Métodos numéricos para la solución de un problema inverso para un sistema no lineal de ecuaciones en derivadas parciales

  This work is devoted to numerical methods for solution of the inverse coefficient problem for the nonlinear differential equations. Two approaches to solution of this inverse problem are offered. One consists in representation of unknown coefficient by some function depending on a set of...

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1996
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Universidad Industrial de Santander
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Repositorio UIS
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spa
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oai:noesis.uis.edu.co:20.500.14071/7138
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https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/993
https://noesis.uis.edu.co/handle/20.500.14071/7138
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spelling Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)http://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessAtribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)1996-10-102022-03-14T20:23:11Z2022-03-14T20:23:11Zhttps://revistas.uis.edu.co/index.php/revistaintegracion/article/view/993https://noesis.uis.edu.co/handle/20.500.14071/7138  This work is devoted to numerical methods for solution of the inverse coefficient problem for the nonlinear differential equations. Two approaches to solution of this inverse problem are offered. One consists in representation of unknown coefficient by some function depending on a set of unknown numerical parameters. Then the inverse problem is solved by gradient minimization methods of residual function using additional condition. The other consist in construction of iterative process basing on integral formula, obtanied from additional condition. A priori representation of unknown coefficient in a parametrical form in not required in this case. The efficiency of the suggested methods are demostrated by a number of numerical experiments.  application/pdfapplication/pdfspaUniversidad Industrial de Santanderhttps://revistas.uis.edu.co/index.php/revistaintegracion/article/view/993/1357https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/993/1358Revista integración, temas de matemáticas; Vol. 14 Núm. 2 (1996): Revista Integración, temas de matemáticas; 85-97REVISTA INTEGRACIÓN; v. 14 n. 2 (1996): Revista Integración, temas de matemáticas; 85-972145-84720120-419XMétodos numéricos para la solución de un problema inverso para un sistema no lineal de ecuaciones en derivadas parcialesinfo:eu-repo/semantics/articlehttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1Lamos, Henry20.500.14071/7138oai:noesis.uis.edu.co:20.500.14071/71382022-03-16 12:39:55.44metadata.onlyhttps://noesis.uis.edu.coDSpace at UISnoesis@uis.edu.co
dc.title.es-ES.fl_str_mv Métodos numéricos para la solución de un problema inverso para un sistema no lineal de ecuaciones en derivadas parciales
title Métodos numéricos para la solución de un problema inverso para un sistema no lineal de ecuaciones en derivadas parciales
spellingShingle Métodos numéricos para la solución de un problema inverso para un sistema no lineal de ecuaciones en derivadas parciales
title_short Métodos numéricos para la solución de un problema inverso para un sistema no lineal de ecuaciones en derivadas parciales
title_full Métodos numéricos para la solución de un problema inverso para un sistema no lineal de ecuaciones en derivadas parciales
title_fullStr Métodos numéricos para la solución de un problema inverso para un sistema no lineal de ecuaciones en derivadas parciales
title_full_unstemmed Métodos numéricos para la solución de un problema inverso para un sistema no lineal de ecuaciones en derivadas parciales
title_sort Métodos numéricos para la solución de un problema inverso para un sistema no lineal de ecuaciones en derivadas parciales
description   This work is devoted to numerical methods for solution of the inverse coefficient problem for the nonlinear differential equations. Two approaches to solution of this inverse problem are offered. One consists in representation of unknown coefficient by some function depending on a set of unknown numerical parameters. Then the inverse problem is solved by gradient minimization methods of residual function using additional condition. The other consist in construction of iterative process basing on integral formula, obtanied from additional condition. A priori representation of unknown coefficient in a parametrical form in not required in this case. The efficiency of the suggested methods are demostrated by a number of numerical experiments.  
publishDate 1996
dc.date.accessioned.none.fl_str_mv 2022-03-14T20:23:11Z
dc.date.available.none.fl_str_mv 2022-03-14T20:23:11Z
dc.date.none.fl_str_mv 1996-10-10
dc.type.none.fl_str_mv info:eu-repo/semantics/article
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.identifier.none.fl_str_mv https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/993
dc.identifier.uri.none.fl_str_mv https://noesis.uis.edu.co/handle/20.500.14071/7138
url https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/993
https://noesis.uis.edu.co/handle/20.500.14071/7138
dc.language.none.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/993/1357
https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/993/1358
dc.rights.license.none.fl_str_mv Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
dc.rights.coar.none.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.accessrights.none.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.creativecommons.none.fl_str_mv Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)
rights_invalid_str_mv Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
http://purl.org/coar/access_right/c_abf2
Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.es-ES.fl_str_mv Universidad Industrial de Santander
dc.source.es-ES.fl_str_mv Revista integración, temas de matemáticas; Vol. 14 Núm. 2 (1996): Revista Integración, temas de matemáticas; 85-97
dc.source.pt-BR.fl_str_mv REVISTA INTEGRACIÓN; v. 14 n. 2 (1996): Revista Integración, temas de matemáticas; 85-97
dc.source.none.fl_str_mv 2145-8472
0120-419X
institution Universidad Industrial de Santander
repository.name.fl_str_mv DSpace at UIS
repository.mail.fl_str_mv noesis@uis.edu.co
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