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.
Fil: Pintarelli, María Beatriz. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Vericat, Fernando. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina
Materia
Partial differential equations
Fredholm integral equations
Generalized moment problem
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/33885
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/33885
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Partial Differential Equations as Three-Dimensional Inverse Problem of MomentsPintarelli, María BeatrizVericat, FernandoPartial differential equationsFredholm integral equationsGeneralized moment problemhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We 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.Fil: Pintarelli, María Beatriz. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Vericat, Fernando. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; ArgentinaDavid Publishing2014-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/33885Pintarelli, María Beatriz; Vericat, Fernando; Partial Differential Equations as Three-Dimensional Inverse Problem of Moments; David Publishing; Journal of Mathematics and System Science; 2014; 4; 10-2014; 657-6662159-5291CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.davidpublisher.org/index.php/Home/Article/index?id=484.htmlinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:07:47Zoai:ri.conicet.gov.ar:11336/33885instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-10 13:07:47.559CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
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
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 Partial differential equations
Fredholm integral equations
Generalized moment problem
topic Partial differential equations
Fredholm integral equations
Generalized moment problem
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
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= (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.
Fil: Pintarelli, María Beatriz. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Vericat, Fernando. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina
description 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.
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
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://hdl.handle.net/11336/33885
Pintarelli, María Beatriz; Vericat, Fernando; Partial Differential Equations as Three-Dimensional Inverse Problem of Moments; David Publishing; Journal of Mathematics and System Science; 2014; 4; 10-2014; 657-666
2159-5291
CONICET Digital
CONICET
url http://hdl.handle.net/11336/33885
identifier_str_mv Pintarelli, María Beatriz; Vericat, Fernando; Partial Differential Equations as Three-Dimensional Inverse Problem of Moments; David Publishing; Journal of Mathematics and System Science; 2014; 4; 10-2014; 657-666
2159-5291
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.davidpublisher.org/index.php/Home/Article/index?id=484.html
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv David Publishing
publisher.none.fl_str_mv David Publishing
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.993085

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