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Math @ Duke



Hongkai Zhao, 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 2021):

  • MATH 375.01, LINEAR PROGRAMMING Synopsis
    Physics 227, TuTh 01:45 PM-03:00 PM
  • MATH 757.01, LINEAR PROGRAMMING Synopsis
    Physics 227, TuTh 01:45 PM-03:00 PM
Teaching (Spring 2022):

    Physics 227, MW 05:15 PM-06:30 PM
Office Hours:

Wednesday 3-5pm

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

  1. Bryson, J; Vershynin, R; Zhao, H, Marchenko–Pastur law with relaxed independence conditions, Random Matrices: Theory and Applications (January, 2021), World Scientific Publishing [doi]  [abs]
  2. Zhao, H; Li, J, Scalable Incremental Nonconvex Optimization Approach for Phase Retrieval, Journal of Scientific Computing (2021), Springer (part of Springer Nature)
  3. Zhong, Y; Zhao, H, A Fast Algorithm for Time-Dependent Radiative Transport Equation Based on Integral Formulation, Csiam Transactions on Applied Mathematics, vol. 1 no. 2 (June, 2020), pp. 346-364, Global Science Press [doi]
  4. Li, J; Zhao, H, Robust Inexact Alternating Optimization for Matrix Completion with Outliers, Journal of Computational Mathematics, vol. 38 no. 2 (June, 2020), pp. 337-354, Global Science Press [doi]
  5. Li, J; Zhao, H, Solving phase retrieval via graph projection splitting, Inverse Problems, vol. 36 no. 5 (May, 2020), pp. 055003-055003, IOP Publishing [doi]
Recent Grant Support

  • 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, 2020/07-2023/06. 
ph: 919.660.2800
fax: 919.660.2821

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