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Instability and Collapse in Discrete Wave Equations

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dc.contributor.authorCarpio Rodríguez, Ana María
dc.contributor.authorDuro, Gema
dc.date.accessioned2024-01-22T12:08:17Z
dc.date.available2024-01-22T12:08:17Z
dc.date.issued2005-01-01
dc.description.abstractUnstable growth phenomena in spatially discrete wave equations are studied. We characterize sets of initial states leading to instability and collapse and obtain analytical predictions for the blow-up time. The theoretical predictions are contrasted with the numerical solutions computed by a variety of schemes. The behavior of the systems in the continuum limit and the impact of discreteness and friction are discussed.en
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipUnión Europea
dc.description.sponsorshipMinisterio de Ciencia y Tecnología
dc.description.statuspub
dc.identifier.doi10.2478/cmam-2005-0011
dc.identifier.issn1609-9389
dc.identifier.issn1609-4840
dc.identifier.officialurlhttps://www.degruyter.com/document/doi/10.2478/cmam-2005-0011/html
dc.identifier.urihttps://hdl.handle.net/20.500.14352/94351
dc.issue.number3
dc.journal.titleComputational Methods in Applied Mathematics
dc.language.isoeng
dc.page.final241
dc.page.initial223
dc.publisherDe Gruyter
dc.relation.projectIDHPRN-CT-2002-00282
dc.relation.projectIDBFM2002-04127-C02
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.keywordNonlinear oscillators
dc.subject.keywordDiscrete wave equations
dc.subject.keywordMethod of lines
dc.subject.keywordInstability
dc.subject.keywordCollapse
dc.subject.keywordBlow-up
dc.subject.keywordConservative models
dc.subject.ucmAnálisis numérico
dc.subject.unesco1206 Análisis Numérico
dc.titleInstability and Collapse in Discrete Wave Equationsen
dc.typejournal article
dc.volume.number5
dspace.entity.typePublication
relation.isAuthorOfPublicationf301b87d-970b-4da8-9373-fef22632392a
relation.isAuthorOfPublication.latestForDiscoveryf301b87d-970b-4da8-9373-fef22632392a

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