| 梯形修正公式及其余项“中间点”的渐近性 |
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| 引用本文： | 何俊红.梯形修正公式及其余项“中间点”的渐近性[J].科学技术与工程,2010,10(8). |
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| 作者姓名： | 何俊红 |
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| 作者单位： | 宝鸡文理学院数学系,宝鸡,721007 |
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| 基金项目： | 宝鸡文理学院院级重点项目(ZK2309)资助 |
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| 摘 要： | 给出了一种带端点导数的梯形修正公式,并给出了该公式的截断误差。分析了相应的复化求积公式的收敛阶,其收敛阶比复化梯形法提高了2阶;并通过对梯形修正公式余项的研究。讨论了该求积公式余项中间点的渐近性,使求积公式的代数精度得到进一步提高。
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| 关 键 词： | 梯形修正公式 截断误差 收敛阶 渐近性 |
| 收稿时间： | 12/8/2009 8:49:51 PM |
| 修稿时间： | 2/7/2010 10:20:00 PM |
Modified Formula for Trapezoid Method and the Asymptotic Property of the"Mid-point"of Its Remainder |
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| hejunhong.Modified Formula for Trapezoid Method and the Asymptotic Property of the"Mid-point"of Its Remainder[J].Science Technology and Engineering,2010,10(8). |
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| Authors: | hejunhong |
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| Institution: | Department of Mathematics/a>;Baoji University of Arts and Sciences/a>;Baoji 721007/a>;P.R.China |
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| Abstract: | A modified formula for trapezoid method and its truncation error are presented.The convergence order of its compound formula is analyzed.There are 2 more ranks of the convergence order in this modified formula.The asymptotic property of the mid-point of the remainder of modified formula for trapezoid method is discussed by studying the remainder formula.The algebraic accuracy of the integration formula is more improved. |
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| Keywords: | modified formula for trapezoid method truncation error convergence order asymptotic property |
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