On Symbolic Solutions of Algebraic Partial Differential Equations
Identificadores
Enlace permanente (URI): http://hdl.handle.net/10017/20704DOI: 10.1007/978-3-319-10515-4_9
ISBN: 978-3-319-10514-7
Editor
Springer
Fecha de publicación
2014Patrocinadores
Ministerio de Ciencia e Innovación
Ministerio de Economía y Competitividad
Cita bibliográfica
Proc.CAS., 2014, p. 111-120
Palabras clave
Partial di erential equations
Partial differential equations
Algebraic surfaces
Rational parametrizations
Radical Parametrizations
Descripción
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
Proyectos
info:eu-repo/grantAgreement/MICINN//MTM2011-25816-C02-01/ES/ALGORITMOS Y APLICACIONES EN GEOMETRIA DE CURVAS Y SUPERFICIES/
info:eu-repo/grantAgreement/MINECO//MTM2012-31439/ES/ANALISIS DE PERTURBACIONES SINGULARES: ESTUDIO ASINTOTICO, CAPAS LIMITE Y FENOMENOS MULTIESCALA/
Tipo de documento
info:eu-repo/semantics/conferenceObject
Versión
info:eu-repo/semantics/submittedVersion
Versión del editor
http://dx.doi.org/10.1007/978-3-319-10515-4_9Derechos
© Springer International Publishing Switzerland, 2014
Derechos de acceso
info:eu-repo/semantics/openAccess
Resumen
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.
Ficheros en el ítem
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CASC14-version-repositorio.pdf | 323.9Kb |
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