| 一类三角域上的三次样条插值(英文) |
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| 引用本文： | 陈丽娟,罗钟铉. 一类三角域上的三次样条插值(英文)[J]. 东北数学, 2008, 24(3): 219-232 |
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| 作者姓名： | 陈丽娟 罗钟铉 |
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| 作者单位： | School;Science;Qingdao;Technological;University;Department;Applied;Mathematics;Dalian;Technology; |
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| 基金项目： | 国家自然科学基金 ， Program of New Century Excellent Fellowshipof NECC ， a DoD fund |
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| 摘 要： | In this paper, we consider spaces of cubic C^1-spline on a class of triangulations. By using the inductive algorithm, the posed Lagrange interpolation sets are constructed for cubic spline space. It is shown that the class of triangulations considered in this paper are nonsingular for S1/3 spaces. Moreover, the dimensions of those spaces exactly equal to L. L. Schuraaker＇s low bounds of the dimensions. At the end of this paper, we present an approach to construct triangulations from any scattered planar points, which ensures that the obtained triangulations for S1/3 space are nonsingular.
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| 关 键 词： | 三角域 样条插值 数学分子 三角测量 |
Cubic Spline Interpolation on a Class of Triangulations |
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| CHEN Li-juan LUO Zhong-xuan. Cubic Spline Interpolation on a Class of Triangulations[J]. Northeastern Mathematical Journal, 2008, 24(3): 219-232 |
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| Authors: | CHEN Li-juan LUO Zhong-xuan |
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| Affiliation: | [1]School of Science, Qingdao Technological University, Qingdao, 266033 [2]Department of Apptied Mathematics, Dalian University of Technology, Dalian, 116024 |
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| Abstract: | In this paper, we consider spaces of cubic C1-spline on a class of trian-gulations. By using the inductive algorithm, the posed Lagrange interpolation sets are constructed for cubic spline space. It is shown that the class of triangulations considered in this paper are nonsingular for S13 spaces. Moreover, the dimensions of those spaces exactly equal to L. L. Schumaker's low bounds of the dimensions. At the end of this paper, we present an approach to construct triangulations from any scattered planar points, which ensures that the obtained triangulations for S13 space are nonsingular. |
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| Keywords: | cubic spline lagrange interpolation set dimension triangulation |
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