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math.NA2021★ 3 cited
A posteriori estimates for the stochastic total variation flow
Ľubomír Baňas, André Wilke
We derive a posteriori error estimates for a fully discrete time-implicit finite element approximation of the stochastic total variaton flow (STVF) with additive space time noise.…
math.PR2021★ 1 cited
Stochastic partial differential equations arising in self-organized criticality
Ľubomír Baňas, Benjamin Gess, Marius Neuß
We study scaling limits of the weakly driven Zhang and the Bak-Tang-Wiesenfeld (BTW) model for self-organized criticality. We show that the weakly driven Zhang model converges to a…