List of Publications

JOURNAL PUBLICATIONS

Bibliography generated from 123temp.bib

001   Y. Di, R. Li, and T. Tang,
A general moving mesh framework in 3D and its application for simulating the mixture of multi-phase flows, Commun. Comput. Phys. 3 (2008), 582-603.

002   Jingtang Ma and T. Tang,
Error analysis for a fast numerical method to a boundary integral equation of the first kind, J. Comput. Math. 26 (2008), 56-68.

003   H. Wang, R. Li, and T. Tang,
Efficient computation of dentritic growth with r-adaptive finite element methods, J. Comput. Phys. 227 (2008), 5984-6000.

004   Y. Zhao, T. Tang, and J. Wang,
Regularity and global structure of solutions to Hamilton-Jacobi equations I. Convex Hamiltonian, to appear in J. Hyperbol. Differ. Eq., 2008.

005   Y. Di, R. Li, T. Tang, and P. Zhang,
Level set calculations for incompressible two-phase flows on a dynamically adaptive grid, J. Sci. Comput. 31 (2007), no. 1-2, 75-98.

006   Yinnian He, Yunxian Liu, and T. Tang,
On large time-stepping methods for the Cahn-Hilliard equation, Appl. Numer. Math. 57 (2007), 616-628.

007   T. Tang, J. Wang, and Y. Zhao,
On the piecewise smoothness of entropy solutions to scalar conservation laws for a large class of initial data, J. Hyperbol. Differ. Eq. 4 (2007), no. 3, 369-389.

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

009   L. Yuan and T. Tang,
Resolving the shock-induced combustion by an adaptive mesh redistribution method, J. Comput. Phys. 224 (2007), 587-600.

010   Yana Di, Ruo Li, T. Tang, and Pingwen Zhang,
Moving mesh methods for singular problems on a sphere using perturbed harmonic mappings, SIAM J. Sci. Comput. 28 (2006), 1490-1508.

011   R. Li and T. Tang,
Moving mesh discontinuous Galerkin method for hyperbolic conservation laws, J. Sci. Comput. 27 (2006), 347-363.

012   Z. Tan, T. Tang, and Z. Zhang,
A simple moving mesh method for one- and two-dimensional phase-field equations, J. Comput. Appl. Math. 190 (2006), 252-269.

013   Zhonghua Qiao, Zhilin Li, and T. Tang,
A finite difference scheme for solving the nonlinear Poisson-Boltzmann equation modeling charged spheres, J. Comput. Math. 24 (2006), 252-264.

014   Chuanju Xu and T. Tang,
Stability analysis of large time-stepping methods for epitaxial growth models, SIAM J. Numer. Anal. 44 (2006), 1759-1779.

015   Z. R. Zhang and T. Tang,
Resolving small-scale structures in Boussinesq convection by adaptive grid methods, J. Comput. Appl. Math. 195 (2006), 274-291.

016   Boris N. Azarenok and T. Tang,
Second-order Godunov-type scheme for reactive flow calculations on moving meshes, J. Comput. Phys. 206 (2005), 48-80.

017   Yana Di, Ruo Li, T. Tang, and Pingwen Zhang,
Moving mesh finite element methods for the incompressible Navier-Stokes equations, SIAM J. Sci. Comput. 26 (2005), 1036-1056.

018   H. P. Ma, W. W. Sun, and T. Tang,
Hermite spectral methods with a time-dependent scaling for parabolic equations in unbounded domains, SIAM J. Numer. Anal. 43 (2005), no. 1, 58-75.

019   Z. Yin, Li Yuan, and T. Tang,
A new parallel strategy for two-dimensional incompressible flow simulations using pseudo-spectral methods, J. Comput. Phys. 210 (2005), 325-341.

020   Q. Y. Chen, T. Tang, and Z. H. Teng,
A fast numerical method for integral equations of the first kind with logarithmic kernel using mesh grading, J. Comput. Math. 22 (2004), no. 2, 287-298.

021   Y. Q. Huang, Zhong-Ci Shi, T. Tang, and W. M. Xue,
A multilevel successive iteration methods for nonlinear elliptic problems, Math. Comp. 73 (2004), no. 246, 525-539.

022   W.-B. Liu, H.-P. Ma, T. Tang, and N. Yan,
A posteriori error estimates for DG time-stepping method for optimal control problems governed by parabolic equations, SIAM J. Numer. Anal. 42 (2004), no. 3, 1032-1061.

023   Z.-J. Tan, Z.-R. Zhang, Y.-Q. Huang, and T. Tang,
Moving mesh methods with locally varying time steps, J. Comput. Phys. 200 (2004), 347-367.

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

025   Boris N. Azarenok, Sergey A. Ivanenko, and T. Tang,
Adaptive mesh redistribution method based on Godunov's scheme, Comm. Math. Sci. 1 (2003), no. 1, 152-179.

026   W. Sun, T. Tang, Michael J. Ward, and J. Wei,
Numerical challenges for resolving spike dynamics for two one-dimensional reaction-diffusion systems, Stud. Appl. Math. 111 (2003), no. 1, 41-84.

027   H.-Z. Tang and T. Tang,
Adaptive mesh methods for one- and two-dimensional hyperbolic conservation laws, SIAM J. Numer. Anal. 41 (2003), no. 2, 487-515.

028   H.-Z. Tang, T. Tang, and P.-W. Zhang,
An adaptive mesh redistribution method for nonlinear Hamilton-Jacobi equations in two- and three dimensions, J. Comput. Phys. 188 (2003), no. 2, 543-572.

029   T. Tang, Z.-H. Teng, and Z.-P. Xin,
Fractional rate of convergence for viscous approximation to nonconvex conservation laws, SIAM J. Math. Anal. 35 (2003), no. 1, 98-122.

030   Johnson C. M. Fok, B.-Y. Guo, and T. Tang,
Combined Hermite spectral-finite difference method for the Fokker-Planck equations, Math. Comp. 71 (2002), 1497-1528.

031   R. Li, W.-B. Lin, H. P. Ma, and T. Tang,
Adaptive finite element approximation for distributed elliptic optimal control problems, SIAM J. Control Optim. 41 (2002), 1321-1349.

032   R. Li, T. Tang, and P.-W. Zhang,
A moving mesh finite element algorithm for singular problems in two and three space dimensions, J. Comput. Phys. 177 (2002), 365-393.

033   Z. Zhang and T. Tang,
An adaptive mesh redistribution algorithm for convection-dominated problems, Comm. Pure Appl. Anal. 1 (2002), no. 3, 341-357.

034   Y. X. Kan, T. Tang, and Z.-H. Teng,
On the piecewisely smooth solutions to non-homogeneous scalar conservation laws, J. Differential Equations 175 (2001), 27-50.

035   M. Li and T. Tang,
A compact fourth-order finite difference scheme for unsteady Navier-Stokes equations, J. Sci. Comput. 16 (2001), 29-46.

036   R. Li, T. Tang, and P.-W. Zhang,
Moving mesh methods in multiple dimensions based on harmonic maps, J. Comput. Phys. 170 (2001), 562-588.

037   W.-B. Liu, H. P. Ma, and T. Tang,
On mixed error estimates for elliptic obstacle problems, Adv. Comput. Math. 15 (2001), 261-283.

038   W.-B. Liu and T. Tang,
Error analysis for a Galerkin-spectral method with coordinate transformation for solving singularly perturbed problems, Appl. Numer. Math. 38 (2001), 315-345.

039   H.-Z. Tang, T. Tang, and J.-H. Wang,
On numerical entropy inequalities for second order relaxed scheme, Quart. of Appl. Math. 59 (2001), 391-399.

040   T. Tang, Z.-H. Teng, and J.-H. Wang,
Convergence analysis of relazation schemes for conservation laws with stiff source terms, Methods and Applications of Analysis 8 (2001), 667-680.

041   T. Tang, W. M. Xue, and P. W. Zhang,
Analysis of moving mesh methods based on geometrical variables, J. Comput. Math. 19 (2001), 41-64.

042   W. Z. Huang and T. Tang,
Pseudospectral solutions for steady motion of a viscous fluid inside a circular boundary, Appl. Numer. Math. 33 (2000), 167-173.

043   S. McKee, T. Tang, and T. Diogo,
An Euler-type method for two-dimensional Volterra integral equations of the first kind, IMA J. Numer. Anal. 20 (2000), 423-440.

044   Y. Qiu, D. M. Sloan, and T. Tang,
Numerical solution of a singularly perturbed two-point boundary value problem using equidistribution: analysis of convergence, J. Comput. Appl. Math. 116 (2000), 121-143.

045   E. Tadmor and T. Tang,
Pointwise error estimates for relaxation approximations to conservation laws, SIAM J. Math. Anal. 32 (2000), 870-886.

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

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

048   E. Tadmor and T. Tang,
Pointwise error estimates for scalar conservation laws with piecewise smooth solutions, SIAM J. Numer. Anal. 36 (1999), 1739-1758.

049   T. Tang and K. Xu,
Gas-kinetic schemes for the compressible Euler equations: Positivity-preserving analysis, Z. Angew. Math. Phys. 50 (1999), 258-281.

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

051   T. Tang and Z. H. Teng,
Viscosity methods for piecewise smooth solutions to scalar conservation laws, Math. Comp. 66 (1997), 495-526.

052   A. Karageorghis and T. Tang,
A spectral domain decomposition approach for steady Navier-Stokes problems in circular geometries, Comput. Fluids 25 (1996), 541-549.

053   B. Jumarhon, W. Lamb, S. McKee, and T. Tang,
A Volterra integral type method for solving a class of nonlinear initial-boundary value problems, Numerical Methods for Partial Differential Equations 12 (1996), 265-281.

054   M. Li and T. Tang,
Steady viscous flow in a triangular cavity by efficient numerical techniques, Comput. Math. Appl. 31 (1996), 55-65.

055   T. Tang and M. R. Trummer,
Boundary layer resolving pseudospectral methods for singular perturbation problems, SIAM J. Sci. Comput. 17 (1996), 430-438.

056   T. Tang and Z. H. Teng,
Error bounds for fractional step methods for conservation laws with source terms, SIAM J. Numer. Anal. 32 (1995), 110-127.

057   M. Li, T. Tang, and B. Fornberg,
A compact fourth order finite difference scheme for steady incompressible Navier-Stokes equations, Internat. J. Numer. Methods Fluids 20 (1995), 1137-1151.

058   T. Tang and Z. H. Teng,
The sharpness of Kuznetsov's O( sqrt Delta x) L1-error estimate for monotone difference schemes, Math. Comp. 64 (1995), 581-589.

059   Q. Sheng and T. Tang,
Optimal convergence of an Euler and finite difference method for nonlinear partial integro-differential equations, Math. Comput. Modelling 21 (1995), 1-11.

060   Y. Liu, L. Liu, and T. Tang,
The numerical computation of connecting orbits in dynamical systems: a rational spectral approach, J. Comput. Phys. 111 (1994), 373-380.

061   Y. Song and T. Tang,
On staggered Turkel-Zwas schemes for two dimensional shallow-water equations, Monthly Weather Review 122 (1994), 223-234.

062   T. Diogo, S. McKee, and T. Tang,
Collocation methods for second-kind Volterra integral equations with weakly singular kernels,
Proceedings of The Royal Society of Edinburgh, 124A, 1994, pp. 199-210.

063   B. Jumarhon, S. McKee, and T. Tang,
The proof of an inequality arising in a reaction-diffusion study in a small cell, J. Comput. Appl. Math. 51 (1994), 99-101.

064   Y. Song and T. Tang,
Group velocity in numerical schemes for three dimensional hydrodynamic equations, J. Comput. Phys. 105 (1993), 72-82.

065   T. Tang,
The Hermite spectral method for Gaussian type functions, SIAM J. Sci. Comput. 14 (1993), 594-606.

066   T. Tang,
A finite difference scheme for partial integro-differential equations with weakly singular kernel, Appl. Numer. Math. 11 (1993), 309-319.

067   T. Tang,
A note on collocation methods for Volterra integro-differential equations with weakly singular kernels, IMA J. Numer. Anal. 13 (1993), 93-99.

068   E.-Z. Fu, T. Tang, and Z.-H. Teng,
Riemann problem for a hyperbolic model of combustion: the Z-N-D solutions, J. Partial Differential Equations 6 (1993), 361-372.

069   T. Tang, S. McKee, and M. W. Reeks,
A spectral method for the numerical solutions of a kinetic equation describing the dispersion of small particles in a turbulent flow, J. Comput. Phys. 103 (1992), 222-230.

070   D. B. Ingham and T. Tang,
Multi-grid solutions for steady state flow past a cascade of sudden expansions, Comput. Fluids 21 (1992), 647-660.

071   T. Tang,
Superconvergence of numerical solutions to weakly singular Volterra integro-differential equations, Numer. Math. 61 (1992), 373-382.

072   T. Diogo, S. McKee, and T. Tang,
Product integration methods for an integral equation with logarithmic singular kernel, Appl. Numer. Math. 9 (1992), 259-266.

073   T. Diogo, S. McKee, and T. Tang,
A Hermite-type collocation method for the solution of an integral equation with a logarithmic singular kernel, IMA J. Numer. Anal. 11 (1991), 595-605.

074   D. B. Ingham, B. R. Morton, and T. Tang,
Steady two-dimensional flow past a normal flat plat, Z. Angew. Math. Phys. 42 (1991), 584-604.

075   S. McKee, M. W. Reeks, and T. Tang,
On a moving boundary solution to the Fokker-Planck equation for particle transport in turbulent flows with absorbing boundaries, IMA J. Appl. Math. 47 (1991), 307-318.

076   S. McKee and T. Tang,
Integral inequalities and their application in numerical analysis, Fasc. Math. 23 (1991), 67-76.

077   T. Tang and D. B. Ingham,
On steady flow past a rotating circular cylinder at Reynolds numbers 60 and 100, Comput. Fluids 19 (1991), 217-230.

078   D. B. Ingham and T. Tang,
A numerical investigation into the steady flow past a rotating circular cylinder at low and intermediate Reynolds numbers, J. Comput. Phys. 87 (1990), 91-107.

079   D. B. Ingham, T. Tang, and B. R. Morton,
Steady two dimensional flow through a row of normal flat plates, J. Fluid Mech. 210 (1990), 281-302.

080   T. Tang and W. Yuan,
The numerical solution of second-order weakly singular Volterra integro-differential equations, J. Comput. Math. 8 (1990), 307-320.

081   T. Tang and W. Yuan,
The numerical analysis of implicit Runge-Kutta methods for a certain nonlinear integro-differential equation, Math. Comp. 54 (1990), 155-168.

082   T. Tang,
On the collocation methods for high-order Volterra integro-differential equations, J. Comput. Math. (1990), 183-194.

083   H. Brunner and T. Tang,
Polynomial spline collocation methods for the nonlinear Basset equation, Comput. Math. Appl. 18 (1989), 449-457.

084   T. Tang,
On three point second-order conservative finite difference schemes, J. Comput. Math. 5 (1987), 105-118.

085   T. Tang and W. Yuan,
The further study of a certain integro-differential equation, J. Comput. Phys. 72 (1987), 486-497.

CONFERENCE PROCEEDINGS

Bibliography generated from 123temp.bib
086   D. B. Ingham and T. Tang,
Numerical study of steady flow past a rotating circular cylinder,
Proceedings of the 11th International Conference on Numerical Methods for Fluid Dynamics, Lecture Notes in Physics, vol. 323, 1988, pp. 306-310.

087   E.-Z. Fu, T. Tang, and Z.-H. Teng,
Riemann problem for hyperbolic model of combustion: the existence and basic structure of the self-similar solutions,
Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference, Contemporary Mathematics (W. B. Lindquist, ed.), vol. 100, 1989, pp. 335-354.

088   D. B. Ingham and Tao Tang,
Steady flow past a cascade of sudden expansion,
Proceedings of the 6th International Conference on Numerical Methods for Laminar and Turbulent Flow, 1989, pp. 735-741.

089   M. W. Reeks, K. Hyland, S. McKee, D. Swailes, and Tao Tang,
Analytic and numeric solutions for a Fokker-Planck type transport equation,
Symposium on Gas-Solid Flows, ASME, 1991, pp. 45-49.

090   Y. Song and Tao Tang,
Dispersion relations of numerical schemes for the three-dimensional hydrodynamic equations,
Proceedings of the 7th International Conference on Numerical Methods in Laminar and Turbulent Flow (Swansea UK) (C. Taylor, J. H. Chin, and G. M. Homsy, eds.), Pineridge Press, 1991, pp. 1131-1141.

091   T. Tang and Z. Teng,
Time-splitting methods for nonhomogeneous conservation laws,
Proceedings of Symposia in Applied Mathematics (W. Gautschi, ed.), AMS, vol. 48, Amer. Math. Soc. (Providence), 1994, pp. 389-393.

092   W.-B. Liu and T. Tang,
Spectral methods for singular perturbation problems,
Proceedings of Symposia in Applied Mathematics (W. Gautschi, ed.), AMS, vol. 48, Amer. Math. Soc. (Providence), 1994, pp. 323-326.

093   D. Sloan and Tao Tang,
Adaptive numerical methods for singular perturbation problems,
Proceedings of the Workshop on Scientific Computing (Hong Kong) (G. Golub, S. H. Lui, F. Luk, and R. J. Plemmons, eds.), 1997, pp. 295-301.

094   T. Tang and Z. H. Teng,
Monotone difference schemes for two dimensional nonhomogeneous conservation laws,
In Recent Advances in Differential Equations (Kunming, China) (H.-H. Dai and P. L. Sachdev, eds.), Longman, 1998, pp. 229-243.

095   E. Tadmor and T. Tang,
The optimal convergence rate of finite difference solutions for nonlinear conservation laws,
Proceedings of Seventh International Conference on Hyperbolic Problems (ETH Zurich, 1998) (M. Fey and R. Jelstch, eds.), International Series of Numerical Mathematics, vol. 130, 1999, pp. 925-934.

096   T. Tang and P.-W. Zhang,
Stability of moving mesh method for partial differential equations,
Proceedings of the Workshop on Scientific Computing'99 (Hong Kong, 1999) (Z.-C. Shi et al., ed.), Science Press, Beijing/New York, 2001, pp. 156-166.

097   R. Li, W.-B. Liu, T. Tang, and P.-W. Zhang,
Moving mesh finite element methods based on harmonic maps,
Proceeding of Second International Workshop on Scientific Computing and Applications (Banff/Canada) (Banff/Canada, 2000) (P. Minev and Y. Lin, eds.), Advances in Computation: Theory and Practice, vol. 7, Nova Science Publishers, New York, 2001, pp. 143-156.

098   T. Tang,
Error estimates for approximate solutions for nonlinear scalar conservation laws,
Proceedings of 8th International Conference on Hyperbolic Problems (in Magdeburg, Germany, 2000) (H. Freishler and G. Warnecke, eds.), International Series of Numerical Mathematics, vol. 141, 2001, pp. 873-882.

099   T. Tang and H. Z. Tang,
A moving mesh algorithm for one-dimensional nonlinear hyperbolic conservation laws,
Proceedings of The 5th China-Japan Seminar on Numerical Mathematics (in Shanghai, China, 2000) (Z.-C. Shi and Hideo Kawarada, eds.), Science Press, Beijing, NewYork, 2002, pp. 94-106.

100   H. Z. Tang and T. Tang,
Multi-dimensional moving mesh methods for shock computations,
Proceedings of the International Conference on Scientific Computing and Partial Differential Equations, 2002 (S. Y. Cheng, C. W. Shu, and T. Tang, eds.), American Mathematical Society, 2003, pp. 169-183.

101   H. P. Ma, W. W. Sun, and T. Tang,
Time-dependent hermite spectral methods for convection-diffusion equations in unbounded domains,
Advances in Scientific Computing and Applications (Beijing/New York) (Y. Lu, W. Sun, and T. Tang, eds.), Science Press, 2004, pp. 303-313.

102   T. Tang,
Moving mesh methods for computational fluid dynamics,
Recent Advances in Adaptive Computation (Z. Shi, Z. Chen, T. Tang, and D. Yu, eds.), Contemporary Mathematics, vol. 383, American Mathematical Society, 2005, Proceedings of the International Conference on Recent Advances in Adaptive Computation, May 2004, Hangzhou, China, pp. 141-173.

103   Li Yuan and T. Tang,
A comparison of high resolution schemes for hyperbolic chemically reacting flows,
Proceedings of the International Conference on Scientific Computing and Partial Differential Equations (Wenbin Liu, Michael Ng, and Zhong-Ci Shi, eds.), vol. 200, Science Press, Beijing, 2007, pp. 142-154.

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Last updated: Tuesday, 11-Sep-2007 11:45:11 HKT