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dc.contributor.authorGrasegger, Georg
dc.contributor.authorSendra Pons, Juan Rafael 
dc.contributor.authorLastra Sedano, Alberto 
dc.contributor.authorWinkler , Franz
dc.date.accessioned2014-11-04T13:41:25Z
dc.date.available2014-11-04T13:41:25Z
dc.date.issued2014
dc.identifier.bibliographicCitationProc.CAS., 2014, p. 111-120en
dc.identifier.isbn978-3-319-10514-7
dc.identifier.urihttp://hdl.handle.net/10017/20704
dc.descriptionThe final version of this paper appears in Grasegger G., Lastra A., Sendra J.R. and Winkler F. (2014). On symbolic solutions of algebraic partial differential equations, Proc. CASC 2014 SpringerVerlag LNCS 8660 pp. 111-120. DOI 10.1007/978-3-319-10515-4_9 and it is available at at Springer via http://DOI 10.1007/978-3-319-10515-4_9en
dc.description.abstractIn this paper we present a general procedure for solving rst-order autonomous algebraic partial di erential equations in two independent variables. The method uses proper rational parametrizations of algebraic surfaces and generalizes a similar procedure for rst-order autonomous ordinary di erential equations. We will demonstrate in examples that, depending on certain steps in the procedure, rational, radical or even non-algebraic solutions can be found. Solutions computed by the procedure will depend on two arbitrary independent constants.en
dc.description.sponsorshipMinisterio de Ciencia e Innovaciónes_ES
dc.description.sponsorshipMinisterio de Economía y Competitividades_ES
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherSpringer
dc.rights© Springer International Publishing Switzerland, 2014en
dc.subjectPartial di erential equationsen
dc.subjectPartial differential equationsen
dc.subjectAlgebraic surfacesen
dc.subjectRational parametrizationsen
dc.subjectRadical Parametrizationsen
dc.titleOn Symbolic Solutions of Algebraic Partial Differential Equationsen
dc.typeinfo:eu-repo/semantics/conferenceObjecten
dc.subject.ecienciaCIENCIAes_ES
dc.subject.ecienciaMatemáticases_ES
dc.subject.ecienciaSCIENCEen
dc.subject.ecienciaMathematicsen
dc.contributor.affiliationUniversidad de Alcalá. Departamento de Física y Matemáticas. Unidad docente Matemáticases_ES
dc.relation.publisherversionhttp://dx.doi.org/10.1007/978-3-319-10515-4_9
dc.type.versioninfo:eu-repo/semantics/submittedVersionen
dc.identifier.doi10.1007/978-3-319-10515-4_9
dc.relation.projectIDinfo:eu-repo/grantAgreement/MICINN//MTM2011-25816-C02-01/ES/ALGORITMOS Y APLICACIONES EN GEOMETRIA DE CURVAS Y SUPERFICIES/en
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//MTM2012-31439/ES/ANALISIS DE PERTURBACIONES SINGULARES: ESTUDIO ASINTOTICO, CAPAS LIMITE Y FENOMENOS MULTIESCALA/en
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen


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