| 一类并行隐式Runge-Kutta方法的A稳定性分析 |
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| 引用本文： | 黄自力,刘德贵.一类并行隐式Runge-Kutta方法的A稳定性分析[J].系统工程与电子技术,1991(3). |
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| 作者姓名： | 黄自力 刘德贵 |
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| 作者单位： | 北京计算机应用和仿真技术研究所
(黄自力)，北京计算机应用和仿真技术研究所(刘德贵) |
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| 摘 要： | 本文针对多处理机系统构造了一类并行隐式Runge—Kutta方法,给出了一个具有三阶精度的并行二级Runge—Kutta公式,并证明了该计算公式具有A稳定性,数值结果表明该计算公式对求解刚性常微分方程是有效的。
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| 关 键 词： | 多处理机系统 并行处理 常微分方程 朗格—库塔法 稳定性 |
The A-Stability Analysis for a Class of Parallel Implicit Runge-Kutta Methods |
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| Huang Zili and Liu DeguiBeijing Institute of Computer Application and Simulation Technology.The A-Stability Analysis for a Class of Parallel Implicit Runge-Kutta Methods[J].System Engineering and Electronics,1991(3). |
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| Authors: | Huang Zili and Liu DeguiBeijing Institute of Computer Application and Simulation Technology |
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| Institution: | Huang Zili and Liu DeguiBeijing Institute of Computer Application and Simulation Technology |
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| Abstract: | In this paper, a class of parallel implicit Runge-Kutta methods is constructed for a multiprocessor system. A parallel two-stage Runge-Kutta formula which possesses a three-order accuracy is given out. It is proved that this computational formula is of A- Stability. The numerical results show that this formula is efficient for solving stiff ordinary differential equations. |
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| Keywords: | Multiprocessor system Parallel algorithm Stiff ordinary differential equation Implicit Runge-Kutta formula |
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