| 边界条件对双三次插值样条的影响 |
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| 引用本文： | 许有信,由银. 边界条件对双三次插值样条的影响[J]. 南京航空航天大学学报, 1989, 0(3) |
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| 作者姓名： | 许有信 由银 |
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| 作者单位： | 南京航空学院数理力学系(许有信)，南京航空学院数理力学系(由银) |
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| 摘 要： | 本文对非均匀双三次Ⅰ型插值样条的研究,得出了由Ⅰ型边界值所控制的在网格结点上的一阶偏导数和二阶混合偏导数的估计式。比较文[4]发现,文[4]中所得出的均匀双三次插值样条的结论有误,本文一并提出进行商讨。
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| 关 键 词： | 应用数学 样条插值 边界条件 |
Influence of Boundary Condition upon Bicubic interpolation Spline |
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| Xu Youxin You Yin. Influence of Boundary Condition upon Bicubic interpolation Spline[J]. Journal of Nanjing University of Aeronautics & Astronautics, 1989, 0(3) |
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| Authors: | Xu Youxin You Yin |
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| Abstract: | A non-uniform bicubic interpolation spline of type I is studied in this paper and an evaluation expression of the first partial derivatives and the second mixed partial derivatives controlled by type I boundary condition is derived at the knoto. In comparison with Ref, [4] it is found that the conclusion of the uniform bicubic interpolation spline given in Ref. [4] was somewhat in error, and a discussion of its error is made herewith. |
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| Keywords: | applied mathematics spline interpolation boundary condition |
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