|
|||||
|
|
Representation for the Lagrangian numerical differentiation formula involving elementary symmetric functions |
|
| Authors: | Honghuan Bai Feng Cui |
| Institution: | a Department of Mathematics, Zhejiang University, Hangzhou, 310027, China b Institute of Mathematics, Zhejiang wanli University, Ningbo, 315100, China c College of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou, 310018, China |
| Abstract: | By using elementary symmetric functions, this paper presents an explicit representation for the Lagrangian numerical differentiation formula as well as the error estimate for local approximation. And we also point out that the numerical differentiation formula constructed by Li J.P. Li, General explicit difference formulas for numerical differentiation, J. Comput. Appl. Math. 183 (2005) 29-52] is actually a special case of the Lagrangian numerical differentiation formula to approximate the values of the derivatives at the nodes. |
| Keywords: | Lagrange interpolation Numerical differentiation Elementary symmetric function Cycle indicator of symmetric group |
| 本文献已被 ScienceDirect 等数据库收录！ | |