| PARALLEL DYNAMIC ITERATION METHODS FOR SOLVING NONLINEAR TIME—PERIODIC DIFFERENTIAL—ALGEBRAIC EQUATIONS |
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| 作者姓名： | YaolinJiang |
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| 作者单位： | Institute of Information fe System Sciences，School of Science，Xi'an Jiaotong University，Xi'an 710049，China |
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| 基金项目： | This research work was supported by the Natural Science Foundation of China NSFC 10171080,the 863 Program of China 2001AA111042,and the scientific research foundation for the returned overseas Chinese scholars,State Education Ministry |
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| 摘 要： | In this paper we presented a convergence condition of paralle dynamic iteration meth-ods for a nonlinear system of differential-algebraic equations with a periodic constraint.The convergence criterion is decided by the spectral expressjon of a linear operator derived form system partitions.Numerical experiments given here confirm the theoretical work of the paper.
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| 关 键 词： | 平行动态迭代法 非线性微分代数方程 周期解 收敛性 谱表示 线性算子 工程应用 |
PARALLEL DYNAMIC ITERATION METHODS FOR SOLVING NONLINEAR TIME-PERIODIC DIFFERENTIAL-ALGEBRAIC EQUATIONS |
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| YaolinJiang.PARALLEL DYNAMIC ITERATION METHODS FOR SOLVING NONLINEAR TIME-PERIODIC DIFFERENTIAL-ALGEBRAIC EQUATIONS[J].Journal of Computational Mathematics,2003,21(3):367-374. |
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| Authors: | Yao-lin Jiang |
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| Abstract: | In this paper we presented a convergence condition of parallel dynamic iteration methods for a nonlinear system of differential-algebraic equations with a periodic constraint. The convergence criterion is decided by the spectral expression of a linear operator derived from system partitions. Numerical experiments given here confirm the theoretical work of the paper. |
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| Keywords: | Nonlinear dynamic equations Periodic solutions Dynamic iterations Engi- neering applications |
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