{"id":64971,"date":"2008-05-06T00:00:00","date_gmt":"2008-05-06T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/soluciones-anala%c2%adtico-numericas-de-ecuaciones-en-derivadas-parciales-con-retardo\/"},"modified":"2008-05-06T00:00:00","modified_gmt":"2008-05-06T00:00:00","slug":"soluciones-anala%c2%adtico-numericas-de-ecuaciones-en-derivadas-parciales-con-retardo","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/resolucion-de-ecuaciones-diferenciales-en-derivadas-parciales\/soluciones-anala%c2%adtico-numericas-de-ecuaciones-en-derivadas-parciales-con-retardo\/","title":{"rendered":"Soluciones anal\u00edtico-num\u00e9ricas de ecuaciones en derivadas parciales con retardo"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Elia Reyes Salguero <\/strong><\/h2>\n<p>El objetivo de esta tesis es la obtenci\u00f3n de soluciones exactas y anal\u00edtico-num\u00e9ricas de problemas mixtos para ciertos tipos de ecuaciones y sistemas de ecuaciones en derivadas parciales con retardo. En concreto, se consideran problemas mixtos, con condici\u00f3n inicial y condiciones frontera de tipo dirichle para la ecuaci\u00f3n generalizada de difusi\u00f3n con retardo y se aborda la obtenci\u00f3n de soluciones exactas en forma de serie infinita, mediante la aplicaci\u00f3n del m\u00e9todo de separaci\u00f3n de variables, y de aproximaciones num\u00e9ricas continuas truncando la serie soluci\u00f3n, acot\u00e1ndose los restos de la serie y permitiendo ello la construcci\u00f3n de soluciones num\u00e9ricas con cotas de error prefijados en dominios acotados. Con el fin de mejorar la eficiencia computacional de estas soluciones num\u00e9ricas, se consideran tambi\u00e9n aproximaciones polin\u00f3micas de la funci\u00f3n inicial, lo que permite calcular de forma exacta algunos t\u00e9rminos serie soluci\u00f3n y obtener acotaciones del error de truncamiento de modo que, en dominios adecuados, se tenga un decaimiento de tipo exponencial de d&#8230; Error en funci\u00f3n del n\u00famero en t\u00e9rminos de la serie truncada. Se aborda asimismo la obtenci\u00f3n de soluciones exactas y la construcci\u00f3n de aproximaciones num\u00e9ricas para sistemas acoplados de ecuaciones generalizadas de difusi\u00f3n con retardo, es decir, para ecuaciones vectoriales con coeficientes matrici&#8230;. No necesariamente simult\u00e1neamente diagonalizables.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Soluciones anal\u00edtico-num\u00e9ricas de ecuaciones en derivadas parciales con retardo<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Soluciones anal\u00edtico-num\u00e9ricas de ecuaciones en derivadas parciales con retardo <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Elia Reyes Salguero <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Alicante<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 05\/06\/2008<\/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>Jos\u00e9 Antonio Mart\u00edn Alustiza<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: lucas Antonio J\u00f3dar s\u00e1nchez <\/li>\n<li>Miguel Lloret climent (vocal)<\/li>\n<li>enrique Navarro torres (vocal)<\/li>\n<li>Mar\u00eda vicenta Ferrer gonz\u00e1lez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Elia Reyes Salguero El objetivo de esta tesis es la obtenci\u00f3n de soluciones exactas y anal\u00edtico-num\u00e9ricas 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 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