Simplified analytical expressions for numerical differentiation via cycle index
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摘要
Based on the Lagrange interpolation to the function f[x0,⋅] for arbitrarily chosen x0 and logarithmic differentiation, we give a simple approach to analytical expressions for numerical differentiation using cycle index. A detailed analysis for the remainder is also included.
论文关键词：primary,65L12,secondary,65D25,05A15,Lagrange interpolation,Divided differences,Faá di Bruno’s formula,Cycle index polynomial
论文评审过程：Received 19 November 2007, Revised 2 May 2008, Available online 24 May 2008.
论文官网地址：https://doi.org/10.1016/j.cam.2008.05.024
