Hongkai Zhao, Ruth F. DeVarney Distinguished Professor

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.

Contact Info:

Office Location:
Office Phone:	(919) 660-2800
Email Address:

Teaching (Fall 2023):

• MATH 375.01, LINEAR PROGRAMMING Synopsis

  Physics 227, WF 01:25 PM-02:40 PM

• MATH 561.01, NUMERICAL LINEAR ALGEBRA Synopsis

  Physics 205, WF 03:05 PM-04:20 PM

• MATH 757.01, LINEAR PROGRAMMING Synopsis

  Physics 227, WF 01:25 PM-02:40 PM

• MATH 563.01, APPLIED COMPUTATIONAL ANALYSIS Synopsis

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

Office Hours:

Wednesday 3-5pm

Education:

Ph.D.

University of California - Los Angeles

1996

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.