杜洁 - 清华大学 - 丘成桐数学科学中心

个人简介

Education History Visiting Ph.D. Student, August 2014 – May 2015, Division of Applied Mathematics, Brown University Advisor : Professor Chi-Wang Shu Ph.D. in Mathematics, September 2010 – June 2015, School of Mathematical Sciences, University of Science and Technology of China Advisor : Professor Chi-Wang Shu and Professor Mengping Zhang B.S. in Mathematics, September 2006 – July 2010, School of Mathematics, HeFei University of Technology Employment History Adjunct Assistant Professor, June 2021 – Present, Yanqi Lake Beijing Institute of Mathematical Sciences and Applications. Assistant Professor, September 2017– Present, Yau Mathematical Sciences Center, Tsinghua University Postdoctoral Fellow, August 2015 – August 2017, Department of Mathematics, The Chinese University of Hong Kong Mentor : Professor Eric T. Chung Research Assistant, July 2014 – August 2014, Department of Civil Engineering, The University of Hong Kong Research Assistant, July 2012 – January 2013, Department of Civil Engineering, The University of Hong Kong Research Assistant, July 2011 – January 2012, Department of Civil Engineering, The University of Hong Kong 荣誉与奖励 2015年中国科学院院长优秀奖 2014年求是研究生奖学金

研究领域

High order numerical methods for PDEs Modeling and numerical simulations for traffic flow problems Computational fluid dynamics

近期论文

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Publications in Refereed Journals (Appeared or Accepted) J. Du, S.C. Wong, C.-W. Shu, T. Xiong, M. Zhang and K. Choi, Revisiting Jiang’s dynamic continuum model for urban cities, Transportation Research Part B, v56 (2013), pp.96-119. Y.Z. Tao, Y.Q. Jiang, J. Du, S.C. Wong, P. Zhang, Y.H. Xia and K. Choi, Dynamic system-optimal traffic assignment for a city using the continuum modeling approach, Journal of Advanced Transportation, v48 (2014), pp.782-797. J. Du, C.-W. Shu and M. Zhang, A simple weighted essentially non-oscillatory limiter for the correction procedure via reconstruction (CPR) framework, Applied Numerical Mathematics, v95 (2015), pp.173-198. J. Du, S.C. Wong, C.-W. Shu and M. Zhang, Reformulating the Hoogendoorn-Bovy predictive dynamic user-optimal model in continuum space with anisotropic condition, Transportation Research Part B, v79 (2015), pp. 189-217. J. Du, C.-W. Shu and M. Zhang, A simple weighted essentially non-oscillatory limiter for the correction procedure via reconstruction (CPR) framework on unstructured meshes, Applied Numerical Mathematics, v90 (2015), pp.146-167. J. Du and C.-W. Shu, A high order stable conservative method for solving hyperbolic conservation laws on arbitrarily distributed point clouds, SIAM Journal on Scientific Computing, v38 (2016), pp. A3094-A3128. E.T. Chung, J. Du and M.C. Yuen, An adaptive SDG method for the Stokes system, Journal of Scientific Computing, v70 (2017), pp. 766-792. J.C. Long, W.Y. Szeto, J. Du, and R.C.P. Wong, A dynamic taxi traffic assign- ment model: a two-level continuum transportation system approach, Transportation Research Part B, v100 (2017), pp. 222-254. E.T. Chung, J. Du and C.Y. Lam, Discontinuous Galerkin methods with staggered hybridization for linear elastodynamics, Computers & Mathematics with Applications, v74 (2017), pp. 1198-1214. J. Du, C.-W. Shu, Positivity-preserving high-order schemes for conservation laws on arbitrarily distributed point clouds with a simple WENO limiter, International Journal of Numerical Analysis and Modeling, v15 (2018), pp. 1-25. J. Du, E.T. Chung, An adaptive staggered discontinuous Galerkin method for the steady state convection-diffusion equation, Journal of Scientific Computing, (2018), pp. 1-29. J. Du, E.T. Chung, M. Lam and X. Wang, Discontinuous Galerkin method with staggered hybridization for a class of nonlinear Stokes equations, Journal of Scientific Computing, v76 (2018), pp. 1547-1577. J. Du, Y. Yang and E.T. Chung, Stability analysis and error estimates of lo- cal discontinuous Galerkin methods for convection-diffusion equations on overlapping meshes, BIT Numerical Mathematics, v59 (2019), pp.853-876. J. Du and Y. Yang, Maximum-principle-preserving third-order local discontinuous Galerkin method for convection-diffusion equations on overlapping meshes, Journal of Computational Physics, v377 (2019), pp.117-141. J. Du, C. Wang, C. Qian and Y. Yang, High-order bound-preserving discontinuous Galerkin methods for stiff multispecies detonation, SIAM Journal on Scientific Computing, v41 (2019), pp.B250-B273. J. Du, Y. Yang, Third-order conservative sign-preserving and steady-state-preserving time integrations and applications in stiff multispecies and multireaction detonations, Journal of Computational Physics, v395 (2019), pp.489-510. J. Du and E.T. Chung, Mortar DG method with staggered hybridization for Rayleigh waves simulation, Communications in Computational Physics, v29 (2021), pp.111-127. H. Liang, J. Du and S.C. Wong, A continuum model for pedestrian flow with explicit consideration of crowd force and panic effects, Transportation Research Part B, v149 (2021), pp. 100-117. J. Du, E.T. Chung and Y. Yang, Maximum-principle-preserving local discontinuous Galerkin methods for Allen-Cahn equations, Communications on Applied Mathematics and Computation, v4 (2022), pp.353-379. Special issue on discontinuous Galerkin methods. J. Du and Y. Yang, High-order bound-preserving finite difference methods for multispecies and multireaction detonations, Communications on Applied Mathematics and Computation, 2021, Special issue on WENO methods. J. Du, C.-W. Shu and X. Zhong, An improved simple WENO limiter for discontinuous Galerkin methods solving hyperbolic systems on unstructured meshes, Journal of Computational Physics, v467 (2022), 111424. J. Du and Y. Yang, High-order bound-preserving discontinuous Galerkin methods for multicomponent chemically reacting flows, Journal of Computational Physics, v469 (2022), 111548. L. Yang, C.-W. Shu, S.C. Wong, M. Zhang, and J. Du, On the existence and uniqueness properties of the Hoogendoorn-Bovy pedestrian flow model, Transportmetrica B: Transport Dynamics, v11 (2023), pp. 912-937. T. Fan, S.C. Wong, Z. Zhang, and J. Du, A dynamically bi-orthogonal solution method for a stochastic Lighthill-Whitham-Richards traffic flow model, Computer-Aided Civil and Infrastructure Engineering, to appear. Preprints J. Du, Y. Liu and Y. Yang, An oscillation-free bound-preserving discontinuous Galerkin method for multicomponent chemically reacting flows, submitted to Journal of Scientific Computing. C. Wu, L. Yang, J. Du, X. Pei and S.C. Wong, Continuum dynamic traffic models with novel local routechoice strategies for urban cities, submitted to Transportation Research Part B. L. Yang, H. Liang, J. Du and S.C. Wong, Positivity-Preserving Discontinuous Galerkin Methods on Triangular Meshes for Macroscopic Pedestrian Flow Model, submitted to Journal of Advanced Transportation. L. Yang, J. Du, S.C. Wong and C.-W. Shu, Boundedly rational continuum user equilibrium model for simultaneous departure time and route choice in traffic assignment problems, submitted to Transportation Research Part B. H. Liang, L. Yang, J. Du, C.-W. Shu, and S.C. Wong*, Crowd pressure and turbulence in crowd disasters, submitted to PNAS Nexus.