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).