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math.NA2021★ 2 cited
Influences of Numerical Discretizations on Hitting Probabilities for Linear Stochastic Parabolic System
Chuchu Chen, Jialin Hong, Derui Sheng
This paper investigates the influences of standard numerical discretizations on hitting probabilities for linear stochastic parabolic system driven by space-time white noises. We e…
math.NA2021
A splitting semi-implicit method for stochastic incompressible Euler equations on
Jialin Hong, Derui Sheng, Tau Zhou
The main difficulty in studying numerical method for stochastic evolution equations (SEEs) lies in the treatment of the time discretization (J. Printems. [ESAIM Math. Model. Numer.…
math.PR2021★ 4 cited
Convergence analysis for minimum action methods coupled with a finite difference method
Jialin Hong, Diancong Jin, Derui Sheng
The minimum action method (MAM) is an effective approach to numerically solving minimums and minimizers of Freidlin--Wentzell (F-W) action functionals, which is used to study the m…