| 分段三次Hermite插值在水文上的应用 |
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| 作者姓名： | 张旭臣 |
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| 作者单位： | 河北省承德水文水资源勘测局,河北,承德,067000 |
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| 摘 要： | Hermite插值是样条插值的基础,具有很强的适应性和可控性.如果能够用适当的方法来计算出节点处的导数,则可以构造一种新的分段三次Hermit插值函数,它具有C1连续性并在子区间保持单调.该方法在水文资料的计算机处理等领域具有很好的应用前景.
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| 关 键 词： | 分段三次Hermit插值 线性插值 越界 差商 |
Piecewise Cubic Hermite Interpolation Function and Its Application to Hydrology |
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| Authors: | ZHANG Xu-chen |
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| Affiliation: | Chengde Bureau for Hydrology and Water Resources Survey of Hebei Province;Chengde 067000;China |
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| Abstract: | The Hermite Interpolating is foundation of spline interpolation,and it has very strong adaptability and controllability. If we can use suitable method to calculate the derivative at nodes,a new piecewise cubic hermit interpolation function can be proposed,which has C1 continuity and monotonicity preserving in the subinterval. This method has very broad prospect in many fields such as the application in hydrological data processing by computer. |
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| Keywords: | piecewise cubic Hermit interpolating linear interpolating cross-border difference quotient |
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