{"id":84629,"date":"2018-03-10T00:08:59","date_gmt":"2018-03-10T00:08:59","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/metodos-computacionales-en-los-sistemas-de-ecuaciones-en-derivadas-parciales\/"},"modified":"2018-03-10T00:08:59","modified_gmt":"2018-03-10T00:08:59","slug":"metodos-computacionales-en-los-sistemas-de-ecuaciones-en-derivadas-parciales","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/metodos-computacionales-en-los-sistemas-de-ecuaciones-en-derivadas-parciales\/","title":{"rendered":"Metodos computacionales en los sistemas de ecuaciones en derivadas parciales"},"content":{"rendered":"<h2>Tesis doctoral de <strong> M. Angeles Moreno Frias <\/strong><\/h2>\n<p>La memoria tiene dos partes: la primera est\u00e1 dedicada a la comparaci\u00f3n entre los m\u00e9todos cl\u00e1sicos de riquier-janet(para el estudio de los sistemas de ecuaciones en derivadas parciales) y los m\u00e9todos modernos del alg\u00e9bra computacional. Los resultados de janet tienen la siguiente interpretaci\u00f3n homol\u00f3gica: los sistemas de janet( y riquier y otros) tienen grupos ext(de orden superior a 1, a valores en el anillo de g\u00e9rmenes de funciones holomorfas)nulos.  en la segunda parte se estudian otros m\u00e9todos efectivos para ciertos anillos de operadores diferenciales. Estos anillos incluyen a los anillos considerados en la primera parte y a los anillos de operadores sobre anillos de \u00abfucniones\u00bbmeromorfas con polos sobre un cruzamiento normal. Se desarrolla la noci\u00f3n de    -bases de gr\u00ed\u00b6bner para los ideales(a la izquierda) de estos anillos y, en particular, si los coeficientes est\u00e1n en un cuerpo (generalmente un cuerpo de funciones) entonces las    -bases coinciden con las bases de janet, estudiadas en la primera parte. Adem\u00e1s, se compara la noci\u00f3n de   -base de gr\u00ed\u00b6bner con la noci\u00f3n de base de gr\u00ed\u00b6bner en el \u00e1lgebra de weyl.  algunas aplicaciones son:  a)utilizando la eliminaci\u00f3n de variables no conmutativas se calcula la intersecciones de ideales.  b)c\u00e1lculo de las sicigias y de una resoluci\u00f3n libre de un m\u00f3delo finitamente generado sobre el anillo de operadores.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Metodos computacionales en los sistemas de ecuaciones en derivadas parciales<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Metodos computacionales en los sistemas de ecuaciones en derivadas parciales <\/li>\n<li><strong>Autor:<\/strong>\u00a0 M. Angeles Moreno Frias <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Sevilla<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 22\/05\/2000<\/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 Jes\u00fas Castro Jim\u00e9nez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Romero romero Jos\u00e9 Luis <\/li>\n<li>angel Granja baron (vocal)<\/li>\n<li>Luis Narv\u00e1ez macarro (vocal)<\/li>\n<li>Emilio Briales moreno (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de M. Angeles Moreno Frias La memoria tiene dos partes: la primera est\u00e1 dedicada a la comparaci\u00f3n entre [&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":[2809,8247,5301,126,10715],"tags":[12794,178677,37759,39860,178675,178676],"class_list":["post-84629","post","type-post","status-publish","format-standard","hentry","category-algebra","category-algebra-diferencial","category-geometria-algebraica","category-matematicas","category-sevilla","tag-angel-granja-baron","tag-emilio-briales-moreno","tag-francisco-jesus-castro-jimenez","tag-luis-narvaez-macarro","tag-m-angeles-moreno-frias","tag-romero-romero-jose-luis"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/84629","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=84629"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/84629\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=84629"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=84629"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=84629"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}