| 关于一些数值求积公式的渐近性 |
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| 引用本文： | 刘彬清. 关于一些数值求积公式的渐近性[J]. 应用数学与计算数学学报, 2000, 14(2): 83-87 |
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| 作者姓名： | 刘彬清 |
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| 作者单位： | 上海大学数学系,上海,200436 |
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| 摘 要： | 该文给出了一些数值求积公式的渐近性质，这些公式包括求积分的矩形法则、梯形法则和抛物线法则，包含于余项中的中介点的位置当积分区间的长度趋于零时被确定，对应于该法则的校正公式被得到，它们具有较高的代数精度，我们也进行了一些数值试验，得到较满意的数值结果。
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| 关 键 词： | 数值求积公式 渐近性 矩形法则 梯形法则 抛物线法则 中介点 |
| 修稿时间： | 2000-09-08 |
On Asymptotic Analysis for Some Numerical Integral Formulas |
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| BINQING LIU. On Asymptotic Analysis for Some Numerical Integral Formulas[J]. Communication on Applied Mathematics and Computation, 2000, 14(2): 83-87 |
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| Authors: | BINQING LIU |
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| Abstract: | This paper gives asymptotic properties of some numerical integral formulas, these formulas include rectangle rule, trapezoid rule and parabolic rule. The location of medium point to contain within remainder term is determined when the length of integral interval tends to zero. The correct formulas with respect to the rules are presented, they have higher algebraic accuracy. We carry out some numerical experiments and obtain fairly good numerical results. |
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| Keywords: | rectangle rule trapezoid rule parabolic rule remainder term medium point asymptotic property correct formula algebraic accuracy. |
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