| 指数波形松弛方法 |
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| 引用本文： | 范振成.指数波形松弛方法[J].福建工程学院学报,2017,0(4):364-366. |
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| 作者姓名： | 范振成 |
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| 作者单位： | 闽江学院数学系 |
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| 摘 要： | 结合常微分方程的指数方法和波形松弛方法, 建立指数波形松弛方法。然后证明了该方法是收敛的。最后通过算例与显式欧拉方法、指数方法和波形松弛方法进行对比。结果表明，对于弱耦合的大系统, 指数波形松弛方法具有一定优势。
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| 关 键 词： | 刚性微分方程 指数方法 波形松弛方法 |
Exponential waveform relaxation methods |
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| Fan Zhencheng.Exponential waveform relaxation methods[J].Journal of Fujian University of Technology,2017,0(4):364-366. |
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| Authors: | Fan Zhencheng |
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| Institution: | Mathematics Department, Minjiang University |
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| Abstract: | Firstly, the exponential waveform relaxation methods (EWRMs) for ordinary differential equations are established by combining the exponential methods (EMs) and the waveform relaxation methods (WRMs). Secondly, the convergence of the EWRMs is confirmed. Lastly, numerical experimentation is conducted to make a comparison among the explicit Euler methods, EMs and WRMs. The results indicate that the EWRMs are advantageous for large weakly coupled systems of ordinary differential equations. |
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| Keywords: | stiff differential equation exponential method waveform relaxation method |
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