水文资料插值计算方法探讨

Discussion on the interpolation calculation methods of hydrological data

本文利用5种常用的插值计算方法,对海洋实测资料序列中的某些固定节点进行插值计算,然后根据均方误差和图形拟合相结合的方法,探讨插值计算方法的适用性及应用条件并得出结论:阿基玛插值和三点拉格朗日插值效果拟合性最好,具有普遍应用性,多点拉格朗日和线性插值较为中性,在插值步长不大的条件下,插值效果较好,而牛顿插值不稳定,应用条件相对苛刻。

This paper calculated some fixed nodes of oceanographic data lists with five usual interpolation calculation methods, and discussed the applicability and the applied condition of the interpolation calculation methods based on the method of integration of square average error and the simulating pictures, and drew the conclusion： The simulant interpolation effect of Akima interpolation method and three nodes Lagrangian interpolation method is the best, it is universally used. On condition that the interpolation spacing is not too far-between, more than three nodes Lagrangian interpolation method and linear interpolation method is well. Nuton interpolation method is unstable, and needs rigorous conditions.