Numerical integration formulas based on iterated cubic splines
type: Item
instance of: scholarly article
title: Numerical integration formulas based on iterated cubic splines
zbMATH Open document ID: 0806.65015
DOI: 10.1007/BF02246511
published in: Computing
publication date: 1994-09-12T00:00:00Z
review text: This paper concerns the Euler-MacLaurin integration formula. The derivatives \(f^{(m)}\) are approximated by the \(m\)th iterated cubic spline. Asymptotic error estimates for the iterated cubic spline and for the integration formula are deduced. Numerical examples illustrate the prescribed method.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 65B15
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 41A80
zbMATH DE Number: 637431
zbMATH Keywords: numerical examples
zbMATH Keywords: Euler-MacLaurin integration formula
zbMATH Keywords: cubic spline
zbMATH Keywords: error estimates
author: Manabu Sakai
author: Riaz A. Usmani
reviewed by: Rudolf Scherer
MaRDI profile type: Publication
cites work: Q5540873
cites work: On consistency relations for cubic splines-on-splines and asymptotic error estimates
cites work: On spline-on-spline numerical integration formula
cites work: Order-Preserving Approximations to Successive Derivatives of Periodic Functions by Iterated Splines
full work available at URL: https://doi.org/10.1007/bf02246511
OpenAlex ID: W4230109078
description: scientific article; zbMATH DE number 637431