| 一种构建高精度求积公式的新策略 |
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| 引用本文： | 郑华盛,徐伟. 一种构建高精度求积公式的新策略[J]. 江西科学, 2012, 30(5): 559-561,602 |
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| 作者姓名： | 郑华盛 徐伟 |
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| 作者单位： | 南昌航空大学数学与信息科学学院,江西南昌,330063 |
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| 基金项目： | 江西省自然科学基金项目，南昌航空大学数值计算类课程优秀教学团队建设项目，南昌航空大学研究生优质课程建设项目，研究生教改项目 |
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| 摘 要： | 以低阶求积公式为基本模块,基于它的余项表达式及代数精度概念,提出了一种改进和构造高精度求积公式的普适性新策略。该方法可实现求积公式的有限次改进。最后,应用于几个常用低阶求积公式,以验证本文方法的有效性。
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| 关 键 词： | 求积公式 代数精度 余项 |
A New Tactics of Constructing High-order Accurate Quadrature Formula |
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| ZHENG Hua-sheng,XU Wei. A New Tactics of Constructing High-order Accurate Quadrature Formula[J]. Jiangxi Science, 2012, 30(5): 559-561,602 |
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| Authors: | ZHENG Hua-sheng XU Wei |
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| Affiliation: | (School of Mathematics and Irfformation Science ,Nanchang Hangkong University, Jiangxi Nanehang 330063 PRC) |
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| Abstract: | In this paper, a new general tactics of improving and constructing high-order accurate quadrature formula is presented to use low-order quadrature formula as a elementary building block by applying its expression of remainder term and concepts of algebraic accuracy. Similarly, finite number improving can be carried out. Finally, several examples of common low-order quadrature for- mulae are given to show higher validation of this method. |
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| Keywords: | Quadrature formula Algebraic accuracy Remainder term |
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