##
Thomas Lewis

Assistant Professor

**Office:** Petty 141 **Email address: **tllewis3@uncg.edu**Starting year at UNCG: **2013**Office hours:** TR 2:00 p.m. - 2:30 p.m. and W 1:00 p.m. - 3:00 p.m., and by appointment

#### Education

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

#### Teaching

**Fall, 2017**

- MAT 190-01 LEL (Experimental Course: Precalculus), M 8:00-8:50, Petty Building 303, TR 3:30-4:45, Petty Building 303
- MAT 709-03 IND (Topics in Computational Mathematics)
- MAT 723-01 LEC (Numerical Mathematics), TR 11:00-12:15, Petty Building 007

**Spring, 2018**

- MAT 523-01 LEC (Numerical Methods), MWF 10:00-10:50, Petty Building 007
- MAT 728-01 LEC (Linear Algebra Matrix Theory), MWF 2:00-2:50, Sullivan Science Building 203

**Summer Session 1, 2018**

- MAT 191-01 LEC (Calculus I), MTWR 10:10-12:10

#### Research Interests

#### Selected Recent Publications

- X. Feng, T. Lewis, and M. Neilan. Discontinuous Galerkin finite element differential calculus and applications to numerical solutions of linear and nonlinear partial differential equations, J. Comput. Appl. Math., Volume 299, p. 68 -- 91. 2016.
- T. Lewis and M. Neilan. Convergence analysis of a symmetric dual-wind discontinuous Galerkin method, J. Sci. Compute., Volume 59, Issue 3, p. 602 -- 625. 2014.
- 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, Volume 30, Issue 5, p. 1538 -- 1557. 2014.
- X. Feng and T. Lewis. Local discontinuous Galerkin methods for one-dimensional second order fully nonlinear elliptic and parabolic equations, J. Sci. Compute., Volume 59, Issue 2, p. 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.