{"id":36164,"date":"1998-01-01T00:00:00","date_gmt":"1998-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/metodos-de-tipo-rk-diagonalmente-implicitos-para-problemas-stiff-con-soluciones-oscilantes\/"},"modified":"1998-01-01T00:00:00","modified_gmt":"1998-01-01T00:00:00","slug":"metodos-de-tipo-rk-diagonalmente-implicitos-para-problemas-stiff-con-soluciones-oscilantes","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/metodos-de-tipo-rk-diagonalmente-implicitos-para-problemas-stiff-con-soluciones-oscilantes\/","title":{"rendered":"Metodos de tipo rk diagonalmente implicitos para problemas stiff con soluciones oscilantes."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Inmaculada Gomez Iba\u00f1ez <\/strong><\/h2>\n<p>En la memoria se realiza el estudio y construcci\u00f3n de m\u00e9todos de tipo runge-kutta diagonalmente implicitos para problemas stiff con soluciones oscilantes.  la memoria consta de tres grandes bloques o cap\u00edtulos. En el cap\u00edtulo i se estudian los m\u00e9todos rk diagonalmente implicitos (dirk) atendiendo a sus propiedades de dispersi\u00f3n y disipaci\u00f3n. Se dise\u00f1an m\u00e9todos sdirk a-estables con orden elevado de dispersi\u00f3n y disipaci\u00f3n y tambi\u00e9n se estudian y construyen m\u00e9todos dirk p-estables.  en el cap\u00edtulo ii se estudian los m\u00e9todos rk de tipo nystrom diagonalmente impl\u00edcitos (dirkn), en particular se construyen m\u00e9todos sdirkn p-estables y can\u00f3nicos con alto orden de dispersi\u00f3n.  en el cap\u00edtulo iii se estudian y analizan en detalle los m\u00e9todos rk iterados en paralelo de forma diagonalmente impl\u00edcita (pdirk). Estos m\u00e9todos se construyen partiendo de un rk de referencia (corrector), de manera que introduciendo una iteraci\u00f3n diagonal de tipo predictor-conector se obtiene un algoritmo que al implementarlo sobre un ordenador con varios procesadores presenta un coste computacional similar al de los m\u00e9todos dirk secuenciales.  el objetivo principal de este proceso consiste en determinar una iteraci\u00f3n diagonal adecuada para que el m\u00e9todo pdirk resultante herede determinadas propiedades de su m\u00e9todo rk de referencia.  en este cap\u00edtulo se dise\u00f1an y construyen m\u00e9todos psdirk de tipo cl\u00e1sico y tipo lagrange que son a-estables o l-estables y presentan el mismo orden de las etapas que sus conectores, al menos para modelos lineales de tipo prothero-robinson.  en la \u00faltima secci\u00f3n de todos los cap\u00edtulos se presentan una selecci\u00f3n de los experimentos num\u00e9ricos realizados, junto con algunas conclusiones.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Metodos de tipo rk diagonalmente implicitos para problemas stiff con soluciones oscilantes.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Metodos de tipo rk diagonalmente implicitos para problemas stiff con soluciones oscilantes. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Inmaculada Gomez Iba\u00f1ez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Zaragoza<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1998<\/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 M. Franco Garcia<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Felipe Petriz Calvo <\/li>\n<li>Mar\u00eda   Inmaculada Higueras Sanz (vocal)<\/li>\n<li> Martinez Fernandez Jos\u00e9 Javier (vocal)<\/li>\n<li>Severiano Gonzalez Pinto (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Inmaculada Gomez Iba\u00f1ez En la memoria se realiza el estudio y construcci\u00f3n de m\u00e9todos de tipo runge-kutta [&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":[1191,126,31342,13610],"tags":[28603,95924,95925,39424,52556,95926],"class_list":["post-36164","post","type-post","status-publish","format-standard","hentry","category-analisis-numerico","category-matematicas","category-resolucion-de-ecuaciones-diferenciales","category-zaragoza","tag-felipe-petriz-calvo","tag-inmaculada-gomez-ibanez","tag-jose-m-franco-garcia","tag-maria-inmaculada-higueras-sanz","tag-Martinez-fernandez-jose-javier","tag-severiano-gonzalez-pinto"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/36164","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=36164"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/36164\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=36164"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=36164"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=36164"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}