| Local discontinuous Galerkin methods for nonlinear Schrödinger equations Y Xu, CW Shu Journal of Computational Physics 205 (1), 72-97, 2005 | 259 | 2005 |
| 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 | 253 | 2010 |
| 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 | 167 | 2006 |
| 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 | 156 | 2007 |
| A local discontinuous Galerkin method for the Camassa–Holm equation Y Xu, CW Shu SIAM Journal on Numerical Analysis 46 (4), 1998-2021, 2008 | 133 | 2008 |
| 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 | 133 | 2007 |
| 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 | 103 | 2005 |
| 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 | 99 | 2012 |
| 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 | 99 | 2007 |
| Local discontinuous Galerkin methods for three classes of nonlinear wave equations Y Xu, C Shu Journal of Computational Mathematics, 250-274, 2004 | 83 | 2004 |
| 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 | 70 | 2009 |
| 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 | 51 | 2012 |
| 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 | 40 | 2016 |
| Energy conserving local discontinuous Galerkin methods for the nonlinear Schrodinger equation with wave operator L Guo, Y Xu Journal of Scientific Computing 65, 622-647., 2015 | 40 | 2015 |
| Space–time discontinuous Galerkin method for nonlinear water waves JJW van der Vegt, Y Xu Journal of computational physics 224 (1), 17-39, 2007 | 40 | 2007 |
| Local discontinuous Galerkin methods for the generalized Zakharov system Y Xia, Y Xu, CW Shu Journal of Computational Physics 229 (4), 1238-1259, 2010 | 38 | 2010 |
| 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 | 37 | 2014 |
| Efficient Solvers of Discontinuous Galerkin Discretization for the Cahn–Hilliard Equations R Guo, Y Xu Journal of Scientific Computing 58, 380-408, 2014 | 37 | 2014 |
| Local discontinuous Galerkin methods for the Degasperis-Procesi equation Y Xu, CW Shu Communications in Computational Physics 10 (2), 474-508, 2011 | 36 | 2011 |
| 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 | 33 | 2013 |
Chi-Wang ShuBrown UniversityVerified email at brown.edu
