Yan Xu
Title
Cited by
Cited by
Year
Local Discontinuous Galerkin Methods for High-Order Time-Dependent Partial Differential Equations
Y Xu, CW Shu
Communications in Computational Physics 7 (1), 1-46, 2010
197*2010
Local discontinuous Galerkin methods for nonlinear Schrödinger equations
Y Xu, CW Shu
Journal of Computational Physics 205 (1), 72-97, 2005
1932005
Local discontinuous Galerkin methods for the Kuramoto–Sivashinsky equations and the Ito-type coupled KdV equations
Y Xu, CW Shu
Computer Methods in Applied Mechanics and Engineering 195 (25), 3430-3447, 2006
1222006
Local discontinuous Galerkin methods for the Cahn–Hilliard type equations
Y Xia, Y Xu, CW Shu
Journal of Computational Physics 227 (1), 472-491, 2007
1182007
A local discontinuous Galerkin method for the Camassa–Holm equation
Y Xu, CW Shu
SIAM Journal on Numerical Analysis 46 (4), 1998-2021, 2008
1072008
Error estimates of the semi-discrete local discontinuous Galerkin method for nonlinear convection–diffusion and KdV equations
Y Xu, CW Shu
Computer Methods in Applied Mechanics and Engineering 196 (37), 3805-3822, 2007
932007
Efficient time discretization for local discontinuous Galerkin methods
Y Xia, Y Xu, C Shu
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES B 8 (3), 677-693, 2007
822007
Local discontinuous Galerkin methods for two classes of two-dimensional nonlinear wave equations
Y Xu, CW Shu
Physica D: Nonlinear Phenomena 208 (1-2), 21-58, 2005
802005
Local discontinuous Galerkin methods for three classes of nonlinear wave equations
Y Xu, C Shu
Journal of Computational Mathematics, 250-274, 2004
672004
Optimal error estimates of the semidiscrete local discontinuous Galerkin methods for high order wave equations
Y Xu, CW Shu
SIAM Journal on Numerical Analysis 50 (1), 79-104, 2012
632012
Application of the local discontinuous Galerkin method for the Allen-Cahn/Cahn-Hilliard system
Y Xia, Y Xu, CW Shu
Communications in Computational Physics 5, 821-835, 2009
472009
Accuracy-enhancement of discontinuous Galerkin solutions for convection-diffusion equations in multiple-dimensions
L Ji, Y Xu, J K. Ryan
Mathematics of Computation 81 (280), 1929-1950, 2012
402012
Local discontinuous Galerkin methods for the Degasperis-Procesi equation
Y Xu, CW Shu
Communications in Computational Physics 10 (2), 474-508, 2011
302011
Efficient Solvers of Discontinuous Galerkin Discretization for the Cahn–Hilliard Equations
R Guo, Y Xu
Journal of Scientific Computing 58, 380-408, 2014
282014
Space–time discontinuous Galerkin method for nonlinear water waves
JJW van der Vegt, Y Xu
Journal of computational physics 224 (1), 17-39, 2007
282007
Local discontinuous Galerkin methods for the generalized Zakharov system
Y Xia, Y Xu, CW Shu
Journal of Computational Physics 229 (4), 1238-1259, 2010
252010
Negative order norm estimates for nonlinear hyperbolic conservation laws
L Ji, Y Xu, JK Ryan
Journal of Scientific Computing 54 (2-3), 531-548, 2013
232013
Local discontinuous Galerkin method for the Hunter–Saxton equation and its zero-viscosity and zero-dispersion limits
Y Xu, CW Shu
SIAM Journal on Scientific Computing 31 (2), 1249-1268, 2009
202009
An efficient fully-discrete local discontinuous Galerkin method for the Cahn-Hilliard-Hele-Shaw system
R Guo, Y Xia, Y Xu
Journal of Computational Physics 264, 23-40, 2014
192014
Local discontinuous Galerkin method and high order semi-implicit scheme for the phase field crystal equation
R Guo, Y Xu
SIAM Journal on Scientific Computing 38 (1), A105-A127, 2016
182016
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