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dc.contributor.author
Groisman, Pablo Jose  
dc.date.available
2022-02-04T01:56:54Z  
dc.date.issued
2006-12  
dc.identifier.citation
Groisman, Pablo Jose; Totally discrete explicit and semi-implicit Euler methods for a blow-up problem in several space dimensions; Springer Wien; Computing; 76; 3-4; 12-2006; 325-352  
dc.identifier.issn
0010-485X  
dc.identifier.uri
http://hdl.handle.net/11336/151321  
dc.description.abstract
The equation u t =Δu+u p with homogeneous Dirichlet boundary conditions has solutions with blow-up if p>1. An adaptive time-step procedure is given to reproduce the asymptotic behavior of the solutions in the numerical approximations. We prove that the numerical methods reproduce the blow-up cases, the blow-up rate and the blow-up time. We also localize the numerical blow-up set.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Springer Wien  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
ADAPTIVE NUMERICAL SCHEME  
dc.subject
ASYMPTOTIC BEHAVIOR  
dc.subject
BLOW-UP  
dc.subject.classification
Matemática Aplicada  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Totally discrete explicit and semi-implicit Euler methods for a blow-up problem in several space dimensions  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2021-12-03T20:54:14Z  
dc.journal.volume
76  
dc.journal.number
3-4  
dc.journal.pagination
325-352  
dc.journal.pais
Austria  
dc.journal.ciudad
Viena  
dc.description.fil
Fil: Groisman, Pablo Jose. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina  
dc.journal.title
Computing  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs00607-005-0136-0  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00607-005-0136-0  

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