88 citations · 157 across the 24 of their papers we have counts for
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Convergence of a Hyperbolic Thermodynamically Compatible Finite Volume scheme for the Euler equations
Michael Dumbser, Mária Lukáčová-Medvid'ová, Andrea Thomann
We study the convergence of a novel family of thermodynamically compatible schemes for hyperbolic systems (HTC schemes) in the framework of dissipative weak solutions, applied to t…
Asymptotic preserving finite volume method for the compressible Euler equations: analysis via dissipative measure-valued solutions
K. R. Arun, Amogh Krishnamurthy, Mária Lukáčová-Medvid'ová
We propose and analyze a new asymptotic preserving (AP) finite volume scheme for the multidimensional compressible barotropic Euler equations to simulate low Mach number flows. The…
Monte Carlo method and the random isentropic Euler system
Eduard Feireisl, Mária Lukáčová-Medvid'ová, Hana Mizerová +1
We show several results on convergence of the Monte Carlo method applied to consistent approximations of the isentropic Euler system of gas dynamics with uncertain initial data. Ou…