Construction and study of local linearization adaptive codes for ordinary differential equations

The aim of this work is to construct adaptive integrators for ordinary differential equations based on the Local Linearization method. Different orders of the involved Padé approximation are considered and their effect on the adaptive integrators is studied. 

Main Authors: Sotolongo Aguiar, Alina, Jiménez Sobrino, Juan Carlos
Format: artículo científico
Language: Español
Published: 2015
Subjects:
Online Access: http://revistas.ucr.ac.cr/index.php/matematica/article/view/14136
http://hdl.handle.net/10669/13044
id RepoKERWA13044
recordtype dspace
spelling RepoKERWA130442021-05-02T23:20:54Z Construction and study of local linearization adaptive codes for ordinary differential equations Construcción y estudio de códigos adaptativos de linealización local para ecuaciones diferenciales ordinarias Sotolongo Aguiar, Alina Jiménez Sobrino, Juan Carlos integradores numéricos código adaptativo método de linealización local método de Runge Kutta fórmula de Padé The aim of this work is to construct adaptive integrators for ordinary differential equations based on the Local Linearization method. Different orders of the involved Padé approximation are considered and their effect on the adaptive integrators is studied.  El propósito de este trabajo es construir códigos adaptativos del método de Linealización Local para Ecuaciones Diferenciales Ordinarias (EDO) y analizar su comportamiento numérico. Además, se estudia el efecto que sobre las propiedades de los códigos produce la variación en la precisión de las aproximaciones de Padé utilizadas. 2015-05-19T19:10:38Z 2015-05-19T19:10:38Z 2014-04-03 19:29:59 2015-05-19T19:10:38Z artículo científico http://revistas.ucr.ac.cr/index.php/matematica/article/view/14136 http://hdl.handle.net/10669/13044 10.15517/rmta.v21i1.14136 es Revista de Matemática: Teoría y Aplicaciones Vol. 21 Núm. 1 21-53 application/pdf
institution Universidad de Costa Rica
collection Repositorio KERWA
language Español
topic integradores numéricos
código adaptativo
método de linealización local
método de Runge Kutta
fórmula de Padé
spellingShingle integradores numéricos
código adaptativo
método de linealización local
método de Runge Kutta
fórmula de Padé
Sotolongo Aguiar, Alina
Jiménez Sobrino, Juan Carlos
Construction and study of local linearization adaptive codes for ordinary differential equations
description The aim of this work is to construct adaptive integrators for ordinary differential equations based on the Local Linearization method. Different orders of the involved Padé approximation are considered and their effect on the adaptive integrators is studied. 
format artículo científico
author Sotolongo Aguiar, Alina
Jiménez Sobrino, Juan Carlos
author_sort Sotolongo Aguiar, Alina
title Construction and study of local linearization adaptive codes for ordinary differential equations
title_short Construction and study of local linearization adaptive codes for ordinary differential equations
title_full Construction and study of local linearization adaptive codes for ordinary differential equations
title_fullStr Construction and study of local linearization adaptive codes for ordinary differential equations
title_full_unstemmed Construction and study of local linearization adaptive codes for ordinary differential equations
title_sort construction and study of local linearization adaptive codes for ordinary differential equations
publishDate 2015
url http://revistas.ucr.ac.cr/index.php/matematica/article/view/14136
http://hdl.handle.net/10669/13044
_version_ 1712705872625401856
score 11.949788