Asymptotic behavior of a diffusive scheme solving the inviscid one-dimensional pressureless gases system

Abstract : In this work, we discuss some numerical properties of the viscous numerical scheme introduced in [Boudin, Mathiaud, NMPDE 2012] to solve the one-dimensional pressureless gases system, and study in particular, from a computational viewpoint, its asymptotic behavior when the viscosity parameter used in the scheme becomes smaller.
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HYP'2012 - Fourteenth International Conference on Hyperbolic Problems, Jun 2012, Padova, Italy. AIMS, AIMS Series on Applied Mathematics, 8, pp.1066, 2014, AIMS Series on Applied Mathematics - Hyperbolic Problems: Theory, Numerics, Applications. 〈https://aimsciences.org/books/am/AMVol8.html〉
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Laurent Boudin, Julien Mathiaud. Asymptotic behavior of a diffusive scheme solving the inviscid one-dimensional pressureless gases system. HYP'2012 - Fourteenth International Conference on Hyperbolic Problems, Jun 2012, Padova, Italy. AIMS, AIMS Series on Applied Mathematics, 8, pp.1066, 2014, AIMS Series on Applied Mathematics - Hyperbolic Problems: Theory, Numerics, Applications. 〈https://aimsciences.org/books/am/AMVol8.html〉. 〈hal-00765620〉

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