Convergence analysis of the Hopmoc method

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorOliveira, Simoni R. de-
Autor(es): dc.creatorOliveira, Sanderson L. Gonzaga de-
Autor(es): dc.creatorKischinhevsky, Mauricio-
Data de aceite: dc.date.accessioned2026-02-09T11:17:51Z-
Data de disponibilização: dc.date.available2026-02-09T11:17:51Z-
Data de envio: dc.date.issued2020-10-20-
Data de envio: dc.date.issued2020-10-20-
Data de envio: dc.date.issued2009-08-
Fonte completa do material: dc.identifierhttps://repositorio.ufla.br/handle/1/43485-
Fonte completa do material: dc.identifierhttps://www.tandfonline.com/doi/abs/10.1080/00207160701870860?journalCode=gcom20-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/1137852-
Descrição: dc.descriptionThe Hopmoc method combines concepts of the modified method of characteristics (MMOC) and the Hopscotch method. First, Hopmoc resembles Hopscotch because it decomposes the set of grid points into two subsets. Namely, both subsets have their unknowns separately updated within one semi-step. Furthermore, each subset undergoes one explicit and one implicit update of its unknowns in order to lead to a symmetrical procedure. Such decomposition inspired the use of a convergence analysis similar to the one used in alternating direction implicit methods. Secondly, the steps are evaluated along characteristic lines in a semi-Lagrangian approach similar to the MMOC. In this work, both consistency and stability analysis are discussed for Hopmoc applied to a convection–diffusion equation. The analysis produces sufficient conditions for the consistency analysis and proves that the Hopmoc method presents unconditional stability. In addition, numerical results confirm the conducted convergence analysis.-
Idioma: dc.languageen-
Publicador: dc.publisherTaylor & Francis-
Direitos: dc.rightsrestrictAccess-
???dc.source???: dc.sourceInternational Journal of Computer Mathematics-
Palavras-chave: dc.subjectModified method of characteristics-
Palavras-chave: dc.subjectHopscotch-
Palavras-chave: dc.subjectConvergence analysis-
Palavras-chave: dc.subjectSemi-Lagrangian approach-
Palavras-chave: dc.subjectMétodo modificado de características-
Palavras-chave: dc.subjectAnálise de convergência-
Palavras-chave: dc.subjectAbordagem Semi-Lagrangiana-
Título: dc.titleConvergence analysis of the Hopmoc method-
Tipo de arquivo: dc.typeArtigo-
Aparece nas coleções:Repositório Institucional da Universidade Federal de Lavras (RIUFLA)

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