Hyperbolic conservation laws

A robust high-order residual distribution type scheme for steady Euler equations on unstructured grids
G.-H. Hu, R. Li, and T. Tang ..... J. Comput. Phys. 229 (2010), pp. 1681-1697. (pdf)

Regularity and global structure of solutions to Hamilton-Jacobi equations I. Convex Hamiltonian
Yinchuan Zhao, Tao Tang and Jinghua Wang ..... J. Hyper. Diff. Eqn. 5 (2008), pp. 663-680. (pdf)

Superconvergence of monotone difference schemes for piecewise smooth solutions of convex conservation laws
T. Tang and Z.-H. Teng ..... Hokkaido Math. J., 36 (2007), pp. 849-874. (pdf)

On the piecewise smoothness of entropy solutions to scalar conservation laws for a large class of initial data.
T. Tang, J. Wang and Y. Zhao ..... J. Hyper. Diff. Eqn., 4 (2007), pp. 369-389. (pdf)

A gas-kinetic scheme for shallow-water equations with source terms
H.-Z. Tang, T. Tang and K. Xu, ..... Z. Angew. Math. Phys., 55 (2004), pp. 365-382.(pdf)

Adaptive mesh methods for one- and two-dimensional hyperbolic conservation laws.
H.-Z. Tang and T. Tang, ..... SIAM J. Numer. Anal., 41 (2003), pp. 487-515. (ps.gz) (pdf)

Multi-dimensional moving mesh methods for shock computations
H.-Z. Tang and T. Tang, ..... Proceedings of the International Conference on Scientific Computing and Partial Differential Equations, 2002; Contemporary Mathematics, 330 (2003), pp. 169-183. (pdf)

An adaptive mesh redistribution method for nonlinear Hamilton-Jacobi equations in two- and three-dimensions.
H.-Z. Tang, T. Tang and P.-W. Zhang ..... J. Comput. Phys., 188/2 (2003), pp. 543-572. (pdf)

Fractional rate of convergence for viscous approximation to nonconvex conservation laws.
T. Tang, Z.-H. Teng and Z.-P. Xin ..... SIAM J. Math. Anal., 35 (2003), pp. 98-122. (ps.gz) (pdf)

Error estimates for approximate solutions for nonlinear scalar conservation laws
Tao Tang ... Proc. of 8th Int. Conf. Hyperbolic Problems (Magdeburg, Germany, 2000), pp.873-882 (2001). (ps) (pdf)

Convergence analysis of relaxation schemes for conservation laws with stiff source terms
Tao Tang, Zhen-Huan Teng, and Jinghua Wang ... Methods and Applications of Analysis, 8 (2001), pp. 667-680. (ps) (pdf)

On the regularity of approximate solutions to conservation laws with piecewise smooth solutions
Tao Tang and Z.-H. Teng ..... SIAM J. Numer. Anal., 38 (2000), pp. 1483-1495 (ps.gz) (pdf)

On the piecewisely smooth solutions to non-homogeneous scalar conservation laws
Yan-Xiang Kan, T. Tang, and Zhen-Huan Teng, ..... J. Differential Equations, 175 (2001), pp. 27-50. (pdf)

Convergence of MUSCL relaxing schemes to the relaxed schemes for conservation laws with stiff source terms
Tao Tang and J. -H. Wang ..... J. Sci. Comput., 15 (2000), pp. 173-196. (ps)

On Numerical Entropy Inequalities for a Class of Relaxed Schemes
H.-Z. Tang, T. Tang and J. H. Wang ..... Quartly of Applied Mathematics, 59 (2001), pp. 391-399. (ps)

Pointwise error estimates for scalar conservation laws with piecewise smooth solutions
Eitan Tadmor and Tao Tang ..... SIAM J. Numer Anal., 36 (1999), pp. 1739-1758. (ps)

Pointwise error estimates for relaxation approximations to conservation laws
Eitan Tadmor and Tao Tang ..... SIAM J. Math. Anal., 32 (2000), pp. 870-886 (ps)

Pointwise convergence rate for nonlinear conservation laws
Eitan Tadmor and Tao Tang. Proc. for 7th Int. Conf. Hyperbolic Problems (ETH Zurich), pp. 925-934. (ps)

Gas-kinetic schemes for the compressible Euler equations: Positivity-preserving analysis
Tao Tang and Kun Xu. Z. angew Math. Phys., 50 (1999), pp. 258-281. (pdf)

Convergence analysis for operator splitting methods to conservation laws with stiff source terms
Tao Tang. SIAM J. Numer Anal., 35 (1998), pp. 1939-1968. (ps)

Viscosity methods for piecewise smooth solutions to scalar conservation laws
Tao Tang and Zhen-huan Teng. Math Comp, 66 (1997), pp. 495-526. (ps)

Monotone difference schemes for two dimensional nonhomogeneous conservation laws
Tao Tang and Zhen-huan Teng. In Recent Advances in Differential Equations, Longman, 1998 pp. 229-243. (ps)

Error bounds for fractional step methods for conservation laws with source terms
Tao Tang and Zhen-huan Teng. SIAM J. Numer Anal., 32 (1995), pp. 110-127. (ps)

The sharpness of Kuznetsov's $O(\sqrt{\Delta x})L^1$-error estimate for monotone difference schemes
Tao Tang and Zhen-huan Teng. Math Comp, 64 (1995), pp. 581-589. (ps)

On three-point second-order accurate conservative difference schemes
Tang Tao. J. Compt. Math., 5(1987), pp. 105-118. (ps.gz)