{"id":23566,"date":"2018-03-09T09:14:11","date_gmt":"2018-03-09T09:14:11","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/algoritmos-para-la-integracion-de-problemas-oscilatorios-en-varias-frecuencias\/"},"modified":"2018-03-09T09:14:11","modified_gmt":"2018-03-09T09:14:11","slug":"algoritmos-para-la-integracion-de-problemas-oscilatorios-en-varias-frecuencias","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/algoritmos-para-la-integracion-de-problemas-oscilatorios-en-varias-frecuencias\/","title":{"rendered":"Algoritmos para la integraci\u00f3n de problemas oscilatorios en varias frecuencias"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Garc\u00eda Alonso Fernando Luis <\/strong><\/h2>\n<p>* en esta tesis, se introduce una sucesi\u00f3n de funciones anal\u00edticas y dependientes de dos par\u00e1metros l y beta que generalizaban a las funciones g de scheifele y que en hip\u00f3tesis muy amplias permiten desarrollar en series de y-funciones la soluci\u00f3n de ecuaciones diferenciales con la forma de osciladores arm\u00f3nicos perturbados de frecuencia l.  * se desarrolla un m\u00e9todo de integraci\u00f3n num\u00e9rica basado en las series de y-funciones que generaliza el m\u00e9todo original de scheifele, permitiendo integrar exactamente ecuaciones cuyas soluciones sean oscilaciones en dos frecuencias l y beta, distintas o confundidas; apareciendo en problemas perturbados, el par\u00e1metro de perturbaci\u00f3n e, como factor en el error de truncaci\u00f3n local.  * se presentan ejemplos que ilustran el buen comportamiento del m\u00e9todo de series de y-funciones y las ventajas que puede aportar con respecto al m\u00e9todo de g-funciones en problemas en que es posible integrar exactamente la parte de la soluci\u00f3n de primer orden con respecto a la perturbaci\u00f3n.  * a partir de los desarrollos en series de y-funciones, se introducen m\u00e9todos multipaso expl\u00edcitos e impl\u00edcitos que generalizan los smf, est\u00e1n definidos para orden arbitrario y poseen propiedades semejantes a los m\u00e9todos anteriores.  * se definen m\u00e9todos modificados para paso variable cuyos coeficientes se calculan a partir de relaciones de recurrencia, lo que mejora la implementaci\u00f3n de los algoritmos.  * se presentan ejemplos num\u00e9ricos, ya utilizados por otros autores, que muestran que los m\u00e9todos desarrollados en esta tesis pueden competir o aventajar en precisi\u00f3n o eficiencia a otros algoritmos merecidamente afamados.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Algoritmos para la integraci\u00f3n de problemas oscilatorios en varias frecuencias<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Algoritmos para la integraci\u00f3n de problemas oscilatorios en varias frecuencias <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Garc\u00eda Alonso Fernando Luis <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Alicante<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 16\/06\/2003<\/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>Jos\u00e9 Manuel Ferrandiz Leal<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Antonio Vigueras campuzano <\/li>\n<li>toshio Fukushima (vocal)<\/li>\n<li>guido Vanden berghe (vocal)<\/li>\n<li>Luis Gavete corvinos (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Garc\u00eda Alonso Fernando Luis * en esta tesis, se introduce una sucesi\u00f3n de funciones anal\u00edticas y dependientes [&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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