| 散乱数据带自然边界条件三元多项式光顺样条 |
| |
| 引用本文： | 徐应祥,关履泰,许伟志.散乱数据带自然边界条件三元多项式光顺样条[J].中山大学学报(自然科学版),2012,51(2):22-29. |
| |
| 作者姓名： | 徐应祥 关履泰 许伟志 |
| |
| 作者单位： | 中山大学新华学院;中山大学科学计算与计算机应用系 |
| |
| 基金项目： | 教育部高等学校博士点科研基金资助项目(200805581022);广东省自然科学基金资助项目(7003624) |
| |
| 摘 要： | 考虑对4维空间散乱数据的一种带自然边界条件的样条光顺。为使得给定的目标泛函达到极小,用Hilbert空间样条函数方法，得出其解可表为一个分片三元多项式,其表示形式简单,且系数可由线性代数方程组确定。最后给出一些数值例子进行了验证。
|
| 关 键 词： | 散乱数据 光顺 自然边界条件 样条 |
| 收稿时间： | 2011-05-19; |
Tri-variable Polynomial Smoothing Spline with Natural Boundary Conditions for Scattered Data |
| |
| XU Yingxiang,GUAN Lutai,XU Weizhi.Tri-variable Polynomial Smoothing Spline with Natural Boundary Conditions for Scattered Data[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2012,51(2):22-29. |
| |
| Authors: | XU Yingxiang GUAN Lutai XU Weizhi |
| |
| Institution: | 1.Xinhua College,Sun Yat-sen University,Guangzhou 510520,China; 2.Department of Scientific Computation and Computer Application,Sun Yat-sen University, Guangzhou 510275,China) |
| |
| Abstract: | A spline smoothing method with natural boundary conditions for scattered data of 4D are considered.In order to minimization the given objective functional,using the spline function methods of Hilbert space,the solution is constructed as a piecewise tri-variable polynomial.Its expression is so simple and the coefficients are decided by a linear system.Some numerical examples are presented to illustrate the method. |
| |
| Keywords: | scattered data smoothing natural boundary conditions spline |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《中山大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《中山大学学报(自然科学版)》下载免费的PDF全文 |
