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Math @ Duke



Hongkai Zhao, Ruth F. DeVarney Distinguished Professor

Hongkai Zhao

My research interest is in computational and applied mathematics that includes modeling, analysis and developing numerical methods for problems arising from science and engineering. More specifically, I have worked on:

  • numerical analysis and scientific computing;
  • multi-scale, multi-physics and multi-phase problems in wave propagation, fluids, and materials;
  • inverse problems related to medical and seismic imaging;
  • computer vision and image processing.

My Google Scholar Citations

Contact Info:
Office Location:  
Office Phone:  (919) 660-2800
Email Address: send me a message

Teaching (Fall 2023):

  • MATH 375.01, LINEAR PROGRAMMING Synopsis
    Physics 227, WF 01:25 PM-02:40 PM
    Physics 205, WF 03:05 PM-04:20 PM
  • MATH 757.01, LINEAR PROGRAMMING Synopsis
    Physics 227, WF 01:25 PM-02:40 PM
Teaching (Spring 2024):

    Physics 227, WF 03:05 PM-04:20 PM
Office Hours:

Wednesday 3-5pm

Ph.D.University of California - Los Angeles1996
Recent Publications   (More Publications)

  1. Zhao, H; Zhong, Y, Quantitative PAT with simplified P N approximation, Inverse Problems, vol. 37 no. 5 (May, 2021) [doi]  [abs]
  2. Xiang, R; Lai, R; Zhao, H, A Dual Iterative Refinement Method for Non-rigid Shape Matching, Proceedings of the Ieee Computer Society Conference on Computer Vision and Pattern Recognition (January, 2021), pp. 15925-15934, IEEE, ISBN 9781665445092 [doi]  [abs]
  3. Zhong, Y; Zhao, H; Ren, K, Separability of the kernel function in an integral formulation for anisotropic radiative transfer equation, Siam Journal on Mathematical Analysis, vol. 53 no. 5 (2021), pp. 5613-5613, Society for Industrial and Applied Mathematics
  4. Zhao, H; Li, J, Scalable Incremental Nonconvex Optimization Approach for Phase Retrieval, Journal of Scientific Computing (2021), Springer (part of Springer Nature)
  5. Zhao, H; Bryson, J; Vershynin, R, Marchenko-Pastur law with relaxed independence conditions, Random Matrices: Theory and Applications (2021), World Scientific Publishing [doi]  [abs]
Recent Grant Support

  • Learning Partial Differential Equation (PDE) and Beyond, National Science Foundation, 2023/07-2026/06.      
  • RTG: Training Tomorrow's Workforce in Analysis and Applications, National Science Foundation, 2021/07-2026/06.      
  • Computational Forward and Inverse Radiative Transfer, National Science Foundation, 2020/07-2024/06. 
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320