| 一类块隐式混合单步并行计算方法 |
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| 引用本文： | 刘钢 张泽兰. 一类块隐式混合单步并行计算方法[J]. 应用数学, 1997, 10(3): 72-77 |
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| 作者姓名： | 刘钢 张泽兰 |
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| 作者单位： | 武汉工业大学计算中心!武昌430070(刘钢)，武汉大学测试中心!武昌430072(张泽兰) |
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| 摘 要： | 本文讨论了一类解常微分方程初值问题的块隐式混合单步并行算法，这种算法的块数为K，精度阶为2d＋2，可在S台处理机上进行并行计算，其中K＝S·d．本文讨论了方法的一般性质，给出了方法的稳定性定理，最后给出了一个数值例子．
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| 关 键 词： | 常微分方程 块方法 并行计算 |
Parallel Block Implicit Hybrid One-Step Methods |
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| Liu Gang. Parallel Block Implicit Hybrid One-Step Methods[J]. Mathematica Applicata, 1997, 10(3): 72-77 |
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| Authors: | Liu Gang |
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| Abstract: | In this paper, a class of K-block implicit hybrid methods for the numerical integration of initial value problems in ordinary differential equations are derived. By the methods, a block of K new values can be obtained simultaneously on s-processors. It is shown that the method of order 2d 2 exists, where k = s. d. The theorems of convergence and numerical stability are presented, and one numerical experiment is also given. |
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| Keywords: | Ordinary differential equation Block method Parallel algorithm |
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