2 citations · 3 across the 7 of their papers we have counts for
7 papers
A dynamic domain semi-Lagrangian method for stochastic Vlasov equations
Jianbo Cui, Derui Sheng, Chenhui Zhang +1
We propose a dynamic domain semi-Lagrangian method for stochastic Vlasov equations driven by transport noises, which arise in plasma physics and astrophysics. This method combines…
Long-time dynamics of stochastic wave equation with dissipative damping and its full discretization: exponential ergodicity and strong law of large numbers
Meng Cai, Chuchu Chen, Jialin Hong +1
For stochastic wave equation, when the dissipative damping is a non-globally Lipschitz function of the velocity, there are few results on the long-time dynamics, in particular, the…
Hitting properties of generalized fractional kinetic equation with time-fractional noise
Derui Sheng, Tau Zhou
This paper studies hitting properties for the system of generalized fractional kinetic equations driven by Gaussian noise fractional in time and white or colored in space. We deriv…
Central limit theorem for full discretization of parabolic SPDE
Chuchu Chen, Tonghe Dang, Jialin Hong +1
In order to characterize the fluctuation between the ergodic limit and the time-averaging estimator of a full discretization in a quantitative way, we establish a central limit the…
Strong error analysis of Euler methods for overdamped generalized Langevin equations with fractional noise: Nonlinear case
Xinjie Dai, Jialin Hong, Derui Sheng +1
This paper considers the strong error analysis of the Euler and fast Euler methods for nonlinear overdamped generalized Langevin equations driven by the fractional noise. The main…
Large deviations principle for stochastic delay differential equations with super-linearly growing coefficients
Diancong Jin, Ziheng Chen, Tau Zhou
We utilize the weak convergence method to establish the Freidlin--Wentzell large deviations principle (LDP) for stochastic delay differential equations (SDDEs) with super-linearly…
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.…