Precise calculation of numerical derivatives using Lagrange and Hermite interpolation
type: Item
instance of: scholarly article
title: Precise calculation of numerical derivatives using Lagrange and Hermite interpolation
zbMATH Open document ID: 0706.65010
DOI: 10.1016/0898-1221(90)90096-3
publication date: 1990-01-01T00:00:00Z
review text: The author derives formulae based on the classical Lagrange and Hermite interpolation. Lagrange interpolation is used when the function is given at equidistant nodes and one wants the values of the derivatives at these nodes. Hermite interpolation is used when the data contains values of some derivatives at some nodes. Practically, the expressions for the derivatives from the Lagrange and Hermite interpolation formulae become very cumbersome when the number of nodes increases. For this reason, the author exploits these general expressions using the REDUCE language for algebraic manipulation.
Mathematics Subject Classification ID: 65D25
Mathematics Subject Classification ID: 68W30
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 41A05
zbMATH DE Number: 4159952
zbMATH Keywords: numerical derivatives
zbMATH Keywords: Lagrange interpolation
zbMATH Keywords: Hermite interpolation
zbMATH Keywords: REDUCE language
zbMATH Keywords: algebraic manipulation
author: F. Feuillebois
reviewed by: Yongsheng Sun
describes a project that uses: REDUCE
MaRDI profile type: Publication
full work available at URL: 0898-1221(90)90096-3
OpenAlex ID: W1998861186
cites work: Q5733898
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 4159952