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math.NA2022
Weak error analysis for the stochastic Allen-Cahn equation
Dominic Breit, Andreas Prohl
We prove strong rate resp. weak rate for a structure preserving temporal discretization (with the step size) of the stochastic Allen-Cahn equation with additi…
math.NA2022
Higher order time discretization for the stochastic semilinear wave equation with multiplicative noise
Xiaobing Feng, Akash Ashirbad Panda, Andreas Prohl
In this paper, a higher-order time-discretization scheme is proposed, where the iterates approximate the solution of the stochastic semilinear wave equation driven by multiplicativ…