| Gear方法的改进 |
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| 引用本文： | 蒋立新.Gear方法的改进[J].湘潭大学自然科学学报,1990(2). |
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| 作者姓名： | 蒋立新 |
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| 作者单位： | 中国科学院计算中心 |
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| 摘 要： | 在Gear方法的基础上增加两个修正项,构造了修正的Gear方法,它含有两个自由参数。适当选择这些参数,新构造的方法的绝对稳定区域与低一阶的Gear方法大致相同,且比匡蛟勋和项家祥先生于1987年所提出的同阶MBDF方法的绝对稳定区域大。
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| 关 键 词： | 数值分析/修正的Gear方法 绝对稳定性 |
IMPROVMENT OF GEAR'S METHODS |
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| Jiang Lixin.IMPROVMENT OF GEAR''''S METHODS[J].Natural Science Journal of Xiangtan University,1990(2). |
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| Authors: | Jiang Lixin |
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| Abstract: | In this paper, a class of modified Gears methods with two parameters is presented. The new methods greatly improve the numerical stability of Gear's methods. The region of absolute stability of the new method of order k with parameters appropriate is larger than that of MBDF method of the same order presented by Kuang Jia-Xun and Xiang Jia-Xiang in 1987, and is almost the same as that of Gear's method of order k-1. |
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| Keywords: | Numerical analysis/modified Gear's methods absolute stability |
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