Scholars@Duke

• Background
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  Education, Training, & Certifications

  • Ph.D., University of Texas, Austin 2017
• Publications & Artistic Works
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  Selected Publications

  • Academic Articles

    • Stefanov, P., and Y. Zhong. “INVERSE BOUNDARY PROBLEM FOR THE TWO PHOTON ABSORPTION TRANSPORT EQUATION.” Siam Journal on Mathematical Analysis 54, no. 3 (January 1, 2022): 2753–67. https://doi.org/10.1137/21M1417387.
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    • Zhao, H., and Y. Zhong. “Quantitative PAT with simplified P N approximation.” Inverse Problems 37, no. 5 (May 1, 2021). https://doi.org/10.1088/1361-6420/abf318.
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    • Li, Wei, John C. Schotland, Yang Yang, and Yimin Zhong. “An Acousto-electric Inverse Source Problem.” Siam Journal on Imaging Sciences 14, no. 4 (January 2021): 1601–16. https://doi.org/10.1137/21m1406568.
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    • Zhong, Yimin, Hongkai Zhao, and Kui Ren. “Separability of the kernel function in an integral formulation for anisotropic radiative transfer equation.” Siam Journal on Mathematical Analysis 53, no. 5 (2021): 5613–5613.
    • Zhong, Yimin, and Hongkai Zhao. “A Fast Algorithm for Time-Dependent Radiative Transport Equation Based on Integral Formulation.” Csiam Transactions on Applied Mathematics 1, no. 2 (June 2020): 346–64. https://doi.org/10.4208/csiam-am.2020-0012.
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    • Li, W., Y. Yang, and Y. Zhong. “Inverse transport problem in fluorescence ultrasound modulated optical tomography with angularly averaged measurements.” Inverse Problems 36, no. 2 (January 1, 2020). https://doi.org/10.1088/1361-6420/ab4609.
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    • Ren, K., R. Zhang, and Y. Zhong. “A fast algorithm for radiative transport in isotropic media.” Journal of Computational Physics 399 (December 15, 2019). https://doi.org/10.1016/j.jcp.2019.108958.
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    • Ren, K., and Y. Zhong. “Imaging point sources in heterogeneous environments.” Inverse Problems 35, no. 12 (October 24, 2019). https://doi.org/10.1088/1361-6420/ab3497.
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    • Bryson, J., H. Zhao, and Y. Zhong. “Intrinsic complexity and scaling laws: From random fields to random vectors.” Multiscale Modeling and Simulation 17, no. 1 (January 1, 2019): 460–81. https://doi.org/10.1137/18M1187908.
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    • Li, W., Y. Yang, and Y. Zhong. “A hybrid inverse problem in the fluorescence ultrasound modulated optical tomography in the diffusive regime.” Siam Journal on Applied Mathematics 79, no. 1 (January 1, 2019): 356–76. https://doi.org/10.1137/18M117889X.
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    • Zhao, H., and Y. Zhong. “A hybrid adaptive phase space method for reflection traveltime tomography.” Siam Journal on Imaging Sciences 12, no. 1 (January 1, 2019): 28–53. https://doi.org/10.1137/18M117426X.
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    • Zhao, Hongkai, and Yimin Zhong. “Instability of an Inverse Problem for the Stationary Radiative Transport Near the Diffusion Limit.” Siam Journal on Mathematical Analysis 51, no. 5 (January 2019): 3750–68. https://doi.org/10.1137/18m1222582.
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    • Zhong, Y., K. Ren, and R. Tsai. “An implicit boundary integral method for computing electric potential of macromolecules in solvent.” Journal of Computational Physics 359 (April 15, 2018): 199–215. https://doi.org/10.1016/j.jcp.2018.01.021.
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    • Ren, K., R. Zhang, and Y. Zhong. “Inverse transport problems in quantitative PAT for molecular imaging.” Inverse Problems 31, no. 12 (November 30, 2015). https://doi.org/10.1088/0266-5611/31/12/125012.
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    • Zhong, Yimin, and Kui Ren. “Unique determination of absorption coefficients in a semilinear transport equation,” n.d.

  • Theses and Dissertations

    • Zhong, Yimin. “Inverse problems in photoacoustic imaging: analysis and computation,” n.d.
• Teaching & Mentoring
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  Recent Courses

  • MATH 356: Elementary Differential Equations 2022
  • MATH 756: Elementary Differential Equations 2022
  • MATH 353: Ordinary and Partial Differential Equations 2021
  • MATH 563: Applied Computational Analysis 2021
  • MATH 753: Ordinary and Partial Differential Equations 2021
  • MATH 122L: Introductory Calculus II with Applications 2020

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