50 citations · 121 across the 9 of their papers we have counts for
9 papers
Long-time error analysis of finite element fully discrete schemes for SPDEs with non-globally Lipschitz coefficients
Ruisheng Qi, Xiaojie Wang
The present paper proposes new fully discrete schemes for long-time approximations of stochastic partial differential equations (SPDEs) with non-globally Lipschitz coefficients in…
Strong convergence rates of Galerkin finite element methods for SWEs with cubic polynomial nonlinearity
Ruisheng Qi, Xiaojie Wang
In the present work, strong approximation errors are analyzed for both the spatial semi-discretization and the spatio-temporal fully discretization of stochastic wave equations (SW…
Strong convergence rates of a fully discrete scheme for the Cahn-Hilliard-Cook equation
Ruisheng Qi, Meng Cai, Xiaojie Wang
The first aim of this paper is to examine existence, uniqueness and regularity for the Cahn-Hilliard-Cook (CHC) equation in space dimension . By applying a spectral Galerk…
Strong convergence rates of an explicit scheme for stochastic Cahn--Hilliard equation with additive noise
Meng Cai, Ruisheng Qi, Xiaojie Wang
In this paper, we propose and analyze an explicit time-stepping scheme for a spatial discretization of stochastic Cahn--Hilliard equation with additive noise. The fully discrete ap…
Error estimates of semi-discrete and fully discrete finite element methods for the Cahn-Hilliard-Cook equation
Ruisheng Qi, Xiaojie Wang
In two recent publications [Kov{á}cs, Larsson, and Mesforush, SIAM J. Numer. Anal. 49(6), 2407-2429, 2011] and [Furihata, et al., SIAM J. Numer. Anal. 56(2), 708-731, 2018], strong…
Optimal error estimates of Galerkin finite element methods for stochastic Allen-Cahn equation with additive noise
Ruisheng Qi, Xiaojie Wang
Strong approximation errors of both finite element semi-discretization and spatio-temporal full discretization are analyzed for the stochastic Allen-Cahn equation driven by additiv…
Sharp mean-square regularity results for SPDEs with fractional noise and optimal convergence rates for the numerical approximations
Xiaojie Wang, Ruisheng Qi, Fengze Jiang
This article offers sharp spatial and temporal mean-square regularity results for a class of semi-linear parabolic stochastic partial differential equations (SPDEs) driven by infin…
An accelerated exponential time integrator for semi-linear stochastic strongly damped wave equation with additive noise
Ruisheng Qi, Xiaojie Wang
This paper is concerned with the strong approximation of a semi-linear stochastic wave equation with strong damping, driven by additive noise. Based on a spatial discretization per…
Error estimates of finite element method for semi-linear stochastic strongly damped wave equation
Ruisheng Qi, Xiaojie Wang
In this paper, we consider a semi-linear stochastic strongly damped wave equation driven by additive Gaussian noise. Following a semigroup framework, we establish existence, unique…