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math.NA2023★ 1 cited
Energy regularized models for logarithmic SPDEs and their numerical approximations
Jianbo Cui, Dianming Hou, Zhonghua Qiao
Understanding the properties of the stochastic phase field models is crucial to model processes in several practical applications, such as soft matters and phase separation in rand…
math.NA2022★ 5 cited
Semi-implicit energy-preserving numerical schemes for stochastic wave equation via SAV approach
Jianbo Cui, Jialin Hong, Liying Sun
In this paper, we propose and analyze semi-implicit numerical schemes for the stochastic wave equation (SWE) with general nonlinearity and multiplicative noise. These numerical sch…
math.NA2021★ 2 cited
Explicit Numerical Methods for High Dimensional Stochastic Nonlinear Schrödinger Equation: Divergence, Regularity and Convergence
Jianbo Cui
This paper focuses on the construction and analysis of explicit numerical methods of high dimensional stochastic nonlinear Schrodinger equations (SNLSEs). We first prove that the c…