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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https://hal.inria.fr/hal-00765620
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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. pp.1066. ⟨hal-00765620⟩

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