### Article

 dc.creator Castro Jiménez, Francisco Jesús es dc.date.accessioned 2016-05-13T08:33:58Z dc.date.available 2016-05-13T08:33:58Z dc.date.issued 2007-09 dc.identifier.citation Castro Jiménez, F.J. (2007). Computational methods in algebra and analysis. dc.identifier.issn 1575-9822 es dc.identifier.uri http://hdl.handle.net/11441/41156 dc.description.abstract This paper describes some applications of Computer Algebra to es 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. dc.description.sponsorship Ministerio de Ciencia y Tecnología es dc.description.sponsorship Junta de Andalucía es dc.format application/pdf es dc.language.iso eng es dc.publisher Sociedad Española de Matemática Aplicada es dc.relation.ispartof null dc.rights Attribution-NonCommercial-NoDerivatives 4.0 Internacional * dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/4.0/ * dc.subject Polynomial ring es dc.subject polynomial system es dc.subject ring of linear differential operators es dc.subject differential system es dc.subject D-module es dc.subject Gröbner basis es dc.subject division theorem es dc.subject characteristic variety es dc.subject irregularity es dc.subject Bernstein-Sato polynomial es dc.subject logarithmic Dmodule es dc.subject projective module es dc.subject syzygy es dc.subject free resolution es dc.title Computational methods in algebra and analysis es dc.type info:eu-repo/semantics/article es dcterms.identifier https://ror.org/03yxnpp24 dc.type.version info:eu-repo/semantics/publishedVersion es dc.rights.accessRights info:eu-repo/semantics/openAccess es dc.contributor.affiliation Universidad de Sevilla. Departamento de álgebra es dc.relation.projectID MTM2004-01165 es dc.relation.projectID FQM-333 es idus.format.extent 32 p. es dc.identifier.idus https://idus.us.es/xmlui/handle/11441/41156 dc.contributor.funder Ministerio de Ciencia y Tecnología (MCYT). España dc.contributor.funder Junta de Andalucía
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