University of Utah

Department of Mathematics

155 S 1400 E RM 233

Salt Lake City, UT, 84112

Email:
xia (at) math.utah.edu

- CV

- PhD Student, Mathematics Department, University of Utah

- Advisor: Yekaterina Epshteyn

- Scientific Computing
- High Order Difference Potentials Methods for PDEs
- Interface Problems with Explicit/Implicit Geometry
- Chemotaxis in 3D

- Y. Epshteyn, K. R. Steffen, and
**Q. Xia**, Difference Potentials Method for the Mullins-Sekerka model, in progress, 2017.

- Y. Epshteyn and
**Q. Xia**, Upwind Difference Potentials Method for chemotaxis systems in 3D, in progress, 2017.

- G. Ludvigsson, K.R. Steffen, S. Sticko, S. Wang,
**Q. Xia**, Y. Epshteyn and G. Kreiss, High-order numerical methods for 2D parabolic problems in single and composite domains, Journal of Scientific Computing, January 2018, DOI: 10.1007/s10915-017-0637-y (arXiv).

- J. Albright, Y. Epshteyn and
**Q. Xia**, High-Order Accurate Methods Based on Difference Potentials for 2D Parabolic Interface Models, Communications in Mathematical Sciences, Volume 15, Number 4, pages 985-1019, 2017.

- J. Albright, Y. Epshteyn, M. Medvinsky and
**Q. Xia**, High-order numerical schemes based on difference potentials for 2D elliptic problems with material interfaces, Applied Numerical Mathematics, Volume 111, January 2017, pages 64-91, DOI: 10.1016/j.apnum.2016.08.017.