Crucial Properties of the Moment Closure Model FENE-QE [PDF]
with Han Wang, Kun Li
Journal of Non-Newtonian Fluid Mechanics, 150(2-3), 80-92 (2008).
An Efficient Numerical Method of Landau-Brazovskii Model [PDF]
with Xinwei Zhang
Journal of Computational Physics, 227 (11) 5859-5870 (2008).
Numerical Simulation of Phase Separation Coupled with Crystallization [PDF]
with Dongzhuo Zhou, An-Chang Shi
Journal of Chemical Physics, Volume: 129 Issue: 15 (2008).
Continuum theory of a moving membrane [PDF]
with Dan Hu and Weinan E
Physical Review E 75 (4): Art. No. 041605 Part 1 APR (2007)
A kinetic-hydrodynamic simulation of microstructure of liquid crystal polymers in plane shear flow [PDF]
with Haijun Yu
Journal of Non-Newtonian Fluid Mechanics 141(2-3): 116-127 FEB 15 (2007)
Mathematical analysis of multi-scale models of complex fluids [PDF]
with Tiejun Li
Communications in Mathematical Sciences 5 (1): 1-51 MAR (2007)
Analysis of the heterogeneous multiscale method for parabolic homogenization problems [PDF]
with Pingbing Ming
Mathematics of Computation 76 (257): 153-177 (2007)
Moving mesh methods for singular problems on a sphere using perturbed harmonic mappings [PDF]
with Yana Di, Ruo Li and Tao Tang
SIAM Journal on Scientific Computing, 28, 1490-1508. (2006)
Modified models of polymer phase separation [PDF]
with Douglas Zhou and Weinan E
Physical Review E 73 (6): Art. No. 061801 Part 1 JUN (2006)
A Molecular Kinetic Theory of Inhomogeneous Liquid Crystal Flow and the Small Deborah Number Limit [PDF]
with Weinan E
Methods and Applications of Analysis Vol. 13, No. 2, 181-198, JUN (2006)
Local existence for the FENE-dumbbell model of polymeric fluids [PDF]
with Hui Zhang
Archive for Rational Mechanics and Analysis 181 (2): 373-400 JUL (2006)
Convergence analysis of BCF method for Hookean dumbbell model with finite difference scheme [PDF]
with Tiejun Li
Multiscale Modeling & Simulation 5 (1): 205-234(2006)
Discontinuous Galerkin time domain (DGTD)methods for the study of 2-D waveguide-coupled microring resonators [PDF]
with Xia Ji, Tiao Lu T and Wei Cai
Journal of Light-wave Technology 23 (11): 3864-3874 (2005)
Axial symmetry and classification of stationary solutions of Doi-Onsager equation on the sphere with Maier-Saupe potentia [PDF]
with Hailiang Liu and Hui Zhang
Communications in Mathematical Sciences, 3 201-218, (2005)
Discontinuous Galerkin time-domain method for GPR simulation in dispersive media [PDF]
with Tiao Lu and Wei Cai
IEEE Transactions on Geoscience and Remote Sensing 43 (1): 72-80, (2005)
Analysis of the heterogeneous multiscale method for elliptic homogenization problems [PDF]
with Weinan E and Pingbing Ming
Journal of the American Mathematical Society 18 (1): 121-156, (2005)
The structure of equilibrium solutions of one-dimensional Doi equation [PDF]
with Chong Luo and Hui Zhang
Nonlinearity, 18, 379-389, (2005)
Discontinuous Galerkin methods for dispersive and lossy Maxwell's equations and PML boundary conditions [PDF]
with Tiao Lu and Wei Cai
Journal of Computational Physics 200 (2): 549-580, (2004)
Local existence for the dumbbell model of polymeric fluids [PDF]
with Tiejun Li and Hui Zhang
Communications in Partial Differential Equations 29 (5-6): 903-923, (2004)
Well-posedness for the dumbbell model of polymeric fluids [PDF]
with Weinan E and Tiejun Li
Communications in Mathematical Physics 248 (2): 409-427, (2004)
An adaptive mesh redistribution method for nonlinear hamiltonian-jacobi equations in two- and three dimensions [PDF]
with Huazhong Tang and Tao Tang
Journal of Computational Physics, Vol 188/2 543 - 572, (2003)
Convergence of a boundary integral method for 3-D water waves
with Thomas Y. Hou
Discrete and Continuous Dynamical Systems Series B Vol. 2, Number 1, 1-34 (2002).
A Moving Mesh Finite Element Algorithm for Singular Problems for Two and Three Space Dimensions [PDF]
with Rou Li and Tao Tang
Journal Computational Physics 177,365-393 (2002).
Moving Mesh Methods in Multiple Dimensions Based on Harmonic Maps [PDF]
with Rou Li and Tao Tang
Journal of Computational Physics 170, 562-588 (2001).
Optimal L1 Rate of Convergence for Viscosity Method and Monotone Scheme to Piecewise Constant Solution with Shocks [PDF]
with Zhenhuan Teng
SIAM Journal on Numerical Analysis , Vol. 34, 3, 959-978 (1997).
Well-posedness for linearized motion of 3-D water waves far from equilibrium
with Thomas Y. Hou and Zhenhuan Teng
Communications in Partial Differential Equations, 21 (9&10), 1551-1585, (1996).
Convergence of variable-elliptic-vortex method for Euler equations [PDF]
with Zhenhuan Teng and Long-an Ying
SIAM Journal on Numerical Analysis, Vol 32 No. 3, 754-774, (1995).
Fully discrete convergence estimates for vortex methods in bounded domains [PDF]
with Long-an Ying
SIAM Journal on Numerical Analysis, Vol 31, No. 2, 344-361,(1994).