{"id":130969,"date":"1996-01-01T00:00:00","date_gmt":"1996-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/metodos-multipaso-multiparametricos-para-la-integracion-numerica-de-ecuaciones-diferenciales-ordinarias-de-tipo-siff\/"},"modified":"1996-01-01T00:00:00","modified_gmt":"1996-01-01T00:00:00","slug":"metodos-multipaso-multiparametricos-para-la-integracion-numerica-de-ecuaciones-diferenciales-ordinarias-de-tipo-siff","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/metodos-multipaso-multiparametricos-para-la-integracion-numerica-de-ecuaciones-diferenciales-ordinarias-de-tipo-siff\/","title":{"rendered":"Metodos multipaso multiparametricos para la integracion numerica de ecuaciones diferenciales ordinarias de tipo siff."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  San Jos\u00e9 Alagon Ignacio <\/strong><\/h2>\n<p>Se presentan los fundamentos basicos para la construccion de formulas lineales multipaso multiparametricas utilizando tecnicas de interpolacion con funciones trigonometricas e hiperbolicas, mediante la construccion diferencias divididas basadas en este tipo de funciones.  ademas seconstruye el desarrollo de taylor de manera analoga a la teoria clasica, pero basado en dichas funciones. Su utilizacion permitira el analisis de las formulas lineales multipaso multiparametricas.  se desarrollan la formulas lineales multipaso multiparametricas tipo bdf, utilizando la metodolog\u00eda de k. R. Jackson r. Sacks-davis obteniendose una expresion general de forma recurrente que permitira particularizar en tres esquemas distintos de implementacion.  se estudia la convergencia de las formulas con paso fijo y paso variable.  de este modo se construye el desarrollo asintotico del operador de error local de formulas lineales multipaso multiparametricas tipo bdf, introduciendo el concepto de orden de consistencia. Tambien se hace un estudio de la cero-estabilidad para formulas lineales multipaso multiparametricas de coeficientes constantes, encontrandose un conjunto de intervalos para los parametros donde las formulas cumplen la propiedad de cero-estabilidad. Ademas se han obtenido formulas de orden 7 y cero-estables, superando asi la barrera de orden 6 para las formulas bdf clasicas de paso constante.  se hace el estudio de a-estabilidad de las formulas, partiendo de los intervalos de los parametros, obtenidos en el capitulo tercero, donde las formulas lineales multipaso multiparametricas de coeficientes constantes son cero-estables se han obtenido formulas a-estables convergentes de ordenes 1,2,3,4 y 5.  se indica la forma de implementacion del codigo objeto de esta memoria.  se hace un estudio comparativo del codigo obtenido con el desarrollo por l. Petzold.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Metodos multipaso multiparametricos para la integracion numerica de ecuaciones diferenciales ordinarias de tipo siff.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Metodos multipaso multiparametricos para la integracion numerica de ecuaciones diferenciales ordinarias de tipo siff. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  San Jos\u00e9 Alagon Ignacio <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Zaragoza<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1996<\/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> Correas Dobato Jos\u00e9 Manuel<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Carlos Conde Lazaro <\/li>\n<li>Gabriel Quinter Althans (vocal)<\/li>\n<li>Manuel Doblar\u00e9 Castellano (vocal)<\/li>\n<li>Mar\u00eda Cruz L\u00f3pez De Silanes Busto (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de San Jos\u00e9 Alagon Ignacio Se presentan los fundamentos basicos para la construccion de formulas lineales multipaso multiparametricas [&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":[1191,126,16115,13610],"tags":[16557,25589,244647,18233,35820,244646],"class_list":["post-130969","post","type-post","status-publish","format-standard","hentry","category-analisis-numerico","category-matematicas","category-resolucion-de-ecuaciones-diferenciales-ordinarias","category-zaragoza","tag-carlos-conde-lazaro","tag-correas-dobato-jose-manuel","tag-gabriel-quinter-althans","tag-manuel-doblare-castellano","tag-maria-cruz-lopez-de-silanes-busto","tag-san-jose-alagon-ignacio"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/130969","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=130969"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/130969\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=130969"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=130969"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=130969"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}