2 citations · 12 across the 13 of their papers we have counts for
19 papers
An efficient and fast sparse grid algorithm for high-dimensional numerical integration
Huicong Zhong, Xiaobing Feng
This paper is concerned with developing an efficient numerical algorithm for fast implementation of the sparse grid method for computing the -dimensional integral of a given fun…
A fast multilevel dimension iteration algorithm for high dimensional numerical integration
Xiaobing Feng, Huicong Zhong
In this paper, we propose and study a fast multilevel dimension iteration (MDI) algorithm for computing arbitrary -dimensional integrals based on tensor product approximations.…
High moment and pathwise error estimates for fully discrete mixed finite element approximattions of stochastic Navier-Stokes equations with additive noise
Xiaobing Feng, Liet Vo
This paper is concerned with high moment and pathwise error estimates for fully discrete mixed finite element approximattions of stochastic Navier-Stokes equations with general add…
Fully discrete finite element methods for nonlinear stochastic elastic wave equations with multiplicative noise
Xiaobing Feng, Yukun Li, Yujian Lin
This paper is concerned with fully discrete finite element methods for approximating variational solutions of nonlinear stochastic elastic wave equations with multiplicative noise.…
An efficient multi-modes Monte Carlo homogenization method for random materials
Zihao Yang, Jizu Huang, Xiaobing Feng +1
In this paper, we propose and analyze a new stochastic homogenization method for diffusion equations with random and fast oscillatory coefficients. In the proposed method, the homo…
A narrow-stencil framework for convergent numerical approximations of fully nonlinear second order PDEs
Xiaobing Feng, Thomas Lewis, Kellie Ward
This paper develops a unified general framework for designing convergent finite difference and discontinuous Galerkin methods for approximating viscosity and regular solutions of f…