插值型数值微分的性质及其应用  

Properties of Interpolation-based Numerical Differential and Their Application

作　　者：彭彬[1] 

机构地区：[1]湖北汽车工业学院电气与信息工程学院,湖北十堰442002

出　　处：《电脑与电信》2009年第4期49-51,54,共4页Computer & Telecommunication

摘　　要：从插值型数值微分的矩阵形式出发,通过分析拉格朗日插值多项式中w(x)的特性,推导出等距节点条件下插值型数值微分的几个性质,应用这些性质可以快速得到低阶插值型数值微分公式。From the matrix form of interpolation numerical differentiation, by analyzing the characteristics of w （x） of Lagrange interpolation polynomial, several interpolation numerical differential properties under the condition of equidistant nodes are derived. These properties could be used to get low order interpolation numerical differential formula quickly.

关 键 词：数值微分 插值 微分公式 

分 类 号：O241[理学—计算数学] TV74[理学—数学]