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, 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, v38 (2023), pp.1447-1461.
- J. Du and Y. Yang, High-order bound-preserving finite difference methods for multispecies and multireaction detonations, Communications on Applied Mathematics and Computation, v5 (2023), pp.31-63, Special issue on WENO methods.
- J. Du, Y. Liu, and Y. Yang, An oscillation-free bound-preserving discontinuous Galerkin method for multi-component chemically reacting flows, Journal of Scientific Computing, v95 (2023), article number 90.
- L. Yang, H. Liang, J. Du, and S.C. Wong, Positivity-Preserving Discontinuous Galerkin Methods on Triangular Meshes for Macroscopic Pedestrian Flow Model, Journal of Advanced Transportation, v2023 (2023), article ID 7245723.
- C. Wu, L. Yang, J. Du, X. Pei, and S.C. Wong, Continuum dynamic traffic models with novel local route-choice strategies for urban cities, Transportation Research Part B, v181 (2024), article number 102888.
- J. Du, Y. Yang, and F. Zhu, Well-balanced positivity-preserving discontinuous Galerkin methods for Euler equations with gravitation, Journal of Computational Physics, v505 (2024), article number 112877.
- H. Liang, L. Yang, J. Du, S.C. Wong, and C.-W. Shu, Modeling crowd pressure and turbulence through a mixed-type continuum model for multidirectional pedestrian flow, Transportmetrica B: Transport Dynamics, v12 (2024), article number 2328774.
- L. Yang, J. Du, S.C. Wong and C.-W. Shu, Boundedly rational departure time choice in a dynamic continuum user equilibrium model for an urban city, Transportation Research Part B, v187 (2024), article number 103038.
- T. Fan, S.C. Wong, Z. Zhang, and J. Du, Stochastic Lighthill-Whitham-Richards traffic flow model for nonlinear speed-density relationships, Transportmetrica B: Transport Dynamics, v12 (2024), article number 2419402.
Preprints
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