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math.NA2021★ 5 cited
Weak convergence of the backward Euler method for stochastic Cahn--Hilliard equation with additive noise
Meng Cai, Siqing Gan, Yaozhong Hu
We prove a weak rate of convergence of a fully discrete scheme for stochastic Cahn--Hilliard equation with additive noise, where the spectral Galerkin method is used in space and t…
math.NA2021★ 1 cited
First order strong approximation of Ait-Sahalia-type interest rate model with Poisson jumps
Ziyi Lei, Siqing Gan, Jing Liu
For Ait-Sahalia-type interest rate model with Poisson jumps, we are interested in strong convergence of a novel time-stepping method, called transformed jump-adapted backward Euler…