Hermite interpolation and its numerical differentiation formula involving symmetric functions

DOI10.1007/s11766-009-2062-yzbMath1212.65038OpenAlexW2079770934MaRDI QIDQ981088

Honghuan Bai, Aimin Xu

Publication date: 8 July 2010

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-009-2062-y

zbMATH Keywords

numerical differentiationHermite interpolationcomplete symmetric functionelementary symmetric function

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Numerical differentiation (65D25)

Related Items (1)

Multi-variate Hardy-type lattice point summation and Shannon-type sampling

Cites Work

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• On the divided differences of the remainder in polynomial interpolation
• Stable Lagrangian numerical differentiation with the highest order of approximation
• Explicit representations for local Lagrangian numerical differentiation
• Closed-form expressions for the finite difference approximations of first and higher derivatives based on Taylor series
• Mathematical proof of closed form expressions for finite difference approximations based on Taylor series
• Taylor series based finite difference approximations of higher-degree derivatives
• Representation for the Lagrangian numerical differentiation formula involving elementary symmetric functions
• General explicit difference formulas for numerical differentiation
• On the Hermite interpolation

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