====== Wei Cai ======


===== Biography =====

**Education**
  * Brown University, 1989, Ph.D. in Applied Mathematics  
  * University of Science and Technology, China, 1985, M.S. in Applied Mathematics
  * University of Science and Technology, China, 1982, B.S. in Mathematics

**Work experiences**

  * Assistant Professor, Department of Mathematics, University of North Carolina at Charlotte 8/89-7/94
  * Associate Professor, Department of Mathematics, University of North Carolina at Charlotte 7/94-7/99
  * Professor, Department of Mathematics, University of North Carolina at Charlotte 7/99-present
  * Assistant Professor V (off-scale), Department of Mathematics, University of California at Santa Barbara 1/95-8/96
  * Associate Professor II (off-scale), Department of Mathematics, University of California at Santa Barbara 9/96
===== Wigner-specific research =====
(selection)

  * Zhenzhu Chen, [[Sihong Shao]], and [[Wei Cai]], [[https://www.sciencedirect.com/science/article/pii/S0021999119304553|A high order efficient numerical method for 4-D Wigner equation of quantum double-slit interferences]], J. Comput. Phys. **396**, 54 (2019)
  * Haiyan Jiang, [[Tiao Lu]], and [[Wei Cai]], [[https://www.sciencedirect.com/science/article/pii/S0021999113007572|A device adaptive inflow boundary condition for Wigner equations of quantum transport]], J. Comput. Phys. **258**, 773 (2014)
  * [[Sihong Shao]], [[Tiao Lu]], and [[Wei Cai]], [[https://www.cambridge.org/core/journals/communications-in-computational-physics/article/adaptive-conservative-cell-average-spectral-element-methods-for-transient-wigner-equation-in-quantum-transport/71FE2A189AAB8391E03EA9D1A6F06923|Adaptive conservative cell average spectral element methods for transient Wigner equation in quantum transport]], Commun. Comput. Phys **9**, 711 (2011)
  * Haiyan Jiang,[[Wei Cai]], and Raphael Tsu, [[https://www.sciencedirect.com/science/article/pii/S0021999110006662|Accuracy of the Frensley inflow boundary condition for Wigner equations in simulating resonant tunneling diodes]], J. Comput. Phys. **230**, 2031 (2011)
  * Haiyan Jiang and [[Wei Cai]], [[https://www.sciencedirect.com/science/article/pii/S0021999110000811|Effect of boundary treatments on quantum transport current in the Green’s function and Wigner distribution methods for a nano-scale DG-MOSFET]], J. Comput. Phys. **229**, 4461 (2010)

===== Affiliation(s) =====

Clements Chair of Applied Mathematics, Department of Mathematics, Department of Mathematics, Southern Methodist University, USA 

===== Additional information =====

  * [[https://people.smu.edu/cai/|University Profile]]