等距节点的Newton插值余项估计研究及计算方法  

The estimating research and computing method on newton Interpolation remainder of equally spaced nodes

作　　者：刘照军[1] 聂斌[1] 彭磊[1] 韩晓明[1] 宋枚枚[1] 

机构地区：[1]泰山医学院信息工程学院,山东泰安271016

出　　处：《泰山医学院学报》2007年第7期493-494,共2页Journal of Taishan Medical College

摘　　要：目的给出Newton插值余项新的估计公式。方法通过研究传统Newton插值余项公式的性质,利用VB编写程序检验结论。结果得到新的Newton插值余项估计公式,对此做出了推导和证明。结论通过研究等距节点的Newton插值公式,尤其通过估计和计算其余项,得出了插值点选在中间时精度要优于选在端点附近的结论,t值也可放大为,并给出易于计算的新的余项估计式。Objective： giving a new estimating formula on Newton interpolation remainder.Methods： through researching the property of the traditional formula on Newton interpolation remainder,to verify the conclusion by program written with VB.Results： through deducing and proving,getting a new estimating formula on Newton interpolation remainder.Conclusion： through researching the formula on Newton interpolation of equally spaced nodes,especially through estimating and computing the remainder,we can draw a conclusion that the precision of the interpolation point selected in the middle is higher than near the end,the value of t also should be magnified to,and giving a new estimating formula on remainder which is easy to compute.

关 键 词：等距节点 Newton插值 插值余项 插值点 

分 类 号：O241.3[理学—计算数学]