TANG Huazhong
Professor
1379E
hztang@math.pku.edu.cn
Education
Ph.D., Nanjing University of Aeronautics and Astronautics, 1996.
M.S., Nanjing University of Aeronautics and Astronautics, 1993.
B.S., Soochow University, 1990.
M.S., Nanjing University of Aeronautics and Astronautics, 1993.
B.S., Soochow University, 1990.
Research Interests
Numerical methods for hyperbolic problems, computational fluid dynamics
1. Numerical methods for conservation laws
2. Numerical methods for relativistic hydrodynamics
3. Numerical methods for nonlinear Dirac equations
4. Model reduction of a kinetic swarming model
1. Numerical methods for conservation laws
2. Numerical methods for relativistic hydrodynamics
3. Numerical methods for nonlinear Dirac equations
4. Model reduction of a kinetic swarming model
Selected Publication
D.H. Yu and H.Z. Tang, Numerical Solutions of Differential Equations, 2nd edition, Science Press, Beijing, China, 2018. (in Chinese)
D.H. Yu and H.Z. Tang, Numerical Solutions of Differential Equations, 1st edition, Science Press, Beijing, China, 2003. (in Chinese)
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, accepted by SCIENCE CHINA Mathematics, Aug. 24, 2020.
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., July 24, 2020, 109731.
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., 27(2017), 1871-1928.
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.
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.
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.
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.
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.
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.
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.
D.H. Yu and H.Z. Tang, Numerical Solutions of Differential Equations, 1st edition, Science Press, Beijing, China, 2003. (in Chinese)
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, accepted by SCIENCE CHINA Mathematics, Aug. 24, 2020.
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., July 24, 2020, 109731.
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., 27(2017), 1871-1928.
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.
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.
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.
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.
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.
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.
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.