Galoisian and numerical approach of three dimensional linear differential systems with skew symmetric matrices defined in a non- constant differential field

This work contrasts numerical methods with algebraic methods. These methods are applied to solve a three dimensional linear differential system with skew symmetric matrices defined in a non- constant differential field. Algorithms and methods of Differential Galois Theory, are used to provide an alg...

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Autores:

Acosta-Humánez, Primitivo Belén
Jiménez, M.
Ospino, Jorge

Tipo de recurso:

Fecha de publicación:

2018

Institución:

Universidad Simón Bolívar

Repositorio:

Repositorio Digital USB

Idioma:

spa

OAI Identifier:

oai:bonga.unisimon.edu.co:20.500.12442/1935

Acceso en línea:

http://hdl.handle.net/20.500.12442/1935

Palabra clave:

Differential Galois theory
Methods from Runge - Kutta family
Liouvillians solutions
Differential system of equations
Skew symmetric matrices
Non-constant differential field
Teoría de Galois diferencial
Métodos de la familia de Runge - Kutta
Soluciones Liouvillianas
Sistemas de ecuaciones diferenciales
Matrices antisimétricas
Cuerpo diferencial no constante

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Licencia de Creative Commons Reconocimiento-NoComercial-CompartirIgual 4.0 Internacional