Tiejun Li, Pingwen Zhang and Xiang Zhou,
Analysis of 1+1 dimensional stochastic models of liquid
crystal polymer flows, Comm. Math. Sci. 2(2004), 295-316.
(pdf)
Tiejun Li, Hui Zhang and Pingwen Zhang,
Local existence for the dumbbell model of polymeric fluids,
Comm. PDE. 29(2004), 903-923. (pdf)
Weinan E, Tiejun Li and Pingwen Zhang,
Well-posedness for the dumbbell model of polymeric liquids,
Comm. Math. Phys. 248(2004), 409-427.(pdf)
Tiejun Li, Eric Vanden-Eijnden, Pingwen Zhang and Weinan E,
Stochastic models of polymeric liquids
at small Deborah number, J. Non-Newtonian Fluid Mech. 121(2004), 117-125.
(pdf)
H.Z. Tang, On the Sonic Point Glitch, to appear in J. Comput. Phys., 2004.
H.Z. Tang and G. Warnecke, A Runge-Kutta Discontinuous Galerkin Method for the Euler Equations, to appear in Computers $\&$ Fluids, 2004.
H.Z. Tang and G. Warnecke, A class of high resolution difference schemes for nonlinear Hamilton-Jacobi equations with varying time and space grids, to appear in SIAM J. Sci. Comput., 2004.
H.Z. Tang, T.Tang, and K. Xu, A gas-kinetic scheme for shallow-water equations with source terms, J. Appl. Math. Phys.(ZAMP), Vol.55,2004, pp.365 - 382
H.Z. Tang, Solution of the shallow--water equations using an adaptive moving mesh method, Inter. J. Numer. Methods in Fluids, 44(2004), 789-810.
H.Z. Tang and G. Warnecke, A note on (2k+1)-point conservative monotone schemes, journal Mathematical Moddeling and Numerical Analysis (M2AN), 38(2004), pp.345-358.
H.Z. Tang, Kinetic flux vector splitting for Euler equations for real gases, J. Comput. Math., 22(2004), pp.622-632.
2003年
H.Z. Tang and T. Tang, Moving mesh methods for one- and two-dimensional hyperbolic conservation laws , SIAM J. Num. Anal., 41(2003), 487-515.
H.Z. Tang, T. Tang and P.W. Zhang, An adaptive mesh redistribution method for nonlinear Hamilton-Jacobi equationsin two- and three-dimensionns, J. Comput. Phys., 188(2), 2003, pp.534-572.
H.Z. Tang and T. Tang, Multi-dimensional moving mesh methods for shock computations, Inter. Conf. on Sci. Comput. & PDEs,on the Occasion of S. Osher's 60th birthday, Dec. 12-15, 2002, Hongkong. Contemporary Mathematics, Vol.330, 2003, pp.169-183.
2002年
Weinan E, Tiejun Li and Pingwen Zhang, convergence of a stochastic
method for the modeling of polymeric fluids,
Acta Mathematicae Applicatae Sinica, English series, Vol. 18(2002), 529-536.
(pdf)
Tiejun Li and Pingwen Zhang, Numerical simulation of 3D shallow
water waves on sloping beach,
257-266,
Recent progress in computational and applied PDEs (Edited by Tony Chan et al.), Kluwer
Academic Publishers. (pdf)
H.Z. Tang and H.M. Wu, Gas-kinetic flux-vector splitting methods for multifluid flow calculation, CFD Journal, 10(4),2002, pp.542-547.
H.Z. Tang and H.M. Wu, On the convergence of implicit schemes for conservation laws, J. Comput. Math., 20(1),2002, pp.121-128.
2001年
Tiejun Li and Pingwen Zhang, Shallow water waves on sloping
beach with artificial boundary, Mathematica
Numerica Sinica 23(2001), 503-512. (in Chinese).
(pdf)
Tiejun Li and Fengshan Bai, Mininizing multi-homogeneous Bezout numbers
by a local search method,
Math. Comp. 70(2001), 767-787. (pdf)
H.Z. Tang, Nonlinear stability of the relaxing schemes for scalar conservation laws, Applied Numerical Mathematics,38(3), 2001, 347-359. See also Science@Direct
H.Z. Tang, P. Cheng, and K. Xu, Numerical simulationsof resonant oscillations in a tube, Numerical Heat Transfer,40(1),2001,37-54.
H.Z. Tang, T. Tang, and J. H. Wang, On numerical entropy inequalities for second order relaxed schemes, Quarterly of Applied Mathematics, 59(2001),391-399.
H.Z. Tang and K. Xu, Pseudoparticle representation and positivity analysis of explicit and implicit Steger--Warming FVS schemes, J. Appl. Math. Phys.(ZAMP) , 52(2001), pp.847-858.
H.Z. Tang and H.M. Wu, The relaxing schemes for Hamilton-Jacobi equations, J. Comput. Math. , 19(3), 2001,321-240.
H.Z. Tang, Gas-Kinetic Scheme for the Compressible Euler Equations of Real Gases, Computers & Mathematics with Applications, 41(2001), pp.723-734.
H.Z. Tang and H. M. Wu, On the cell entropy inequality for the fully discrete relaxing schemes, J. Comput. Math., 19(5),2001, pp.511-518.
H.Z. Tang, On the central relaxing scheme II: Systems of hyperbolic conservation laws, J. Comput. Math., 19(6), 2001, pp.571--582.
H.Z. Tang and H. M. Wu, Implicit difference scheme for a stiff system of conservation laws in viscoelasticity, Mathematica Numerica Sinica, 23(2), 2001, pp.129-138. (in Chinese)
H.Z. Tang and K. Xu, On positivity of a class of flux-vector splitting methods I. Explicit difference schemes, Mathematica Numerica Sinica, 23(4),2001, pp.469-476. (in Chinese)
