{"id":17559,"date":"2018-03-09T09:05:41","date_gmt":"2018-03-09T09:05:41","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/soluciones-numericas-estables-de-sistemas-acoplados-mixtos-de-ecuaciones-en-derivadas-parciales\/"},"modified":"2018-03-09T09:05:41","modified_gmt":"2018-03-09T09:05:41","slug":"soluciones-numericas-estables-de-sistemas-acoplados-mixtos-de-ecuaciones-en-derivadas-parciales","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/soluciones-numericas-estables-de-sistemas-acoplados-mixtos-de-ecuaciones-en-derivadas-parciales\/","title":{"rendered":"Soluciones num\u00e9ricas estables de sistemas acoplados mixtos de ecuaciones en derivadas parciales"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Casab\u00e1n Bartual M. Consuelo <\/strong><\/h2>\n<p>Esta memoria trata sobre la construcci\u00f3n de soluciones num\u00e9ricas estables de sistemas parab\u00f3licos e hiperb\u00f3licos acoplados. Las etapas caracter\u00edsticas de esta memoria son: la construcci\u00f3n de soluciones discretas utilizando diferencias finitas y una t\u00e9cnica de separaci\u00f3n de variables discreta, el estudio de la estabilidad y la consistencia de la soluci\u00f3n calculada, y el empleo de un m\u00e9todo de proyecciones para extender los resultados obtenidos a una clase m\u00e1s general de funciones de valores iniciales.  mediante la aplicaci\u00f3n de un m\u00e9todo de separaci\u00f3n de variables discreto, la soluci\u00f3n num\u00e9rica propuesta a los problemas, es la soluci\u00f3n exacta de un sistema en diferencias acoplado, que se obtiene de la discretizaci\u00f3n en diferencias finitas del sistema acoplado en derivadas parciales continuo.  las condiciones de contorno de los problemas aqu\u00ed tratados son acoplados y de tipo no-dirichlet.  nuestro enfoque metodol\u00f3gico es alternativo frente al tratamiento algebraico m\u00e1s tradicional que escribe el esquema matricialmente, y ofrece la ventaja de no tener que resolver los sistemas algebraicos de gran tama\u00f1o con bloques matriciales que aparecen en el m\u00e9todo de diferencias finitas est\u00e1ndar, gracias al empleo de un m\u00e9todo de separaci\u00f3n de variables discreto.  los problemas tratados modelizan, entre otros, problemas de difusi\u00f3n, conducci\u00f3n nerviosa y problemas del armamento (cap\u00edtulo 2), calentamiento por microondas, \u00f3ptica, cardiolog\u00eda y flujos del suelo (cap\u00edtulo 3).<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Soluciones num\u00e9ricas estables de sistemas acoplados mixtos de ecuaciones en derivadas parciales<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Soluciones num\u00e9ricas estables de sistemas acoplados mixtos de ecuaciones en derivadas parciales <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Casab\u00e1n Bartual M. Consuelo <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de Valencia<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 18\/06\/2002<\/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> J\u00f3dar S\u00e1nchez Lucas Antonio<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: enrique Navarro torres <\/li>\n<li>rosa Donat beneito (vocal)<\/li>\n<li>benito Chen charpentier (vocal)<\/li>\n<li> Mart\u00edn alustiza Jos\u00e9 Antonio (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Casab\u00e1n Bartual M. Consuelo Esta memoria trata sobre la construcci\u00f3n de soluciones num\u00e9ricas estables de sistemas parab\u00f3licos [&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":[3183,32592,3185,126,16820],"tags":[54910,54908,17016,54909,46205,31275],"class_list":["post-17559","post","type-post","status-publish","format-standard","hentry","category-analisis-y-analisis-funcional","category-convexidad-y-desigualdades","category-ecuaciones-diferenciales-en-derivadas-parciales","category-matematicas","category-politecnica-de-valencia","tag-benito-chen-charpentier","tag-casaban-bartual-m-consuelo","tag-enrique-navarro-torres","tag-jodar-sanchez-lucas-antonio","tag-martin-alustiza-jose-antonio","tag-rosa-donat-beneito"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/17559","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=17559"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/17559\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=17559"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=17559"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=17559"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}