摘要
推导了三次样条插值在求解列表函数的数值微分与积分的公式,给出了余项估计,编写了用于求解数值微分与积分的通用程序,通过数值算例表明,三次样条在插值逼近中具有非常好的性质.
The formulas solving numerical differential and integral of discrete function are deduced in this paper. We estimate the error of cubic splint with the first boundary condition. The universal procedures are realized in the environment of Matlab. By numerical simulation the practicability and effectiveness are verified. It provides an easy method of using cubic splint function for solving numerical differential and integral of discrete function.
出处
《东莞理工学院学报》
2007年第5期15-18,共4页
Journal of Dongguan University of Technology
关键词
三次样条
插值函数
数值微分
数值积分
cubic splint
interpolation function
numerical differential
numerical integral
