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A robust high resolution solver for steady Euler equations
on unstructured grid. Part I: two space dimensions
Guanghui Hu, Ruo Li and Tao Tang ..... Submitted to Commun. Comput. Phys. (2007). (pdf) | |
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Regularity and global structure of solutions to
Hamilton-Jacobi equations I. Convex Hamiltonian
Yinchuan Zhao, Tao Tang and Jinghua Wang ..... Submitted to J. Hyper. Diff. Eqn. (2007). (pdf) | |
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Superconvergence of monotone difference schemes for piecewise
smooth solutions of convex conservation laws
T. Tang and Z.-H. Teng ..... Accepted by Hokkaido Mathematical Journal (2007). (pdf) | |
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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) | |
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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) | |
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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) | |
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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) | |
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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) | |
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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) | |
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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) | |
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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) | |
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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) | |
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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) | |
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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) | |
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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) | |
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Pointwise error estimates for scalar conservation laws
with piecewise smooth solutions
Eitan Tadmor and Tao Tang ..... SIAM J. Numer Anal., 36 (1999), pp. 1939-1958. (ps) | |
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Pointwise error estimates for
relaxation approximations to conservation laws
Eitan Tadmor and Tao Tang ..... SIAM J. Math. Anal., 32 (2000), pp. 870-886 (ps) | |
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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) | |
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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) | |
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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) | |
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Viscosity methods for piecewise smooth solutions to scalar
conservation laws Tao Tang and Zhen-huan Teng. Math Comp, 66 (1997), pp. 495-526. (ps) | |
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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) | |
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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) | |
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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) | |
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On three-point second-order accurate conservative
difference schemes Tang Tao. J. Compt. Math., 5(1987), pp. 105-118. (ps.gz) | |