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math.NA2022
An adaptive time-stepping fully discrete scheme for stochastic NLS equation: Strong convergence and numerical asymptotics
Chuchu Chen, Tonghe Dang, Jialin Hong
In this paper, we propose and analyze an adaptive time-stepping fully discrete scheme which possesses the optimal strong convergence order for the stochastic nonlinear Schrödinger…
math.NA2022
Ergodic numerical approximations for stochastic Maxwell equations
Chuchu Chen, Jialin Hong, Lihai Ji +1
In this paper, we propose a novel kind of numerical approximations to inherit the ergodicity of stochastic Maxwell equations. The key to proving the ergodicity lies in the uniform…
math.NA2022
Stochastic asymptotical regularization for linear inverse problems
Ye Zhang, Chuchu Chen
We introduce Stochastic Asymptotical Regularization (SAR) methods for the uncertainty quantification of the stable approximate solution of ill-posed linear-operator equations, whic…