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| 一类并行隐式Runge-Kutta公式 | |
| 引用本文： | 费景高. 一类并行隐式Runge-Kutta公式[J]. 系统工程与电子技术, 1993, 0(4) |
| 作者姓名： | 费景高 |
| 作者单位： | 北京计算机应用和仿真技术研究所 |
| 摘 要： | 本文针对多处理机系统构造了一类并行隐式Runge-Kutta公式,对2级Runge-Kutta公式给出具有4阶精度的公式族,并证明了它们的收敛性,进行稳定性分析。数值例子表明,该公式可以有效地数值求解较广泛类型的常微分方程初值问题。 |
| 关 键 词： | 多处理机系统 并行算法 常微分方程 朗格-库塔法 |
A Class of Parallel Implicit Runge-Kutta Formulas |
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| Fei JinggaoBeijng Institute of Computer Application and Simulation Technology. A Class of Parallel Implicit Runge-Kutta Formulas[J]. System Engineering and Electronics, 1993, 0(4) | |
| Authors: | Fei JinggaoBeijng Institute of Computer Application and Simulation Technology |
| Affiliation: | Fei JinggaoBeijng Institute of Computer Application and Simulation Technology |
| Abstract: | A class of parallel implicit Runge-Kutta formulas is constructed for multiprocessor system. A family of parallel implicit two-stage, four order Runge-Kutta formulas is given. For these formulas, the convergence is proved and the stability analysis is given. The numerical examples demonstrate that these formulas can solve an extensive class of initial problems for the ordinary differential equations. |
| Keywords: | Multiprocessor system Parallel algorithm Ordinary differential equation Implicit Runge-Kutta formula. |
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