著 作（按研究方向分类）
复杂流体的数学理论
- Global Existence of Weak Solutions to the Regularized Hookean Dumbbell Model [PDF]
with Lingyun Zhang, Hui Zhang
Communications in Mathematical Sciences 6 (1): 85-124 (2008).
- 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).
- Adaptive Stroud Stochastic Collocation Method for Flow in Random Porous Media via Karhunen-Loeve Expansion [PDF]
with Yan Ding, Tiehjun Li, Dongxiao Zhang
Communications in Computational Physics, 4(1) 102-123 (2008).
- On the New Multiscale Rodlike Model of Polymeric Fluids [PDF]
with Hui Zhang
SIAM Journal on Mathematical Analysis, 40(3) 1246-1271 (2008).
- Review on Doi-Onsager Model in Polymeric Fluids
with Hui Zhang
Recent Progress in Scientific Computing,Edited by Wenbin Liu, Michael Ng and Zhong-ci Shi, 155-167(2007)
- Mathematical analysis of multi-scale models of complex fluids [PDF]
with Tiejun Li
Communications in Mathematical Sciences 5 (1): 1-51 MAR (2007).
- 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).
- Axial symmetry and classification of stationary solutions of Doi-Onsager equation on the sphere with Maier-Saupe potential [PDF]
with Hailiang Liu and Hui Zhang
Comm. Math. Sci., 3 201-218, (2005).
- The structure of equilibrium solutions of one-dimensional Doi equation [PDF]
with Chong Luo and Hui Zhang
Nonlinearity, 18, 379-389, (2005).
- Analysis of 1+1 dimensional stochastic models of liquid crystal polymer flows [PDF]
with Tiejun Li and Xiang Zhou
Comm. Math. Sci. 2，295-316, (2004).
- Stochastic models of polymeric liquids at small Deborah number [PDF]
with Weinan E, Tiejun Li and Eric Vanden-Eijnden
J. Non-Newtonian Fluid Mech. 121, 117-125, (2004).
- A theoretical and numerical study for the rod-like model of a polymeric fluid [PDF]
with Hui Zhang
Journal of Computational Mathematics 22 (2): 319-330 (2004).
- Local existence for the dumbbell model of polymeric fluids [PDF]
with Tiejun Li and Hui Zhang
Communications in PDE, 29 (5-6): 903-923 MAY-JUN (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).
- Convergence of a stochastic method for the modeling of polymeric fluids [PDF]
with Weinan E and Tiejun Li
Acta Mathematicae Applicatae Sinica, English Series, Vol. 18, 529-536, (2002).
液晶高聚物的动力学理论
- Steady states and their stability of homogeneous, rigid, extended nematic polymers under imposed magnetic fields [PDF]
with Guanghua Ji, Qi Wang,Hongyun Wang and Hong Zhou
Communications in Mathematical Sciences 5 (4): 917-950 DEC (2007).
- Stable dynamic states at the nematic liquid crystals in weak shear flow [PDF]
with Hui Zhang
Physica D-Nonlinear Phenoma 232 (2): 156-165 (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).
- Study of phase transition in homogeneous, rigid extended nematics and magnetic suspensions using an order-reduction method [PDF]
with Guanghua Ji, Qi Wang and Hong Zhou
Physics of Fluids, 18, 123103 (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)
- Numerical Simulation of Doi Model of PolymericFluids
with Ruo Li and Chong Luo
Advances in Scientific Computing and Applications, Edited by Yayan,Weiwei Sun and Tao Tang, 258-273 (2004).
- A kinetic theory for flows of nonhomogeneous rodlike liquid crystalline polymers with a nonlocal intermolecular potential [PDF]
with Qi Wang, Weinan E and Chun Liu
Physic Review E, Vol. 65, 051504 (2002).
高聚物的相分离与成核
- 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).
- 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).
生物膜的动力学模拟
- Numerical Simulation of Fluid Membranes in Two-Dimensional Space [PDF]
with Peng Song
Communications in Computational Physics, 3(4) 794-821 (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).
分子动力学
- Non-equilibrium molecular-dynamics measurement of the Leslie coefficients of a Gay-Berne nematic liquid crystal [PDF]
with Congmin Wu and Tiezheng Qian
Liquid Crystals 34 (10): 1175-1184 (2007).
基于调和映射的移动网格方法
- 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).
- A moving mesh finite element algorithm for singular problems for two and three space dimensions [PDF]
with Rou Li and Tao Tang
Journal of Computational Physics 177, 365-393, (2002).
- Zhang, Moving Mesh Finite Element Methods Based on Harmonic Maps,
with Rou Li ,Wenbin Liu and Tao Tang
Proc. of 2nd Intl. Workshop on Sci. Comput. and Appl.(P. Minev and Y. Lin eds), 143-156 (2001).
- Convergence of Moving Mesh Methods for Partial Dfferential Equations
with Tao Tang
advances in Scientiˉc Computing, Edited by Zhongci Shi etc.156-166 (2001).
- 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).
- Analysis of moving mesh methods based on geometrical variables [PDF]
with Tao Tang and Weimin Xue
J. Comp. Math. Vol. 19, No.1, 41-54 (2001)
移动网格方法的应用
- Second-order accurate Godunov scheme for multicomponent flows on moving triangular meshes [PDF]
with Guoxian Chen, Huazhong Tang
Journal of Scientific Computing Volume: 34 64-86 (2008).
- Level set calculations for incompressible two-phase flows on a dynamically adaptive grid [PDF]
with Yana Di, Ruo Li and Tao Tang
Journal of Scientific Computing 31 (1-2): 75-98 MAY (2007)
- Moving mesh methods for singular problems on a sphere using perturbed harmonic mappings [PDF]
with Yana Di, Ruo Li and Tao Tang
SIAM J. Sci. Comput., 28, 1490-1508. (2006).
- Moving mesh kinetic simulation for sheared rodlike polymers with high potential intensities [PDF]
with Yana Di
Commun. Comput. Phys., 1 859-873. (2006).
- Moving mesh finite element methods for the incompressible Navier-Stokes equations [PDF]
with Yana Di, Ruo Li and Tao Tang
SIAM Journal on Scientific Computing 26 (3): 1036-1056, (2005).
均匀化多尺度方法的理论分析
- Analysis of the heterogeneous multiscale method for parabolic homogenization problems [PDF]
with Pingbing Ming
Mathematics of Computation 76 (257): 153-177 (2007).
- 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).
三维水波问题
- Numerical simulation of 3D shallow water waves on sloping beach
with Tiejun Li
Recent progress in computational and applied PDEs (Edited by Tony Chan et al.), Kluwer Academic Publishers, 257-266, (2002).
- Stability of boundary integral method for water wave
with Zhenfu Xu
J. of Computional Math.Vol.24, No.3, 311-318 (2002).
- Numerical studies of 2D free surface waves with fixed bottom [PDF]
with Xiaoming Zheng
Journal of Computational Mathematics, Vol.20, No.4, 391-412, (2002).
- 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).
- Numerical studies of shallow water waves on slopping beach with artificial boundary
with Tiejun Li
J. of Computional Math.Vol.23, No.4 503-512 (2001).
- A new stability technique for boundary integral methods
with Thomas Y. Hou
Math. Comp. Vol. 70 No. 235, 951-976 (2001).
- On the Well-posedness of 3-D Water Wave with Surface Tension
Proceedings of Third China-Japan Seminar on Numerical Mathematics, Edited by Zhong-ci Shi and M. Mori (1999).
- Well- posedness for linearized motion of 3-D water waves far from equalibium
with Thomas Y. Hou and Zhenhuan Teng
Comm. in PDE 21 (9&10), 1551-1585, (1996).
涡片
- Singularity formulation in three-dimensional vortex sheets [PDF]
with Thomas Y. Hou and Gang Hu
Physics of Fluids, Vol.15,No.1, 147-172,(2003).
- Growth rates for the linearized motion of 3-D fluid interfaces with surface tension far from equilibrium
with Thomas Y. Hou
The Asian Journal of Mathematics, Vol.2, 2, 263-288 (1998).
守恒律方程的理论分析
- Vanishing curvature viscosity for front propagation [PDF]
with Long-an Ying
Journal of Diff. Eqs. 161, 289-306 (2000).
- Optimal L1-Rate of convergence for viscosity method and monotone scheme to piecewise constant solution with shocks [PDF]
with Zhenhuan Teng
SIAM J. Numer. Anal. Vol. 34, 3, 959-978 (1997).
涡度法的数值分析
- Convergence of vortex with boundary element methods
J. Comput. Math.15:(2) 127-137 (1997).
- Convergence of vortex methods in a bounded domain using linear finite elements
IMA J. of Numer. Anal. 16, 539-548, (1996).
- Convergence of the point vortex methods for Euler equation on half plane
J. Comp. Math. Vol. 14, No. 3, 213-222, (1996).
- Convergence of variable-elliptic-vortex method for Euler equations [PDF]
with Zhenhuan Teng and Long-an Ying
SIAM J. Numerical Anal., Vol 32 No.3, 754-774, (1995).
- On vortex methods for initial boundary problems
Northeast. Math. J., Vol. 10 No. 2, 256-266, (1994).
- Convergence of vortex methods for Exterioir problems
Chinese Annal of Math. 15A(3), 287-296, (1994).
- Fully discrete convergence estimates for vortex methods in bounded domains [PDF]
with Long-an Ying
SIAM J. Num. Anal., Vol 31, No. 2, 344-361, (1994).
粘性分裂
- A symmetrical viscous splitting schemes for Navier-Stokes equations
Numerical Mathematics, A Journal of Chinese Universities. Vol 1, No. 1, (1993).
- A family of viscous splitting schemes for Navier-Stokes equations
J. Comp. Math. Vol. 11, No.1, 20-36,(1993).
- A sharp estimate of simplified viscosity splitting scheme
J. Comp. Math., Vol 11, No. 3, 295-210, (1993).
- Exterior problem for the three-dimensional Euler equation
J. Partial Differential Equations. Vol 5, No. 3, (1992).
- Viscosity splitting with nonzero tagent boundary value
Numerical Mathematics, A Journal of Chinese Universities. Vol 14, No. 2, (1992).
- Viscous splitting for the exterioir problem of Navier-Stokes equations
Acta Scientiarum Naturalium Universitatis Pekinensis. Vol 27 No.3, (1991).
小波计算
- Wavelet method for boundary integral equations [PDF]
with Yu Zhang
J. Comput. Math.Vol.18, No.1 25-42 (2000).
- Computation of wavelet function
with Huaqi Liu and Yu Zhang
J. Comput. Math.,Vol 2 (in Chinese) 173-185, (1995).
间断 Galerkin 方法
- Reflection/Transmission Characteristics of A Discontinuous Galerkin Method for Maxwell's Equations in Dispersive Inhomogeneous Media [PDF]
with Xia Ji, Wei Cai
Journal of Computational Mathematics, 26 (3): 347-364 MAY (2008).
- Boundary Treatments in Non-Equilibrium Green's Function (NEGF) Methods for Quantum Transport in Nano-MOSFETs [PDF]
with Haiyan Jiang, Sihong Shou, Wei Cai
Journal of Computational Physics, 227 (13) 6553-6573 (2008).
- High order DGTD methods for dispersive Maxwell's equations and modeling of silver nanowire Coupling [PDF]
with Xia Ji and Wei Cai
Int. J. Numer. Meth. Engng. 69, 308-325 (2007).
- 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 Lightwave Technology 23 (11): 3864-3874 NOV (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).
- Conservative local discontinuous Galerkin methods for time dependent Schr?dinger equation [PDF]
with Tiao Lu and Wei Cai
International Journal of Numerical Analysis & Modeling Vol. 2 (1)，75-84 (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).
合金凝固
- A cellular automaton technique for modelling of a binary dendritic growth with convection [PDF]
with Daming Li and Ruo Li
Applied Mathematical Modelling 31 (6): 971-982 JUN (2007).
- A new coupled model for alloy solidification
with Daming Li and Ruo Li
Science in China series A-Mathematics, 47: pp41-52 Suppl. S APR (2004).
- Simulating A double casting technique using level set method [PDF]
with Qiang Du, Dianzhong Li, Yiyi Li and Rou Li
Computational Materials Science 22, 200-212 (2001).
工程问题
- Model analysis and parameter extraction for MOS capacitor including quantum mechanical effects [PDF]
with Haiyan Jiang
Journal of Computational Mathematics 24 (3): 401-411 MAY (2006).
- A kind of semi-roarsing AMG method for two dimensional energy equations with three temperatures
with Yingxion Xiao,Shi Shu,Zeyao Mo and Jinchao Xu
Numerical Comupting and Computer Application No.4,293-303 (2003).
- Multi-scale methods for inverse modeling in 1-D mos capacitor [PDF]
with Yi Sun,Haiyan Jiang and Wei Yao
Journal of Computational Mathematics, Vol.21,No.1, 85-100, (2003).
- A mathematical model of soil moisture spatial distribution on the hill slopes of the Loess Plateau
with Bojie Fu, Zhijian Yang and Yanglin Wang
SCIENCE IN CHINA SERIES D-EARTH SCIENCES, Volume: 44, Issue: 5, 395-402, May 2001
