##
Thomas Lewis

Assistant Professor

**Office:** Petty 141 **Email address: **tllewis3@uncg.edu**Starting year at UNCG: **2013**Office hours:** MWF 9:30 a.m. - 10:30 a.m. and by appointment

#### Education

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

#### Teaching

**Fall, 2018**

- MAT 190-01 LEL (Precalculus), MW 2:00-3:15, Petty Building 227
- MAT 190-01 LEL (Precalculus), F 8:00-8:50, Petty Building 227
- MAT 293-01 LEC (Calculus III), MWF 11:00-11:50, Nursing, Moore Building 329
- MAT 790-02 IND (Directed Doctoral Research)

#### Research Interests

Applied Math** Current Students: **Aaron Rapp

#### 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.