| 两类隐式单块混合法 |
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| 引用本文： | 赵双锁,陶永林,黄永东. 两类隐式单块混合法[J]. 系统仿真学报, 2001, 13(1): 78-82 |
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| 作者姓名： | 赵双锁 陶永林 黄永东 |
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| 作者单位： | 1. 西北第二民族学院信息与计算科学系,
2. 宁夏邮电通信软件中心, |
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| 基金项目： | 国家自然基金资助项目(19671039) |
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| 摘 要： | 对解m维Stiff常微分方程初值问题提出了可高度并行计算的r-点r 3阶A－稳定和r-点r 2阶L－稳定的两类隐式单块混合法,由此两类方法所导出的方程组可用“完全平方”迭代法解之,如使用r个处理机并行计算,则每个处理机上的LU－分解运算量为m^3/3 O(m^2)。文末给出了算例。
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| 关 键 词： | Stiff常微分方程 隐式单块混合法 初值 数值解 |
| 文章编号： | 1004-731X(2001)01-0078-05 |
| 修稿时间： | 1999-08-13 |
Two Classes of ImplicitOne-block Hybrid Methods |
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| ZHAO Shuang-Suo,TAO Yong-lin,HUANG Yong-dong. Two Classes of ImplicitOne-block Hybrid Methods[J]. Journal of System Simulation, 2001, 13(1): 78-82 |
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| Authors: | ZHAO Shuang-Suo TAO Yong-lin HUANG Yong-dong |
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| Affiliation: | ZHAO Shuang-suo1, TAO Yong-lin2 ,HUANG Yong-dong1 |
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| Abstract: | For the initial value problems of the stiff systems of m-dimensional ordinary differential equations, this paper presents two classes of implicit one-block hybrid methods with highly parallelism, in which,one class is r-point (r 3)-order A-stable methods, the other class is r-point (r 2)-order L-stable methods. For the equation systems produced by the two classes of methods, we use complete square iterative method to solve them. If parallel computer systems with r processors are used, then LU-decomposition operation amount is m3/3 O(m2) on each processor.The end in the paper gives numerical examples. |
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| Keywords: | stiff system of ordinary differential equation implicit one-block hybrid method A-stability L-stability complete square iterative method |
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