On Unconditionally Positivity Preserving and Conservative Methods for Systems of Advection-Diffusion-Reaction Equations

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dc.contributor.authorGobbert, Matthias
dc.contributor.authorMeister, Andreas
dc.contributor.authorWallbaum, Sven
dc.date.accessioned2025-08-13T20:14:30Z
dc.date.issued2014-12-22
dc.description.abstractAn unconditionally positivity preserving finite difference scheme (UPFD) for systems of advection-diffusion-reaction equations with non-linear reaction terms is proposed. A modified Patankar approach is employed with respect to the reaction part in order to ensure both conservativity and positivity without any additional constraints on the time step size. (© 2014 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)
dc.description.urihttps://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.201410463
dc.format.extent2 pages
dc.genrejournal articles
dc.genrepreprints
dc.identifierdoi:10.13016/m2gxjc-z2ww
dc.identifier.citationGobbert, Matthias K., Andreas Meister, and Sven Wallbaum. “On Unconditionally Positivity Preserving and Conservative Methods for Systems of Advection-Diffusion-Reaction Equations.” PAMM 14, no. 1 (2014): 965–66. https://doi.org/10.1002/pamm.201410463.
dc.identifier.urihttps://doi.org/10.1002/pamm.201410463
dc.identifier.urihttp://hdl.handle.net/11603/39773
dc.language.isoen
dc.publisherWiley
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Mathematics and Statistics Department
dc.relation.ispartofUMBC Faculty Collection
dc.rightsThis is the pre-peer reviewed version of the following article: Gobbert, Matthias K., Andreas Meister, and Sven Wallbaum. “On Unconditionally Positivity Preserving and Conservative Methods for Systems of Advection-Diffusion-Reaction Equations.” PAMM 14, no. 1 (2014): 965–66. https://doi.org/10.1002/pamm.201410463., which has been published in final form at https://doi.org/10.1002/pamm.201410463. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions
dc.titleOn Unconditionally Positivity Preserving and Conservative Methods for Systems of Advection-Diffusion-Reaction Equations
dc.typeText
dcterms.creatorhttps://orcid.org/0000-0003-1745-2292

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