Research Publications

Appeared or Accepted

1. J.M. Duan and H.Z. Tang, High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics, J. Comput. Phys., 431(Apr 15): 110136, 2021. [arXiv][journal]
2. J.M. Duan and H.Z. Tang, Entropy stable adaptive moving mesh schemes for 2D and 3D special relativistic hydrodynamics, J. Comput. Phys., 426(Feb 1): 109949, 2021. [arXiv][journal]
3. 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(Nov 15): 109731, 2020. [arXiv][journal]
4. 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): 1-29, 2020. [arXiv][journal]
5. J.M. Duan and H.Z. Tang, An efficient ADER discontinuous Galerkin scheme for directly solving Hamilton-Jacobi equation, J. Comput. Math., 38(1): 58-83, 2020. [arXiv][journal]
6. 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(Nov 1): 507-543, 2019. [arXiv][journal]
7. J.M. Duan and H.Z. Tang, A second-order accurate scheme for a kinetic equation of two-dimensional Vicsek swarming model, Nat. Sci. J. Xiangtan Univ., 41(1): 1-14, 2019. (in Chinese) [journal]
8. 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][journal]

Preprints

1. J.M. Duan and H.Z. Tang, An analytical solution of the isentropic vortex problem in the special relativistic magnetohydrodynamics, submitted to J. Comput. Phys., arXiv:2107.01966. [arXiv]
2. J.M. Duan and H.Z. Tang, High-order accurate entropy stable adaptive moving mesh finite difference schemes for special relativistic (magneto)hydrodynamics, arXiv:2107.12027. [arXiv]

Conferences

• Symposium on High-Fidelity Numerical Simulation of Fluid Problems, Peking University, Beijing, China, Jun 05-07, 2021. (Talk: Entropy stable schemes for RHD)
• Forum of Numerical Methods and Applications in Fluids, Xiangtan University, Xiangtan, China, Dec 11-13, 2020. (Talk: Entropy stable adaptive moving mesh schemes for RHD)
• Student Forum of Chinese Society of Industrial and Applied Mathematics, online, Nov 14-15, 2020. (Talk: Entropy stable adaptive moving mesh schemes for RHD)
• The National Mechanics Graduate Student Forum, Peking University, Beijing, China, Nov 06-08, 2020. (Talk: High-order entropy stable DG schemes for RMHD)
• Selection of Excellent Young Scholar's paper of Beijing Society of Computational Mathematics, online, Aug 30, 2020. (Talk: PCP Lagrangian scheme for RHD. The first prize.)
• Trends of High-Order Numerical Methods for Computational Fluid Dynamics and Their Applications, Beijing, China, Jan 10-13, 2020. (Attended)
• Annual Meeting on High Resolution Method for Multi-Material Hydrodynamics of Science Challenge Project, Xiamen University, Xiamen, China, Nov 29-Dec 01, 2019. (Talk: PCP Lagrangian scheme for RHD)
• Sino-German Workshop on Advanced Numerical Methods for Hyperbolic Balance Laws, Beijing Institute of Applied Physics and Computational Mathematics, Beijing, China, Sep 25-27, 2019. (Attended)
• Workshop on Numerical Methods for Complex Physical Problems, Nanjing University of Aeronautics and Astronautics, Nanjing, China, Aug 28-30, 2019. (Talk: High-order entropy stable finite difference schemes for RHD)
• The 12th National Annual Meeting of Computational Mathematics, Harbin, China, Jul 31-Aug 04, 2019. (Talk: High-order entropy stable finite difference schemes for RHD)
• Graduate Student Forum of Chinese Society of Industrial and Applied Mathematics, Academy of Mathematics and System Science, Chinese Academy of Science, Beijing, China, Jun 22, 2019. (Talk: PCP Lagrangian scheme for RHD)
• Annual Meeting of Center for Applied Physics and Technology, Peking University, Beijing, China, Dec 13, 2018. (Talk: PCP Lagrangian scheme for RHD)
• Annual Meeting of Science Challenge Project, Jilin University, Changchun, China, Nov 17-19, 2018. (Poster: PCP Lagrangian scheme for RHD)
• Beijing Seminar on Computational Fluid Dynamics, Beijing Institute of Applied Physics and Computational Mathematics, Beijing, China, Nov 11, 2018. (Talk: PCP Lagrangian scheme for RHD)
• The 16th Annual Meeting of Chinese Industrial and Applied Mathematics, Chengdu, China, Sep 13-16, 2018. (Attended)
• The 2nd Workshop on Simulation and Algorithm for Complex Physical Problems, Xiangtan University, Xiangtan, China, Apr 27-30, 2018. (Attended)
• Annual Meeting of Science Challenge Project, Xiamen University, Xiamen, China, Nov 10-12, 2017. (Attended)
• The 11th National Annual Meeting of Computational Mathematics, Xian, China, Jul 21-23, 2017. (Attended)
• The 5th International Conference on Numerical Simulation for Multi-material and Multi-physics Flows, Beijing Institute of Applied Physics and Computational Mathematics, Beijing, China, Jul 03-07, 2017. (Attended)

Referee for Journals

• Journal of Computational Physics

Skills