{"id":61721,"date":"2007-03-12T00:00:00","date_gmt":"2007-03-12T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/sobre-los-errores-locales-y-globales-de-la-integracion-de-ecuaciones-difereciales-ordinarias-mediante-metodos-de-runge-kutta-expla%c2%adcitos\/"},"modified":"2007-03-12T00:00:00","modified_gmt":"2007-03-12T00:00:00","slug":"sobre-los-errores-locales-y-globales-de-la-integracion-de-ecuaciones-difereciales-ordinarias-mediante-metodos-de-runge-kutta-expla%c2%adcitos","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/pais-vasco-euskal-herriko-unibertsitatea\/sobre-los-errores-locales-y-globales-de-la-integracion-de-ecuaciones-difereciales-ordinarias-mediante-metodos-de-runge-kutta-expla%c2%adcitos\/","title":{"rendered":"Sobre los errores locales y globales de la integraci\u00f3n de ecuaciones difereciales ordinarias mediante m\u00e9todos de runge-kutta expl\u00edcitos"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Joseba Makazaga Odria <\/strong><\/h2>\n<p>Resumen ekuazio diferentzial arrunten sistemak ebazterakoan runge-kuttaren metodoakaplikatzerakoan sortzen diren erroreen azterketa egin da. Ba\u00c2\u00a1 errore lokalena, bai eta globalena ere. Errore globalen \u00c2\u00a1nguruko \u00c2\u00a1nformazioa ematen duten m\u00e9todo berriak sortzeko bideai aztertu dir\u00e1 eta m\u00e9todo horien erabilgarritasuna eta balioa aztertu da. Bestalde, integrazio prozesua azkartzeko, errore globalare\u00ed \u00c2\u00a1nguruko \u00c2\u00a1nformazioaren erabilera berriak ere aztertu dir\u00e1. Horrez gain, runge-kutta metodoen errore lokalaren borne zehatzak ere eman dir\u00e1, eta borneen arabera metodoen arteko konparazioak ere egin dir\u00e1. Metodoak hobetzeko irizpideak ere aztertu dir\u00e1, et\u00ed errore lokala estimatzeko bid\u00e9 berriak ere aztertu dir\u00e1. Bukatzeko, emaitzak ebazpen prozesuan \u00f1ola erabil daitezkeen ere azaldu da.  se ha realizado un estudio de los errores en el proceso de resoluci\u00f3n de ecuaciones diferenciales ordinarias mediante m\u00e9todos d runge-kutta. Tanto el estudio de errores locales con el de los errores globales. Se ha dado una metodolog\u00eda para la construcci\u00f3n c m\u00e9todos que pueden aportar informaci\u00f3n sobre el error global y se ha analizado su val\u00eda. Por otra parte se han analizado nuevas estrategias de elecci\u00f3n de la longitud de paso en la integraci\u00f3n que hacen uso de la informaci\u00f3n del error global disponible. As\u00ed, s consigue incrementar la eficiencia de los m\u00e9todos. adem\u00e1s se han dado cotas rigurosas del error local y se han comparado los m\u00e9todos en funci\u00f3n de las cotas. Se han analizado los criterios de optimizaci\u00f3n de los m\u00e9todos y a su vez se han analizado nuevas v\u00edas de estimar el error local. Para finalizar, se h mostrado la forma de utilizar los resultados a la hora de resolver las odes.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Sobre los errores locales y globales de la integraci\u00f3n de ecuaciones difereciales ordinarias mediante m\u00e9todos de runge-kutta expl\u00edcitos<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Sobre los errores locales y globales de la integraci\u00f3n de ecuaciones difereciales ordinarias mediante m\u00e9todos de runge-kutta expl\u00edcitos <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Joseba Makazaga Odria <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Pa\u00eds vasco\/euskal herriko unibertsitatea<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 03\/12\/2007<\/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>Ander Murua Uria<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Jes\u00fas Mar\u00eda Sanz serna <\/li>\n<li>Mar\u00eda   inmaculada Higueras sanz (vocal)<\/li>\n<li>Juan  bosco Garc\u00eda archilla (vocal)<\/li>\n<li>Fernando Casas perez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Joseba Makazaga Odria Resumen ekuazio diferentzial arrunten sistemak ebazterakoan runge-kuttaren metodoakaplikatzerakoan sortzen diren erroreen azterketa egin da. [&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":[12909,31342,16115],"tags":[27889,94806,27823,136309,44545,39424],"class_list":["post-61721","post","type-post","status-publish","format-standard","hentry","category-pais-vasco-euskal-herriko-unibertsitatea","category-resolucion-de-ecuaciones-diferenciales","category-resolucion-de-ecuaciones-diferenciales-ordinarias","tag-ander-murua-uria","tag-fernando-casas-perez","tag-jesus-maria-sanz-serna","tag-joseba-makazaga-odria","tag-juan-bosco-garcia-archilla","tag-maria-inmaculada-higueras-sanz"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/61721","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=61721"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/61721\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=61721"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=61721"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=61721"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}