A. Haseena and H. Liu (2007)
Formulation and analysis of alternating evolution (AE) schemes for hyperbolic conservation laws, Submitted to SINUM.

A. Haseena and H. Liu (2007)

A numerical study for the performance of the Runge-Kutta Finite Difference

method based on different numerical Hamiltonians, submitted to CICP.

H. Liu (2007)
An Alternating Evolution Approximation to Systems of Hyperbolic Conservation laws, submitted to JHDE.

G.-Q. Chen  and  H.L. Liu 
Concentration and Cavitation in Solutions of the Euler equations for nonisentropic fluids as the pressure vanishes Physics. D.  189 (2004), 141--165.

G.-Q. Chen  and  H.L. Liu 
Formation of Delta-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Isentropic Euler Equations SIAM J. Math Anal.  34 (2003), 925--938.

J. Pan and H.L. Liu
Convergence rates to traveling waves of viscous conservation laws with dispersion J. Diff. Equ.  187 (2003), 337--358.

 H. L. Liu
The l^1 Global Decay to Discrete Shocks for Scalar Monotone Schemes, Math. Comp. 72 (2003), 227-245

H.T.  Fan and  H.L. Liu 
Pattern Formation, Wave Propagation and Stability in Conservation Laws  with  Slow Diffusion and Fast Reaction Journal of Hyperbolic Differential Equations, 1(4) (2004) 605--626.

J. Pan, H.L. Liu
On stability of travelling waves of Burgers-Fisher equation, Ann. Differential Equations, 14 (1998), 37--47.

 H.L. Liu
Nonlinear stability of shock profiles for non-convex model equations with degenerate shock, J. Partial Differential Equations 11(1998), 209--230.

H.L. Liu and J. Wang
Asymptotic stability of stationary discrete shocks of Lax-Friedrichs scheme for non-convex conservation laws, Japan J. Indust. Appl. Math. 15 (1998), 1-16.

H.L. Liu
Asymptotic stability of shock profiles for non-convex convection diffusion equation, Appl. Math. Lett. 10 (1997), 129-134.

H.L. Liu, J. Wang
Decay rate for perturbations of stationary  discrete shocks for convex scalar conservation laws, Math. Comp. 66 (1997), 69-84.

 H. L. Liu
Asymptotic properties of solutions to nonconvex hyperbolic conservation laws(Chinese), Gaoxiao Yingyong Shuxue Xuebao Ser. A 11 (1996), 277--282.

 H.L. Liu, J. Wang
Asymptotic stability of traveling wave solution for a hyperbolic system with relaxation terms, Beijing Math. 2 (1996), 119-130.

 H. L. Liu, J. Wang
Nonlinear stability of stationary discrete profiles of non-convex scalar conservation laws, Math. Comp. 65 (1996), 1137-1153.

 H. Liu and J. Pan
Decay rate for perturbations of viscous shock profiles for non-convex convection-diffusion equation, Appl. Functional Anal. 2 (1995), 171-176.

H. L. Liu
The interactions of shock waves of nonstrictly hyperbolic systems, Acta Math. Scientia, 12 (1992), 312-336.