authors: | FAN Li-Qiang ZHANG Yuan-ying XIANG Jia-xiang TIAN Hong-jiong |
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| Affiliation: | FAN Li-qiang1,ZHANG Yuan-ying1,XIANG Jia-xiang1,TIAN Hong-jiong1,2 |
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| Abstract: | It is focused on numerical dissipativity of two-stage-θmethod for delay differential equations with a constant lag. It is proved that the two-stage -θmethod is dissipative if θ∈[1/2,1]and only if . One numerical experiment is given to illustrate our result. |
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| Keywords: | Absorbing set Dissipativity Dynamical system Delay differential equation. |
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