{"id":79264,"date":"2018-03-09T23:25:06","date_gmt":"2018-03-09T23:25:06","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/aplicacion-del-metodo-de-descomposicion-a-sistemas-stiff-de-ecuaciones-diferenciales-ordinarias\/"},"modified":"2018-03-09T23:25:06","modified_gmt":"2018-03-09T23:25:06","slug":"aplicacion-del-metodo-de-descomposicion-a-sistemas-stiff-de-ecuaciones-diferenciales-ordinarias","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/aplicacion-del-metodo-de-descomposicion-a-sistemas-stiff-de-ecuaciones-diferenciales-ordinarias\/","title":{"rendered":"Aplicacion del metodo de descomposicion a sistemas stiff de ecuaciones diferenciales ordinarias"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Afrah Saad Mahmoud <\/strong><\/h2>\n<p>El presente trabajo viene motivado por el desarrollo experimentado, en las dos \u00faltimas d\u00e9cadas, de los m\u00e9todos llamados de descomposici\u00f3n, originados en varias publicaciones de g. Adomian y que han sido utilizados en problemas complicados: ecuaciones diferenciales no lineales, ecuaciones integro-diferenciales, sistemas de ecuaciones algebraicas no lineales, ecuaciones estoc\u00e1sticas, etc.  el objetivo de este trabajo es introducir las t\u00e9cnicas apropiadas para implementar el m\u00e9todo con subintervalos a problemas de valor inicial de edo.  determinamos la validez del m\u00e9todo utilizando el teorema del punto fijo en los siguientes tipos de problemas:  sistemas lineales (cap\u00edtulo ii).  sistemas no lineales (cap\u00edtulo iii).  sistemas no lineales stiff y singularmente perturbados (cap\u00edtulo iv).  sistemas con soluciones oscilatorias (cap\u00edtulo v).  puntos de retroceso (cap\u00edtulo vi).  problemas con discontinuidades (cap\u00edtulo vii).  comparamos el m\u00e9todo con las t\u00e9cnicas standard de perturbaci\u00f3n y de diferencias finitas y analizamos la mejor elecci\u00f3n del operador y el rango de subintervalos para el cual el m\u00e9todo es convergente.  en cada uno de los cap\u00edtulos se presta atenci\u00f3n particular a los problemas singularmente perturbados. Los problemas que hemos considerado m\u00e1s interesantes en la bibliograf\u00eda han sido utilizados para este fin.  nuestros resultados se dan en t\u00e9rminos del orden estimado de convergencia (local y global), errores residuales relativos y normas de los t\u00e9rminos yk (t) de los aproximantes    i;n (t) = yi;0 (t) + ::: + yi;n (t).  entre los resultados originales figuran la aplicaci\u00f3n del m\u00e9todo a problemas con discontinuidades, con soluciones oscilatorias, con puntos de retroceso y de orden mayor que dos.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Aplicacion del metodo de descomposicion a sistemas stiff de ecuaciones diferenciales ordinarias<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Aplicacion del metodo de descomposicion a sistemas stiff de ecuaciones diferenciales ordinarias <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Afrah Saad Mahmoud <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 27\/03\/2006<\/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>Luis Casas\u00fas Latorre<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Gonzalez montiel Jos\u00e9 gaspar <\/li>\n<li>ramon Alonso sanz (vocal)<\/li>\n<li>purificacion Gonzalez sancho (vocal)<\/li>\n<li> Sierra carrizo Jos\u00e9 Mar\u00eda (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Afrah Saad Mahmoud El presente trabajo viene motivado por el desarrollo experimentado, en las dos \u00faltimas d\u00e9cadas, [&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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