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 | 79 | 2020 |
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 | 38 | 2020 |
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 | 18 | 2018 |
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 | 14 | 2020 |
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 | 9 | 2019 |
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 | 8 | 2019 |
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 | 7 | 2016 |
A class of improved fractional physics informed neural networks H Ren, X Meng, R Liu, J Hou, Y Yu Neurocomputing 562, 126890, 2023 | 6 | 2023 |
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 | 6 | 2021 |
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 | 5 | 2023 |
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 | 4 | 2024 |
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 | 3 | 2022 |
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 | 2 | 2022 |
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 | 1 | 2024 |
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 |