{"id":78574,"date":"2006-07-02T00:00:00","date_gmt":"2006-07-02T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/metodos-exponential-fitting-y-adaptados-para-problemas-stiff\/"},"modified":"2006-07-02T00:00:00","modified_gmt":"2006-07-02T00:00:00","slug":"metodos-exponential-fitting-y-adaptados-para-problemas-stiff","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/ecuaciones-diferenciales-ordinarias\/metodos-exponential-fitting-y-adaptados-para-problemas-stiff\/","title":{"rendered":"M\u00e9todos exponential fitting y adaptados para problemas stiff"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Jes\u00fas Mart\u00edn Vaquero <\/strong><\/h2>\n<p>En esta tesis se presenta varias familias de m\u00e9todos innovadores con interesantes propiedades que integran con buenos resultados una clase muy abundante de ecuaciones diferenciales ordinarias como son los problemas stiff. frente a estos problemas tradicionalmente se han utilizado m\u00e9todos en diferencias regresivas (m\u00e9todos bdg, del ingl\u00e9s), aqu\u00ed se han adaptado estos m\u00e9todos cl\u00e1sicos a dichos problemas construyendo algoritmos exponential fitting de tipo bdf y posteriormente tambi\u00e9n de tipo runge-kutta, esto no s\u00f3lo se consigue con algoritmos impl\u00edcitos (m\u00e1s costosos), sino que incluso se construye alguno expl\u00edcito con buenas propiedades y resultados, lo cual no es muy frecuente con este tipo de ecuaciones. estos nuevos m\u00e9todos se han comparado con otros ya ampliamente contrastados logrando resultados muy buenos frente a una amplia cantidad de problemas. tambi\u00e9n se ha hecho un estudio detallado de la estabilidad de los mismos, que es algo muy escaso, por no decir inexistente, en la literatura cient\u00edfica, a pesar de que este estudio es muy importante para comprender los resultados que se van a obtener. por \u00faltimo, aunque no menos importante, tambi\u00e9n se presentan varios procedimientos novedosos para obtener par\u00e1metros \u00f3ptimos para estos m\u00e9todos exponential fitting o adaptados, los cual como refleja la tesis, ni es un tema sencillo, ni es banal, ya que es la base para que los m\u00e9todos puedan obtener buenos resultados y propiedades de estabilidad.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>M\u00e9todos exponential fitting y adaptados para problemas stiff<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 M\u00e9todos exponential fitting y adaptados para problemas stiff <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Jes\u00fas Mart\u00edn Vaquero <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Rey juan carlos<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 07\/02\/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>Jes\u00fas Vigo Aguiar<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Jos\u00e9 manuel Ferrandiz leal <\/li>\n<li>higinio Ramos calle (vocal)<\/li>\n<li>alan Wade bruce (vocal)<\/li>\n<li> Su\u00e1rez rodr\u00edguez pedro Mar\u00eda (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Jes\u00fas Mart\u00edn Vaquero En esta tesis se presenta varias familias de m\u00e9todos innovadores con interesantes propiedades que [&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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