| 改进的Simpson公式及其代数精度 |
| |
| 引用本文： | 杨少华,华志强. 改进的Simpson公式及其代数精度[J]. 沈阳大学学报：自然科学版, 2013, 25(1): 80-83 |
| |
| 作者姓名： | 杨少华 华志强 |
| |
| 作者单位： | 1. 辽宁大学经济学院,辽宁沈阳 110036;阜阳师范学院数学与计算科学学院,安徽阜阳 236037
2. 内蒙古民族大学数学学院,内蒙古通辽,028043 |
| |
| 基金项目： | 教育部、财政部国家特色专业资助项目，安徽高等学校省级自然科学基金资助项目 |
| |
| 摘 要： | 首先给出了Simpson数值求积公式余项"中间点"的渐近性定理,利用该定理对Simpson数值求积公式进行改进,并证明改进后的Simpson数值求积公式比原来的公式具有较高的代数精度.
|
| 关 键 词： | Simpson求积公式 代数精度 余项 |
Corrected Simpson Formula and its Algebraic Accuracy |
| |
| Yang Shaohua , Hua Zhiqiang. Corrected Simpson Formula and its Algebraic Accuracy[J]. Journal of Shenyang University, 2013, 25(1): 80-83 |
| |
| Authors: | Yang Shaohua Hua Zhiqiang |
| |
| Affiliation: | 1. College of Economics, Liaoning University, Shenyang 110036, China;2. School of Mathematics and Computational Science, Fuyang Normal College, Fuyang 236037,China 3. College of Mathematics, Inner Mongolia University for the Nationalities, Tongliao 028043, China) |
| |
| Abstract: | The asymptotic theorem about the medium point of the Simpson numerical integration formula＇s remainder was given, then a corrected Simpson numerical integration formula corresponding to this theorem was presented, which has higher algebraic accuracy than former Simpson numerical integration formula. |
| |
| Keywords: | Simpson numerical integration formula algebraic accuracy remainder |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
