| 求解常微分方程初值问题的并行块隐式Runge—Kutta方法 |
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| 引用本文： | 黄自力,刘德贵.求解常微分方程初值问题的并行块隐式Runge—Kutta方法[J].系统工程与电子技术,1993(2). |
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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块隐式Runge-Kutta方法。在S=2的情况下,给出了几个具有三阶精度的并行计算公式,并证明了这类公式具有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： | 朗格-库塔法 边值问题 多处理机系统 并行处理算法 常微分方程 |
Parallel Block Implicit Runge-Kutta Methods for Solving Initial Value Problem of ODEs |
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| Huang Zili and Liu DeguiBeijing Institute of Computer Application and Simulation Technology.Parallel Block Implicit Runge-Kutta Methods for Solving Initial Value Problem of ODEs[J].System Engineering and Electronics,1993(2). |
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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 block implicit Runge-Kutta methods is constructed for a multiprocessor system. Several two-stage parallel block implicit Runge-Kutta formulas which possess third order accuracy are given out. They are proved to be of A-stability. The numerical results show that these formulas are efficient for solving stiff ODEs. |
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| Keywords: | Multiprocessor system Parallel algorithm Ordinary differential equations |
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