| 球面上Lagrange插值问题研究 |
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| 引用本文： | 崔利宏,姜莹莹,王星,陈文娟.球面上Lagrange插值问题研究[J].辽宁师范大学学报(自然科学版),2011,34(4). |
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| 作者姓名： | 崔利宏 姜莹莹 王星 陈文娟 |
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| 作者单位： | 辽宁师范大学数学学院,辽宁大连,116029 |
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| 摘 要： | 以代数几何中某些理论方法为工具,对球面上Lagrange插值问题进行了研究和探讨.将文献1]中所给出构造关于球面插值适定结点组的添加平面法推广到了添加圆锥曲面的情形,该方法是以迭加过程来实现的,因此便于在计算机上实现其构造过程.
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| 关 键 词： | Lagrange插值 适定结点组 球面插值 空间代数曲线插值 |
Some researches on Lagrange interpolation on a sphere |
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| CUI LI-hong,JIANG Ying-ying,WANG Xing,CHEN Wen-juan.Some researches on Lagrange interpolation on a sphere[J].Journal of Liaoning Normal University(Natural Science Edition),2011,34(4). |
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| Authors: | CUI LI-hong JIANG Ying-ying WANG Xing CHEN Wen-juan |
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| Institution: | CUI LI-hong,JIANG Ying-ying,WANG Xing,CHEN Wen-juan(School of Mathematics,Liaoning Normal University,Dalian 116029,China) |
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| Abstract: | In this paper,using some methods and theories in algebraic geometry as tools,the problem of Lagrange Interpolation on a sphere is researched and approached.The plane-superposed process which was given in \ for constructing Properly Posed set of Nodes of trivariate Lagrange interpolation along a sphere is generalized to some new methods.The conicoid-superposed process will assure not only the existence and uniqueness of the interpolation function,but also the schemes of interpolation can be conveniently acqu... |
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| Keywords: | Lagrange interpolation Properly Posped set of Nodes interpolation along a sphere interpolation along a space curve |
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