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Solution of ill-posed problems with Chebfun

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Bibliographic Details
Main Authors: A., Alqahtani, T., Mach, L., Reichel
Format: Book
Language:English
Published: Springer 2023
Subjects:
analysis of linear ill-posed problems
function spaces using tools
Online Access:https://link.springer.com/article/10.1007/s11075-022-01390-z
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7340
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spelling oai:localhost:PNK-73402023-03-30T07:52:42Z Solution of ill-posed problems with Chebfun A., Alqahtani T., Mach L., Reichel analysis of linear ill-posed problems function spaces using tools CC BY The analysis of linear ill-posed problems often is carried out in function spaces using tools from functional analysis. However, the numerical solution of these problems typically is computed by first discretizing the problem and then applying tools from finite-dimensional linear algebra. The present paper explores the feasibility of applying the Chebfun package to solve ill-posed problems with a regularize-first approach numerically. This allows a user to work with functions instead of vectors and with integral operators instead of matrices. The solution process therefore is much closer to the analysis of ill-posed problems than standard linear algebra-based solution methods. 2023-03-30T07:52:40Z 2023-03-30T07:52:40Z 2023 Book https://link.springer.com/article/10.1007/s11075-022-01390-z https://dlib.phenikaa-uni.edu.vn/handle/PNK/7340 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic analysis of linear ill-posed problems
function spaces using tools
spellingShingle analysis of linear ill-posed problems
function spaces using tools
A., Alqahtani
T., Mach
L., Reichel
Solution of ill-posed problems with Chebfun
description CC BY
format Book
author A., Alqahtani
T., Mach
L., Reichel
author_facet A., Alqahtani
T., Mach
L., Reichel
author_sort A., Alqahtani
title Solution of ill-posed problems with Chebfun
title_short Solution of ill-posed problems with Chebfun
title_full Solution of ill-posed problems with Chebfun
title_fullStr Solution of ill-posed problems with Chebfun
title_full_unstemmed Solution of ill-posed problems with Chebfun
title_sort solution of ill-posed problems with chebfun
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s11075-022-01390-z
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7340
_version_ 1761821914734526464
score 8.891145

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