**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.

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

Peking University (Sep 2016 -- Jul 2021)

Thesis: Entropy stable numerical methods for special
relativistic hydrodynamics

Advisor: Prof. Huazhong Tang

Peking University (Sep 2012 -- Jul 2016)

**Postdoc**, MCSS, École Polytechnique Fédérale de Lausanne (EPFL), Sep, 2021 -- present.

**J.M. Duan**and H.Z. Tang, High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics,, 431(Apr 15): 110136, 2021. [arXiv][journal]**J. Comput. Phys.****J.M. Duan**and H.Z. Tang, Entropy stable adaptive moving mesh schemes for 2D and 3D special relativistic hydrodynamics,, 426(Feb 1): 109949, 2021. [arXiv][journal]**J. Comput. Phys.****J.M. Duan**and H.Z. Tang, High-order accurate entropy stable nodal discontinuous Galerkin schemes for the ideal special relativistic magnetohydrodynamics,, 421(Nov 15): 109731, 2020. [arXiv][journal]**J. Comput. Phys.****J.M. Duan**and H.Z. Tang, High-order accurate entropy stable finite difference schemes for one- and two-dimensional special relativistic hydrodynamics,, 12(1): 1-29, 2020. [arXiv][journal]**Adv. Appl. Math. Mech.****J.M. Duan**and H.Z. Tang, An efficient ADER discontinuous Galerkin scheme for directly solving Hamilton-Jacobi equation,, 38(1): 58-83, 2020. [arXiv][journal]**J. Comput. Math.**- D. Ling,
**J.M. Duan**and H.Z. Tang, Physical-constraints-preserving Lagrangian finite volume schemes for one- and two-dimensional special relativistic hydrodynamics,, 396(Nov 1): 507-543, 2019. [arXiv][journal]**J. Comput. Phys.** **J.M. Duan**and H.Z. Tang, A second-order accurate scheme for a kinetic equation of two-dimensional Vicsek swarming model,, 41(1): 1-14, 2019. (in Chinese) [journal]**Nat. Sci. J. Xiangtan Univ.****J.M. Duan**, Y.Y. Kuang and H.Z. Tang, Model reduction of a kinetic swarming model by operator projection,, 8(1): 151-180, 2018. [arXiv][journal]**East Asian J. Appl. Math.**

**J.M. Duan**and H.Z. Tang, An analytical solution of the isentropic vortex problem in the special relativistic magnetohydrodynamics, submitted to, arXiv:2107.01966. [arXiv]**J. Comput. Phys.****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]

**Outstanding Graduate of Peking University**, Peking University, Jul 2021.**National Scholarship for Graduate Student**, Chinese Ministry of Education, Dec 2020.**Merit Student of Peking University**, Peking University, Oct 2020.**The First Prize in Outstanding Youth Paper Award of Beijing Society of Computational Mathematics**, Beijing Society of Computational Mathematics, Aug 2020.**BICMR Scholarship for Graduate Student**, Beijing International Center for Mathematical Research (BICMR), Peking University, 2019--2020.**President Scholarship for PhD Student**, Peking University, 2018--2020.**Founder Scholarship**, Peking University, Sep 2019.**DTZ Cushman & Wakefield Scholarship**, Peking University, Sep 2017.**Outstanding Undergraduate of Peking University**, Peking University, Jul 2016.

**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)

**Numerical Methods of Partial Differential Equations**(undergraduate and graduate), Peking University, Fall 2019**Linear Algebra B**(undergraduate), Peking University, Fall 2018**Advanced Algebra II**(undergraduate), Peking University, Spring 2018**Linear Algebra B**(undergraduate), Peking University, Fall 2017**Mathematical Modeling**(undergraduate), Peking University, Spring 2017**Partial Differential Equations**(undergraduate), Peking University, Fall 2016

- Journal of Computational Physics