Thomas L. Lewis

13 papers Journal 13

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	Convergence Analysis of a Dual-Wind Discontinuous Galerkin Method for an Elliptic Optimal Control Problem with Control Constraints. CoRR Satyajith Bommana Boyana, Thomas L. Lewis, Sijing Liu, Yi Zhang
2024	J	`jnl`	Convergence analysis of novel discontinuous Galerkin methods for a convection dominated problem. CoRR Satyajith Bommana Boyana, Thomas L. Lewis, Sijing Liu, Yi Zhang
2023	J	`jnl`	Consistency results for the dual-wind discontinuous Galerkin method. J. Comput. Appl. Math. Thomas L. Lewis, Aaron Rapp, Yi Zhang
2023	J	`jnl`	Convergence analysis of a symmetric dual-wind discontinuous Galerkin method for a parabolic variational inequality. J. Comput. Appl. Math. Satyajith Bommana Boyana, Thomas L. Lewis, Aaron Rapp, Yi Zhang
2022	J	`jnl`	A narrow-stencil framework for convergent numerical approximations of fully nonlinear second order PDEs. CoRR Xiaobing Feng, Thomas L. Lewis, Kellie Ward
2022	J	`jnl`	Convergence, stability analysis, and solvers for approximating sublinear positone and semipositone boundary value problems using finite difference methods. J. Comput. Appl. Math. Thomas L. Lewis, Quinn Morris, Yi Zhang
2021	J	`jnl`	A Narrow-stencil Finite Difference Method for Approximating Viscosity Solutions of Hamilton-Jacobi-Bellman Equations. SIAM J. Numer. Anal. Xiaobing Feng, Thomas L. Lewis
2019	J	`jnl`	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 Xiaobing Feng, Thomas L. Lewis
2018	J	`jnl`	Nonstandard Local Discontinuous Galerkin Methods for Fully Nonlinear Second Order Elliptic and Parabolic Equations in High Dimensions. J. Sci. Comput. Xiaobing Feng, Thomas L. Lewis
2016	J	`jnl`	Discontinuous Galerkin finite element differential calculus and applications to numerical solutions of linear and nonlinear partial differential equations. J. Comput. Appl. Math. Xiaobing Feng, Thomas L. Lewis, Michael Neilan
2014	J	`jnl`	Convergence Analysis of a Symmetric Dual-Wind Discontinuous Galerkin Method. J. Sci. Comput. Thomas L. Lewis, Michael Neilan
2014	J	`jnl`	Local Discontinuous Galerkin Methods for One-Dimensional Second Order Fully Nonlinear Elliptic and Parabolic Equations. J. Sci. Comput. Xiaobing Feng, Thomas L. Lewis
2013	J	`jnl`	Convergent finite difference methods for one-dimensional fully nonlinear second order partial differential equations. J. Comput. Appl. Math. Xiaobing Feng, Chiu-Yen Kao, Thomas L. Lewis