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math.NA2024
Error analysis of the Monte Carlo method for compressible magnetohydrodynamics
Eduard Feireisl, Maria Lukacova-Medvidova, Bangwei She +1
We study random compressible viscous magnetohydrodynamic flows. Combining the Monte Carlo method with a deterministic finite volume method we solve the random system numerically. Q…
math.NA2024
Monte Carlo method and the random isentropic Euler system
Eduard Feireisl, Mária LukáÄová-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…