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Mathematics and Statistics
Associate Professor
Research Areas: Applied Mathematics
Office: 231 Parker Hall
Address:
221 Parker Hall
Auburn, AL 36849-5310
Phone: (334) 844-6451
E-Mail: jzl0097@auburn.edu
- Applied and numerical analysis, scientific computation;
- Inverse and optimal control/design problems in partial differential equations;
- Mathematical problems arising in wave propagation, particularly in optics, medical imaging and geophysical exploration.
- Field enhancement and saturation of terahertz waves inside a metallic nanogap (with S-H. Oh, H-M. Nguyen, and F. Reitich), Optics Express, 22 (2014), 14402-14410.
- Numerical reconstruction of electromagnetic inclusions in three dimensions (with G. Bao and S. Mefire), SIAM J. Imaging Sciences, 7 (2014), 558-577.
- A fast and high order method for the three-dimensional elastic wave scattering problem (with F. Bu and F. Reitich ), J. Comput. Phys., 258 (2014), 856-870.
- Resonances of a finite one-dimensional photonic crystal with a defect (with F. Santosa), SIAM J. Appl. Math., 73 (2013), 1002-1019.
- Near-field imaging of the surface displacement on an infinite ground plane (with G. Bao), Inverse Probl. Imag., 2 (2013), 377-396.