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math.NA2023★ 5 cited
Central limit theorem for temporal average of backward Euler--Maruyama method
Diancong Jin
This work focuses on the temporal average of the backward Euler--Maruyama (BEM) method, which is used to approximate the ergodic limit of stochastic ordinary differential equations…
math.NA2023★ 2 cited
Asymptotics of large deviations of finite difference method for stochastic Cahn--Hilliard equation
Diancong Jin, Derui Sheng
In this work, we establish the Freidlin--Wentzell large deviations principle (LDP) of the stochastic Cahn--Hilliard equation with small noise, which implies the one-point LDP. Furt…