| 用径向基函数插值解自共轭椭圆型方程 |
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| 引用本文： | 张颖超,吕凤云,孙乐林.用径向基函数插值解自共轭椭圆型方程[J].数学杂志,2007,27(5):541-545. |
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| 作者姓名： | 张颖超 吕凤云 孙乐林 |
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| 作者单位： | 武汉大学数学与统计学院,湖北武汉,430072 |
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| 基金项目： | 国防科技重点实验室基金PDC资助研究项目 |
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| 摘 要： | 本文讨论用MQ作为插值的径向基函数,对自共轭椭圆型方程进行插值,证明了插值系数的唯一性,并用投影法证明了用径向基函数解自共轭椭圆型方程的收敛性.
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| 关 键 词： | 自共轭椭圆型方程 径向基函数 投影法 |
| 文章编号： | 0255-7797（2007）05-0541-05 |
| 修稿时间： | 2005-09-02 |
SOLVING A SELF-CONJUGATE ELLIPTIC EQUATION WITH THE INTERPOLATION PROPERTY OF RADIAL BASIS FUNCTION |
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| ZHANG Ying-chao,LU Feng-yun,SUN Le-lin.SOLVING A SELF-CONJUGATE ELLIPTIC EQUATION WITH THE INTERPOLATION PROPERTY OF RADIAL BASIS FUNCTION[J].Journal of Mathematics,2007,27(5):541-545. |
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| Authors: | ZHANG Ying-chao LU Feng-yun SUN Le-lin |
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| Institution: | School of Math. , and Statistics ,Wuhan University , Wuhan 430072,China |
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| Abstract: | In this paper, we analyse solving the self-conjugate elliptic equatoins with the radial basis function,and prove the uniqueness about coefficient.Then,we prove the convergence of the radial basis function for solving partial differential equations with projection methods. |
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| Keywords: | radial basis function self-conjugate elliptic equations projection methods |
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