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Yinhua Xia
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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
2862012
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
1662007
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
1102007
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
1092009
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
752009
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
702008
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
692006
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
502017
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
422014
Local discontinuous Galerkin methods for the generalized Zakharov system
Y Xia, Y Xu, CW Shu
Journal of Computational Physics 229 (4), 1238-1259, 2010
402010
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
342019
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
312017
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
262017
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
242012
Fourier spectral methods for Degasperis–Procesi equation with discontinuous solutions
Y Xia
Journal of Scientific Computing 61 (3), 584-603, 2014
232014
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
232013
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
232009
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
212019
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
212019
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
202015
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