Mailing address:
Room 03.017, Emil-Fischer-Straße 40, 97074 Würzburg, Germany
Julius-Maximilians-Universität Würzburg
Email: junming.duan@uni-wuerzburg.de

       

Welcome to my webpage. I am currently a Humboldt Research Fellow at Institute of Mathematics, University of Würzburg, working with Prof. Dr. Christian Klingenberg. Until September 2023, I was a postdoctoral researcher at MCSS, EPFL, working with Prof. Jan S. Hesthaven. I received my B.Sc. (2016) and Ph.D. (2021) at Peking University, in School of Mathematical Sciences, supervised by Prof. Huazhong Tang. My research primarily involves high-order accurate numerical methods and reduced-order modeling.

Research Interests

  • Numerical methods for hyperbolic conservation laws
  • Computational fluid dynamics
  • High-order accurate numerical methods
  • Structure-preserving methods
  • Moving mesh methods
  • Reduced-order modeling
  • Machine learning enhanced data-driven methods

Education

Ph.D. in Computational Mathematics

Peking University, China | September 2016 -- July 2021
Thesis: Entropy stable numerical methods for special relativistic (magneto)hydrodynamics
Advisor: Prof. Huazhong Tang

B.Sc. in Information and Computing Science

Peking University, China | September 2012 -- July 2016

Academic Positions

Research Publications

Preprints

  1. Z.H. Zhang, H.Z. Tang, and J.M. Duan*, High-order accurate well-balanced energy stable finite difference schemes for multi-layer shallow water equations on fixed and adaptive moving meshes, submitted to J. Comput. Phys., 2023. [arXiv]
  2. J.M. Duan, B. Kovacic, and J.S. Hesthaven, Multi-GPU accelerated high-order schemes for hyperbolic conservation laws on adaptive moving meshes, in preparation.

Journal Articles

  1. J.M. Duan, Q. Wang, and J.S. Hesthaven, Machine learning enhanced aerodynamic forces prediction based on sparse pressure sensor inputs, accepted by AIAA J., 2024. [arXiv]
  2. J.M. Duan* and J.S. Hesthaven, Non-intrusive data-driven reduced-order modeling for time-dependent parametrized problems, J. Comput. Phys., 497: 112621, 2024. [arXiv][journal]
  3. J. Wang, J.M. Duan, Z.W. Ma, and W. Zhang, An adaptive moving mesh finite difference scheme for tokamak magneto-hydrodynamic simulations, Comput. Phys. Commun., 294: 108951, 2024. [journal]
  4. Z.H. Zhang, J.M. 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: 112451, 2023. [arXiv][journal]
  5. S.T. Li, J.M. Duan, and H.Z. 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: 115311, 2022. [arXiv][journal]
  6. J.M. Duan and H.Z. Tang, High-order accurate entropy stable adaptive moving mesh finite difference schemes for special relativistic (magneto)hydrodynamics, J. Comput. Phys., 456: 111038, 2022. [arXiv][journal]
  7. J.M. Duan and H.Z. Tang, An analytical solution of the isentropic vortex problem in the special relativistic magnetohydrodynamics, J. Comput. Phys., 456: 110903, 2022. [arXiv][journal]
  8. J.M. Duan and H.Z. Tang, High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics, J. Comput. Phys., 431: 110136, 2021. [arXiv][journal]
  9. J.M. Duan and H.Z. Tang, Entropy stable adaptive moving mesh schemes for 2D and 3D special relativistic hydrodynamics, J. Comput. Phys., 426: 109949, 2021. [arXiv][journal]
  10. 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: 109731, 2020. [arXiv][journal]
  11. 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]
  12. 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]
  13. 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: 507-543, 2019. [arXiv][journal]
  14. 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]
  15. J.M. Duan, Y.Y. Kuang, and H.Z. Tang, Model reduction of a two-dimensional kinetic swarming model by operator projections, East Asian J. Appl. Math., 8(1): 151-180, 2018. [arXiv][journal]

Major Awards & Honors

Conferences & Talks

Teaching Assistant

Supervision

Professional Services

Skills

C, C++, Python, Julia, MATLAB, Fortran, MPI, PyTorch, OpenFOAM, PETSc, Linux shell, LaTeX