Fengyan Li
Orcid: 0000-0002-2386-7702
According to our database1,
Fengyan Li
authored at least 45 papers
between 2005 and 2023.
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Bibliography
2023
Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation.
Math. Comput., June, 2023
J. Comput. Appl. Math., 2023
2022
A micro-macro decomposed reduced basis method for the time-dependent radiative transfer equation.
CoRR, 2022
2021
Asymptotic Preserving IMEX-DG-S Schemes for Linear Kinetic Transport Equations Based on Schur Complement.
SIAM J. Sci. Comput., 2021
Stability-enhanced AP IMEX1-LDG Method: Energy-based Stability and Rigorous AP Property.
SIAM J. Numer. Anal., 2021
Energy Stable Nodal Discontinuous Galerkin Methods for Nonlinear Maxwell's Equations in Multi-dimensions.
J. Sci. Comput., 2021
An Energy-Based Discontinuous Galerkin Method with Tame CFL Numbers for the Wave Equation.
CoRR, 2021
2020
Stability-enhanced AP IMEX-LDG schemes for linear kinetic transport equations under a diffusive scaling.
J. Comput. Phys., 2020
Asymptotic and positivity preserving methods for Kerr-Debye model with Lorentz dispersion in one dimension.
J. Comput. Phys., 2020
2019
Discontinuous Galerkin Methods with Optimal L<sup>2</sup> Accuracy for One Dimensional Linear PDEs with High Order Spatial Derivatives.
J. Sci. Comput., 2019
An Ultra-weak Discontinuous Galerkin Method for Schrödinger Equation in One Dimension.
J. Sci. Comput., 2019
Dispersion analysis of finite difference and discontinuous Galerkin schemes for Maxwell's equations in linear Lorentz media.
J. Comput. Phys., 2019
2018
Globally Divergence-Free Discontinuous Galerkin Methods for Ideal Magnetohydrodynamic Equations.
J. Sci. Comput., 2018
High Spatial Order Energy Stable FDTD Methods for Maxwell's Equations in Nonlinear Optical Media in One Dimension.
J. Sci. Comput., 2018
2017
L<sup>2</sup> stable discontinuous Galerkin methods for one-dimensional two-way wave equations.
Math. Comput., 2017
J. Sci. Comput., 2017
A Positivity-Preserving Well-Balanced Central Discontinuous Galerkin Method for the Nonlinear Shallow Water Equations.
J. Sci. Comput., 2017
Energy stable discontinuous Galerkin methods for Maxwell's equations in nonlinear optical media.
J. Comput. Phys., 2017
2016
Maximum-Principle-Satisfying and Positivity-Preserving High Order Central Discontinuous Galerkin Methods for Hyperbolic Conservation Laws.
SIAM J. Sci. Comput., 2016
High-order central Hermite WENO schemes: Dimension-by-dimension moment-based reconstructions.
J. Comput. Phys., 2016
2015
J. Sci. Comput., 2015
High order asymptotic preserving nodal discontinuous Galerkin IMEX schemes for the BGK equation.
J. Comput. Phys., 2015
High-order central Hermite WENO schemes on staggered meshes for hyperbolic conservation laws.
J. Comput. Phys., 2015
High order asymptotic preserving DG-IMEX schemes for discrete-velocity kinetic equations in a diffusive scaling.
J. Comput. Phys., 2015
2014
Analysis of Asymptotic Preserving DG-IMEX Schemes for Linear Kinetic Transport Equations in a Diffusive Scaling.
SIAM J. Numer. Anal., 2014
SIAM J. Numer. Anal., 2014
High order well-balanced CDG-FE methods for shallow water waves by a Green-Naghdi model.
J. Comput. Phys., 2014
2013
Dispersion and Dissipation Errors of Two Fully Discrete Discontinuous Galerkin Methods.
J. Sci. Comput., 2013
Locally divergence-free central discontinuous Galerkin methods for ideal MHD equations.
J. Comput. Sci., 2013
J. Comput. Phys., 2013
2012
J. Sci. Comput., 2012
Arbitrary order exactly divergence-free central discontinuous Galerkin methods for ideal MHD equations.
J. Comput. Phys., 2012
2011
Uniformly Accurate Discontinuous Galerkin Fast Sweeping Methods for Eikonal Equations.
SIAM J. Sci. Comput., 2011
Local-Structure-Preserving Discontinuous Galerkin Methods with Lax-Wendroff Type Time Discretizations for Hamilton-Jacobi Equations.
J. Sci. Comput., 2011
Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field.
J. Comput. Phys., 2011
2010
J. Sci. Comput., 2010
2009
2008
A Locally Divergence-Free Interior Penalty Method for Two-Dimensional Curl-Curl Problems.
SIAM J. Numer. Anal., 2008
A nonconforming finite element method for a two-dimensional curl-curl and grad-div problem.
Numerische Mathematik, 2008
J. Comput. Phys., 2008
2007
A locally divergence-free nonconforming finite element method for the time-harmonic Maxwell equations.
Math. Comput., 2007
2005
J. Sci. Comput., 2005
Reinterpretation and simplified implementation of a discontinuous Galerkin method for Hamilton-Jacobi equations.
Appl. Math. Lett., 2005