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math.NA2022
Strong convergence rates of a fully discrete scheme for the Cahn-Hilliard-Cook equation
Ruisheng Qi, Meng Cai, Xiaojie Wang
The first aim of this paper is to examine existence, uniqueness and regularity for the Cahn-Hilliard-Cook (CHC) equation in space dimension . By applying a spectral Galerk…
math.NA2019
Weak convergence rates for an explicit full-discretization of stochastic Allen-Cahn equation with additive noise
Meng Cai, Siqing Gan, Xiaojie Wang
We discretize the stochastic Allen-Cahn equation with additive noise by means of a spectral Galerkin method in space and a tamed version of the exponential Euler method in time. Th…