Fengyan Li

发表

Stability-enhanced AP IMEX1-LDG method: energy-based stability and rigorous AP property pdf

Zhichao Peng, Yingda Cheng, Jing-Mei Qiu, 2020, ArXiv.

High order asymptotic preserving DG-IMEX schemes for discrete-velocity kinetic equations in a diffusive scaling

Tao Xiong, Fengyan Li, Jing-Mei Qiu, 2013, J. Comput. Phys..

High-order central Hermite WENO schemes on staggered meshes for hyperbolic conservation laws

Jianxian Qiu, Zhanjing Tao, Fengyan Li, 2015, J. Comput. Phys..

A second order discontinuous Galerkin fast sweeping method for Eikonal equations

Chi-Wang Shu, Hongkai Zhao, Fengyan Li, 2008, J. Comput. Phys..

High order well-balanced CDG-FE methods for shallow water waves by a Green-Naghdi model

Maojun Li, Liwei Xu, Philippe Guyenne, 2014, J. Comput. Phys..

Discontinuous Galerkin Methods for Relativistic Vlasov–Maxwell System

He Yang, Fengyan Li, 2017, J. Sci. Comput..

Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field

Sergey Yakovlev, Liwei Xu, Fengyan Li, 2011, J. Comput. Phys..

An Ultra-weak Discontinuous Galerkin Method for Schrödinger Equation in One Dimension

Anqi Chen, Yingda Cheng, Fengyan Li, 2018, Journal of Scientific Computing.

High order asymptotic preserving nodal discontinuous Galerkin IMEX schemes for the BGK equation

Tao Xiong, Fengyan Li, Jing-Mei Qiu, 2014, J. Comput. Phys..

A locally divergence-free nonconforming finite element method for the time-harmonic Maxwell equations

Susanne C. Brenner, Li-Yeng Sung, Fengyan Li, 2007, Math. Comput..

High Spatial Order Energy Stable FDTD Methods for Maxwell’s Equations in Nonlinear Optical Media in One Dimension

Yan Jiang, Yingda Cheng, Fengyan Li, 2018, J. Sci. Comput..

Radiative transfer equation modeling by streamline diffusion modified continuous Galerkin method

Xavier Intes, Feixiao Long, Fengyan Li, 2016, Journal of biomedical optics.

Discontinuous Galerkin Methods for the Vlasov-Maxwell Equations

Yingda Cheng, Fengyan Li, Irene M. Gamba, 2013, SIAM J. Numer. Anal..

Operator Bounds and Time Step Conditions for the DG and Central DG Methods

Fengyan Li, Matthew A. Reyna, Fengyan Li, 2015, J. Sci. Comput..

A Central Discontinuous Galerkin Method for Hamilton-Jacobi Equations

Sergey Yakovlev, Fengyan Li, Fengyan Li, 2010, J. Sci. Comput..

Reinterpretation and simplified implementation of a discontinuous Galerkin method for Hamilton-Jacobi equations

Chi-Wang Shu, Fengyan Li, Chi-Wang Shu, 2005, Appl. Math. Lett..

A Positivity-Preserving Well-Balanced Central Discontinuous Galerkin Method for the Nonlinear Shallow Water Equations

Maojun Li, Liwei Xu, Philippe Guyenne, 2017, J. Sci. Comput..

A nonconforming finite element method for a two-dimensional curl–curl and grad-div problem

Susanne C. Brenner, Li-Yeng Sung, Fengyan Li, 2008, Numerische Mathematik.

Positivity-preserving DG and central DG methods for ideal MHD equations

Liwei Xu, Jianxian Qiu, Fengyan Li, 2013, J. Comput. Phys..

Uniformly Accurate Discontinuous Galerkin Fast Sweeping Methods for Eikonal Equations

Chi-Wang Shu, Hongkai Zhao, Fengyan Li, 2011, SIAM J. Sci. Comput..

Special Issue in Honor of Professor Chi-Wang Shu

Jennifer K. Ryan, Fengyan Li, Sigal Gottlieb, 2017, J. Sci. Comput..

Analysis of Asymptotic Preserving DG-IMEX Schemes for Linear Kinetic Transport Equations in a Diffusive Scaling

Tao Xiong, Fengyan Li, Jing-Mei Qiu, 2013, SIAM J. Numer. Anal..

Energy stable discontinuous Galerkin methods for Maxwell's equations in nonlinear optical media

Yan Jiang, Yingda Cheng, Fengyan Li, 2017, J. Comput. Phys..

Dispersion and Dissipation Errors of Two Fully Discrete Discontinuous Galerkin Methods

He Yang, Jianxian Qiu, Fengyan Li, 2012, Journal of Scientific Computing.

Arbitrary order exactly divergence-free central discontinuous Galerkin methods for ideal MHD equations

Liwei Xu, Fengyan Li, Liwei Xu, 2012, J. Comput. Phys..

Globally Divergence-Free Discontinuous Galerkin Methods for Ideal Magnetohydrodynamic Equations

Yan Xu, Fengyan Li, Pei Fu, 2018, J. Sci. Comput..

Local-Structure-Preserving Discontinuous Galerkin Methods with Lax-Wendroff Type Time Discretizations for Hamilton-Jacobi Equations

Wei Guo, Jianxian Qiu, Fengyan Li, 2011, J. Sci. Comput..

Locally divergence-free central discontinuous Galerkin methods for ideal MHD equations

Sergey Yakovlev, Liwei Xu, Fengyan Li, 2013, J. Comput. Sci..

A Locally Divergence-Free Interior Penalty Method for Two-Dimensional Curl-Curl Problems

Susanne C. Brenner, Li-Yeng Sung, Fengyan Li, 2008, SIAM J. Numer. Anal..

Asymptotic preserving IMEX-DG-S schemes for linear kinetic transport equations based on Schur complement pdf

Zhichao Peng, Fengyan Li, Fengyan Li, 2020, SIAM J. Sci. Comput..

L2 stable discontinuous Galerkin methods for one-dimensional two-way wave equations

Yulong Xing, Yingda Cheng, Fengyan Li, 2016, Math. Comput..

Maximum-Principle-Satisfying and Positivity-Preserving High Order Central Discontinuous Galerkin Methods for Hyperbolic Conservation Laws

Zhen Li, Maojun Li, Liwei Xu, 2016, SIAM J. Sci. Comput..

Nonconforming Maxwell Eigensolvers

Susanne C. Brenner, Li-Yeng Sung, Fengyan Li, 2009, J. Sci. Comput..

Asymptotic and positivity preserving methods for Kerr-Debye model with Lorentz dispersion in one dimension

Zhichao Peng, Yingda Cheng, Fengyan Li, 2020, J. Comput. Phys..

Discontinuous Galerkin Methods with Optimal $$L^2$$L2 Accuracy for One Dimensional Linear PDEs with High Order Spatial Derivatives

Yan Xu, Yingda Cheng, Fengyan Li, 2018, J. Sci. Comput..

Stability-enhanced AP IMEX-LDG schemes for linear kinetic transport equations under a diffusive scaling

Zhichao Peng, Yingda Cheng, Fengyan Li, 2020, J. Comput. Phys..

High-order central Hermite WENO schemes: Dimension-by-dimension moment-based reconstructions

Jianxian Qiu, Zhanjing Tao, Fengyan Li, 2016, J. Comput. Phys..

Locally Divergence-Free Discontinuous Galerkin Methods for MHD Equations

Chi-Wang Shu, Fengyan Li, Chi-Wang Shu, 2005, J. Sci. Comput..

Dispersion analysis of finite difference and discontinuous Galerkin schemes for Maxwell's equations in linear Lorentz media

Yingda Cheng, Fengyan Li, Vrushali A. Bokil, 2018, J. Comput. Phys..

On the Negative-Order Norm Accuracy of a Local-Structure-Preserving LDG Method

Fengyan Li, Fengyan Li, 2012, J. Sci. Comput..

A learning-based projection method for model order reduction of transport problems pdf

Zhichao Peng, Fengyan Li, Min Wang, 2021, ArXiv.

Energy Stable Nodal Discontinuous Galerkin Methods for Nonlinear Maxwell’s Equations in Multi-dimensions

Yingda Cheng, Fengyan Li, Vrushali A. Bokil, 2021, Journal of Scientific Computing.

A Reduced Basis Method for Radiative Transfer Equation pdf

Zhichao Peng, Yingda Cheng, Yanlai Chen, 2021, Journal of Scientific Computing.

An Energy-Based Discontinuous Galerkin Method with Tame CFL Numbers for the Wave Equation pdf

Fengyan Li, Daniel Appelö, Lu Zhang, 2021, ArXiv.

A Local-structure-preserving Local Discontinuous Galerkin Method for the Laplace Equation

Fengyan Li, Chi-Wang Shu, Fengyan Li, 2006 .

Error Estimates of Runge-Kutta Discontinuous Galerkin Methods for the Vlasov-Maxwell System

He Yang, Fengyan Li, Fengyan Li, 2013, 1306.0636.