Since coming to the University of Minnesota, I have worked on many applied mathematics problems. Many of these problems come from industrial applications, engineering and other sciences.

Newer publications (you can use Google Scholar to see my publications)

  1. Analysis of an inverse problem arising in photolithography (with L. Rondi), Math. Models Methods Appl. Sci. 22 (2012), 1150026.
  2. Estimation of asset distributions from option prices: Analysis and regularization (with J. Orozco), SIAM J. Financial Math 3 (2012), 374-401.
  3. Error estimates for a bar code reconstruction method (with S. Esedoglu), Discrete and Continuous Dynamical Systems B. 17 (2012), 1889-1902.
  4. A symbol-based algorithm for decoding bar codes (with M. Iwen and R. Ward), SIAM J. Imaging Sciences 6(2013), 56-77.
  5. Resonances of a potential well with a thick barrier (with D. Dobson, S. Shipman, and M. Weinstein), SIAM J. Appl. Math. 73 (2013), 1489-1512.
  6. Resonances of a finite one-dimensional photonic crystal with a defect (with J. Lin), SIAM J. Appl. Math. 73 (2013), 827-852.
  7. Scattering resonances for a two-dimensional potential well with a thick barrier, SIAM J. Math. Anal. 47 (2015), 1458-1488.
  8. Analysis of the Magnetoacoustic Tomography with Magnetic Induction (with L. Qiu), SIAM J. Imaging Sciences 8 (2015), 2070-2086.
  9. A variational approach to the inverse photolithography problem (with L. Rondi and Z. Wang), to appear in SIAM J. Appl. Math. 76 (2016), 110-137.
  10. Temporal control of graphene plasmons (with Josh Wilson, Misun Min, and Tony Low), Phys. Rev. B 98 (2018), 081411.

US Patents

  1. Multifocal optical device design (with R. Gulliver and J. Wang) US7044601, May 2006.
  2. Symbol-based decoding of optical codes (with M. Iwen and R. Ward) US8967481, March 2015.


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