{"id":42414,"date":"1999-01-01T00:00:00","date_gmt":"1999-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/stability-for-differential-algebraic-equations\/"},"modified":"1999-01-01T00:00:00","modified_gmt":"1999-01-01T00:00:00","slug":"stability-for-differential-algebraic-equations","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/stability-for-differential-algebraic-equations\/","title":{"rendered":"Stability for differential algebraic equations."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Berta Garcia Celayeta <\/strong><\/h2>\n<p>En esta memoria se estudia el problema de la estabilidad para ecuaciones diferenciales algebraicas lineales de coeficientes constantes y de coeficientes variables.  se definen los conceptos de seminorma y norma logar\u00edtmica de un haz de matrices que generalizan los ya conocidos para una matriz. Utilizando dicha norma logar\u00edtmica se dan condiciones suficientes para el estudio de la estabilidad.  a continuaci\u00f3n se propone una nueva aproximaci\u00f3n num\u00e9rica de la soluci\u00f3n de una dae aplicando los m\u00e9todos runge-kutta de una manera distinta a la utilizada hasta ahora. Esta nueva aproximaci\u00f3n mantiene las propiedades de estabilidad de la soluci\u00f3n te\u00f3rica y adem\u00e1s proporciona al menos el mismo roden de convergencia que la aproximaci\u00f3n cl\u00e1sica, y para algunos m\u00e9todos se obtiene incluso orden mayor. Adem\u00e1s en los casos en los que el orden se mantiene, los errores son mejores con la nueva aproximaci\u00f3n.  finalmente, en el \u00faltimo cap\u00edtulo se presentan experimentos num\u00e9ricos realizados integrando diversos problemas con las dos aproximaciones, presentando gr\u00e1ficamente los resultados para compararlos.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Stability for differential algebraic equations.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Stability for differential algebraic equations. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Berta Garcia Celayeta <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 P\u00fablica de navarra<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1999<\/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>Mar\u00eda   Inmaculada Higueras Sanz<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: manuel Calvo pinilla <\/li>\n<li>gustaf Soderlind (vocal)<\/li>\n<li>roswitha Marz (vocal)<\/li>\n<li>ander Murua uria (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Berta Garcia Celayeta En esta memoria se estudia el problema de la estabilidad para ecuaciones diferenciales algebraicas [&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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