Publications

• Books & Chapters

  1. 余德浩和汤华中, 《微分方程数值解法》, 第二版, 中国科学院大学研究生教材系列， 科学出版社, 2018年3月. 书号：978 7 03 046 654 9； 页数：424； 字数：54万。   D.H. Yu and H.Z. Tang, Numerical Solutions of Differential Equations, 2nd edition, Science Press, Beijing, China, 2018. (in Chinese)

  2. 余德浩和汤华中, 《微分方程数值解法》, 第一版, 中国科学院研究生教学丛书， 科学出版社, 2003年10月. 书号: 978 7 03 011 312 2； 页数：488； 字数：39.6万。   D.H. Yu and H.Z. Tang, Numerical Solutions of Differential Equations, 1st edition, Science Press, Beijing, China, 2003. (in Chinese)

     关于<<微分方程数值解法>>(第一次印刷)中 部分文字等的调整 [Citation Index]

  3. H.Z. Tang, Numerical methods for one-dimensional hyperbolic conservation laws, in Chapter 4 of Book entitled "One-dimensional Quasilinear Hyperbolic Systems of Conservation Laws and Their Applications" (396 Pages, edited by Jean-Michel Coron, Tatsien Li, and Yachun Li), Series of Contemporary Applied Mathematics, Volume 21 (editors-in-chief: Ph.G. Ciarlet and Tatsien Li), Higher Education Press & World Scientific, March 2019, Pages: 225–386.

• Publications in Refereed Journals (Submitted)

• Publications in Refereed Journals (Appeared or Accepted)

  1. Zhihao Zhang, Jiangfu Wang, and Huazhong Tang, High-order accurate structure-preserving finite volume scheme for ten-moment Gaussian closure equations with source terms: Positivity and well-balancedness, accepted by Computational Methods in Applied Mathematics, Sino-German workshop special issue, May 8, 2025.

  2. Shangting Li and H.Z. Tang, High-order accurate entropy stable schemes for compressible Euler equations with van der Waals equation of state on adaptive moving meshes, accepted by Commun. Comput. Phys., Oct. 8, 2024. arXiv: 2407.05568 , July 8, 2024.

  3. Zhihao Zhang, H.Z. Tang, and Kailiang Wu*, High-order accurate structure-preserving finite volume schemes on adaptive moving meshes for shallow water equations: Well-balancedness and positivity, J. Comput. Phys., 527 (2025), 113801. arXiv:2409.09600, 15 Sep 2024.

  4. Jiangfu Wang and Huazhong Tang, A second-order direct Eulerian GRP scheme for ten-moment Gaussian closure equations with source terms, J. Comput. Phys., 523(15 February 2025), 113671. arXiv: 2407.03712, July 3, 2024.

  5. Jiangfu Wang, H.Z. Tang, and Kailiang Wu*, High-order accurate positivity-preserving and well-balanced discontinuous Galerkin schemes for ten-moment Gaussian closure equations with source terms, J. Comput. Phys., 519(15 December 2024), 113451. arXiv: 2402.15446.

  6. Zhihao Zhang, H.Z. Tang, and Junming Duan*, High-order accurate well-balanced energy stable finite difference schemes for multi-layer shallow water equations on fixed and adaptive moving meshes, J. Comput. Phys., 517(2024), 113301. arXiv: 2311.08124.

  7. D. Ling and H.Z. Tang, Genuinely multidimensional physical-constraints-preserving finite volume schemes for the special relativistic hydrodynamics, Commun. Comput. Phys., 34(4), pp.955-992, 2023. arXiv: 2303.02686.

  8. Zengqiang Tan and Huazhong Tang, A general class of linear unconditionally energy stable schemes for the gradient flows, II, J. Comput. Phys., 495(15 December 2023), 112574.    arXiv: 2302.02715 , Feb. 6, 2023.

  9. Zhihao Zhang, Junming Duan and H.Z. Tang, High-order accurate well-balanced energy stable adaptive moving mesh finite difference schemes for the shallow water equations with non-flat bottom topography, J. Comput. Phys., 492(2023), 112451. arXiv: 2303.06924.

  10. Y.H. Yuan and H.Z. Tang, On the explicit two-stage fourth-order accurate time discretizations, J. Comput. Math., 41(2023), 305-324. arXiv: 2007.02488.

  11. Shangting Li, Junming Duan, and Huazhong Tang, High-order accurate entropy stable adaptive moving mesh finite difference schemes for (multi-component) compressible Euler equations with the stiffened equation of state, Comput. Methods Appl. Mech. Engrg., 399(1 September 2022), 115311. arXiv: 2202.07989

  12. Zengqiang Tan and Huazhong Tang, A general class of linear unconditionally energy stable schemes for the gradient flows, J. Comput. Phys., 464(2022), 111372.    Accepted on June 3 (端午节), 2022. arXiv: 2203.02290

  13. Haili Jiang, Huazhong Tang, and Kailiang Wu, Positivity-preserving well-balanced central discontinuous Galerkin schemes for the Euler equations under gravitational fields, J. Comput. Phys., 463 (2022) 111297.

  14. Y.Y. Kuang and H.Z.Tang, Globally hyperbolic moment model of arbitrary order for three-dimensional special relativistic Boltzmann equation with Anderson-Witting collision, SCIENCE CHINA Mathematics, 65(5): 1029-1064 (May 2022).    Available online: 22 January 2021.    arXiv: 1705.03990.

  15. Junming Duan and Huazhong Tang, High-order accurate entropy stable adaptive moving mesh finite difference schemes for special relativistic (magneto)hydrodynamics, J. Comput. Phys., 456(1 May 2022), 111038.    accepted by JCP on January 31, 2022 (除夕). arXiv:2107.12027.

  16. Junming Duan and Huazhong Tang, An analytical solution of the isentropic vortex problem in the special relativistic magnetohydrodynamics, J. Comput. Phys., 456(1 May 2022), 110903. arXiv:2107.01966.

  17. S. Su and H.Z. Tang, A positivity-preserving and free energy dissipative hybrid scheme for the Poisson-Nernst-Planck equations on polygonal and polyhedral meshes, Computers & Mathematics with Applications, 108(2022), 33-48.

  18. S.C. Li and H.Z. Tang, Three discontinuous Galerkin methods for one- and two-dimensional nonlinear Dirac equations with a scalar self-interaction, Commun. Comput. Phys., 30 (2021), pp. 1150-1184. arXiv: 2011.00934.

  19. 汤华中, 双曲型守恒律方程的熵稳定格式的一些讨论 (Some discussions on entropy stable schemes for scalar hyperbolic conservation laws), 计算数学, 43(4), 413-425, 2021.

  20. Y.P. Chen, Y.Y. Kuang and H.Z. Tang, Second-order accurate BGK schemes for the special relativistic hydrodynamics with the Synge equation of state, J. Comput. Phys., 442 (1 October 2021), 110438. arXiv: 2011.00820.

  21. S. Su, H.Z. Tang and J.M. Wu, An efficient positivity-preserving finite volume scheme for the nonequilibrium three-temperature radiation diffusion equations on polygonal meshes, Commun. Comput. Phys., 30 (2021), pp.448-485.

  22. J.M. Duan and H.Z. Tang, High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics, J. Comput. Phys., 431 (15 April 2021), 110136. arXiv:2003.10081.

  23. J.M. Duan and H.Z. Tang, Entropy stable adaptive moving mesh schemes for 2D and 3D special relativistic hydrodynamics, J. Comput. Phys., 426 (1 February 2021), 109949. arXiv: 2007.12884.

  24. J.M. Duan and H.Z. Tang, High-order accurate entropy stable nodal discontinuous Galerkin schemes for the ideal special relativistic magnetohydrodynamics, J. Comput. Phys., 421 (15 November 2020), 109731. doi: j.jcp.2020.109731, arXiv:1911.03825.

  25. Y.H. Yuan and H.Z. Tang, Two-stage fourth-order accurate time discretizations for 1D and 2D special relativistic hydrodynamics, J. Comput. Math., Vol.38, No.5, 2020, 746-774. doi: jcm.1905-m2018-0020, arXiv:1712.05546.

  26. J.M. Duan and H.Z. Tang, High-order accurate entropy stable finite difference schemes for one- and two-dimensional special relativistic hydrodynamics, Adv. Appl. Math. Mech., 12(1), 2020, 1-29. arXiv: 1905.06092.

  27. J.M. Duan and H.Z. Tang, An efficient ADER discontinuous Galerkin scheme for directly solving Hamilton-Jacobi equation, J. Comput. Math., 38(1), 2020, 58-83. arXiv:1901.10228

  28. D. Ling, J.M. Duan and H.Z. Tang, Physical-constraints-preserving Lagrangian finite volume schemes for one- and two-dimensional special relativistic hydrodynamics, J. Comput. Phys., 396(1 Nov. 2019), 507-543. arXiv: 1901.10625.

  29. 段俊明 & 汤华中 (J.M. Duan and H.Z. Tang), 二维群集Vicsek模型的动理学方程的一个二阶精度格式, 湘潭大学自然科学学报(Nat. Sci. J. Xiangtan Univ.), 2019,(1):1-14.

  30. Y.Y. Kuang and H.Z. Tang, Second-order accurate direct Eulerian GRP schemes for radiation hydrodynamical equations, Comput. & Fluids, 179(30 Jan. 2019), 163-177.    arXiv: 1703.10712

  31. K.L. Wu and H.Z. Tang, On physical-constraints-preserving schemes for special relativistic magnetohydrodynamics with a general equation of state, Z. Angew. Math. Phys., 69(2018): 84.    arXiv: 1709.05838

  32. J.M. Duan, Y.Y. Kuang, and H.Z. Tang, Model reduction of a kinetic swarming model by operator projection, East Asian J. Appl. Math., 8(1), 151-180, 2018.    arXiv: 1701.02888

  33. Y.P. Chen, Y.Y. Kuang, and H.Z. Tang, Second-order accurate genuine BGK schemes for the ultra-relativistic flow simulations, J. Comput. Phys., 349(15 Nov. 2017), Pages 300-327.    arXiv: 1704.08501

  34. K.L. Wu and H.Z. Tang, Admissible states and physical constraints preserving numerical schemes for special relativistic magnetohydrodynamics, Math. Mod. and Meth. Appl. Sci. (M3AS), Vol. 27, No. 10, (2017), 1871-1928.    arXiv:1603.06660

  35. K.L. Wu, H.Z. Tang, and D.B. Xiu, A stochastic Galerkin method for first-order quasilinear hyperbolic systems with uncertainty, J. Comput. Phys., 345(2017), 224-244.    arXiv:1601.04121

  36. J. Zhao and H.Z.Tang, Runge-Kutta discontinuous Galerkin methods for the special relativistic magnetohydrodynamics, J. Comput. Phys., 343(2017), 33-72.    DOI: 10.1016/j.jcp.2017.04.027    arXiv: 1610.03404

  37. Y.Y. Kuang and H.Z.Tang, Globally hyperbolic moment model of arbitrary order for one-dimensional special relativistic Boltzmann equation, J. Stat. Phys., 167(5), 2017, 1303-1353.    DOI: 10.1007/s10955-017-1773-3    arXiv:1608.06555.

  38. J. Zhao and H.Z.Tang, Runge-Kutta central discontinuous Galerkin methods for the special relativistic hydrodynamics, Commun. Comput. Phys., 22(3), 643-682, 2017.    DOI: 10.4208/cicp.OA-2016-0192    arXiv: 1609.06792

  39. Y.Y. Kuang, K.L. Wu, and H.Z.Tang, Runge-Kutta discontinuous local evolution Galerkin methods for the shallow water equations on the cubed-sphere, Numer. Math. Theor. Meth. Appl., 10(2), 2017, 373-419.       arXiv:1608.06700

  40. K.L. Wu and H.Z.Tang, Physical-constraints-preserving central discontinuous Galerkin methods for special relativistic hydrodynamics with a general equation of state, Astrophys. J. Suppl. ser., 228(1), 2017, 3.    2015 Impact factor of ApJS=11.257.    arXiv: 1607.08332.

  41. K.L. Wu and H.Z. Tang, A Newton multigird method for steady-state shallow water equations with topography and dry areas, Appl. Math. Mech. -Engl. Ed., 37(11), 1441-1466, November 2016.    arXiv:1608.06721

  42. K.L. Wu and H.Z. Tang, A direct Eulerian GRP scheme for spherically symmetric general relativistic hydrodynamics, SIAM J. Sci. Comput., 38(3), 2016, B458-B489.    arXiv:1601.00931

  43. K.L. Wu and H.Z. Tang, High-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamics, J. Comput. Phys., 298(2015), 539-564.    arXiv:1504.07707v1   LMAM Report 2015-001

  44. J. Xu, S.H. Shao, H.Z. Tang, and D.Y. Wei, Multi-hump solitary waves of nonlinear Dirac equation, Comm. Math. Sci., 13(5), 2015, 1219-1242.    arXiv:1311.7453;    LMAM Report 2013-024

  45. J. Zhao, P. He, and H.Z. Tang, Steger-Warming flux vector splitting method for special relativistic hydrodynamics, Math. Meth. Appl. Sci., 37(2014), 1003-1018.    doi: 10.1002/mma.2857  LMAM Report 2011-028

  46. K.L. Wu, Z.C. Yang, and H.Z. Tang, A third-order accurate direct Eulerian GRP scheme for one-dimensional relativistic hydrodynamics, East Asian J. Appl. Math., 4(2014), 95-131.    Research Report No. 2013-021, SMS of PKU, China.

  47. K.L. Wu, Z.C. Yang, and H.Z. Tang, A third-order accurate direct Eulerian GRP scheme for the Euler equations in gas dynamics, J. Comput. Phys., 264(2014), 177-208.    Research Report No. 2013-019, SMS of PKU, China.

  48. N. Liu and H.Z. Tang, A high-order accurate gas-kinetic scheme for one- and two-dimensional flow simulation, Commun. Comput. Phys., 15(2014), 911-943.    doi: 10.4208/cicp  LMAM Report 2013-006

  49. H.M. Lin, H.Z. Tang, and W. Cai, Accuracy and efficiency in computing electrostatic potential for an ion-channel model in layered dielectric media, J. Comput. Phys., 259(2014), 488-512.    doi:10.1016/j.jcp.2013.12.017  LMAM Report 2013-023

  50. K.L. Wu and H.Z. Tang, Finite volume local evolution Galerkin method for two-dimensional special relativistic hydrodynamics, J. Comput. Phys., 256(2014), 277-307.    DOI: 10.1016/j.jcp.2013.08.057  LMAM Report 2013-005

  51. J. Xu, S.H. Shao, and H.Z. Tang, Numerical methods for nonlinear Dirac equation, J. Comput. Phys., 245(2013), 131-149.    arXiv:1212.5803, 2012.    LMAM Report 2012-052

  52. J. Zhao and H.Z. Tang, Runge-Kutta discontinuous Galerkin methods with WENO limiter for the special relativistic hydrodynamics, J. Comput. Phys., 242(2013), 138-168.    LMAM Report 2012-040

  53. H.M. Lin, Z.L. Xu, H.Z. Tang, and W. Cai, Image approximations to electrostatic potentials in layered electrolytes/dielectrics and an ion-channel model, J. Sci. Comput., 53(2012), 249-267.    doi:10.1007/s10915-011-9567-2   LMAM Report 2010-045

  54. X. Ji and H.Z. Tang, High-order accurate Runge-Kutta (local) discontinuous Galerkin methods for one- and two-dimensional fractional diffusion equations, Numer. Math. Theor. Meth. Appl., 5(2012), 333-358.    LMAM Report 2010-029

  55. P. He and H.Z. Tang, An adaptive moving mesh method for two-dimensional relativistic magnetohydrodynamics, Comput. & Fluids, 60(2012), 1-20.   doi:10.1016/j.compfluid.2012.02.024    LMAM Report 2011-022

  56. Z.C. Yang and H.Z. Tang, A direct Eulerian GRP scheme for relativistic hydrodynamics: Two-dimensional case, J. Comput. Phys., 231(2012), 2116-2139.    doi:10.1016/j.jcp.2011.11.026   LMAM Report 2011-023

  57. P. He and H.Z. Tang, An adaptive moving mesh method for two-dimensional relativistic hydrodynamics, Commun. Comput. Phys., 11(2012), 114-146.    LMAM Report 2010-040

  58. Z.C. Yang, P. He, and H.Z. Tang, A direct Eulerian GRP scheme for relativistic hydrodynamics: One-dimensional case, J. Comput. Phys., 230(2011), 7964-7987.   doi:10.1016/j.jcp.2011.07.004.    LMAM Report 2011-002

  59. EE Han, J.Q. Li, and H.Z. Tang, Accuracy of the adaptive GRP scheme and the simulation of 2-D Riemann problems for compressible Euler equations, Commun. Comput. Phys., 10(2011), 577-606.    LMAM Report 2010-030

      
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  60. H.Z. Tang, K. Xu, and C.P. Cai, Gas-kinetic BGK scheme for three dimensional magnetohydrodynamics, Numer. Math. Theor. Meth. Appl., 3(2010), 387-404.   LMAM Report 2010-031

      
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  61. EE Han, J.Q. Li, and H.Z. Tang, An adaptive GRP scheme for compressible fluid flows, J. Comput. Phys., 229(2010), 1448-1466.    LMAM Report 2009-039

      
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  62. J.Q. Li, H.Z. Tang, G. Warnecke, and L.M. Zhang, Local oscillations in finite difference solutions of hyperbolic conservation laws, Math. Comp., 78(2009), 1997-2018.    LMAM Report 2008-048

      
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  63. C.W. Wang, H.Z. Tang, and T.G. Liu, An adaptive ghost fluid finite volume method for compressible gas-water simulations, J. Comput. Phys., 227(2008), 6385-6409.    LMAM Report 2007-018

      
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  64. G.X. Chen, H.Z. Tang, and P.W. Zhang, Second-order accurate Godunov scheme for multicomponent flows on moving triangular meshes, J. Sci. Comput., 34(2008), 64-86.    LMAM Report 2007-017

      
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  65. S.H. Shao and H.Z. Tang, Interaction of solitary waves with a phase shift in a nonlinear Dirac model, Commun. Comput. Phys., 3(2008), 950-967.    arXiv:nlin/0604033    LMAM Report 2005-096

      
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  66. H.Z. Tang and G. Warnecke, On convergence of a domain decomposition method for hyperbolic conservation laws, SIAM J. Numer. Anal., 45(2007), 1453-1471.    DOI: 10.1137/040607423. LMAM report 2003-167
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  67. Z.R. Zhang and H.Z. Tang, An adaptive phase field method for the mixture of two incompressible fluids, Comput. & Fluids, 36(2007), 1307-1318.    doi: 10.1016/j.compfluid.2006.12.003 . LMAM report 2006-045
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  68. H. Wang and H.Z. Tang, An efficient adaptive mesh redistribution method for a nonlinear Dirac equation, J. Comput. Phys., 222(2007), 176-193.     doi:10.1016/j.jcp.2006.07.011. Research Report 2006-11, LMAM, PKU.
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  69. J.Q. Han and H.Z. Tang, An adaptive moving mesh method for multidimensional ideal magnetohydrodynamics, J. Comput. Phys., 220(2007), 791-812.    doi:10.1016/j.jcp.2006.05.031. Research Report 42, LMAM, PKU, 2005.
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  70. S.H. Shao, W. Cai, and H.Z. Tang, Accurate calculation of Green's functions of Schroedinger equations in block layered potentials, J. Comput. Phys., 219(2006), 733-748.    doi:10.1016/j.jcp.2006.04.009. Research Report 2005-72, LMAM, PKU
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  71. H.Z. Tang and T.G. Liu, A note on the conservative schemes for the Euler equations, J. Comput. Phys., 218(2006), 451-459.    doi:10.1016/j.jcp.2006.03.035. SCI. Research Report 2006-07, LMAM, PKU.
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  72. H.Z. Tang and G. Warnecke, High resolution schemes for conservation laws and convection-diffusion equations with varying time and space grids, J. Comput. Math., 24(2), 2006, 121-140.    SCI&EI
      Also see Preprint 03-12, Fakult\"at f\"ur Mathematik, Otto-von-Guericke-Universit?t Magdeburg, Universit\"atsplatz 2, 39106 Magdeburg, Germany

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  73. H.Z. Tang, A moving mesh method for the Euler flow calculations using a directional monitor function, Commun. Computat. Phys. 1(4), 2006, 656-676.    SCI

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  74. Shihong Shao and H.Z. Tang, Higher-order accurate Runge-Kutta discontinuous Galerkin methods for a nonlinear Dirac model, Discrete Cont. Dyn. Sys. B (DCDS-B), 6(3), 2006, 623-640.    SCI. Research Report 2005-14, LMAM, PKU

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  75. S.H. Shao and H.Z. Tang, Interaction for the solitary waves of a nonlinear Dirac model, Physics Letters A, 345(1-3), 2005, 119-128.

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      A relatively unpublished paper is Research Report 2004-101, LMAM, PKU

      
      

      Website of nonlinear Dirac model

      
      Preprint 1310, Department of Mathematics, Utrecht University, 2004. [Citation Index]

  76. H.Z. Tang and G. Warnecke, A class of high resolution difference schemes for nonlinear Hamilton-Jacobi equations with varying time and space grids, SIAM J. Sci. Comput., 26(4), 2005, 1415-1431.    SCI@EI Research Report of LMAM No.23, 2004.

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  77. H.Z. Tang, On the sonic point glitch, J. Comput. Phys., 202(2), 2005, 507-532.    SCI. Research Report of LMAM No.165, 2003.

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      This is an extended version of the paper entitled "An explanation for the sonic point glitch".

  78. H.Z. Tang and G. Warnecke, A Runge-Kutta discontinuous Galerkin method for the Euler equations, Comput. & Fluids, 34(3), 2005, 375-398.    SCI&EI. Research Report of LMAM No.182, 2003. Preprint 04-05, Fakult\"at f\"ur Mathematik, Otto-von-Guericke-Universit?t Magdeburg, Universit\"atsplatz 2, 39106 Magdeburg, Germany

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  79. H.Z. Tang, Kinetic flux vector splitting for Euler equations with general pressure laws, J. Comput. Math., 22(4), 2004, 622-632.    SCI&EI.

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  80. H.Z. Tang and G. Warnecke, A note on (2k+1)-point conservative monotone schemes, ESAIM-Math. Model. Numer. Anal. (M2AN), 38(2), 2004, 345-357.    SCI Research Report of LMAM No.181, 2003.

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      All specialists of conservation laws know that "monotone implies TVD+entropy", TVD implies convergence, entropy tells it converges to the correct solution. This paper does not contradict this but tells that the story is not finished by opposition to what everybody thinks. TVD does not mean 'oscillation free'.

  81. H.Z. Tang, T. Tang, and K. Xu, A gas-kinetic scheme for shallow-water equations with source terms, Z. Angew. Math. Phys., 55(3), 2004, 365-382.    SCI. Research Report of LMAM No.53, 2001.

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  82. H.Z. Tang, Solution of the shallow-water equations using an adaptive moving mesh method, Inter. J. Numer. Methods in Fluids, 44(7), 2004, 789-810.    SCI&EI. Research Report of LMAM No.166, 2003.

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  83. H.Z. Tang and T. Tang, Adaptive mesh methods for one- and two-dimensional hyperbolic conservation laws, SIAM J. Numer. Anal., 41(2), 2003, 487-515.    SCI&EI. Research Report of LMAM No.3, 2002.

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  84. 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(2), 2003, 543-572.    SCI. Research Report of LMAM No.4, 2002. doi:10.1016/S0021-9991(03)00192-X

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  85. H.Z. Tang and H.M. Wu, Gas-kinetic flux-vector splitting methods for multifluid flow calculation, CFD J., 10(4), 2002, 542-547.

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  86. H.Z. Tang and H.M. Wu, On the convergence of implicit schemes for conservation laws, J. Comput. Math., 20(2), 2002, 121-128.    SCI&EI.

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  87. Tang, HZ, On the central relaxing scheme II: Systems of hyperbolic conservation laws, J. Comput. Math., 19(6), 2001, 571-582.    SCI&EI

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  88. H.Z. Tang and K. Xu, Pseudoparticle representation and positivity analysis of explicit and implicit Steger-Warming FVS schemes, Z. Angew. Math. Phys., 52(5), 2001, 847-858.    SCI

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  89. Tang, HZ; Wu, HM, On the cell entropy inequality for the fully discrete relaxing schemes, J. Comput. Math., 19(5), 2001, 511-518.    SCI&EI

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  90. H.Z. Tang, Nonlinear stability of the relaxing schemes for scalar conservation laws, Appl. Numer. Math., 38(3), 2001, 347-359.    SCI&EI

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  91. H.Z. Tang, P. Cheng, and K. Xu, Numerical simulations of resonant oscillations in a tube, Numer. Heat Transfer Part A-Appl., 40(1), 2001, 37-54.    SCI

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  92. H.Z. Tang and H.M. Wu, The relaxing schemes for Hamilton-Jacobi equations, J. Comput. Math., 19(3), 2001, 231-240.    SCI&EI

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  93. H.Z. Tang, T. Tang, and J. H. Wang, On numerical entropy inequalities for second order relaxed schemes, Quarterly of Appl. Math., 59(2), 2001, 391-399.    SCI.

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  94. H.Z. Tang, Gas-kinetic scheme for the compressible Euler equations of real gases, Comput. & Math. with Appl., 41(5-6), 2001, 723-734.    SCI.

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  95. 汤华中, 一个刚性守恒律方程组的全隐式差分格式, 计算数学, 23(2), 2001, 129-138.   

      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, 129-138.    (in Chinese)

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  96. 汤华中和徐昆, 一类通矢量分裂格式的保正性. I. 显式格式, 计算数学, 23(4), 2001, 469-476.   

      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, 469-476.    (in Chinese)

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  97. 汤华中和邬华谟, 一致高精度KFVS方法用于多分量流计算, 数值计算与计算机应用, 22(1), 2001, 43-52.   

      H.Z. Tang and H.M. Wu, Uniform high accurate KFVS methods for multicomponent flow calculations, Journal on Numerical Methods and Computer Applications, 22(1), 2001, 43-52.    (in Chinese)

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  98. H.Z. Tang and K. Xu, A high-order gas-kinetic methodfor multidimensional ideal magnetohydrodynamics, J. Comput. Phys., 165(1), 2000, 69-88.    SCI.

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  99. Tang, HZ; Wu, HM, On the explicit compact schemes II: Extension of the STCE/CE method on nonstaggered grids, J. Comput. Math., 18(5), 2000, 467-480.    SCI

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  100. H.Z. Tang and H.M. Wu, Kinetic flux vector splitting for radiation hydrodynamical equations, Computer & Fluids, 29(8), 2000, 917-933.    SCI&EI

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  101. Tang, HZ, On the central relaxing schemes I: Single conservation laws, J. Comput. Math., 18(3), 2000, 313-324.    SCI&EI.

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  102. H.Z. Tang and H.M. Wu, On a cell entropy inequality of the relaxing schemes for scalar conservation laws, J. Comput. Math., 18(1), 2000, 69-74.    SCI&EI

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  103. H.Z. Tang and K. Xu, Positivity-preserving analysis of explicit and implicit Lax-Friedrichs schemes for compressible Euler equations, J. Scientific Computing, 15(1), 2000, 19-28.    EI

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  104. 汤华中和邬华谟, 离散速度动力学方程组的数值方法研究 I. 半隐式差分格式, 计算数学, 22(2), 2000, 183-190.

       H.Z. Tang and H. M. Wu, On The numerical methods for the discrete-velocity kinetic equation I. Semi-implicit difference schemes, Mathematica Numerica Sinica, 22(2), 2000, 183-190.    (in Chinese)

       [Citation Index]

  105. H.Z. Tang and H.M. Wu, High resolution KFVS finite volume methods for multicomponent flow calculations, Chinese J. Comput. Phys.(计算物理), 17(1-2), 2000, 179-186.   

       [Citation Index]

  106. H.Z. Tang and N. Zhao, An estimate of the rate of entropy dissipation of high resolution MUSCL type Godunov schemes, J. Comput. Math., 17(4), 1999, 369-378.    SCI&EI

       [Citation Index]

  107. 汤华中和邬华谟, 高分辨KFVS有限体积方法及其CFD应用, 计算数学, 21(3), 1999, 375-384;    Chinese J. Num. Math. & Appl., 21(4), 93-103, 1999

       H.Z. Tang and H.M. Wu, High resolution KFVS finite volume methods and Its applications in CFDs, Mathematica Numerica Sinica , 21(3), 1999, 375-384.    (in Chinese); Chinese J. Num. Math. & Appl., 21(4), 1999, 93-103.    (in English)

       [Citation Index]

  108. H.Z. Tang, High-order gas-kinetic methods for ideal magnetohydrodynamics, Commun. Nonlinear Science & Numerical Simulation, 4(2), 1999, 141-146.    EI

       [Citation Index]

  109. H.Z. Tang, Numerical entropy conditions for implicit relaxing difference approximations to scalar conservation laws, Mini-Micro Systems, 19(1998), Suppl., 78-85.

       [Citation Index]

  110. H.Z. Tang and J.Z. Dai, Kinetic flux vector splitting schemes for Euler equations, Journal of Nanjing University of Aeronautics and Astronautics, 28(4), 1996, 476-480.    (in Chinese), EI

       [Citation Index]

  111. N. Zhao and H.Z. Tang, High resolution schemes and discrete entropy conditions for 2-D linear conservation laws, J. Comput. Math., 13(3), 1995, 281-289.    SCI

       [Citation Index]

  112. H.Z. Tang and J.Z. Dai, A class of group explicit finite difference schemes for Burgers' equations, J. Nanjing Univ. Sci. and Tech., 19(1), 1995, 53-57.    (in Chinese), EI.

       [Citation Index]

  
  All published papers are available upon request:
  		Huazhong Tang
  		School of Mathematical Sciences
  		Peking University
  		Beijing 100871
  		P.R. China
  

• Publications in Proceedings, Lecture Notes, and Technical Reports

  1. Cai, C., Tang, H. and Kun, X., "Gas-kinetic BGK Scheme for three dimensional magnetohydrodynamics", AIAA Paper 2007-1441, 45th AIAA Aerospace Sciences Meeting and Exhibit, 7-10 January, 2007, Reno, Nevada.

  2. P.A. Zegeling, W.D. de Boer, and H.Z. Tang, Robust and efficient adaptive moving mesh solution of the 2-D Euler equations, Contemporary Mathematics, 383(2005), 375-386.   

     汤华中和韩建强, 理想磁流体的散度自由移动网格方法, 高等学校计算数学, 27(2005), suppl., 119-122.

     邵嗣烘和汤华中, 非线性Dirac方程的数值研究, 高等学校计算数学, 27(2005), Suppl., 123-126.

     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, 330(2003), 169-183.

     [Citation Index]

     T. Tang and H.Z. Tang, Computational Fluid Dynamics with mesh adaptivity, Discretization Methods and Numerical Algorithm for Differential Equations, 2002, 28-38.

     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, New York, 2002, 94-106.

     H.M. Wu and H.Z. Tang, High resolution KFVS methods for multi-fluid dynamics, in Computational Fluid Dynamics 2000, edited by N. Satofuka (Prof. of 1st Inter. Conf. On CFDs, ICCFD, Kyoto, Japan, July 2000), Springer, 2002, 627-632.

     H.M. Wu and H.Z. Tang, Solving Euler equations of multi-component flows (in Chinese), in New Advances in Computational Fluid Dynamics -Theory, Methods and Applications, edited by F. Dubois and H.M. Wu, Higher Education Press, Beijing, 2001, 346-372.

     K. Xu and H.Z. Tang, A gas-kinetic method for ideal magnetohydrodynamics, Proc. of the 4th Asian Computational Fluid Dynamics Conference, edited by Zhang Hanxin, University of Electronic Science and Technology of China Press, 2000, 145-151.

     H.Z. Tang and H.M. Wu. Gas-kinetic flux-vector splitting methods for multifluid flow calculation, Proc. Of the 4th Asian Computational Fluid Dynamics Conference, edited by Zhang Hanxin, University of Electronic Science and Technology of China Press, 2000, 548-553.

     H.Z. Tang, Kinetic flux vector splitting for Euler equations for real gases, The '99 International Conference on Scientific and Engineering Computing for Young Chinese Scientists, Beijing, China, July 1-4, 1999.

     H.Z. Tang, and J.Z. Dai, A class of high order accurate nonoscillatory schemes for hyperbolic scalar conservation laws with several space variables and their convergence, The 2nd International Conference on Computational Physics, Beijing, China, 1995.

     H.M. Wu, and H.Z. Tang, Control of oscillations in multicomponent flow calculations, The second China Mainland-Taiwan-Hong Kong Symposiumon CFD, Sichuan, China, Sept. 20-27, 1999.

• Preprints

  1. D. Ling and H.Z. Tang, A physical-constraints-preserving genuinely multidimensional HLL scheme for the special relativistic hydrodynamics, submitted to TBA, Oct. 8, 2020. arXiv: 2011.00906.

  2. H.M. Lin, M.H. Cho, H.Z. Tang, and W. Cai , icBIE: A boundary integral equation program for an ion channel in layered membrane/electrolyte media, 2013.

  3. H.Z. Tang, Gas-kinetic flux splitting methods for second-moment closures, preprint, 2000.

  4. H.Z. Tang and K. Xu, Positivity-preserving analysis of gas-kinetic Beam scheme for the compressible Euler equations, 2000.

  5. H.Z. Tang and K. Xu, Positivity of an implicit kinetic scheme for the compressible Euler equations, preprint, 2000.

  6. K. Xu and H.Z. Tang, An explanation for the sonic point glitch, 2000.

• Others

  1. 《中国大百科全书》第三版的 计算数学的部分词条.
  2. 部分计算流体词条, 《数学大辞典》, 王元, 科学出版社, 2010 年8月.
  3. 《计算数学》的“北京计算数学学会专辑”(2016年38卷3期)的前言, 刊出日期是 2016-08-15.
  4. 《湘潭大学自然科学学报》的“数学专辑”(2018年38卷1期), 刊出日期是 2018-02; 2019年39卷1期, 刊出日期是 2019-02.
  5. One of three editors of a special issue for numerical methods and applications in fluid mechanics of Applied Mathematics and Mechanics (English Edition) , volume 37, issue 11, 2016. [Published: 2016-10-29]
  6. Editor of "International Congress on Industrial and Applied Mathematics Beijing 2015" Intelligencer.

• Preparing journal articles of Elsevier with LaTeX

  1. 下载elsarticle.cls, 和 elsarticle-template-num.tex.
  2. 直接在elsarticle-template-num.tex中进行编辑文章。

     下列命令可以实现稿件的两倍行间距
        \usepackage{setspace}
         \doublespacing
     
     行间距的其他控制命令
         \renewcommand{\baselinestretch}{2}
     或者
          \linespread{1.6}
     

• Database

  1. 美国《数学评论(Mathematical Review)》: Mathscinet

  2. 德国《数学文摘(Zentralblatt MATH)》: 简写为Zbl MATH

  3. 中国图书馆分类法

  4. Physics and Astronomy Classification Scheme (PACS)

  5. AMS subject classifications

  6. Web-of-Science

  7. scholar.google.com

  8. LerPub查询期刊分区

• 其它学术链接

  ResearcherID: E-5610-2011;    ResearchGate;    科研之友 ID: 48296242;    MathSciNet ID: 365422;    semanticscholar ID: 3234646    ORCID ID: 0000-0001-9129-0522