Reinterpretation and simplified implementation of a discontinuous Galerkin method for Hamilton-Jacobi equations. - Fengyan Li; Chi-Wang Shu (Appl. Math. Lett., 2005)

Locally Divergence-Free Discontinuous Galerkin Methods for MHD Equations. - Fengyan Li; Chi-Wang Shu (J. Sci. Comput., 2005)

A locally divergence-free nonconforming finite element method for the time-harmonic Maxwell equations. - Susanne C. Brenner; Fengyan Li; Li-Yeng Sung (Math. Comput., 2007)

A second order discontinuous Galerkin fast sweeping method for Eikonal equations. - Fengyan Li; Chi-Wang Shu; Yong-Tao Zhang; Hongkai Zhao (J. Comput. Phys., 2008)

A nonconforming finite element method for a two-dimensional curl-curl and grad-div problem. - Susanne C. Brenner; Jintao Cui; Fengyan Li; Li-Yeng Sung (Numerische Mathematik, 2008)

A Locally Divergence-Free Interior Penalty Method for Two-Dimensional Curl-Curl Problems. - Susanne C. Brenner; Fengyan Li; Li-Yeng Sung (SIAM J. Numer. Anal., 2008)

Nonconforming Maxwell Eigensolvers. - Susanne C. Brenner; Fengyan Li; Li-Yeng Sung (J. Sci. Comput., 2009)

A Central Discontinuous Galerkin Method for Hamilton-Jacobi Equations. - Fengyan Li; Sergey Yakovlev (J. Sci. Comput., 2010)

Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field. - Fengyan Li; Liwei Xu; Sergey Yakovlev (J. Comput. Phys., 2011)

Local-Structure-Preserving Discontinuous Galerkin Methods with Lax-Wendroff Type Time Discretizations for Hamilton-Jacobi Equations. - Wei Guo; Fengyan Li; Jianxian Qiu (J. Sci. Comput., 2011)

Uniformly Accurate Discontinuous Galerkin Fast Sweeping Methods for Eikonal Equations. - Yong-Tao Zhang; Shanqin Chen; Fengyan Li; Hongkai Zhao; Chi-Wang Shu (SIAM J. Sci. Comput., 2011)

Arbitrary order exactly divergence-free central discontinuous Galerkin methods for ideal MHD equations. - Fengyan Li; Liwei Xu (J. Comput. Phys., 2012)

On the Negative-Order Norm Accuracy of a Local-Structure-Preserving LDG Method. - Fengyan Li (J. Sci. Comput., 2012)

Positivity-preserving DG and central DG methods for ideal MHD equations. - Yue Cheng; Fengyan Li; Jianxian Qiu; Liwei Xu (J. Comput. Phys., 2013)

Locally divergence-free central discontinuous Galerkin methods for ideal MHD equations. - Sergey Yakovlev; Liwei Xu; Fengyan Li (J. Comput. Sci., 2013)

Dispersion and Dissipation Errors of Two Fully Discrete Discontinuous Galerkin Methods. - He Yang; Fengyan Li; Jianxian Qiu (J. Sci. Comput., 2013)

High order well-balanced CDG-FE methods for shallow water waves by a Green-Naghdi model. - Maojun Li; Philippe Guyenne; Fengyan Li; Liwei Xu (J. Comput. Phys., 2014)

Discontinuous Galerkin Methods for the Vlasov-Maxwell Equations. - Yingda Cheng; Irene M. Gamba; Fengyan Li; Philip J. Morrison (SIAM J. Numer. Anal., 2014)

Analysis of Asymptotic Preserving DG-IMEX Schemes for Linear Kinetic Transport Equations in a Diffusive Scaling. - Juhi Jang; Fengyan Li; Jing-Mei Qiu; Tao Xiong (SIAM J. Numer. Anal., 2014)

High order asymptotic preserving DG-IMEX schemes for discrete-velocity kinetic equations in a diffusive scaling. - Juhi Jang; Fengyan Li; Jing-Mei Qiu; Tao Xiong (J. Comput. Phys., 2015)

High-order central Hermite WENO schemes on staggered meshes for hyperbolic conservation laws. - Zhanjing Tao; Fengyan Li; Jianxian Qiu (J. Comput. Phys., 2015)

High order asymptotic preserving nodal discontinuous Galerkin IMEX schemes for the BGK equation. - Tao Xiong; Juhi Jang; Fengyan Li; Jing-Mei Qiu (J. Comput. Phys., 2015)

Operator Bounds and Time Step Conditions for the DG and Central DG Methods. - Matthew A. Reyna; Fengyan Li (J. Sci. Comput., 2015)

High-order central Hermite WENO schemes: Dimension-by-dimension moment-based reconstructions. - Zhanjing Tao; Fengyan Li; Jianxian Qiu (J. Comput. Phys., 2016)

Maximum-Principle-Satisfying and Positivity-Preserving High Order Central Discontinuous Galerkin Methods for Hyperbolic Conservation Laws. - Maojun Li; Fengyan Li; Zhen Li; Liwei Xu (SIAM J. Sci. Comput., 2016)

Energy stable discontinuous Galerkin methods for Maxwell's equations in nonlinear optical media. - Vrushali A. Bokil; Yingda Cheng; Yan Jiang; Fengyan Li (J. Comput. Phys., 2017)

Special Issue in Honor of Professor Chi-Wang Shu. - Sigal Gottlieb; Johnny Guzmán; Fengyan Li; Jennifer K. Ryan (J. Sci. Comput., 2017)

A Positivity-Preserving Well-Balanced Central Discontinuous Galerkin Method for the Nonlinear Shallow Water Equations. - Maojun Li; Philippe Guyenne; Fengyan Li; Liwei Xu (J. Sci. Comput., 2017)

Discontinuous Galerkin Methods for Relativistic Vlasov-Maxwell System. - He Yang; Fengyan Li (J. Sci. Comput., 2017)

L2 stable discontinuous Galerkin methods for one-dimensional two-way wave equations. - Yingda Cheng; Ching-Shan Chou; Fengyan Li; Yulong Xing (Math. Comput., 2017)

High Spatial Order Energy Stable FDTD Methods for Maxwell's Equations in Nonlinear Optical Media in One Dimension. - Vrushali A. Bokil; Yingda Cheng; Yan Jiang; Fengyan Li; Puttha Sakkaplangkul (J. Sci. Comput., 2018)

Globally Divergence-Free Discontinuous Galerkin Methods for Ideal Magnetohydrodynamic Equations. - Pei Fu; Fengyan Li; Yan Xu 008 (J. Sci. Comput., 2018)

Dispersion analysis of finite difference and discontinuous Galerkin schemes for Maxwell's equations in linear Lorentz media. - Yan Jiang; Puttha Sakkaplangkul; Vrushali A. Bokil; Yingda Cheng; Fengyan Li (J. Comput. Phys., 2019)

An Ultra-weak Discontinuous Galerkin Method for Schrödinger Equation in One Dimension. - Anqi Chen; Fengyan Li; Yingda Cheng (J. Sci. Comput., 2019)

Discontinuous Galerkin Methods with Optimal L2 Accuracy for One Dimensional Linear PDEs with High Order Spatial Derivatives. - Pei Fu; Yingda Cheng; Fengyan Li; Yan Xu 008 (J. Sci. Comput., 2019)

Asymptotic and positivity preserving methods for Kerr-Debye model with Lorentz dispersion in one dimension. - Zhichao Peng; Vrushali A. Bokil; Yingda Cheng; Fengyan Li (J. Comput. Phys., 2020)

Stability-enhanced AP IMEX-LDG schemes for linear kinetic transport equations under a diffusive scaling. - Zhichao Peng; Yingda Cheng; Jing-Mei Qiu; Fengyan Li (J. Comput. Phys., 2020)

An Energy-Based Discontinuous Galerkin Method with Tame CFL Numbers for the Wave Equation. - Daniel Appelö; Lu Zhang 037; Thomas M. Hagstrom; Fengyan Li (CoRR, 2021)

Energy Stable Nodal Discontinuous Galerkin Methods for Nonlinear Maxwell's Equations in Multi-dimensions. - Maohui Lyu; Vrushali A. Bokil; Yingda Cheng; Fengyan Li (J. Sci. Comput., 2021)

Stability-enhanced AP IMEX1-LDG Method: Energy-based Stability and Rigorous AP Property. - Zhichao Peng; Yingda Cheng; Jing-Mei Qiu; Fengyan Li (SIAM J. Numer. Anal., 2021)

Asymptotic Preserving IMEX-DG-S Schemes for Linear Kinetic Transport Equations Based on Schur Complement. - Zhichao Peng; Fengyan Li (SIAM J. Sci. Comput., 2021)

A Reduced Basis Method for Radiative Transfer Equation. - Zhichao Peng; Yanlai Chen; Yingda Cheng; Fengyan Li (J. Sci. Comput., 2022)

A learning-based projection method for model order reduction of transport problems. - Zhichao Peng; Min Wang; Fengyan Li (J. Comput. Appl. Math., 2023)

Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation. - Haijin Wang; Fengyan Li; Chi-Wang Shu; Qiang Zhang 018 (Math. Comput., 2023)

Nodal discontinuous Galerkin methods for Maxwell's equations in Lorentz-Kerr-Raman medium without nonlinear algebraic solver. - Maohui Lyu; Fengyan Li (J. Comput. Phys., 2024)

A Micro-Macro Decomposed Reduced Basis Method for the Time-Dependent Radiative Transfer Equation. - Zhichao Peng; Yanlai Chen; Yingda Cheng; Fengyan Li (Multiscale Model. Simul., 2024)