| 基于五次叠样条的数值积分公式 |
| |
| 引用本文： | 傅凯新,舒适.基于五次叠样条的数值积分公式[J].湘潭大学自然科学学报,1996,18(3):7-10. |
| |
| 作者姓名： | 傅凯新 舒适 |
| |
| 作者单位： | 湘潭大学数学系 |
| |
| 摘 要： | 基于五次叠样条本文获得了一个光滑函数的数值积分公式，它的精度比使用单一五次样条获得的数值积分公式要高二阶，它的误差约为复化梯形公式三次外推结果误差的１／２８６。
|
| 关 键 词： | 数值积分 叠样条 Hermite插值 误差估计 |
ON QUINTIC SPLINE ON SPLINE NUMERICAL INTEGRATION FORMULA |
| |
| Fu Kaixin,Su Sui.ON QUINTIC SPLINE ON SPLINE NUMERICAL INTEGRATION FORMULA[J].Natural Science Journal of Xiangtan University,1996,18(3):7-10. |
| |
| Authors: | Fu Kaixin Su Sui |
| |
| Abstract: | In this paper,we obtained a numerical integration formula for smooth function using the quintic spline-on-spline technique. Calculation accuracy of this method is higher two order than numerical integration formula using a single quintic spline.The rate of the er rors of this method and the extrapolation of the trapezoidal rule is about 1/286. |
| |
| Keywords: | numerial integration spline-on-spline Hermite inter-polation |
| 本文献已被 CNKI 维普 等数据库收录！ |
