{"id":84921,"date":"2000-09-06T00:00:00","date_gmt":"2000-09-06T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/integracion-de-problemas-stiff-a-traves-de-metodos-runge-kutta\/"},"modified":"2000-09-06T00:00:00","modified_gmt":"2000-09-06T00:00:00","slug":"integracion-de-problemas-stiff-a-traves-de-metodos-runge-kutta","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/integracion-de-problemas-stiff-a-traves-de-metodos-runge-kutta\/","title":{"rendered":"Integracion de problemas stiff  a traves de m\u00e9todos runge-kutta"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Mar\u00eda Soledad P\u00e9rez Rodr\u00edguez <\/strong><\/h2>\n<p>Evidentemente, la eficiencia de estos m\u00e9todos depender\u00e1 fundamentalmente de c\u00f3mo resolvamos este sistema impl\u00edcito de las etapas.  este problema cl\u00e1sicamente se ha resuelto con esquemas iterativos de tipo newton, sobre todo el conocido esquema newton simplificado. Su principal inconveniente es el alto coste computacional que requieren cuando se implementan m\u00e9todos runge-kutta impl\u00edcitos de alto orden.  por ello, en la primera parte de esta memoria proponemos unos nuevos esquemas iterativos, llamados esquemas single-newton. Estos esqumas iteratiavos requieren un coste computacional signficativamente menor que el newton simplificado. Adem\u00e1s, demostramos que en la pr\u00e1ctica suelen ser m\u00e1s eficientes que el newton simplificado, sobre todo cuando integramos problemas stiff de dimensi\u00f3n media y alta.  por otro lado, en la segunda parte del trabajo proponemos buenas aproximaciones iniciales o inicializadores para arrancar los procesos interatiavos anteriores, mejorando as\u00ed su velocidad de convergencia. Por una parte, presentamos inicializadores que no suponen ning\u00fan coste computacional adicional y luego intentamos mejorar sus propiedades de estabilidad proponiendo una nueva clase inicializadores estabilizados.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Integracion de problemas stiff  a traves de m\u00e9todos runge-kutta<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Integracion de problemas stiff  a traves de m\u00e9todos runge-kutta <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Mar\u00eda Soledad P\u00e9rez Rodr\u00edguez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 La laguna<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 09\/06\/2000<\/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>Severiano Gonz\u00e1lez Pinto<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: manuel Calvo pinilla <\/li>\n<li>nico Spijker marc (vocal)<\/li>\n<li>concepcion Gonz\u00e1lez concepcion (vocal)<\/li>\n<li>Mar\u00eda   inmaculada Higueras sanz (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Mar\u00eda Soledad P\u00e9rez Rodr\u00edguez Evidentemente, la eficiencia de estos m\u00e9todos depender\u00e1 fundamentalmente de c\u00f3mo resolvamos este sistema [&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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