{"id":89755,"date":"2001-06-04T00:00:00","date_gmt":"2001-06-04T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/condiciones-de-frontera-transparentes-y-absorbentes-para-ecuaciones-de-tipo-schrodinger\/"},"modified":"2001-06-04T00:00:00","modified_gmt":"2001-06-04T00:00:00","slug":"condiciones-de-frontera-transparentes-y-absorbentes-para-ecuaciones-de-tipo-schrodinger","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/condiciones-de-frontera-transparentes-y-absorbentes-para-ecuaciones-de-tipo-schrodinger\/","title":{"rendered":"Condiciones de frontera transparentes y absorbentes para ecuaciones de tipo schrodinger"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Nuria Reguera Lopez <\/strong><\/h2>\n<p>En esta tesis se estudian condiciones de frontera absorbentes y transparantes (cfa y cft) para la ecuaci\u00f3n lineal de schoroedinger, de conocida importancia pr\u00e1ctica. La primera contribuci\u00f3n es la obtenci\u00f3n, de forma rigurosa, de condiciones que garantizan que las soluciones de una ecuaci\u00f3n de schr\u00ed\u00b6dinger est\u00e1n en l2(0,+    ) de la variable temporal para cada valor fijo de la variable espacial. Un resultado an\u00e1logo se prueba para un discretizaci\u00f3n de ella mediante diferencias finitas centrales. Estos resultados permiten utilizar la transformada de fourier en tiempo de la soluci\u00f3n para obtener cfa con t\u00e9cnicas usuales para otras ecuaciones. En el primer caso, las cfa obtenidas son una generalizaci\u00f3n de las cfa de fevens y jiang. El tema principal abordado seguidamente es el estudio car\u00e1cter de bien puesto de los problemas obtenidos tras imponer las cfa e incorporar las discretizaciones espaciales. Se prueba que estos problemas est\u00e1n debilmente mal puestos, lo cual puede causar problemas si la cfa no es bien elegida. Tambi\u00e9n se estudia la discretizaci\u00f3n temporal mediante el uso de m\u00e9todos runge kutta a-estables. Finalmente es de notar que, para el caso de cfa para el problema semidiscreto en espacio, se obtiene una expresi\u00f3n completa del error cometido con un m\u00e9todo completamente discreto con cfa.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Condiciones de frontera transparentes y absorbentes para ecuaciones de tipo schrodinger<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Condiciones de frontera transparentes y absorbentes para ecuaciones de tipo schrodinger <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Nuria Reguera Lopez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Valladolid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 06\/04\/2001<\/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>Isaias Alonso Mallo<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Jes\u00fas Mar\u00eda Sanz serna <\/li>\n<li>enrique Fernandez cara (vocal)<\/li>\n<li>octavio Roncero villa (vocal)<\/li>\n<li>Francisco Javier Lisbona cort\u00e9s (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Nuria Reguera Lopez En esta tesis se estudian condiciones de frontera absorbentes y transparantes (cfa y cft) [&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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