dc.contributor.author | del Teso, Félix | |
dc.contributor.author | Lindgren, Erik | |
dc.contributor.other | UAM. Departamento de Matemáticas | es_ES |
dc.date.accessioned | 2022-11-23T13:05:08Z | |
dc.date.available | 2022-11-23T13:05:08Z | |
dc.date.issued | 2022-10-21 | |
dc.identifier.citation | SeMA Journal 80 (2023): 527-547 | en_US |
dc.identifier.issn | 2254-3902 (print) | en_US |
dc.identifier.issn | 2281-7875 (online) | en_US |
dc.identifier.uri | http://hdl.handle.net/10486/705324 | |
dc.description.abstract | We propose a new finite difference scheme for the degenerate parabolic equation ∂tu-div(|∇u|p-2∇u)=f,p≥2.Under the assumption that the data is Hölder continuous, we establish the convergence of the explicit-in-time scheme for the Cauchy problem provided a suitable stability type CFL-condition. An important advantage of our approach, is that the CFL-condition makes use of the regularity provided by the scheme to reduce the computational cost. In particular, for Lipschitz data, the CFL-condition is of the same order as for the heat equation and independent of p | en_US |
dc.description.sponsorship | Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature | en_US |
dc.format.extent | 21 pag. | es_ES |
dc.format.mimetype | application/pdf | en_US |
dc.language.iso | eng | en |
dc.publisher | Springer | en_US |
dc.relation.ispartof | SeMA Journal | en_US |
dc.rights | © The Author(s) 2022 | en_US |
dc.subject.other | Explicit scheme | en_US |
dc.subject.other | Finite differences | en_US |
dc.subject.other | Mean value property | en_US |
dc.subject.other | p-Laplacian | en_US |
dc.subject.other | Viscosity solutions | en_US |
dc.title | Finite difference schemes for the parabolic p-Laplace equation | en_US |
dc.type | article | en_US |
dc.subject.eciencia | Matemáticas | es_ES |
dc.relation.publisherversion | https://doi.org/10.1007/s40324-022-00316-y | en_US |
dc.identifier.doi | 10.1007/s40324-022-00316-y | en_US |
dc.identifier.publicationfirstpage | 527 | es_ES |
dc.identifier.publicationlastpage | 547 | es_ES |
dc.identifier.publicationvolume | 80 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | en_US |
dc.rights.cc | Reconocimiento | es_ES |
dc.rights.accessRights | openAccess | en_US |
dc.facultadUAM | Facultad de Ciencias | es_ES |