| 多重双三次叠样条插值 |
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| 引用本文： | 盛炙平. 多重双三次叠样条插值[J]. 北京机械工业学院学报, 1994, 9(1): 117-127 |
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| 作者姓名： | 盛炙平 |
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| 作者单位： | 北京机械工业学院基础部 |
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| 摘 要： | 本文建立了双三次叠样条插值函数,并将其推广到了多重的情形,证明了在适当选取边界条件后,双三次样条函数及各重双三次叠样条函数以 h~4的精度分别逼近充分光滑的2元函数及各阶偏导数.
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| 关 键 词： | 双三次叠样条 逼近 偏导数 插值 |
Mutiple Bicubic Spline-on-spline Interpolations |
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| Sheng Yangping. Mutiple Bicubic Spline-on-spline Interpolations[J]. Journal of Beijing Institute of Machinery, 1994, 9(1): 117-127 |
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| Authors: | Sheng Yangping |
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| Affiliation: | Sheng Yangping |
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| Abstract: | Thc multiplc cubic spline-on-splinc intcrpolation is generalized to multiple bicubic spline-on-spline interpolations.It is proved for smooth 2-variable functions and equally spaced rectangular meshes,by using special boundary conditions the multiple bicubic spline-on-spline interpolation can approximate lower order partial derivatives within error bound O(h~4). |
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| Keywords: | Mutiple Bicubic Spline-on-spline Approximate Partial Derivatives |
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