5 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…
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…