An MLMCE-HDG method for the convection diffusion equation with random diffusivity. - Meng Li; Xianbing Luo (Comput. Math. Appl., 2022)

An EMC-HDG scheme for the convection-diffusion equation with random diffusivity. - Meng Li; Xianbing Luo (Numer. Algorithms, 2022)

An ensemble Monte Carlo HDG method for parabolic PDEs with random coefficients. - Meng Li; Xianbing Luo (Int. J. Comput. Math., 2023)

An ensemble scheme for the numerical solution of a random transient heat equation with uncertain inputs. - Tingfu Yao; Changlun Ye; Xianbing Luo; Shuwen Xiang (Numer. Algorithms, 2023)

Deep mixed residual method for solving PDE-constrained optimization problems. - Jinjun Yong; Xianbing Luo; Shuyu Sun 001; Changlun Ye (Comput. Math. Appl., 2024)

A variational Crank-Nicolson ensemble Monte Carlo algorithm for a heat equation under uncertainty. - Changlun Ye; Tingfu Yao; Hai Bi; Xianbing Luo (J. Comput. Appl. Math., 2024)

Convergence analysis of finite element approximations for a nonlinear second order hyperbolic optimal control problems. - Huanhuan Li; Meiling Ding; Xianbing Luo; Shuwen Xiang (Networks Heterog. Media, 2024)

A variational MAX ensemble numerical algorism for a transient heat model with random inputs. - Tingfu Yao; Changlun Ye; Xianbing Luo; Shuwen Xiang (Networks Heterog. Media, 2024)

A second order difference scheme on a Bakhvalov-type mesh for the singularly perturbed Volterra delay-integro-differential equation. - Yige Liao; Xianbing Luo; Li-Bin Liu (Comput. Appl. Math., 2024)

Improved error estimates of ensemble Monte Carlo methods for random transient heat equations with uncertain inputs. - Jinjun Yong; Changlun Ye; Xianbing Luo; Shuyu Sun 001 (Comput. Appl. Math., 2025)

An unconditionally stable hybrid discontinuous Galerkin scheme for a Cahn-Hilliard phase-field model of two-phase incompressible flow with variable densities. - Changlun Ye; Hai Bi; Xianbing Luo (Math. Comput. Simul., 2026)