dc.contributor.author | Grasegger, Georg | |
dc.contributor.author | Sendra Pons, Juan Rafael | |
dc.contributor.author | Lastra Sedano, Alberto | |
dc.contributor.author | Winkler, Franz | |
dc.date.accessioned | 2014-11-04T13:41:25Z | |
dc.date.available | 2014-11-04T13:41:25Z | |
dc.date.issued | 2014 | |
dc.identifier.bibliographicCitation | Proc.CAS., 2014, p. 111-120 | en |
dc.identifier.isbn | 978-3-319-10514-7 | |
dc.identifier.uri | http://hdl.handle.net/10017/20704 | |
dc.description | The 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_9 | en |
dc.description.abstract | In 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.sponsorship | Ministerio de Ciencia e Innovación | es_ES |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es_ES |
dc.format.mimetype | application/pdf | en |
dc.language.iso | eng | en |
dc.publisher | Springer | |
dc.rights | © Springer International Publishing Switzerland, 2014 | en |
dc.subject | Partial di erential equations | en |
dc.subject | Partial differential equations | en |
dc.subject | Algebraic surfaces | en |
dc.subject | Rational parametrizations | en |
dc.subject | Radical Parametrizations | en |
dc.title | On Symbolic Solutions of Algebraic Partial Differential Equations | en |
dc.type | info:eu-repo/semantics/conferenceObject | en |
dc.subject.eciencia | Ciencia | es_ES |
dc.subject.eciencia | Matemáticas | es_ES |
dc.subject.eciencia | Science | en |
dc.subject.eciencia | Mathematics | en |
dc.contributor.affiliation | Universidad de Alcalá. Departamento de Física y Matemáticas. Unidad docente Matemáticas | es_ES |
dc.relation.publisherversion | http://dx.doi.org/10.1007/978-3-319-10515-4_9 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | en |
dc.identifier.doi | 10.1007/978-3-319-10515-4_9 | |
dc.relation.projectID | info:eu-repo/grantAgreement/MICINN//MTM2011-25816-C02-01/ES/ALGORITMOS Y APLICACIONES EN GEOMETRIA DE CURVAS Y SUPERFICIES/ | en |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2012-31439/ES/ANALISIS DE PERTURBACIONES SINGULARES: ESTUDIO ASINTOTICO, CAPAS LIMITE Y FENOMENOS MULTIESCALA/ | en |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | en |