##
Thomas Lewis

Assistant Professor

**Office:** Petty 141 **Email address: **tllewis3@uncg.edu**Starting year at UNCG: **2013**Office hours:** TR 3:00-4:00

#### Education

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

#### Teaching

**Spring, 2015**

- MAT 190-01 LEL (Experimental Course: Precalculus), F 9:00-9:50, Petty Building 227, TR 9:30-10:45, Petty Building 224
- MAT 624-01 LEC (Numerical Mathematics), TR 12:30-1:45, Petty Building 217

**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

#### Research Interests

Computational Mathematics, Applied Math

#### Selected Recent Publications

- X. Feng and T. Lewis. Mixed interior penalty discontinuous Galerkin methods for fully nonlinear second order elliptic and parabolic equations in high dimensions, to appear in Numerical Methods Partial Differential Equations, 2014.
- T. Lewis. Finite difference and discontinuous Galerkin finite element methods for fully nonlinear second order partial differential equations, Ph.D. diss., University of Tennessee, 2013.
- T. Lewis and M. Neilan. Convergence analysis of a symmetric dual-wind discontinuous Galerkin method, to appear in J. of Comp. Phy. 2013.
- X. Feng and T. Lewis. Local discontinuous Galerkin methods for one-dimensional second order fully nonlinear elliptic and parabolic equations, to appear in J. of Sci. Comp. 2013.
- 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.