{"id":80270,"date":"2018-03-10T00:03:59","date_gmt":"2018-03-10T00:03:59","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/esquemas-de-orden-alto-sobre-mallas-de-shishkin-para-problemas-de-perturbacion-singular\/"},"modified":"2018-03-10T00:03:59","modified_gmt":"2018-03-10T00:03:59","slug":"esquemas-de-orden-alto-sobre-mallas-de-shishkin-para-problemas-de-perturbacion-singular","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/esquemas-de-orden-alto-sobre-mallas-de-shishkin-para-problemas-de-perturbacion-singular\/","title":{"rendered":"Esquemas de orden alto sobre mallas de shishkin para problemas de perturbacion singular."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Gracia Lozano Jos\u00e9 Luis <\/strong><\/h2>\n<p>Problemas de perturbaci\u00f3n singular aparecen en numerosos campos de la matem\u00e1tica aplicada. Particularmente, la mec\u00e1nica de fluidos, la din\u00e1mica de gases, la teor\u00eda de la elasticidad en el estudio de pandeo de placas o la teor\u00eda de semiconductores, son ejemplos que conducen a ecuaciones diferenciales en las que, tras un proceso de adimensionalizaci\u00f3n, se revela la existencia de un peque\u00f1o par\u00e1metro que afecta a los t\u00e9rminos de mayor orden y que de forma general se llama par\u00e1metro de perturbaci\u00f3n.  en los \u00faltimos diez a\u00f1os, el foco de atenci\u00f3n m\u00e1s importante en el campo de la integraci\u00f3n num\u00e9rica de problemas de perturbaci\u00f3n singular ha sido el desarrollo de m\u00e9todos sobre mallas especiales para obtener resultados de convergencia uniforme. En esta direcci\u00f3n han cobrado especial importancia un tipo de mallas uniformes a trozos introducidas por g.I. Shishkin.  en esta memoria se han construido m\u00e9todos en diferencias sobre mallas de shishkin uniformemente convergentes de orden alto, tanto para problemas de convecci\u00f3n-difusi\u00f3n como de reacci\u00f3n- difusi\u00f3n 1d. En la obtenci\u00f3n de estos m\u00e9todos se han utilizado dos t\u00e9cnicas diferentes. Una de ellas trabaja en la l\u00ednea de lynch y rice (m\u00e9todos hodie) y en la otra se modifica un esquema incorpor\u00e1ndole ciertas aproximaciones de su t\u00e9rmino principal del error local para aumentar su orden de convergencia (m\u00e9todos hoc).  la segunda t\u00e9cnica tambi\u00e9n nos ha permitido deducir un m\u00e9todo de orden mayor que uno para un problema bidimensional de convecci\u00f3n-difusi\u00f3n con capas regular y parab\u00f3licas.  adem\u00e1s de exponer la forma de obtener los esquemas de orden alto, se ha realizado un riguroso an\u00e1lisis de su convergencia. Un buen n\u00famero de experiencias num\u00e9ricas confirman los resultados te\u00f3ricos sobre el orden de convergencia.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Esquemas de orden alto sobre mallas de shishkin para problemas de perturbacion singular.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Esquemas de orden alto sobre mallas de shishkin para problemas de perturbacion singular. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Gracia Lozano Jos\u00e9 Luis <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Zaragoza<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 30\/06\/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>Francisco Javier Lisbona Cort\u00e9s<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: felipe Petriz calvo <\/li>\n<li> Jorge ulecia Juan  Carlos (vocal)<\/li>\n<li>alfredo Berm\u00fadez de castro l\u00f3pez-varela (vocal)<\/li>\n<li>salim Meddahi (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Gracia Lozano Jos\u00e9 Luis Problemas de perturbaci\u00f3n singular aparecen en numerosos campos de la matem\u00e1tica aplicada. Particularmente, [&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 center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[1191,126,1193,16115,13610],"tags":[3191,28603,27918,171991,135279,171992],"class_list":["post-80270","post","type-post","status-publish","format-standard","hentry","category-analisis-numerico","category-matematicas","category-resolucion-de-ecuaciones-diferenciales-en-derivadas-parciales","category-resolucion-de-ecuaciones-diferenciales-ordinarias","category-zaragoza","tag-alfredo-bermudez-de-castro-lopez-varela","tag-felipe-petriz-calvo","tag-francisco-javier-lisbona-cortes","tag-gracia-lozano-jose-luis","tag-jorge-ulecia-juan-carlos","tag-salim-meddahi"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/80270","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=80270"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/80270\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=80270"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=80270"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=80270"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}