Publications

Books
1. 余德浩和汤华中, <<微分方程数值解法>>, 科学出版社, 2003年10月. 书号: 978-7-03-011312-2
  D.H. Yu and H.Z. Tang, Numerical Solutions of Differential Equations, 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]
2. TBA
Publications in Refereed Journals (Appeared or Accepted)
1. X. Ji and H.Z. Tang, High-order accurate Runge-Kutta (local) discontinuous Galerkin methods for one- and two-dimensional fractional diffusion equations, accepted by Numer. Math. Theor. Meth. Appl., 2011. LMAM Report 2010-029
2. 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., 2012. doi:10.1007/s10915-011-9567-2 LMAM Report 2010-045
3. P. He and H.Z. Tang, An adaptive moving mesh method for two-dimensional relativistic magnetohydrodynamics, Computers & Fluids ,60(2012),1-20. doi:10.1016/j.compfluid.2012.02.024 LMAM Report 2011-022
4. Z.C. Yang, and H.Z. Tang, A direct Eulerian GRP scheme for relativistic hydrodynamics: Two-dimensional case, J. Comput. Phys., 231 (2012), pp.2116-2139 doi:10.1016/j.jcp.2011.11.026 LMAM Report 2011-023
5. 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
6. Z.C. Yang, P. He, and H.Z. Tang, A direct Eulerian GRP scheme for relativistic hydrodynamics: One-dimensional case, J. Comput. Phys., 230(22), 2011,7964-7987. doi:10.1016/j.jcp.2011.07.004. LMAM Report 2011-002
7. 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
  
  [Citation Index]
8. H.Z. Tang, K. Xu, and C.P. Cai, Gas-kinetic BGK scheme for three dimensional magnetohydrodynamics, Numer. Math. Theor. Meth. Appl., 3(4),2010, 387-404. LMAM Report 2010-031
  
  [Citation Index]
9. EE Han, J.Q. Li, and H.Z. Tang, An adaptive GRP scheme for compressible fluid flows, J. Comput. Phys., 229(1), 2010, 1448-1466. LMAM Report 2009-039
  
  [Citation Index]
10. 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
  
  [Citation Index]
11. 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
  
  [Citation Index]
12. G.X. Chen, H.Z. Tang, and P.W. Zhang, Second-order accurate Godunov scheme for multicomponent flows on moving triangular meshes, Journal of Scientific Computing, 34(2008), 64-86. LMAM Report 2007-017
  
  [Citation Index]
13. 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. LMAM Report 2005-096
  
  [Citation Index]
14. H.Z. Tang and G. Warnecke, On convergence of a domain decomposition method for hyperbolic conservation laws, SIAM J. Numer. Anal., 45(4), 1453-1471, July 2007. DOI: 10.1137/040607423. LMAM report 2003-167
  [Citation Index]
15. Z.R. Zhang and H.Z. Tang, An adaptive phase field method for the mixture of two incompressible fluids, Computers & Fluids, 36(8), 2007, 1307-1318. doi: 10.1016/j.compfluid.2006.12.003 . LMAM report 2006-045
  [Citation Index]
16. H. Wang and H.Z. Tang, An efficient adaptive mesh redistribution method for a nonlinear Dirac equation, J. Comput. Phys., 222(1), 176-193, 1 March 2007. doi:10.1016/j.jcp.2006.07.011. Research Report 2006-11, LMAM, PKU.
  [Citation Index]
17. J.Q. Han and H.Z. Tang, An adaptive moving mesh method for multidimensional ideal magnetohydrodynamics, J. Comput. Phys., 220(2), 791-812, 10 January 2007. doi:10.1016/j.jcp.2006.05.031. Research Report 42, LMAM, PKU, 2005.
  [Citation Index]
18. 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(2), 733-748, Dec. 2006. doi:10.1016/j.jcp.2006.04.009. Research Report 2005-72, LMAM, PKU
  [Citation Index]
19. H.Z. Tang and T.G. Liu, A note on the conservative schemes for the Euler equations, J. Comput. Phys., 218(2), 451-459, 1 November 2006. doi:10.1016/j.jcp.2006.03.035. SCI. Research Report 2006-07, LMAM, PKU.
  [Citation Index]
20. 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), 121-140, MAR 2006. SCI&EI
  Also see Preprint 03-12, Fakult\"at f\"ur Mathematik, Otto-von-Guericke-Universit?t Magdeburg, Universit\"atsplatz 2, 39106 Magdeburg, Germany
  [Citation Index]
21. H.Z. Tang, A moving mesh method for the Euler flow calculations using a directional monitor function, Communications in Computational Physics (CiCP), 1(4), 656-676, Aug. 2006 SCI
  [Citation Index]
22. Shihong Shao and H.Z. Tang, Higher-order accurate Runge-Kutta discontinuous Galerkin methods for a nonlinear Dirac model, Discrete and Continuous Dynamical Systems Series B (DCDS-B), 6(3), 623-640, May 2006. SCI. Research Report 2005-14, LMAM, PKU
  [Citation Index]
23. S.H. Shao and H.Z. Tang, Interaction for the solitary waves of a nonlinear Dirac model, Physics Letters A, 345(1-3), 119-128, SEP 26 2005.
  [Citation Index]
  A relatively unpublished paper is Research Report 2004-101, LMAM, PKU
```
Website of nonlinear Dirac model
```
24. P.A. Zegeling, W.D. de Boer, and H.Z. Tang, Robust and efficient adaptive moving mesh solution of the 2-D Euler e quations, Contemporary Mathematics, 383(2005), 375-386. Preprint 1310, Department of Mathematics, Utrecht University, 2004.
  [Citation Index]
25. 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.
  [Citation Index]
26. H.Z. Tang, On the sonic point glitch, J. Comput. Phys., 202(2), 507-532, JAN 20 2005. SCI. Research Report of LMAM No.165, 2003.
  [Citation Index]
  This is an extended version of the paper entitled "An explanation for the sonic point glitch".
27. H.Z. Tang and G. Warnecke, A Runge-Kutta discontinuous Galerkin method for the Euler equations, Computers & Fluids, 34(3), 375-398, MAR 2005. 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
  [Citation Index] [1D FORTRAN code]
28. H.Z. Tang, Kinetic flux vector splitting for Euler equations with general pressure laws, J. Comput. Math., 22(4), 622-632, JUL 2004. SCI&EI.
  [Citation Index]
29. H.Z. Tang and G. Warnecke, A note on (2k+1)-point conservative monotone schemes, ESAIM-Mathematical Modeling and Numerical Analysis (M2AN), 38(2), 345-357, MAR-APR 2004. SCI Research Report of LMAM No.181, 2003.
  [Citation Index]
  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'.
30. H.Z. Tang, T. Tang, and K. Xu, A gas-kinetic scheme for shallow-water equations with source terms, J. Appl. Math. Phys.(ZAMP), 55(3), 365-382, MAY 2004. SCI. Research Report of LMAM No.53, 2001.
  [Citation Index]
31. H.Z. Tang, Solution of the shallow-water equations using an adaptive moving mesh method, Inter. J. Numer. Methods in Fluids, 44(7), 789-810, MAR 10 2004. SCI&EI. Research Report of LMAM No.166, 2003.
  [Citation Index]
32. H.Z. Tang and T. Tang, Adaptive mesh methods for one- and two-dimensional hyperbolic conservation laws ,SIAM J. Numer. Anal., 41(2), 487-515, 2003. SCI&EI. Research Report of LMAM No.3, 2002.
  [Citation Index]
33. H.Z. Tang, T. Tang and P.W. Zhang, An adaptive mesh redistribution method for nonlinear Hamilton-Jacobi equationsin two- and three-dimensionns, J. Comput. Phys., 188(2), 543-572, JUL 1 2003. SCI. Research Report of LMAM No.4, 2002. doi:10.1016/S0021-9991(03)00192-X
  [Citation Index]
34. 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]
35. H.Z. Tang and H.M. Wu, Gas-kinetic flux-vector splitting methods for multifluid flow calculation, CFD Journal, 10(4), 542-547, JAN 2002.
  [Citation Index]
36. H.Z. Tang and H.M. Wu, On the convergence of implicit schemes for conservation laws, J. Comput. Math., 20(2), 121-128, MAR 2002. SCI&EI.
  [Citation Index]
37. Tang, HZ, On the central relaxing scheme II: Systems of hyperbolic conservation laws, JOURNAL OF COMPUTATIONAL MATHEMATICS, 19(6), 571-582, NOV 2001. SCI&EI
  [Citation Index]
38. H.Z. Tang and K. Xu, Pseudoparticle representation and positivity analysis of explicit and implicit Steger-Warming FVS schemes, ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK(ZAMP), 52(5), 847-858, SEP 2001. SCI
  [Citation Index]
39. Tang, HZ; Wu, HM, On the cell entropy inequality for the fully discrete relaxing schemes, J. Comput. Math., 19(5), 511-518, SEP 2001. SCI&EI
  [Citation Index]
40. H.Z. Tang, Nonlinear stability of the relaxing schemes for scalar conservation laws, Applied Numerical Mathematics, 38(3), 347-359, AUG 2001. SCI&EI
  [Citation Index]
41. H.Z. Tang, P. Cheng, and K. Xu, Numerical simulations of resonant oscillations in a tube, NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 40(1), 37-54, JUL 2001. SCI
  [Citation Index]
42. H.Z. Tang and H.M. Wu, The relaxing schemes for Hamilton-Jacobi equations, J. Comput. Math., 19(3), 231-240, MAY 2001. SCI&EI
  [Citation Index]
43. H.Z. Tang, T. Tang, and J. H. Wang, On numerical entropy inequalities for second order relaxed schemes, Quarterly of Applied Mathematics, 59(2), 391-399, JUN 2001. SCI.
  [Citation Index]
44. H.Z. Tang, Gas-kinetic scheme for the compressible Euler equations of real gases, Computers & Mathematics with Applications, 41(5-6), 723-734, MAR 2001. SCI.
  [Citation Index]
45. 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), 129-138, MAY 2001
  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)
  [Citation Index]
46. 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), 469-476, NOV 2001.
  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)
  [Citation Index]
47. 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), 43-52, MAR 2001.
  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)
  [Citation Index]
48. H.Z. Tang and K. Xu, A high-order gas-kinetic methodfor multidimensional ideal magnetohydrodynamics, J. Comput. Phys., 165(1), 69-88, NOV 20 2000. SCI.
  [Citation Index]
49. Tang, HZ; Wu, HM, On the explicit compact schemes II: Extension of the STCE/CE method on nonstaggered grids, J. Comput. Math., 18(5), 467-480, SEP 2000. SCI
  [Citation Index]
50. H.Z. Tang and H.M. Wu, Kinetic flux vector splitting for radiation hydrodynamical equations, Computer & Fluids, 29(8), 917-933, NOV 2000. SCI&EI
  [Citation Index]
51. Tang, HZ, On the central relaxing schemes I: Single conservation laws, J. Comput. Math., 18(3), 313-324, MAY 2000. SCI&EI.
  [Citation Index]
52. Tang, HZ; Wu, HM, On a cell entropy inequality of the relaxing schemes for scalar conservation laws, J. Comput. Math., 18(1), 69-74, JAN 2000. SCI&EI
  [Citation Index]
53. 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),19-28, 2000. EI
  [Citation Index]
54. 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), 183-190, 2000.
  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]
55. H.Z. Tang and H.M. Wu, High resolution KFVS finite volume methods for multicomponent flow calculations, Chinese Journal of Computational Physics (计算物理), 17(1-2), 179-186, MAR 2000.
  [Citation Index]
56. 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), 369-378, JUL 1999. SCI&EI
  [Citation Index]
57. 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), 375-384, AUG 1999; 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), 375-384, AUG 1999(in Chinese); Chinese J. Num. Math. & Appl., 21(4), 93-103 1999(in English)
  [Citation Index]
58. H.Z. Tang, High-order gas-kinetic methods for ideal magnetohydrodynamics, Communications in Nonlinear Science & Numerical Simulation, 4(2), 141-146, JUN 1999. EI
  [Citation Index]
59. H.Z. Tang, Numerical entropy conditions for implicit relaxing difference approximations to scalar conservation laws, Mini-Micro Systems, 19(1998), supp., 78-85.
  [Citation Index]
60. 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), 476-480, AUG 1996. (in Chinese), EI
  [Citation Index]
61. N. Zhao and H.Z. Tang, High resolution schemes and discrete entropy conditions for 2-D linear conservation laws, Journal of Computational Mathematics, 13(3), 281-289, 1995. SCI
  [Citation Index]
62. H.Z. Tang and J.Z. Dai, A class of group explicit finite difference schemes for Burgers' equations, Journal of Nanjing University of Science and Technology, 19(1), 53-57, FEB 1995. (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., “Developing a High-order Gaskinetic BGK Scheme for Magnetogasdynamics,” AIAA Paper 2007-1441, 45th AIAA Aerospace Sciences Meeting and Exhibit, 7-10 January, 2007, Reno, Nevada.
2. 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., pp.119-122.
3. 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., pp.123-126.
4. T. Tang and H.Z. Tang, Computational Fluid Dynamics with mesh adaptivity, Discretization Methods and Numerical Algorithm for Differential Equations,2002,P28-38.
5. 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, pp.94-106.
6. 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.
7. 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, pp.346-372.
8. 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, pp.145-151.
9. 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, pp.548-553.
10. 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.
11. 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.
12. 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. S.H. Shao and H.Z. Tang, Interaction for solitary waves with a phase difference in a nonlinear Dirac model, http://arxiv.org/pdf/nlin.SI/0604033, 2006. Research Report 2005-96, LMAM, PKU.
2. H.Z. Tang, Gas-kinetic flux splitting methods for second--moment closures, preprint, 2000.
3. H.Z. Tang and K. Xu, Positivity--preserving analysis of gas-kinetic Beam scheme for the compressible Euler equations, 2000.
4. H.Z. Tang and K. Xu, Positivity of an implicit kinetic scheme for the compressible Euler equations, preprint, 2000.
5. K. Xu and H.Z. Tang, An explanation for the sonic point glitch, 2000.
Others
1. 部分计算流体词条，《数学大辞典》, 王元, 科学出版社, 2010 年8月。

Preparing journal articles of Elsevier with LaTeX

下载elsarticle.cls，和 elsarticle-template-num.tex.

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>>: Mathscinet--Mathematical Review
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. 2000 AMS subject classifications
6. Web-of-Science
7. (EI) Engineering Village 2 [Search for {Tang, Hua-Zhong}, {Tang, H.-Z.},{Tang, Huazhong}]
8. scholar.google.com

2010 Impact Factor of Some Journals

APPL NUMER MATH       0.919

COMMUN COMPUT PHYS    1.835
COMPUT FLUIDS         1.433
COMPUT MATH APPL      1.472

DISCRETE CONT DYN-B   0.874

ESAIM-MATH MODEL NUM  1.202
     
INT J NUMER METH FL   1.058

J COMPUT MATH         0.760
J COMPUT PHYS         2.345
J SCI COMPUT          1.238

MATH COMPUT           1.382

NUMER HEAT TR A-APPL  1.183
NUMER MATH-THEORY ME  0.714   (NMTMA) 

PHYS LETT A           1.963

Q APPL MATH           0.697

SIAM J NUMER ANAL     1.661
SIAM J SCI COMPUT     3.016

Z ANGEW MATH PHYS     1.29

ResearcherID: E-5610-2011
ResearcherID: E-5610-2011

Publications

Books

余德浩和汤华中, <<微分方程数值解法>>, 科学出版社, 2003年10月. 书号: 978-7-03-011312-2 D.H. Yu and H.Z. Tang, Numerical Solutions of Differential Equations, 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

TBA

Publications in Refereed Journals (Appeared or Accepted)

X. Ji and H.Z. Tang, High-order accurate Runge-Kutta (local) discontinuous Galerkin methods for one- and two-dimensional fractional diffusion equations, accepted by Numer. Math. Theor. Meth. Appl., 2011. LMAM Report 2010-029

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., 2012. doi:10.1007/s10915-011-9567-2 LMAM Report 2010-045

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

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

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

Z.C. Yang, P. He, and H.Z. Tang, A direct Eulerian GRP scheme for relativistic hydrodynamics: One-dimensional case, J. Comput. Phys., 230(22), 2011,7964-7987. doi:10.1016/j.jcp.2011.07.004. LMAM Report 2011-002

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

H.Z. Tang, K. Xu, and C.P. Cai, Gas-kinetic BGK scheme for three dimensional magnetohydrodynamics, Numer. Math. Theor. Meth. Appl., 3(4),2010, 387-404. LMAM Report 2010-031

EE Han, J.Q. Li, and H.Z. Tang, An adaptive GRP scheme for compressible fluid flows, J. Comput. Phys., 229(1), 2010, 1448-1466. LMAM Report 2009-039

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

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

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

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. LMAM Report 2005-096

H.Z. Tang and G. Warnecke, On convergence of a domain decomposition method for hyperbolic conservation laws, SIAM J. Numer. Anal., 45(4), 1453-1471, July 2007. DOI: 10.1137/040607423. LMAM report 2003-167 [Citation Index]

Z.R. Zhang and H.Z. Tang, An adaptive phase field method for the mixture of two incompressible fluids, Computers & Fluids, 36(8), 2007, 1307-1318. doi: 10.1016/j.compfluid.2006.12.003 . LMAM report 2006-045 [Citation Index]

H. Wang and H.Z. Tang, An efficient adaptive mesh redistribution method for a nonlinear Dirac equation, J. Comput. Phys., 222(1), 176-193, 1 March 2007. doi:10.1016/j.jcp.2006.07.011. Research Report 2006-11, LMAM, PKU. [Citation Index]

J.Q. Han and H.Z. Tang, An adaptive moving mesh method for multidimensional ideal magnetohydrodynamics, J. Comput. Phys., 220(2), 791-812, 10 January 2007. doi:10.1016/j.jcp.2006.05.031. Research Report 42, LMAM, PKU, 2005. [Citation Index]

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(2), 733-748, Dec. 2006. doi:10.1016/j.jcp.2006.04.009. Research Report 2005-72, LMAM, PKU [Citation Index]

H.Z. Tang and T.G. Liu, A note on the conservative schemes for the Euler equations, J. Comput. Phys., 218(2), 451-459, 1 November 2006. doi:10.1016/j.jcp.2006.03.035. SCI. Research Report 2006-07, LMAM, PKU. [Citation Index]

H.Z. Tang, A moving mesh method for the Euler flow calculations using a directional monitor function, Communications in Computational Physics (CiCP), 1(4), 656-676, Aug. 2006 SCI

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

S.H. Shao and H.Z. Tang, Interaction for the solitary waves of a nonlinear Dirac model, Physics Letters A, 345(1-3), 119-128, SEP 26 2005.

P.A. Zegeling, W.D. de Boer, and H.Z. Tang, Robust and efficient adaptive moving mesh solution of the 2-D Euler e quations, Contemporary Mathematics, 383(2005), 375-386. Preprint 1310, Department of Mathematics, Utrecht University, 2004.

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.

H.Z. Tang, On the sonic point glitch, J. Comput. Phys., 202(2), 507-532, JAN 20 2005. SCI. Research Report of LMAM No.165, 2003.

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

H.Z. Tang and G. Warnecke, A note on (2k+1)-point conservative monotone schemes, ESAIM-Mathematical Modeling and Numerical Analysis (M2AN), 38(2), 345-357, MAR-APR 2004. SCI Research Report of LMAM No.181, 2003.

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

H.Z. Tang, Solution of the shallow-water equations using an adaptive moving mesh method, Inter. J. Numer. Methods in Fluids, 44(7), 789-810, MAR 10 2004. SCI&EI. Research Report of LMAM No.166, 2003.

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

H.Z. Tang, T. Tang and P.W. Zhang, An adaptive mesh redistribution method for nonlinear Hamilton-Jacobi equationsin two- and three-dimensionns, J. Comput. Phys., 188(2), 543-572, JUL 1 2003. SCI. Research Report of LMAM No.4, 2002. doi:10.1016/S0021-9991(03)00192-X

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.

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

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

Tang, HZ, On the central relaxing scheme II: Systems of hyperbolic conservation laws, JOURNAL OF COMPUTATIONAL MATHEMATICS, 19(6), 571-582, NOV 2001. SCI&EI

H.Z. Tang and K. Xu, Pseudoparticle representation and positivity analysis of explicit and implicit Steger-Warming FVS schemes, ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK(ZAMP), 52(5), 847-858, SEP 2001. SCI

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

H.Z. Tang, Nonlinear stability of the relaxing schemes for scalar conservation laws, Applied Numerical Mathematics, 38(3), 347-359, AUG 2001. SCI&EI

H.Z. Tang, P. Cheng, and K. Xu, Numerical simulations of resonant oscillations in a tube, NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 40(1), 37-54, JUL 2001. SCI

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

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

H.Z. Tang, Gas-kinetic scheme for the compressible Euler equations of real gases, Computers & Mathematics with Applications, 41(5-6), 723-734, MAR 2001. SCI.

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), 129-138, MAY 2001 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)

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), 469-476, NOV 2001. 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)

H.Z. Tang and K. Xu, A high-order gas-kinetic methodfor multidimensional ideal magnetohydrodynamics, J. Comput. Phys., 165(1), 69-88, NOV 20 2000. SCI.

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

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

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

Tang, HZ; Wu, HM, On a cell entropy inequality of the relaxing schemes for scalar conservation laws, J. Comput. Math., 18(1), 69-74, JAN 2000. SCI&EI

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),19-28, 2000. EI

H.Z. Tang and H.M. Wu, High resolution KFVS finite volume methods for multicomponent flow calculations, Chinese Journal of Computational Physics (计算物理), 17(1-2), 179-186, MAR 2000.

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), 369-378, JUL 1999. SCI&EI

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

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

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), 476-480, AUG 1996. (in Chinese), EI

N. Zhao and H.Z. Tang, High resolution schemes and discrete entropy conditions for 2-D linear conservation laws, Journal of Computational Mathematics, 13(3), 281-289, 1995. SCI

H.Z. Tang and J.Z. Dai, A class of group explicit finite difference schemes for Burgers' equations, Journal of Nanjing University of Science and Technology, 19(1), 53-57, FEB 1995. (in Chinese), EI.

Publications in Proceedings, Lecture Notes, and Technical Reports

Cai, C., Tang, H. and Kun, X., “Developing a High-order Gaskinetic BGK Scheme for Magnetogasdynamics,” AIAA Paper 2007-1441, 45th AIAA Aerospace Sciences Meeting and Exhibit, 7-10 January, 2007, Reno, Nevada.

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., pp.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., pp.123-126.

T. Tang and H.Z. Tang, Computational Fluid Dynamics with mesh adaptivity, Discretization Methods and Numerical Algorithm for Differential Equations,2002,P28-38.

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, pp.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, pp.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, pp.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, pp.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

S.H. Shao and H.Z. Tang, Interaction for solitary waves with a phase difference in a nonlinear Dirac model, http://arxiv.org/pdf/nlin.SI/0604033, 2006. Research Report 2005-96, LMAM, PKU.

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

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

余德浩和汤华中, <<微分方程数值解法>>, 科学出版社, 2003年10月. 书号: 978-7-03-011312-2
D.H. Yu and H.Z. Tang, Numerical Solutions of Differential Equations, 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

H.Z. Tang and G. Warnecke, On convergence of a domain decomposition method for hyperbolic conservation laws, SIAM J. Numer. Anal., 45(4), 1453-1471, July 2007. DOI: 10.1137/040607423. LMAM report 2003-167
[Citation Index]

Z.R. Zhang and H.Z. Tang, An adaptive phase field method for the mixture of two incompressible fluids, Computers & Fluids, 36(8), 2007, 1307-1318. doi: 10.1016/j.compfluid.2006.12.003 . LMAM report 2006-045
[Citation Index]

H. Wang and H.Z. Tang, An efficient adaptive mesh redistribution method for a nonlinear Dirac equation, J. Comput. Phys., 222(1), 176-193, 1 March 2007. doi:10.1016/j.jcp.2006.07.011. Research Report 2006-11, LMAM, PKU.
[Citation Index]

J.Q. Han and H.Z. Tang, An adaptive moving mesh method for multidimensional ideal magnetohydrodynamics, J. Comput. Phys., 220(2), 791-812, 10 January 2007. doi:10.1016/j.jcp.2006.05.031. Research Report 42, LMAM, PKU, 2005.
[Citation Index]

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(2), 733-748, Dec. 2006. doi:10.1016/j.jcp.2006.04.009. Research Report 2005-72, LMAM, PKU
[Citation Index]

H.Z. Tang and T.G. Liu, A note on the conservative schemes for the Euler equations, J. Comput. Phys., 218(2), 451-459, 1 November 2006. doi:10.1016/j.jcp.2006.03.035. SCI. Research Report 2006-07, LMAM, PKU.
[Citation Index]

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), 129-138, MAY 2001
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)

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), 469-476, NOV 2001.
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)