Email: junming.duan@epfl.ch

Mailing address:
MATH-MCSS
School of Basic Sciences
École Polytechnique Fédérale de Lausanne
MA C2 643
Station 8, 1015 Lausanne, Switzerland

       

I am a postdoctoral researcher at MCSS, EPFL, working with Prof. Jan Hesthaven. Previously, I got my B.Sc. (2016) and Ph.D. (2021) from School of Mathematical Sciences in Peking University, advised by Prof. Huazhong Tang.

Research interests

  • Numerical methods for hyperbolic conservation laws
  • Computational fluid dynamics
  • High-order accurate methods
  • Structure-preserving methods
  • Moving mesh methods

Education

Ph.D. in Computational Mathematics

Peking University (Sep 2016 -- Jul 2021)
Thesis: Entropy stable numerical methods for special relativistic hydrodynamics
Advisor: Prof. Huazhong Tang

B.Sc. in Information and Computing Science

Peking University (Sep 2012 -- Jul 2016)

Employment

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]

Awards & Honors

Conferences

Teaching (as teaching assistant)

Referee for Journals

Skills

Be familiar with C, C++, Matlab, Linux shell, Python, Latex