{"id":76930,"date":"2018-03-09T23:22:24","date_gmt":"2018-03-09T23:22:24","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/aplicacion-del-analisis-intervalar-modal-a-problemas-en-diferencias\/"},"modified":"2018-03-09T23:22:24","modified_gmt":"2018-03-09T23:22:24","slug":"aplicacion-del-analisis-intervalar-modal-a-problemas-en-diferencias","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/aplicacion-del-analisis-intervalar-modal-a-problemas-en-diferencias\/","title":{"rendered":"Aplicacion del analisis intervalar modal a problemas en diferencias"},"content":{"rendered":"<h2>Tesis doctoral de <strong> M. Rosa Estela Carbonell <\/strong><\/h2>\n<p>En esta tesis se presentan aplicaciones del an\u00e1lisis intervalar modal al estudio de problemas diferenciales aplicados b\u00e1sicamente a la resoluci\u00f3n de problemas del \u00e1mbito de la ingenier\u00eda, precedidos de una sucinta revisi\u00f3n de la teor\u00eda b\u00e1sica del sistema de intervalos modales y un estudio exhaustivo de la optimalidad parcial de las funciones racionales, incorporando los conceptos de optimalidad equivalente y optimalidad condicionada, que representan una ampliaci\u00f3n a la teor\u00eda del an\u00e1lisis intervalar modal ya existente.  definiremos los intervalos identific\u00e1ndolos con el conjunto de predicados que aceptan o rechazan predicados sobre la recta real, hecho desde luego, que permite corregir deficiencias estructurales y sem\u00e1nticas del an\u00e1lisis intervalar cl\u00e1sico, pero que sobretodo funda la teor\u00eda intervalar en la funci\u00f3n b\u00e1sica de los intervalos como referencias al sistema de los n\u00fameros reales compatibles con la inevitable necesidad de truncaci\u00f3n que acompa\u00f1a a cualquier valor num\u00e9rico experimental.  revisada la teor\u00eda b\u00e1sica del an\u00e1lisis intervalar modal, nos proponemos aplicarla a la resoluci\u00f3n de problemas del \u00e1mbito de la ingenier\u00eda. As\u00ed, al plantearnos la resoluci\u00f3n de problemas incluso elementales, como el de propagaci\u00f3n del calor en una dimensi\u00f3n, nos encontramos con problemas de planteo en la aplicaci\u00f3n de la teor\u00eda intervalar debido a las restricciones que impone la posibilidad de c\u00e1lculos optimales. Esta situaci\u00f3n lleva al estudio de la optimalidad condicionada que se ha presentado en el tercer cap\u00edtulo de la tesis.  admitiendo restricciones sobre las modalidades de los argumentos de las funciones racionales se obtienen conceptos nuevos como el de modalidad partida o el de optimalidad lateral, que finalmente permiten introducir el concepto de funci\u00f3n racional sint\u00e1cticamente c-conmutativa, que permite obtener un conjunto m\u00e1s amplio de funciones a las que se les puede asociar un c\u00e1lculo opti<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Aplicacion del analisis intervalar modal a problemas en diferencias<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Aplicacion del analisis intervalar modal a problemas en diferencias <\/li>\n<li><strong>Autor:<\/strong>\u00a0 M. Rosa Estela Carbonell <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de catalunya<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 28\/10\/2005<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Ernesto Gardenes Martin<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: manuel Casteleiro maldonado <\/li>\n<li>lambert Jorba jorba (vocal)<\/li>\n<li>peter Hertling (vocal)<\/li>\n<li>Jos\u00e9 Rodellar bened\u00e9 (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de M. Rosa Estela Carbonell En esta tesis se presentan aplicaciones del an\u00e1lisis intervalar modal al estudio de [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[21241,1191,3183,1890,15966,42614,126,15596],"tags":[165847,74011,165848,165846,30291,165849],"class_list":["post-76930","post","type-post","status-publish","format-standard","hentry","category-analisis-de-errores","category-analisis-numerico","category-analisis-y-analisis-funcional","category-ciencia-de-los-ordenadores","category-computacion-digital","category-ecuaciones-en-diferencias","category-matematicas","category-politecnica-de-catalunya","tag-ernesto-gardenes-martin","tag-jose-rodellar-benede","tag-lambert-jorba-jorba","tag-m-rosa-estela-carbonell","tag-manuel-casteleiro-maldonado","tag-peter-hertling"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/76930","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=76930"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/76930\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=76930"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=76930"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=76930"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}