An algorithm for experimental data deconvolution using spline functions
type: Item
instance of: scholarly article
title: An algorithm for experimental data deconvolution using spline functions
zbMATH Open document ID: 0531.65077
DOI: 10.1016/0021-9991(83)90022-0
published in: Journal of Computational Physics
publication date: 1983-01-01T00:00:00Z
review text: This paper presents an efficient numerical algorithm for experimental data deconvolution by means of spline approximation, requiring no a priori knowledge. The number of the knots of the spline and their positions are determined automatically utilizing the value of a prescribed parameter controlling the trade-off between the closeness of the fit and the smoothness of the spline approximation. Detailed numerical examples and computer results are reported to illustrate the performance and the reliability of the method proposed.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65D10
Mathematics Subject Classification ID: 45E10
zbMATH DE Number: 3843125
zbMATH Keywords: convolution type
zbMATH Keywords: data fitting
zbMATH Keywords: closeness of fit
zbMATH Keywords: smoothness of approximation
zbMATH Keywords: measuring device
zbMATH Keywords: statistics of errors
zbMATH Keywords: experimental data deconvolution
zbMATH Keywords: spline approximation
zbMATH Keywords: numerical examples
zbMATH Keywords: computer results
author: Paul Dierckx
MaRDI profile type: Publication
full work available at URL: 0021-9991(83)90022-0
OpenAlex ID: W1981039615
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cites work: The Calculation of Indefinite Integrals of B-splines
cites work: Least Squares Computations by Givens Transformations Without Square Roots
cites work: Smoothing by spline functions.
description: scientific article; zbMATH DE number 3843125