Show simple item record

dc.contributor.authorMehmetoglu, Orhan
dc.contributor.authorPopov, Bojan
dc.date.accessioned2016-02-25T13:41:02Z
dc.date.available2016-02-25T13:41:02Z
dc.date.issued2012-01-01
dc.identifier.citationMehmetoglu O, Popov B (2012) Maximum principle and convergence of central schemes based on slope limiters. Math Comp 81: 219–231. Available: http://dx.doi.org/10.1090/s0025-5718-2011-02514-7.
dc.identifier.issn0025-5718
dc.identifier.issn1088-6842
dc.identifier.doi10.1090/s0025-5718-2011-02514-7
dc.identifier.urihttp://hdl.handle.net/10754/598778
dc.description.abstractA maximum principle and convergence of second order central schemes is proven for scalar conservation laws in dimension one. It is well known that to establish a maximum principle a nonlinear piecewise linear reconstruction is needed and a typical choice is the minmod limiter. Unfortunately, this implies that the scheme uses a first order reconstruction at local extrema. The novelty here is that we allow local nonlinear reconstructions which do not reduce to first order at local extrema and still prove maximum principle and convergence. © 2011 American Mathematical Society.
dc.description.sponsorshipThis material is based on work supported by the National Science Foundation grant DMS-0811041. This publication is based on work partially supported by Award No. KUS-C1-016-04,made by King Abdullah University of Science and Technology (KAUST).
dc.publisherAmerican Mathematical Society (AMS)
dc.titleMaximum principle and convergence of central schemes based on slope limiters
dc.typeArticle
dc.identifier.journalMathematics of Computation
dc.contributor.institutionTexas A and M University, College Station, United States
kaust.grant.numberKUS-C1-016-04


This item appears in the following Collection(s)

Show simple item record