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2020 – today
- 2026
[j17]Yige Liao, Li-Bin Liu, Xianbing Luo, Guangqing Long:
A Crank-Nicolson ultra-weak discontinuous Galerkin method for solving a unsteady singularly perturbed problem with a shift in space. Appl. Math. Lett. 172: 109736 (2026)- [j16]Huanhuan Li, Meng Li, Xianbing Luo
:
Error Analysis of BDF2 Scheme for the Boussinesq System Based on Exponential Scalar Auxiliary Variable. Comput. Methods Appl. Math. 26(1): 89-108 (2026) - [j15]Jinjun Yong, Xianbing Luo, Shuyu Sun, Changlun Ye:
An adjoint-oriented meta-auto-decode method for solving parameterized optimal control problems. Commun. Nonlinear Sci. Numer. Simul. 156: 109619 (2026) - [j14]Changlun Ye, Hai Bi, Xianbing Luo:
An unconditionally stable hybrid discontinuous Galerkin scheme for a Cahn-Hilliard phase-field model of two-phase incompressible flow with variable densities. Math. Comput. Simul. 239: 403-419 (2026) - [j13]Yuxin Zhang, Hengfei Ding, Xianbing Luo:
A maximum-preserving high-order scheme with relaxed constraints for the space-fractional Allen-Cahn equation. Math. Comput. Simul. 247: 500-522 (2026) - [i1]Wei Gong, Dongdong Liang, Xianbing Luo, Changlun Ye:
Analysis of Robin-boundary control for the Boussinesq equations. CoRR abs/2603.01600 (2026) - 2025
- [j12]Jinjun Yong, Changlun Ye, Xianbing Luo, Shuyu Sun:
Improved error estimates of ensemble Monte Carlo methods for random transient heat equations with uncertain inputs. Comput. Appl. Math. 44(1): 58 (2025) - [j11]Jinjun Yong, Changlun Ye, Xianbing Luo:
A fully discrete HDG ensemble Monte Carlo algorithm for a heat equation under uncertainty. Networks Heterog. Media 20(1): 65-88 (2025) - [j10]Yan Guo, Xianbing Luo, Changlun Ye:
A new ensemble Monte Carlo method for a parabolic optimal control problem with random coefficient. Networks Heterog. Media 20(3): 732-758 (2025) - 2024
- [j9]Yige Liao, Xianbing Luo, Li-Bin Liu:
A second order difference scheme on a Bakhvalov-type mesh for the singularly perturbed Volterra delay-integro-differential equation. Comput. Appl. Math. 43(6): 349 (2024) - [j8]Jinjun Yong, Xianbing Luo, Shuyu Sun, Changlun Ye:
Deep mixed residual method for solving PDE-constrained optimization problems. Comput. Math. Appl. 176: 510-524 (2024) - [j7]Changlun Ye, Tingfu Yao, Hai Bi, Xianbing Luo:
A variational Crank-Nicolson ensemble Monte Carlo algorithm for a heat equation under uncertainty. J. Comput. Appl. Math. 451: 116068 (2024) - [j6]Huanhuan Li, Meiling Ding, Xianbing Luo, Shuwen Xiang:
Convergence analysis of finite element approximations for a nonlinear second order hyperbolic optimal control problems. Networks Heterog. Media 19(2): 842-866 (2024) - [j5]Tingfu Yao, Changlun Ye, Xianbing Luo, Shuwen Xiang:
A variational MAX ensemble numerical algorism for a transient heat model with random inputs. Networks Heterog. Media 19(3): 1013-1037 (2024) - 2023
- [j4]Meng Li, Xianbing Luo:
An ensemble Monte Carlo HDG method for parabolic PDEs with random coefficients. Int. J. Comput. Math. 100(2): 405-421 (2023) - [j3]Tingfu Yao, Changlun Ye, Xianbing Luo, Shuwen Xiang:
An ensemble scheme for the numerical solution of a random transient heat equation with uncertain inputs. Numer. Algorithms 94(2): 643-668 (2023) - 2022
- [j2]Meng Li, Xianbing Luo:
An MLMCE-HDG method for the convection diffusion equation with random diffusivity. Comput. Math. Appl. 127: 127-143 (2022) - [j1]Meng Li, Xianbing Luo:
An EMC-HDG scheme for the convection-diffusion equation with random diffusivity. Numer. Algorithms 90(4): 1755-1776 (2022)
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