插值问题既是计算数学中的一个重要课题,也是科研工作中资料处理的一种重要方法。在水文气象资料处理中,插值往往是通过有经验的绘图员用手工绘制光滑曲线的方法解决的,其缺点是费时、费工、不准确,同一根曲线往往因人而异,不客观。计算机的发展,使得通过构造插值函数的方法进行插值变为现实。 常用的Lagrenge法和Newton法都是对几个节点构造n-1次线性多项式作为插值函 Interpolation is not only an important issue in computational mathematics, but also an important method of data processing in scientific research. In hydrometeorological data processing, interpolation is often solved by hand-drawn smooth curves by experienced draftsmen. The disadvantages are time-consuming, labor-intensive and inaccurate. The same curve often varies from person to person, not objectively. The development of computers makes it possible to interpolate by constructing interpolation functions. The commonly used Lagrenge and Newton methods construct n-1 linear polynomials for several nodes as interpolations