On the spline-based method for experimental data deconvolution

L. L. Kosachevskaya; V. V. Romanovtsev; I. E. Shparlinskiy

doi:10.1016/0010-4655(83)90002-4

On the spline-based method for experimental data deconvolution

L. L. Kosachevskaya^*, V. V. Romanovtsev, I. E. Shparlinskiy

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

The spline-based method for solving the Fredholm integral equation of the first kind, earlier suggested by Beniaminy and Deutsch, is discussed. The inaccuracy of the solution is estimated. It is shown that this inaccuracy is of the order of O(h³) where h is a small parameter reflecting the measure of δ-likeness of the kernel.

Original language	English
Pages (from-to)	227-230
Number of pages	4
Journal	Computer Physics Communications
Volume	29
Issue number	3
DOIs	https://doi.org/10.1016/0010-4655(83)90002-4
Publication status	Published - 1983
Externally published	Yes

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10.1016/0010-4655(83)90002-4

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@article{418f9ef8aec14d7ca104adb21c1d50f3,

title = "On the spline-based method for experimental data deconvolution",

abstract = "The spline-based method for solving the Fredholm integral equation of the first kind, earlier suggested by Beniaminy and Deutsch, is discussed. The inaccuracy of the solution is estimated. It is shown that this inaccuracy is of the order of O(h3) where h is a small parameter reflecting the measure of δ-likeness of the kernel.",

author = "Kosachevskaya, \{L. L.\} and Romanovtsev, \{V. V.\} and Shparlinskiy, \{I. E.\}",

year = "1983",

doi = "10.1016/0010-4655(83)90002-4",

language = "English",

volume = "29",

pages = "227--230",

journal = "Computer Physics Communications",

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T1 - On the spline-based method for experimental data deconvolution

AU - Kosachevskaya, L. L.

AU - Romanovtsev, V. V.

AU - Shparlinskiy, I. E.

PY - 1983

Y1 - 1983

N2 - The spline-based method for solving the Fredholm integral equation of the first kind, earlier suggested by Beniaminy and Deutsch, is discussed. The inaccuracy of the solution is estimated. It is shown that this inaccuracy is of the order of O(h3) where h is a small parameter reflecting the measure of δ-likeness of the kernel.

AB - The spline-based method for solving the Fredholm integral equation of the first kind, earlier suggested by Beniaminy and Deutsch, is discussed. The inaccuracy of the solution is estimated. It is shown that this inaccuracy is of the order of O(h3) where h is a small parameter reflecting the measure of δ-likeness of the kernel.

UR - https://www.scopus.com/pages/publications/48749143225

U2 - 10.1016/0010-4655(83)90002-4

DO - 10.1016/0010-4655(83)90002-4

M3 - Article

AN - SCOPUS:48749143225

SN - 0010-4655

VL - 29

SP - 227

EP - 230

JO - Computer Physics Communications

JF - Computer Physics Communications

IS - 3

ER -

On the spline-based method for experimental data deconvolution

Abstract

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