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Peng Li

李鹏

Associate Professor, Ph.D.

Email: weilailp@163.com

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

ACADEMIC BACKGROUND:

  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

ACADEMIC EXPERIENCE:

  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.

AREAS OF RESEARCH:

  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

PUBILICATIONS, SOFTWARES AND BOOKS:

  1. Peng Li, Tingting Li, Wai Sun Don, Bao-Shan Wang, Scale-invariant multi-resolution alternative WENO scheme for Euler equations, Journal of Scientific Computing, 2021, under review.
  2. Qingcheng Fu, Zhen Gao, Yaguang Gu, Peng Li, High order well-balanced conservative finite difference AWENO scheme with hydrostatic reconstruction for the Euler equations under gravitational fields, Applied Numerical Mathematics, 2022, 180, 1-15.
  3. Bao-Shan Wang, Peng Li, Zhen Gao, High order well-balanced and positivity-preserving finite difference alternative WENO scheme with hydrostatic reconstruction for shallow water equations, Applied Numerical Mathematics, 2022, accepted.
  4. Chunhua Zhang, Zhen Gao, Sa Ye, Peng Li, Edge detectors based on PauTa criterion with application to hybrid compact-WENO finite difference scheme, Advances in Applied Mathematics and Mechanics, 2021, Accepted.
  5. Yaguang Gu, Zhen Gao, Guanghui Hu, Peng Li, Lifeng Wang, High Order Finite Difference Alternative WENO Scheme for Multi-component Flows, Journal of Scientific Computing, 2021, 89(3), 52.
  6. Peng Li, Bao-Shan Wang, Wai Sun Don, Sensitivity parameter-independence well-balanced finite volume WENO scheme for the Euler equations under gravitational fields, Journal of Scientific Computing, 2021, 88(2), 47.
  7. Yaguang Gu, Zhen Gao, Guanghui Hu, Peng Li, Lifeng Wang, A Robust High Order Alternative WENO Scheme for the Five-Equation Model, Journal of Scientific Computing, 2021, 88(1), 12.
  8. Peng Li, Zhen Gao, Simple high order well-balanced finite difference WENO schemes for the Euler equations under gravitational fields, Journal of Computational Physics, 2021, 437, 110341.
  9. Peng Li, Xiqiang Zhao, Zhen Gao, Bao-Shan Wang, High Order Hybrid Weighted Compact Nonlinear Schemes for Hyperbolic Conservation Laws, Advances in Applied Mathematics and Mechanics, 12(4), 972-991, 2020.
  10. Peng Li, Wai Sun Don, Zhen Gao, High Order Well-Balanced Finite Difference WENO Interpolation-Based Schemes for Shallow Water Equations, Computers and Fluids, 201, 104476, 2020.
  11. 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.
  12. Peng Li, Zhen Gao, 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.
  13. Peng Li, Wai Sun Don, Cheng Wang, 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.
  14. Cheng Wang, Peng Li, Zhen Gao, Wai Sun Don, Three-Dimensional Detonation Simulations with the Mapped WENO-Z Finite Difference Scheme, Computers and Fluids, 139, 105-111, 2016.
  15. 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.
  16. Wai Sun Don, Zhen Gao, Peng Li, 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.
  17. Peng Li, Zhen Gao,Wai Sun Don, 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.
  18. Yanpo Niu, Zhen Gao, Wai Sun Don, Shusen Xie, 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.
  19. Shusen Xie, Peng Li, Zhen Gao, 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.