Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes X Zhang, Y Xia, CW Shu Journal of Scientific Computing 50 (1), 29-62, 2012 | 286 | 2012 |
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 | 166 | 2007 |
Efficient time discretization for local discontinuous Galerkin methods Y Xia, Y Xu, C Shu Discrete and Continuous Dynamical Systems Series B 8 (3), 677, 2007 | 110 | 2007 |
Dynamic continuum pedestrian flow model with memory effect Y Xia, SC Wong, CW Shu Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 79 (6 …, 2009 | 109 | 2009 |
Application of the local discontinuous Galerkin method for the Allen-Cahn/Cahn-Hilliard system Y Xia, Y Xu, CW Shu a∈ A 1, 2N, 2009 | 75 | 2009 |
An efficient discontinuous Galerkin method on triangular meshes for a pedestrian flow model Y Xia, SC Wong, M Zhang, CW Shu, WHK Lam International Journal for Numerical Methods in Engineering 76 (3), 337-350, 2008 | 70 | 2008 |
Evolution of nonlinear dust-ion-acoustic waves in an inhomogeneous plasma D Xiao, JX Ma, Y Li, Y Xia, MY Yu Physics of plasmas 13 (5), 2006 | 69 | 2006 |
Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws: analysis and application in one dimension C Klingenberg, G Schnücke, Y Xia Mathematics of Computation 86 (305), 1203-1232, 2017 | 50 | 2017 |
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 | 42 | 2014 |
Local discontinuous Galerkin methods for the generalized Zakharov system Y Xia, Y Xu, CW Shu Journal of Computational Physics 229 (4), 1238-1259, 2010 | 40 | 2010 |
Positivity preserving limiters for time-implicit higher order accurate discontinuous Galerkin discretizations JJW van der Vegt, Y Xia, Y Xu SIAM journal on scientific computing 41 (3), A2037-A2063, 2019 | 34 | 2019 |
Semi-implicit spectral deferred correction methods for highly nonlinear partial differential equations R Guo, Y Xia, Y Xu Journal of Computational Physics 338, 269-284, 2017 | 31 | 2017 |
An arbitrary Lagrangian–Eulerian local discontinuous Galerkin method for Hamilton–Jacobi equations C Klingenberg, G Schnücke, Y Xia Journal of Scientific Computing 73, 906-942, 2017 | 26 | 2017 |
Empirical evidence for the look-ahead behavior of pedestrians in bi-directional flows RY Guo, SC Wong, YH Xia, HJ Huang, WHK Lam, K Choi Chinese Physics Letters 29 (6), 068901, 2012 | 24 | 2012 |
Fourier spectral methods for Degasperis–Procesi equation with discontinuous solutions Y Xia Journal of Scientific Computing 61 (3), 584-603, 2014 | 23 | 2014 |
Turbulence in the intergalactic medium: solenoidal and dilatational motions and the impact of numerical viscosity W Zhu, L Feng, Y Xia, CW Shu, Q Gu, LZ Fang The Astrophysical Journal 777 (1), 48, 2013 | 23 | 2013 |
Dynamic continuum model for bi-directional pedestrian flows L Huang, Y Xia, SC Wong, CW Shu, M Zhang, WHK Lam Proceedings of the Institution of Civil Engineers-Engineering and …, 2009 | 23 | 2009 |
Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws on moving simplex meshes P Fu, G Schnücke, Y Xia Mathematics of Computation 88 (319), 2221-2255, 2019 | 21 | 2019 |
Conservative and dissipative local discontinuous Galerkin methods for Korteweg–de Vries type equations Q Zhang, Y Xia Commun. Comput. Phys. 25 (2), 532-563, 2019 | 21 | 2019 |
A fully discrete stable discontinuous Galerkin method for the thin film epitaxy problem without slope selection Y Xia Journal of Computational Physics 280, 248-260, 2015 | 20 | 2015 |