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Peng Li



Email: weilailp@163.com

Address: Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang, China.


  1. Beijing Institute of Technology, Beijing, China
    Ph.D., State Key Laboratory of Explosion Science and Technology, July 2017
    Supervisor: Cheng Wang
  2. Ocean University of China (OUC), Qingdao, Shandong
    M.S., School of Mathematical Sciences, July 2012
    Supervisor: Shusen Xie
  3. Hebei University, Baoding, Hebei
    B.Sc., School of Mathematics and Computers, July 2009


  1. Visiting researcher, 2013.07.01-2013.08.31, 2014.07.01-2014.08.31, 2015.07.01-2015.08.31
    School of Mathematical Science, Ocean University of China, Qingdao, China
  2. Research assistant, 2011.07.01-2011.08.31, 2012.02.02-2012.03.01
    Department of Mathematics, Hong Kong Baptist University, Hong Kong, China.


  1. High order numerical schemes for hyperbolic conservation laws (WENO, DG)
  2. High order numerical schemes for detonation wave simulations
  3. Numerical implementation of compact finite difference methods


  1. Peng Li, Wai Sun Don, Zhen Gao, High Order Well-Balanced Finite Di erence WENO Interpolation-Based Schemes for Shallow Water Equations, Computers and Fluids, under review.
  2. Peng Li, Zhen Gao, Xi-Qiang Zhao, Bao-Shan Wang, High Order Hybrid Weighted Compact Nonlinear Schemes for Hyperbolic Conservation Laws, Advances in Applied Mathematics and Mechanics, 2019, accepted.
  3. Bao-Shan Wang, Peng Li, Zhen Gao, Wai Sun Don, An improved fifth order alternative WENO-Z finite difference scheme for hyperbolic conservation laws, Journal of Computational Physics, 374, 469-477, 2018.
  4. Peng Li, Zhen Gao and Wai Sun Don, Hybrid Fourier-Continuation Method and WENO-Z Finite Difference Scheme for Multi-Dimensional Detonation Structure Simulations, Pure and Applied Mathematics Quarterly, 14, 27-55, 2018.
  5. Peng Li, Wai Sun Don, Cheng Wang and Zhen Gao, High Order Positivity- and Bound-Preserving Hybrid Compact-WENO Finite Difference Scheme for the Compressible Euler Equations, Journal of Scientific Computing, 2, 1-27, 2017.
  6. Cheng Wang, Peng Li, Zhen Gao and Wai Sun Don, Three-Dimensional Detonation Simulations with the Mapped WENO-Z Finite Difference Scheme, Computers and Fluids, 139, 105-111, 2016.
  7. Xiao Wen, Zhen Gao, Wai Sun Don, Yulong Xing and Peng Li, Application of Positivity-Preserving Well-Balanced Discontinuous Galerkin Method in Computational Hydrology, Computers and Fluids, 139, 112-119, 2016.
  8. Wai Sun Don, Zhen Gao, Peng Li and Xiao Wen, Hybrid Compact-WENO Finite Difference Scheme with Conjugate Fourier Shock Detection Algorithm for Hyperbolic Conservation Laws, SIAM Journal on Scientific Computing, 38(2), A691-A711, 2016.
  9. Peng Li, Zhen Gao,Wai Sun Don and Shusen Xie, Hybrid Fourier-Continuation Method and Weighted Essentially Non-oscillatory Finite Difference Scheme for Conservation Laws in a Single-Domain Framework, Journal of Scientific Computing, 64(3), 670-695, 2015.
  10. Yanpo Niu, Zhen Gao, Wai Sun Don, Shusen Xie and Peng Li, Hybrid Compact-WENO Finite Difference Scheme For Detonation Waves Simulations, R.M. Kirby et al. (eds.), Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering 106, DOI 10.1007/978-3-319-19800-2_14, 179-187, 2015.
  11. Shusen Xie, Peng Li, Zhen Gao and Hui Wang, High order compact finite difference schemes for a system of third order boundary value problem, Applied Mathematics and Computation, 219 (5), 2564-2573, 2012.