Partial differential equations as three-dimensional inverse problem of moments

Autores
Pintarelli, María Beatriz; Vericat, Fernando
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We considerer partial differential equations of second order, for example the Klein-Gordon equation, the Poisson equation, on a region E= (a1, b1)x(a2, b2)x(a3, b3). We will see that with a common procedure in all cases, we can write the equation in partial derivatives as an Fredholm integral equation of first kind and will solve this latter with the techniques of inverse problem moments. We will find an approximated solution and bounds for the error of the estimated solution using the techniques on problem of moments.
Grupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de Ingeniería
Instituto de Física de Líquidos y Sistemas Biológicos
Materia
Matemática
Partial differential equations
Fredholm integral equations
Generalized moment problem
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/101921
Acceder
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network_name_str SEDICI (UNLP)
spelling Partial differential equations as three-dimensional inverse problem of momentsPintarelli, María BeatrizVericat, FernandoMatemáticaPartial differential equationsFredholm integral equationsGeneralized moment problemWe considerer partial differential equations of second order, for example the Klein-Gordon equation, the Poisson equation, on a region E= (a<sub>1</sub>, b<sub>1</sub>)x(a<sub>2</sub>, b<sub>2</sub>)x(a<sub>3</sub>, b<sub>3</sub>). We will see that with a common procedure in all cases, we can write the equation in partial derivatives as an Fredholm integral equation of first kind and will solve this latter with the techniques of inverse problem moments. We will find an approximated solution and bounds for the error of the estimated solution using the techniques on problem of moments.Grupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de IngenieríaInstituto de Física de Líquidos y Sistemas Biológicos2014-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf657-666http://sedici.unlp.edu.ar/handle/10915/101921enginfo:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/33885info:eu-repo/semantics/altIdentifier/url/http://www.davidpublisher.org/index.php/Home/Article/index?id=484.htmlinfo:eu-repo/semantics/altIdentifier/issn/2159-5291info:eu-repo/semantics/altIdentifier/hdl/11336/33885info:eu-repo/semantics/altIdentifier/doi/10.17265/2159-5291/2014.10.001info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc/4.0/Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-03T10:52:16Zoai:sedici.unlp.edu.ar:10915/101921Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 10:52:17.207SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Partial differential equations as three-dimensional inverse problem of moments
title Partial differential equations as three-dimensional inverse problem of moments
spellingShingle Partial differential equations as three-dimensional inverse problem of moments
Pintarelli, María Beatriz
Matemática
Partial differential equations
Fredholm integral equations
Generalized moment problem
title_short Partial differential equations as three-dimensional inverse problem of moments
title_full Partial differential equations as three-dimensional inverse problem of moments
title_fullStr Partial differential equations as three-dimensional inverse problem of moments
title_full_unstemmed Partial differential equations as three-dimensional inverse problem of moments
title_sort Partial differential equations as three-dimensional inverse problem of moments
dc.creator.none.fl_str_mv Pintarelli, María Beatriz
Vericat, Fernando
author Pintarelli, María Beatriz
author_facet Pintarelli, María Beatriz
Vericat, Fernando
author_role author
author2 Vericat, Fernando
author2_role author
dc.subject.none.fl_str_mv Matemática
Partial differential equations
Fredholm integral equations
Generalized moment problem
topic Matemática
Partial differential equations
Fredholm integral equations
Generalized moment problem
dc.description.none.fl_txt_mv We considerer partial differential equations of second order, for example the Klein-Gordon equation, the Poisson equation, on a region E= (a<sub>1</sub>, b<sub>1</sub>)x(a<sub>2</sub>, b<sub>2</sub>)x(a<sub>3</sub>, b<sub>3</sub>). We will see that with a common procedure in all cases, we can write the equation in partial derivatives as an Fredholm integral equation of first kind and will solve this latter with the techniques of inverse problem moments. We will find an approximated solution and bounds for the error of the estimated solution using the techniques on problem of moments.
Grupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de Ingeniería
Instituto de Física de Líquidos y Sistemas Biológicos
description We considerer partial differential equations of second order, for example the Klein-Gordon equation, the Poisson equation, on a region E= (a<sub>1</sub>, b<sub>1</sub>)x(a<sub>2</sub>, b<sub>2</sub>)x(a<sub>3</sub>, b<sub>3</sub>). We will see that with a common procedure in all cases, we can write the equation in partial derivatives as an Fredholm integral equation of first kind and will solve this latter with the techniques of inverse problem moments. We will find an approximated solution and bounds for the error of the estimated solution using the techniques on problem of moments.
publishDate 2014
dc.date.none.fl_str_mv 2014-10
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/101921
url http://sedici.unlp.edu.ar/handle/10915/101921
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/33885
info:eu-repo/semantics/altIdentifier/url/http://www.davidpublisher.org/index.php/Home/Article/index?id=484.html
info:eu-repo/semantics/altIdentifier/issn/2159-5291
info:eu-repo/semantics/altIdentifier/hdl/11336/33885
info:eu-repo/semantics/altIdentifier/doi/10.17265/2159-5291/2014.10.001
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc/4.0/
Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc/4.0/
Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
dc.format.none.fl_str_mv application/pdf
657-666
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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