Total variation diminishing nonstandard finite difference schemes for conservation laws

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dc.contributor.author Anguelov, Roumen
dc.contributor.author Lubuma, Jean M.-S.
dc.contributor.author Minani, Froduald
dc.date.accessioned 2009-10-28T06:13:49Z
dc.date.available 2009-10-28T06:13:49Z
dc.date.issued 2009
dc.description.abstract Nonstandard finite difference schemes for conservation laws preserving the property of diminishing total variation of the solution are proposed. Computationally simple implicit schemes are derived by using nonlocal approximation of nonlinear terms. Renormalization of the denominator of the discrete derivative is used for deriving explicit schemes of first or higher order. Unlike the standard explicit methods, the solutions of these schemes have diminishing total variation for any time step-size. en_US
dc.identifier.citation R. Anguelov, et al., Total variation diminishing nonstandard finite difference schemes for conservation laws, Mathematical and Computer Modelling (2009), doi:10.1016/j.mcm.2009.08.038 en_US
dc.identifier.issn 0895-7177
dc.identifier.other 10.1016/j.mcm.2009.08.038
dc.identifier.uri http://hdl.handle.net/2263/11612
dc.language.iso en en_US
dc.publisher Elsevier en_US
dc.rights Elsevier en_US
dc.subject Nonstandard finite difference method en
dc.subject Total variation diminishing en
dc.subject.lcsh Conservation laws (Mathematics) en
dc.title Total variation diminishing nonstandard finite difference schemes for conservation laws en_US
dc.type Postprint Article en_US


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