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Revista de Matemática Teoría y Aplicaciones

Print version ISSN 1409-2433

Rev. Mat vol.21 n.1 San José Jan./Jun. 2014

 

Construcción y estudio de códigos adaptativos de linealización local para ecuaciones diferenciales ordinarias

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

Alina Sotolongo Aguiar*+ Juan Carlos Jiménez Sobrino*

*Dirección para correspondencia:


Resumen

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.

Palabras clave: Integradores numéricos, código adaptativo, método de linealización local, método de Runge Kutta, fórmula de Padé.

Abstract

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.

Keywords: numerical integrators, adaptive codes, local linearization method, Runge–Kutta method, Padé aproximation.

Mathematics Subject Classification: 65L05, 37M05, 65L06.


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*Correspondencia a:
Alina Sotolongo Aguiar:Facultad de Matemática y Computación, Universidad de la Habana, La Habana, Cuba.E-Mail: alina.sotolongo@gmail.com
Juan Carlos Jiménez Sobrino: Instituto de Cibernética, Matemática y Física, Calle 15, No 551, La Habana, Cuba. E-Mail:jcarlos@icimaf.cu
*Facultad de Matemática y Computación, Universidad de la Habana, La Habana, Cuba.E-Mail: alina.sotolongo@gmail.com
Instituto de Cibernética, Matemática y Física, Calle 15, No 551, La Habana, Cuba. E-Mail:jcarlos@icimaf.cu

Received: 5/Oct/2011; Revised: 21/Jul/2013; Accepted: 5/Nov/2013

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