##
Thomas Lewis

Assistant Professor

**Office:** Petty 141 **Email address: **tllewis3@uncg.edu**Starting year at UNCG: **2013**Office hours:** M 2:15 PM – 3:15 PM, W 10:00 AM – 12:00 PM

#### Education

Ph.D. in Mathematics, University of Tennessee (2013)

#### Teaching

**Fall, 2015**

- MAT 191-03 LEC (Calculus I), TR 11:00-12:15, Petty Building 223
- MAT 390-01 LEC (Ordinary Differential Equations), TR 9:30-10:45, Petty Building 007

**Spring, 2016**

- MAT 190-01 LEL (Experimental Course: Precalculus), TR 9:30-10:45, F 10:00-10:50
- MAT 191-01 LEC (Calculus I), TR 8:00-9:15, Petty Building 223

**Summer Session 2, 2016**

- MAT 151-11 LEC (Precalculus II), MTWR 10:10-12:10

#### Research Interests

Computational Mathematics, Applied Math

#### Selected Recent Publications

- T. Lewis. Distributional derivatives and the stability of discontinuous Galerkin finite element approximation methods, to appear in Elec. J. Diff. Eq., 2015.
- X. Feng and T. Lewis. Mixed interior penalty discontinuous Galerkin methods for fully nonlinear second order elliptic and parabolic equations in high dimensions, Numer. Methods Partial Differential Equations, 30(5):1538-1557, 2014.
- T. Lewis and M. Neilan. Convergence analysis of a symmetric dual-wind discontinuous Galerkin method, J. Sci. Comput. 59(3):602-625, 2014.
- X. Feng and T. Lewis. Local discontinuous Galerkin methods for one-dimensional second order fully nonlinear elliptic and parabolic equations, J. Sci. Comput. 59(2):129-157, 2014.
- X. Feng, C. Kao, and T. Lewis. Convergent finite difference methods for one-dimensional fully nonlinear second order partial differential equations, J. of Comp. and Appl. Math. 254:81-98, 2013.

#### Brief Bio

Dr. Lewis earned a Ph.D. in 2013 from the University of Tennessee in Knoxville, and he joined the faculty at UNCG the same year. His research focuses on numerical PDEs and applied mathematics.