| 上三角网格上基于Lebesgue常数最小带缺项的二元重心有理插值 |
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| 引用本文： | 余乃亮,赵前进.上三角网格上基于Lebesgue常数最小带缺项的二元重心有理插值[J].阜阳师范学院学报(自然科学版),2014(1):5-7. |
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| 作者姓名： | 余乃亮 赵前进 |
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| 作者单位： | 安徽理工大学理学院,安徽淮南232001 |
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| 基金项目： | 基金项目：国家自然科学基金项目（60973050）;安徽省教育厅自然科学基金项目（KJ2009A50）资助. |
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| 摘 要： | 与传统的差值方法相比,重心有理插值具有很多优点,如小的计算量、数值稳定性好、无极点、无不可达点、有任意高的逼近阶等。文章在上三角网格上基于Lebesgue常数最小为目标函数构造二元重心有理插值插值,并采用离散的方法求出最优解。数值实例表明新方法的可行性。
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| 关 键 词： | 重心有理插值 Lebesgue 缺项 三角网格 |
Bivariate barycentric rational interpolation based on minimal Lebesgue constant over lacunary triangular grids |
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| YU Nai-liang,ZHAO Qian-jin.Bivariate barycentric rational interpolation based on minimal Lebesgue constant over lacunary triangular grids[J].Journal of Fuyang Teachers College:Natural Science,2014(1):5-7. |
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| Authors: | YU Nai-liang ZHAO Qian-jin |
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| Institution: | (School of Science, Aihui University of Science ＆ Tectmology, Huainan Anhui 232001, China) |
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| Abstract: | Compared with traditional interpolating polynomial, barycentric rational interpolation possesses various advantages, such as small calculation, good numerical stability, no poles, no unattainable points and arbitrarily high approximation order, re- gardless of the distribution of the points. In this paper, a new rational interpolation based on the Lebesgue constant minimizing over lacunar）, triangular grids was presented and the optimal solution was got with discrete method. Numerical example was then given to demonstrate the feasibility of the new approach. |
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| Keywords: | barycentric rational interpolation Lebesgue constants lacuna13 triangular grids |
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