Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations X Meng, CW Shu, B Wu Mathematics of Computation 85 (299), 1225-1261, 2016 | 110 | 2016 |
Superconvergence of discontinuous Galerkin methods for scalar nonlinear conservation laws in one space dimension X Meng, CW Shu, Q Zhang, B Wu SIAM Journal on Numerical Analysis 50 (5), 2336-2356, 2012 | 75 | 2012 |
Application of generalized Gauss–Radau projections for the local discontinuous Galerkin method for linear convection-diffusion equations Y Cheng, X Meng, Q Zhang Mathematics of Computation 86 (305), 1233-1267, 2017 | 71 | 2017 |
Superconvergence of the local discontinuous Galerkin method for linear fourth-order time-dependent problems in one space dimension X Meng, CW Shu, B Wu IMA Journal of Numerical Analysis 32 (4), 1294-1328, 2012 | 39 | 2012 |
Discontinuous Galerkin methods for nonlinear scalar hyperbolic conservation laws: divided difference estimates and accuracy enhancement X Meng, JK Ryan Numerische mathematik 136, 27-73, 2017 | 23 | 2017 |
Superconvergence analysis of the Runge–Kutta discontinuous Galerkin methods for a linear hyperbolic equation Y Xu, X Meng, CW Shu, Q Zhang Journal of Scientific Computing 84 (1), 23, 2020 | 21 | 2020 |
Analysis of local discontinuous Galerkin methods with generalized numerical fluxes for linearized KdV equations J Li, D Zhang, X Meng, B Wu Mathematics of Computation 89 (325), 2085-2111, 2020 | 18 | 2020 |
Discontinuous Galerkin Methods for Nonlinear Scalar Conservation Laws: Generalized Local Lax--Friedrichs Numerical Fluxes J Li, D Zhang, X Meng, B Wu, Q Zhang SIAM Journal on Numerical Analysis 58 (1), 1-20, 2020 | 15 | 2020 |
Analysis of discontinuous Galerkin methods with upwind-biased fluxes for one dimensional linear hyperbolic equations with degenerate variable coefficients J Li, D Zhang, X Meng, B Wu Journal of Scientific Computing 78, 1305-1328, 2019 | 11 | 2019 |
Divided difference estimates and accuracy enhancement of discontinuous Galerkin methods for nonlinear symmetric systems of hyperbolic conservation laws X Meng, JK Ryan IMA Journal of Numerical Analysis 38 (1), 125-155, 2018 | 10 | 2018 |
Superconvergence of local discontinuous Galerkin methods with generalized alternating fluxes for 1D linear convection-diffusion equations X Liu, D Zhang, X Meng, B Wu Science China Mathematics 64, 1305-1320, 2021 | 9 | 2021 |
Superconvergence of discontinuous Galerkin methods for time-dependent partial differential equations X Meng, CW Shu, Y Yang Sci. Sin. Math 45, 1041-1060, 2015 | 5 | 2015 |
求解双曲守恒律方程的高阶 TVD 格式 毕卉, 孟雄, 孙阳 哈尔滨理工大学学报 15 (3), 54-57, 2010 | 5 | 2010 |
A local discontinuous Galerkin method with generalized alternating fluxes for 2D nonlinear Schrödinger equations H Zhang, B Wu, X Meng Communications on Applied Mathematics and Computation, 1-24, 2022 | 4 | 2022 |
Optimal error estimates of the discontinuous Galerkin method with upwind-biased fluxes for 2D linear variable coefficients hyperbolic equations M Liu, B Wu, X Meng Journal of Scientific Computing 83 (1), 9, 2020 | 3 | 2020 |
Analysis of the local discontinuous galerkin method with generalized fluxes for one-dimensional nonlinear convection-diffusion systems H Zhang, B Wu, X Meng Science China Mathematics 66 (11), 2641-2664, 2023 | 2 | 2023 |
Analysis of the local discontinuous Galerkin method with generalized fluxes for 1D nonlinear convection-diffusion systems H Zhang, B Wu, X Meng arXiv preprint arXiv:2209.03604, 2022 | 2 | 2022 |
发展型偏微分方程间断有限元方法的超收敛性 献给林群教授 80 华诞 孟雄, 舒其望, 杨扬 中国科学: 数学, 1041-1060, 2015 | 2 | 2015 |
Optimal error estimates of the local discontinuous Galerkin method with generalized numerical fluxes for one-dimensional KdV type equations H Zhang, X Meng, D Zhang, B Wu Journal of Computational Mathematics 43 (1), 63-88, 2025 | 1 | 2025 |
Superconvergence of the local discontinuous Galerkin method for one dimensional nonlinear convection-diffusion equations X Liu, D Zhang, X Meng, B Wu Journal of Scientific Computing 87 (1), 39, 2021 | 1 | 2021 |