{"id":35858,"date":"1998-01-01T00:00:00","date_gmt":"1998-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/propagacion-del-error-en-la-integracion-numerica-de-la-ecuacion-no-lineal-de-schroedinger\/"},"modified":"1998-01-01T00:00:00","modified_gmt":"1998-01-01T00:00:00","slug":"propagacion-del-error-en-la-integracion-numerica-de-la-ecuacion-no-lineal-de-schroedinger","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/propagacion-del-error-en-la-integracion-numerica-de-la-ecuacion-no-lineal-de-schroedinger\/","title":{"rendered":"Propagacion del error en la integracion numerica de la ecuacion no lineal de schroedinger."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Angel Duran Martin <\/strong><\/h2>\n<p>Varios resultados recientes han puesto de evidencia la influencia de las propiedades de conservaci\u00f3n en la integracion num\u00e9rica de sistemas de ecuaciones diferenciales. En nuestro trabajo, tratamos esta cuesti\u00f3n para el caso de la integraci\u00f3n de solitones para ecuaciones no lineales de schroedinger. Primeramente, analizamos la estructura hamilteniana de tales ecuaciones y determinamos las ondas solitarias como equilibrios relativos del sistema reducido bajo la acci\u00f3n del grupo de simetr\u00edas generado por dos cantidades invariantes de la ecuaci\u00f3n original. Por otra parte, mostramos c\u00f3mo m\u00e9todos num\u00e9ricos que aproximan a estas ondas solitarias y que conservan a su vez tales invariantes muestran una mejor propagaci\u00f3n del error a lo largo del tiempo que esquemas num\u00e9ricos no conservativos. Ilustramos estos resultados con diversos ejemplos.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Propagacion del error en la integracion numerica de la ecuacion no lineal de schroedinger.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Propagacion del error en la integracion numerica de la ecuacion no lineal de schroedinger. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Angel Duran Martin <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Valladolid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1998<\/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>Jes\u00fas Sanz Serna<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Bermudez De Castro Varela Alfredo <\/li>\n<li>Rodolfo Bermejo Bermejo (vocal)<\/li>\n<li>Alberto Ibort Latre (vocal)<\/li>\n<li>Rafael Obaya Garcia (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Angel Duran Martin Varios resultados recientes han puesto de evidencia la influencia de las propiedades de conservaci\u00f3n [&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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