高次插值Runge现象的可视化教学初探

On the Visualization Teaching for the Runge Phenomena of High Order Interpolation

本文给出了Lagrange插值的Matlab脚本文件,实现了高次插值Runge现象的图形演示,并结合图形分析了Runge现象产生的原因,这种探讨可促进教学及其研究。

M-files of Lagrange interpolation are given and the graphs of high order interpolation are carried out in this paper.On the basis of the graphs,we attempt to analyse the cause of Runge phenomena to assist teaching.