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dc.date.accessioned2013-03-12T08:19:15Z
dc.date.available2013-03-12T08:19:15Z
dc.date.issued2003en_US
dc.date.submitted2009-12-11en_US
dc.identifier.urihttp://hdl.handle.net/10852/10637
dc.description.abstractWe develop a general L1-framework for deriving continuous dependence and error estimates for quasilinear anisotropic degenerate parabolic equations with the aid of the Chen-Perthame kinetic approach [9]. We apply L1-framework to establish an explicit estimate for continuous dependence on the nonlinearities and an optimal error estimate for the vanishing anisotropic viscosity method, without the requirement of bounded variation of the approximate solutions. Finally, as an example of a direct application of this framework to numerical methods, we focus on a linear convection-diffusion model equation and derive an L1 error estimate for an upwind-central finite difference scheme.eng
dc.language.isoengen_US
dc.publisherMatematisk Institutt, Universitetet i Oslo
dc.relation.ispartofPreprint series. Pure mathematics http://urn.nb.no/URN:NBN:no-8076en_US
dc.relation.urihttp://urn.nb.no/URN:NBN:no-8076
dc.titleL¹-FRAMEWORK FOR CONTINUOUS DEPENDENCE AND ERROR ESTIMATES FOR QUASILINEAR ANISOTROPIC DEGENERATE PARABOLIC EQUATIONSL¹-FRAMEWORK FOR CONTINUOUS DEPENDENCE AND ERROR ESTIMATES FOR QUASILINEAR ANISOTROPIC DEGENERATE PARABOLIC EQUATIONSen_US
dc.typeResearch reporten_US
dc.date.updated2009-12-11en_US
dc.creator.authorChen, Gui-Qiangen_US
dc.creator.authorKarlsen, Kenneth H.en_US
dc.subject.nsiVDP::410en_US
dc.identifier.urnURN:NBN:no-23719en_US
dc.type.documentForskningsrapporten_US
dc.identifier.duo97820en_US
dc.identifier.fulltextFulltext https://www.duo.uio.no/bitstream/handle/10852/10637/1/pm06-03.pdf


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