Thomas Lewis

Publication Activity (10 Years)

Years Active: 2010-2023
Publications (10 Years): 7

Top Topics

Numerical Solution

Convergence Analysis

Finite Difference

Hamilton Jacobi Bellman

Top Venues

J. Comput. Appl. Math.

J. Sci. Comput.

SIAM J. Numer. Anal.

Publications

Satyajith Bommana Boyana, Thomas Lewis, Aaron Rapp, Yi Zhang
Convergence analysis of a symmetric dual-wind discontinuous Galerkin method for a parabolic variational inequality. J. Comput. Appl. Math. 422 (2023)
Xiaobing Feng, Thomas Lewis, Kellie Ward
A narrow-stencil framework for convergent numerical approximations of fully nonlinear second order PDEs. CoRR (2022)
Thomas Lewis, Quinn Morris, Yi Zhang
Convergence, stability analysis, and solvers for approximating sublinear positone and semipositone boundary value problems using finite difference methods. J. Comput. Appl. Math. 404 (2022)
Xiaobing Feng, Thomas Lewis
A Narrow-stencil Finite Difference Method for Approximating Viscosity Solutions of Hamilton-Jacobi-Bellman Equations. SIAM J. Numer. Anal. 59 (2) (2021)
Xiaobing Feng, Thomas Lewis
A Narrow-stencil finite difference method for approximating viscosity solutions of fully nonlinear elliptic partial differential equations with applications to Hamilton-Jacobi-Bellman equations. CoRR (2019)
Xiaobing Feng, Thomas Lewis
Nonstandard Local Discontinuous Galerkin Methods for Fully Nonlinear Second Order Elliptic and Parabolic Equations in High Dimensions. J. Sci. Comput. 77 (3) (2018)
Xiaobing Feng, Thomas Lewis, Michael Neilan
Discontinuous Galerkin finite element differential calculus and applications to numerical solutions of linear and nonlinear partial differential equations. J. Comput. Appl. Math. 299 (2016)
Thomas Lewis, Michael Neilan
Convergence Analysis of a Symmetric Dual-Wind Discontinuous Galerkin Method. J. Sci. Comput. 59 (3) (2014)
Xiaobing Feng, Thomas Lewis
Local Discontinuous Galerkin Methods for One-Dimensional Second Order Fully Nonlinear Elliptic and Parabolic Equations. J. Sci. Comput. 59 (1) (2014)
Xiaobing Feng, Chiu-Yen Kao, Thomas Lewis
Convergent finite difference methods for one-dimensional fully nonlinear second order partial differential equations. J. Comput. Appl. Math. 254 (2013)
Frederick B. Reitz, Todd Richards, Kelvin Wu, Peter Boord, Mary K. Askren, Thomas Lewis, Virginia W. Berninger
A Low-Cost, Computer-Interfaced Drawing Pad for fMRI Studies of Dysgraphia and Dyslexia. Sensors 13 (4) (2013)
Takeshi Ikuma, Mort Naraghi-Pour, Thomas Lewis
Predictive Quantization of Range-Focused SAR Raw Data. IEEE Trans. Geosci. Remote. Sens. 50 (4) (2012)
Takeshi Ikuma, Mort Naraghi-Pour, Thomas Lewis
Autoregressive modeling of dechirped spotlight-mode sar rawdata in transform domain. IGARSS (2010)
Takeshi Ikuma, Mort Naraghi-Pour, Thomas Lewis
Predictive quantization of dechirped spotlight-mode SAR raw data in transform domain. IGARSS (2010)