| 一个推广的Euler—Maclaurin展开式 |
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| 引用本文： | 胡承列. 一个推广的Euler—Maclaurin展开式[J]. 华东师范大学学报(自然科学版), 1990, 0(4): 27-32 |
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| 作者姓名： | 胡承列 |
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| 作者单位： | 华北师范大学数学系 |
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| 摘 要： | 本文就一类带导数的数值积分公式给出其渐近展开式.其特例为著名的Euler-Maclaurin公式.在本文给出的渐近展开式的基础上,可设计带导数项的Romberg数值积分法.
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| 关 键 词： | 数值积分 渐近展开式 E－M公式 |
An Extension of Euler-Maclaurin Asymptotic Formula |
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| HU CHENGLIE. An Extension of Euler-Maclaurin Asymptotic Formula[J]. Journal of East China Normal University(Natural Science), 1990, 0(4): 27-32 |
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| Authors: | HU CHENGLIE |
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| Affiliation: | Departiment of Mathematics |
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| Abstract: | This paper presented a kind of asymptotic expansion, which is an extension of well-known Euler-Maclaurin formula, Based on this expansion, a new type of Romberg numerical integration method can be constructed. |
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| Keywords: | numerical integration asymptotic expansion Euler-Mauclaurin formula |
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