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Xiong Meng (孟 雄)
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Cited by
Year
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
1012016
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
742012
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
612017
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
372012
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
222017
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
162020
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
132020
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
122020
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
112019
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
102018
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
52021
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
52010
Superconvergence of discontinuous Galerkin methods for time-dependent partial differential equations
X Meng, QW Shu, Y Yang
Scientia Sinica Mathematica 45 (7), 1041-1060, 2015
42015
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
32020
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
22022
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
22015
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
12023
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
12022
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
12021
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, 2023
2023
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