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math.NA2019★ 4 cited
Convergent numerical approximation of the stochastic total variation flow
Ľubomír Baňas, Michael Röckner, André Wilke
We study the stochastic total variation flow (STVF) equation with linear multiplicative noise. By considering a limit of a sequence of regularized stochastic gradient flows with re…
math.NA2010★ 71 cited
A Milstein scheme for SPDEs
Arnulf Jentzen, Michael Roeckner
This article studies an infinite dimensional analog of Milstein's scheme for finite dimensional stochastic ordinary differential equations (SODEs). The Milstein scheme is known to…