{"id":18595,"date":"2018-03-09T09:07:11","date_gmt":"2018-03-09T09:07:11","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/metodos-grk-para-ecuaciones-diferenciales-ordinarias\/"},"modified":"2018-03-09T09:07:11","modified_gmt":"2018-03-09T09:07:11","slug":"metodos-grk-para-ecuaciones-diferenciales-ordinarias","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/metodos-grk-para-ecuaciones-diferenciales-ordinarias\/","title":{"rendered":"M\u00e9todos grk para ecuaciones diferenciales ordinarias"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Jorge \u00e1lvarez L\u00f3pez <\/strong><\/h2>\n<p>Se presenta una nueva familia de m\u00e9todos expl\u00edcitos para problemas de valores iniciales formulados en t\u00e9rminos de edos de primer y segundo orden. los m\u00e9todos pueden ser vistos como una generalizaci\u00f3n de los conocidos m\u00e9todos runge-kutta (en el caso de primer orden) y runge-kutta-nysti\u00f3n (para segundo orden). Se muestra que es posible obtener m\u00e9todos de 2 etapas y orden 3 y f\u00f3rmulas de 3 etapas y orden 5 (4 en el caso de sistemas) para edos de primer orden y con bunas propiedades de estabilidad lineal (a y l-estabilidad). Para edos de segundo orden, se obtienen f\u00f3rmulas de orden 4 y 2 etapas, alguna de las cuales integra exactamente osciladores. Algunos de los m\u00e9todos considerados son \u00f3ptimos con respecto al error bocal de &#8211;. En el caso de edos de primer orden se muestra como es posible obtener m\u00e9todos de la familia considerada a partir de funciones de estabilidad lineal prefijado. Finalmente, diversos experimentos num\u00e9ricos ilustran el comportamiento de los m\u00e9todos propuestos y los comparan con otros ya existentes.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>M\u00e9todos grk para ecuaciones diferenciales ordinarias<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 M\u00e9todos grk para ecuaciones diferenciales ordinarias <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Jorge \u00e1lvarez L\u00f3pez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Valladolid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 19\/07\/2002<\/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 Rojo Garc\u00eda<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: manuel Calvo pinilla <\/li>\n<li>Jes\u00fas Vigo aguiar (vocal)<\/li>\n<li>Jos\u00e9 Manuel Ferrandiz leal (vocal)<\/li>\n<li>peregrina Quintela estevez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Jorge \u00e1lvarez L\u00f3pez Se presenta una nueva familia de m\u00e9todos expl\u00edcitos para problemas de valores iniciales formulados [&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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