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

Laurent Boudin,Julien Mathiaud-2012-06-24-HAL (Le Centre pour la Communication Scientifique Directe)
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TL;DRAbstract

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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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.

Keywords

Inviscid flowScheme (mathematics)ViscosityWork (physics)Applied mathematicsMathematicsMechanicsMathematical analysis

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