2 papers
math.NA2025
Pathwise uniform convergence of numerical approximations for a two-dimensional stochastic Navier-Stokes equation with no-slip boundary conditions
Binjie Li, Xiaoping Xie, Qin Zhou
This paper investigates the pathwise uniform convergence in probability of fully discrete finite-element approximations for the two-dimensional stochastic Navier-Stokes equations w…
math.NA2024
Stability and convergence of the Euler scheme for stochastic linear evolution equations in Banach spaces
Binjie Li, Xiaoping Xie
For the Euler scheme of the stochastic linear evolution equations, discrete stochastic maximal -regularity estimate is established, and a sharp error estimate in the norm $…