两类三次样条插值函数的统一解法

General Algorithm of Two Kinds of Cubic Spline Interpolation Functions

用统一的算法实现两类不同的样条插值 .对两类样条的初始条件所得的方程进行整合 ,统一处理 ,得出了三次样条插值函数的详尽的计算公式 .在不改变误差和收敛性的前提下 ,实现了两类三次样条插值的统一算法 .实践证明 。

The aim is to solve two kinds of cubic spline interpolation functions in a gener al algorithm and show the detailed derivation. By combining the spline equation s based on the initial conditions for two kinds of splines, the calculation form ula for cubic spline interpolation functions is derived in detail without changi ng the error and convergence. The research shows that two kinds of cubic spline interpolation functions can be solved in this algorithm.