Regularised discretisations obtained from first‐kind Fredholm operator equations

Regularised discretisations obtained from first‐kind Fredholm operator equations

Abstract Judicious discretisations of certain first‐kind Fredholm operator equations are tantamount to Fredholm infinite‐matrix equations of the second kind. We give detailed explanations for the occurrence of this interesting and useful phenomenon and carefully examine the behaviour of the discreti...

Full description

Bibliographic Details
Main Author: George Fikioris
Format: Article
Language:English
Published: Wiley 2021-03-01
Series:IET Microwaves, Antennas & Propagation
Online Access:https://doi.org/10.1049/mia2.12047
id doaj-58b5e3b0870d48d898c33f10b015630f
record_format Article
spelling doaj-58b5e3b0870d48d898c33f10b015630f2021-07-14T13:26:03ZengWileyIET Microwaves, Antennas & Propagation1751-87251751-87332021-03-0115435736310.1049/mia2.12047Regularised discretisations obtained from first‐kind Fredholm operator equationsGeorge Fikioris0School of Electrical and Computer Engineering National Technical University Zografou GreeceAbstract Judicious discretisations of certain first‐kind Fredholm operator equations are tantamount to Fredholm infinite‐matrix equations of the second kind. We give detailed explanations for the occurrence of this interesting and useful phenomenon and carefully examine the behaviour of the discretisations, especially with respect to matrix condition numbers. Our main tool is a certain equivalence of the discretisations――within the context of finite matrices―to discretisations of Fredholm operator equations of the second kind.https://doi.org/10.1049/mia2.12047
collection DOAJ
language English
format Article
sources DOAJ
author George Fikioris
spellingShingle George Fikioris
Regularised discretisations obtained from first‐kind Fredholm operator equations
IET Microwaves, Antennas & Propagation
author_facet George Fikioris
author_sort George Fikioris
title Regularised discretisations obtained from first‐kind Fredholm operator equations
title_short Regularised discretisations obtained from first‐kind Fredholm operator equations
title_full Regularised discretisations obtained from first‐kind Fredholm operator equations
title_fullStr Regularised discretisations obtained from first‐kind Fredholm operator equations
title_full_unstemmed Regularised discretisations obtained from first‐kind Fredholm operator equations
title_sort regularised discretisations obtained from first‐kind fredholm operator equations
publisher Wiley
series IET Microwaves, Antennas & Propagation
issn 1751-8725
1751-8733
publishDate 2021-03-01
description Abstract Judicious discretisations of certain first‐kind Fredholm operator equations are tantamount to Fredholm infinite‐matrix equations of the second kind. We give detailed explanations for the occurrence of this interesting and useful phenomenon and carefully examine the behaviour of the discretisations, especially with respect to matrix condition numbers. Our main tool is a certain equivalence of the discretisations――within the context of finite matrices―to discretisations of Fredholm operator equations of the second kind.
url https://doi.org/10.1049/mia2.12047
work_keys_str_mv AT georgefikioris regulariseddiscretisationsobtainedfromfirstkindfredholmoperatorequations
_version_ 1721302690279981056

Similar Items