A fully discrete augmented SAV scheme for the stochastic Allen-Cahn equation with multiplicative noise achieves optimal strong convergence order, with squared L2 and H1 errors bounded by C_delta(tau^{1-delta} + h^2).
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Strong error estimates for a fully discrete SAV scheme for the stochastic Allen--Cahn equation with multiplicative noise
A fully discrete augmented SAV scheme for the stochastic Allen-Cahn equation with multiplicative noise achieves optimal strong convergence order, with squared L2 and H1 errors bounded by C_delta(tau^{1-delta} + h^2).