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Xiangyun Meng
Xiangyun Meng
Verifierad e-postadress på bjtu.edu.cn
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Error analysis for a fractional-derivative parabolic problem on quasi-graded meshes using barrier functions
N Kopteva, X Meng
SIAM Journal on Numerical Analysis 58 (2), 1217-1238, 2020
792020
Error analysis of a finite difference method on graded meshes for a multiterm time-fractional initial-boundary value problem
C Huang, X Liu, X Meng, M Stynes
Computational Methods in Applied Mathematics 20 (4), 815-825, 2020
382020
The Green's function and a maximum principle for a Caputo two-point boundary value problem with a convection term
X Meng, M Stynes
Journal of Mathematical Analysis and Applications 461 (1), 198-218, 2018
182018
Barrier function local and global analysis of an L1 finite element method for a multiterm time-fractional initial-boundary value problem
X Meng, M Stynes
Journal of Scientific Computing 84 (1), 5, 2020
142020
Green’s functions, positive solutions, and a Lyapunov inequality for a Caputo fractional-derivative boundary value problem
X Meng, M Stynes
Fractional Calculus and Applied Analysis 22 (3), 750-766, 2019
92019
Convergence analysis of the Adini element on a Shishkin mesh for a singularly perturbed fourth-order problem in two dimensions
X Meng, M Stynes
Advances in Computational Mathematics 45, 1105-1128, 2019
82019
Convergence analysis of the rectangular Morley element scheme for second order problem in arbitrary dimensions
XY Meng, XQ Yang, S Zhang
Science China Mathematics 59, 2245-2264, 2016
72016
A class of improved fractional physics informed neural networks
H Ren, X Meng, R Liu, J Hou, Y Yu
Neurocomputing 562, 126890, 2023
62023
The finite volume element method on the Shishkin mesh for a singularly perturbed reaction–diffusion problem
Y Wang, X Meng, Y Li
Computers & Mathematics with Applications 84, 112-127, 2021
62021
Energy-norm and balanced-norm supercloseness error analysis of a finite volume method on Shishkin meshes for singularly perturbed reaction–diffusion problems
X Meng, M Stynes
Calcolo 60 (3), 40, 2023
52023
An upwind finite volume element method on a Shishkin mesh for singularly perturbed convection–diffusion problems
Y Wang, Y Li, X Meng
Journal of Computational and Applied Mathematics 438, 115493, 2024
42024
The Bogner-Fox-Schmit element finite volume methods on the Shishkin mesh for fourth-order singularly perturbed elliptic problems
Y Wang, X Meng, Y Li
Journal of Scientific Computing 93 (1), 4, 2022
32022
Balanced-norm and energy-norm error analyses for a backward Euler/FEM solving a singularly perturbed parabolic reaction-diffusion problem
X Meng, M Stynes
Journal of Scientific Computing 92 (2), 67, 2022
22022
Balanced and energy norm error bounds for a spatial FEM with Crank-Nicolson and BDF2 time discretisation applied to a singularly perturbed reaction-diffusion problem
X Meng, M Stynes
Numerical Algorithms 95 (3), 1155-1176, 2024
12024
Convergence analysis of a weak Galerkin finite element method on a Shishkin mesh for a singularly perturbed fourth-order problem in 2D
S Liu, X Meng, Q Zhai
Journal of Computational and Applied Mathematics 457, 116324, 2025
2025
Convergence analysis of a weak Galerkin finite element method on a Bakhvalov-type mesh for a singularly perturbed convection-diffusion equation in 2D
S Liu, X Meng, Q Zhai
arXiv preprint arXiv:2405.15136, 2024
2024
Local analysis of L1-finite difference method on graded meshes for multi-term two-dimensional time-fractional initial-boundary value problem with Neumann boundary conditions
J Hou, Y Yu, J Wang, H Ren, X Meng
Computers & Mathematics with Applications 157, 209-214, 2024
2024
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Artiklar 1–17