Department of Mathematics and Statistics

Thomas Lewis, Assistant Professor

Thomas

Office: Petty 141
Email address: tllewis3@uncg.edu
Starting year at UNCG: 2013
Office hours: TR 2:00-3:00

Education

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

Teaching

Spring, 2014
  • MAT 191-01 LEC (Calculus I), MWF 11:00-11:50, Petty Building 227
  • MAT 292-02 LEC (Calculus II), MWF 1:00-1:50, Petty Building 223
Summer Session 2, 2014
  • MAT 151-11 LEC (Precalculus II), MTWR 10:10-12:10, Petty Building 150
Fall, 2014
  • MAT 293-02 LEC (Calculus III), TR 8:00-9:15, Petty Building 223
  • MAT 623-01 LEC (Numerical Mathematics), TR 11:00-12:15, Petty Building 223

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.