{"id":60877,"date":"2018-03-09T22:48:44","date_gmt":"2018-03-09T22:48:44","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/numerical-and-analytical-mean-square-solutions-for-random-differential-models\/"},"modified":"2018-03-09T22:48:44","modified_gmt":"2018-03-09T22:48:44","slug":"numerical-and-analytical-mean-square-solutions-for-random-differential-models","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/procesos-estocasticos\/numerical-and-analytical-mean-square-solutions-for-random-differential-models\/","title":{"rendered":"Numerical and analytical mean square solutions for random differential models"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Laura Villafuerte Altuzar <\/strong><\/h2>\n<p>Esta memoria se centra en la construcci\u00f3n de soluciones anal\u00edticas y num\u00e9ricas para ecuaciones diferenciales aleatorias y en el c\u00e1lculo de las principales propiedades estad\u00edsticas de las soluciones, tales como las funciones varianza y esperanza. El enfoque de las aproximaciones est\u00e1 basado en el c\u00e1lculo en  media cuadr\u00e1tica.  se comienza con t\u00e9cnicas para construir soluciones anal\u00edticas de algunas clases de  ecuaciones diferenciales aleatorias  lineales y cuadr\u00e1ticas. Para aproximar las ecuaciones diferenciales aleatorias se presentan m\u00e9todos num\u00e9ricos desde el m\u00e1s simple que es el m\u00e9todo de euler hasta los m\u00e9todos multipasos, adem\u00e1s se establecen condiciones suficientes para la convergencia en media cuadr\u00e1tica de dichos m\u00e9todos as\u00ed como tambi\u00e9n su orden de convergencia.  finalmente, se  construyen m\u00e9todos num\u00e9ricos para  modelos aleatorios de difusi\u00f3n, donde la aleatoriedad entra en la ecuaci\u00f3n a trav\u00e9s del coeficiente de difusi\u00f3n, termino fuente y las condiciones iniciales. Para estos modelos se estudia la estabilidad y consistencia de las soluciones num\u00e9ricas.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Numerical and analytical mean square solutions for random differential models<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Numerical and analytical mean square solutions for random differential models <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Laura Villafuerte Altuzar <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de Valencia<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 16\/10\/2007<\/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: Juan  ram\u00f3n Torregrosa s\u00e1nchez <\/li>\n<li> Dos santos braumann Carlos Alberto (vocal)<\/li>\n<li> Chen charpentier benito Miguel (vocal)<\/li>\n<li>Rafael jacinto Villanueva mic\u00f3 (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Laura Villafuerte Altuzar Esta memoria se centra en la construcci\u00f3n de soluciones anal\u00edticas y num\u00e9ricas para ecuaciones [&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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