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dc.contributor.authorBreuß, Michael-
dc.contributor.authorKleefeld, Andreas-
dc.date.accessioned2024-05-23T08:12:37Z-
dc.date.available2024-05-23T08:12:37Z-
dc.date.issued2020-
dc.identifier.issn0251-4184-
dc.identifier.urihttps://dspace.ctu.edu.vn/jspui/handle/123456789/100893-
dc.description.abstractIn this article, a concept of implicit methods for sealar conservation laws in one or more spatial dimensions allowing also for source terms of various types is presented. This material is a significant extension of previous work of the first author (Breuß SIAM J. Numer. Anal. 43(3), 970-986 2005). Implicit notions are developed that are centered around a mono- tonicity criterion. We demonstrate a connection between a numerical scheme and a discrete entropy inequality, which is based on a classical approach by Crandall and Majda. Additionally, three implicit methods are investigated using the developed notions. Next, we conduct a convergence proof which is not based on a classical compactness argument. Finally, the theoretical results are confirmed by various numerical tests.vi_VN
dc.language.isoenvi_VN
dc.relation.ispartofseriesActa mathematica Vietnamica journal;Vol.45, No.03 .- P.709-738-
dc.subjectConservation lawsvi_VN
dc.subjectFinite difference methodsvi_VN
dc.subjectImplicit methodsvi_VN
dc.subjectMonotone methodsvi_VN
dc.subjectSource termvi_VN
dc.subjectEntropy solutionvi_VN
dc.titleImplicit monotone difference methods for scalar conservation laws with source termsvi_VN
dc.typeArticlevi_VN
Appears in Collections:Acta Mathematica Vietnamica 

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