Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing

In this paper we translate to the cell-average setting the algorithm for the point-value discretization presented in Amat el al. (2020). This new strategy tries to improve the results of WENO-(2r−1) algorithm close to the singularities, resulting in an optimal order of accuracy at these zones. The m...

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Detalles Bibliográficos
Autores: Amat Plata, Sergio, Ruiz Álvarez, Juan, Shu, Chi-Wang, Yáñez Avendaño, Dionisio Félix
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:España
Institución:Universidad Politécnica de Cartagena(UPCT)
Repositorio:Repositorio Digital UPCT
OAI Identifier:oai:repositorio.upct.es:10317/11092
Acceso en línea:http://hdl.handle.net/10317/11092
https://www.sciencedirect.com/science/article/pii/S009630032100179X?via%3Dihub
Access Level:acceso abierto
Palabra clave:WENO
Cell-average
New optimal weights
Multiresolution schemes
Improved adaption to discontinuities
Signal processing
Matemática Aplicada
12 Matemáticas
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spelling Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processingAmat Plata, SergioRuiz Álvarez, JuanShu, Chi-WangYáñez Avendaño, Dionisio FélixWENOCell-averageNew optimal weightsMultiresolution schemesImproved adaption to discontinuitiesSignal processingMatemática Aplicada12 MatemáticasIn this paper we translate to the cell-average setting the algorithm for the point-value discretization presented in Amat el al. (2020). This new strategy tries to improve the results of WENO-(2r−1) algorithm close to the singularities, resulting in an optimal order of accuracy at these zones. The main idea is to modify the optimal weights so that they have a nonlinear expression that depends on the position of the discontinuities. In this paper we study the application of the new algorithm to signal processing using Harten’s multiresolution. Several numerical experiments are performed in order to confirm the theoretical results obtained.This work was funded by project 20928/PI/18 (Proyecto financiado por la Comunidad Autónoma de la Región de Murcia a través de la convocatoria de Ayudas a proyectos para el desarrollo de investigación científica y técnica por grupos competitivos, incluida en el Programa Regional de Fomento de la Investigación Científica y Técnica (Plan de Actuación 2018) de la Fundación Séneca-Agencia de Ciencia y Tecnología de la Región de Murcia) and through the national research project (MINECO/FEDER) PID2019-108336GB-I00. 2 The author has been supported through the NSF grant DMS-2010107 and AFOSR grant FA9550-20-1-0055. 3 The author has been supported through the Spanish MINECO project MTM2017-83942-P.ElsevierFundación SénecaMinisterio de Economía y CompetitividadAir Force Office of Scientific Research (AFOSR)National Science Foundation (NSF)202220222021info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/10317/11092https://www.sciencedirect.com/science/article/pii/S009630032100179X?via%3Dihubreponame:Repositorio Digital UPCTinstname:Universidad Politécnica de Cartagena(UPCT)Inglés20928/PI/18PID2019-108336GB-I00DMS-2010107FA9550-20-1-0055MTM2017-83942-PAtribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:repositorio.upct.es:10317/110922026-05-15T06:39:02Z
dc.title.none.fl_str_mv Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing
title Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing
spellingShingle Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing
Amat Plata, Sergio
WENO
Cell-average
New optimal weights
Multiresolution schemes
Improved adaption to discontinuities
Signal processing
Matemática Aplicada
12 Matemáticas
title_short Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing
title_full Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing
title_fullStr Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing
title_full_unstemmed Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing
title_sort Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing
dc.creator.none.fl_str_mv Amat Plata, Sergio
Ruiz Álvarez, Juan
Shu, Chi-Wang
Yáñez Avendaño, Dionisio Félix
author Amat Plata, Sergio
author_facet Amat Plata, Sergio
Ruiz Álvarez, Juan
Shu, Chi-Wang
Yáñez Avendaño, Dionisio Félix
author_role author
author2 Ruiz Álvarez, Juan
Shu, Chi-Wang
Yáñez Avendaño, Dionisio Félix
author2_role author
author
author
dc.contributor.none.fl_str_mv Fundación Séneca
Ministerio de Economía y Competitividad
Air Force Office of Scientific Research (AFOSR)
National Science Foundation (NSF)
dc.subject.none.fl_str_mv WENO
Cell-average
New optimal weights
Multiresolution schemes
Improved adaption to discontinuities
Signal processing
Matemática Aplicada
12 Matemáticas
topic WENO
Cell-average
New optimal weights
Multiresolution schemes
Improved adaption to discontinuities
Signal processing
Matemática Aplicada
12 Matemáticas
description In this paper we translate to the cell-average setting the algorithm for the point-value discretization presented in Amat el al. (2020). This new strategy tries to improve the results of WENO-(2r−1) algorithm close to the singularities, resulting in an optimal order of accuracy at these zones. The main idea is to modify the optimal weights so that they have a nonlinear expression that depends on the position of the discontinuities. In this paper we study the application of the new algorithm to signal processing using Harten’s multiresolution. Several numerical experiments are performed in order to confirm the theoretical results obtained.
publishDate 2021
dc.date.none.fl_str_mv 2021
2022
2022
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10317/11092
https://www.sciencedirect.com/science/article/pii/S009630032100179X?via%3Dihub
url http://hdl.handle.net/10317/11092
https://www.sciencedirect.com/science/article/pii/S009630032100179X?via%3Dihub
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv 20928/PI/18
PID2019-108336GB-I00
DMS-2010107
FA9550-20-1-0055
MTM2017-83942-P
dc.rights.none.fl_str_mv Atribución-NoComercial-SinDerivadas 3.0 España
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial-SinDerivadas 3.0 España
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositorio Digital UPCT
instname:Universidad Politécnica de Cartagena(UPCT)
instname_str Universidad Politécnica de Cartagena(UPCT)
reponame_str Repositorio Digital UPCT
collection Repositorio Digital UPCT
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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