| 单级单步多导数方法的代数稳定性 |
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| 引用本文： | 张诚坚.单级单步多导数方法的代数稳定性[J].湖南大学学报(自然科学版),1993,20(6):12-16. |
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| 作者姓名： | 张诚坚 |
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| 作者单位： | 湖南大学应用数学系 |
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| 摘 要： | 本文从文献［１］中有关多值多导数方法的弱代数稳定性概念引伸出单级单步多导数方法的代数稳定性概念，并建立了若干单级单步多导数方法为代数稳定的充分条件与充要条件。
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| 关 键 词： | 单级 单步 代数稳定性 多导数法 |
The Algebraic Stability of One-Stage One-Step Multiderivative Methods |
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| Zhang Chengjian.The Algebraic Stability of One-Stage One-Step Multiderivative Methods[J].Journal of Hunan University(Naturnal Science),1993,20(6):12-16. |
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| Authors: | Zhang Chengjian |
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| Institution: | Zhang Chengjian Department of Applied Mathematics |
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| Abstract: | This paper presents the algebraic stability concept for one-stage one-step multiderivative methods, according to the weak algebraic stability concept on multiderivative methods in the paper1]. Some sufficient,sufficient and necessary conditions for the method to be algebraically stable are obtained. |
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| Keywords: | numerical analysis/one-stage one-step multiderivative methods algebraic stability problem of class K~(p) |
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