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Computational methods in algebra and analysis

 

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Opened Access Computational methods in algebra and analysis
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Author: Castro Jiménez, Francisco Jesús
Department: Universidad de Sevilla. Departamento de álgebra
Date: 2007-09
Published in: Boletín de la Sociedad Española de Matemática Aplicada, 40, 71-102
Document type: Article
Abstract: This paper describes some applications of Computer Algebra to Algebraic Analysis also known as D-module theory, i.e. the algebraic study of the systems of linear partial differential equations. Gröbner bases for rings of linear differential operators are the main tools in the field. We start by giving a short review of the problem of solving systems of polynomial equations by symbolic methods. These problems motivate some of the later developed subjects.
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Format: PDF

URI: http://hdl.handle.net/11441/41156

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