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Thomas L. Lewis
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2020 – today
- 2024
- [i3]Satyajith Bommana Boyana, Thomas L. Lewis, Sijing Liu, Yi Zhang:
Convergence analysis of novel discontinuous Galerkin methods for a convection dominated problem. CoRR abs/2404.06490 (2024) - 2023
- [j9]Satyajith Bommana Boyana, Thomas L. 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: 114922 (2023) - [j8]Thomas L. Lewis, Aaron Rapp, Yi Zhang:
Consistency results for the dual-wind discontinuous Galerkin method. J. Comput. Appl. Math. 431: 115257 (2023) - 2022
- [j7]Thomas L. 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: 113880 (2022) - [i2]Xiaobing Feng, Thomas L. Lewis, Kellie Ward:
A narrow-stencil framework for convergent numerical approximations of fully nonlinear second order PDEs. CoRR abs/2202.12782 (2022) - 2021
- [j6]Xiaobing Feng, Thomas L. Lewis:
A Narrow-stencil Finite Difference Method for Approximating Viscosity Solutions of Hamilton-Jacobi-Bellman Equations. SIAM J. Numer. Anal. 59(2): 886-924 (2021)
2010 – 2019
- 2019
- [i1]Xiaobing Feng, Thomas L. 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 abs/1907.10204 (2019) - 2018
- [j5]Xiaobing Feng, Thomas L. Lewis:
Nonstandard Local Discontinuous Galerkin Methods for Fully Nonlinear Second Order Elliptic and Parabolic Equations in High Dimensions. J. Sci. Comput. 77(3): 1534-1565 (2018) - 2016
- [j4]Xiaobing Feng, Thomas L. 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: 68-91 (2016) - 2014
- [j3]Xiaobing Feng, Thomas L. Lewis:
Local Discontinuous Galerkin Methods for One-Dimensional Second Order Fully Nonlinear Elliptic and Parabolic Equations. J. Sci. Comput. 59(1): 129-157 (2014) - [j2]Thomas L. Lewis, Michael Neilan:
Convergence Analysis of a Symmetric Dual-Wind Discontinuous Galerkin Method. J. Sci. Comput. 59(3): 602-625 (2014) - 2013
- [j1]Xiaobing Feng, Chiu-Yen Kao, Thomas L. Lewis:
Convergent finite difference methods for one-dimensional fully nonlinear second order partial differential equations. J. Comput. Appl. Math. 254: 81-98 (2013)
Coauthor Index
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