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ORCIDFengyan Li
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2020 – today
- 2024
[j44]Maohui Lyu, Fengyan Li
:
Nodal discontinuous Galerkin methods for Maxwell's equations in Lorentz-Kerr-Raman medium without nonlinear algebraic solver. J. Comput. Phys. 515: 113280 (2024)- 2023
- [j43]Zhichao Peng, Min Wang, Fengyan Li:
A learning-based projection method for model order reduction of transport problems. J. Comput. Appl. Math. 418: 114560 (2023) - [j42]Haijin Wang, Fengyan Li, Chi-Wang Shu, Qiang Zhang:
Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation. Math. Comput. 92(344): 2475-2513 (2023) - 2022
- [j41]Zhichao Peng, Yanlai Chen, Yingda Cheng, Fengyan Li:
A Reduced Basis Method for Radiative Transfer Equation. J. Sci. Comput. 91(1): 5 (2022) - [i6]Zhichao Peng, Yanlai Chen, Yingda Cheng, Fengyan Li:
A micro-macro decomposed reduced basis method for the time-dependent radiative transfer equation. CoRR abs/2211.04677 (2022) - 2021
- [j40]Maohui Lyu, Vrushali A. Bokil, Yingda Cheng, Fengyan Li:
Energy Stable Nodal Discontinuous Galerkin Methods for Nonlinear Maxwell's Equations in Multi-dimensions. J. Sci. Comput. 89(2): 45 (2021) - [j39]Zhichao Peng, Yingda Cheng, Jing-Mei Qiu, Fengyan Li:
Stability-enhanced AP IMEX1-LDG Method: Energy-based Stability and Rigorous AP Property. SIAM J. Numer. Anal. 59(2): 925-954 (2021) - [j38]Zhichao Peng, Fengyan Li:
Asymptotic Preserving IMEX-DG-S Schemes for Linear Kinetic Transport Equations Based on Schur Complement. SIAM J. Sci. Comput. 43(2): A1194-A1220 (2021) - [i5]Zhichao Peng, Yanlai Chen, Yingda Cheng, Fengyan Li:
A reduced basis method for radiative transfer equation. CoRR abs/2103.07574 (2021) - [i4]Zhichao Peng, Min Wang, Fengyan Li:
A learning-based projection method for model order reduction of transport problems. CoRR abs/2105.14633 (2021) - [i3]Daniel Appelö, Lu Zhang, Thomas M. Hagstrom, Fengyan Li:
An Energy-Based Discontinuous Galerkin Method with Tame CFL Numbers for the Wave Equation. CoRR abs/2110.07099 (2021) - 2020
- [j37]Zhichao Peng, Vrushali A. Bokil, Yingda Cheng, Fengyan Li:
Asymptotic and positivity preserving methods for Kerr-Debye model with Lorentz dispersion in one dimension. J. Comput. Phys. 402 (2020) - [j36]Zhichao Peng, Yingda Cheng, Jing-Mei Qiu, Fengyan Li:
Stability-enhanced AP IMEX-LDG schemes for linear kinetic transport equations under a diffusive scaling. J. Comput. Phys. 415: 109485 (2020) - [i2]Zhichao Peng, Yingda Cheng, Jing-Mei Qiu, Fengyan Li:
Stability-enhanced AP IMEX1-LDG method: energy-based stability and rigorous AP property. CoRR abs/2005.05454 (2020) - [i1]Zhichao Peng, Fengyan Li:
Asymptotic preserving IMEX-DG-S schemes for linear kinetic transport equations based on Schur complement. CoRR abs/2006.07497 (2020)
2010 – 2019
- 2019
- [j35]Yan Jiang, Puttha Sakkaplangkul, Vrushali A. Bokil, Yingda Cheng, Fengyan Li:
Dispersion analysis of finite difference and discontinuous Galerkin schemes for Maxwell's equations in linear Lorentz media. J. Comput. Phys. 394: 100-135 (2019) - [j34]Anqi Chen, Fengyan Li, Yingda Cheng:
An Ultra-weak Discontinuous Galerkin Method for Schrödinger Equation in One Dimension. J. Sci. Comput. 78(2): 772-815 (2019) - [j33]Pei Fu, Yingda Cheng, Fengyan Li, Yan Xu:
Discontinuous Galerkin Methods with Optimal L2 Accuracy for One Dimensional Linear PDEs with High Order Spatial Derivatives. J. Sci. Comput. 78(2): 816-863 (2019) - 2018
- [j32]Vrushali A. Bokil, Yingda Cheng, Yan Jiang, Fengyan Li, Puttha Sakkaplangkul:
High Spatial Order Energy Stable FDTD Methods for Maxwell's Equations in Nonlinear Optical Media in One Dimension. J. Sci. Comput. 77(1): 330-371 (2018) - [j31]Pei Fu, Fengyan Li, Yan Xu:
Globally Divergence-Free Discontinuous Galerkin Methods for Ideal Magnetohydrodynamic Equations. J. Sci. Comput. 77(3): 1621-1659 (2018) - 2017
- [j30]Vrushali A. Bokil, Yingda Cheng, Yan Jiang, Fengyan Li:
Energy stable discontinuous Galerkin methods for Maxwell's equations in nonlinear optical media. J. Comput. Phys. 350: 420-452 (2017) - [j29]Maojun Li, Philippe Guyenne, Fengyan Li, Liwei Xu:
A Positivity-Preserving Well-Balanced Central Discontinuous Galerkin Method for the Nonlinear Shallow Water Equations. J. Sci. Comput. 71(3): 994-1034 (2017) - [j28]Sigal Gottlieb, Johnny Guzmán, Fengyan Li, Jennifer K. Ryan:
Special Issue in Honor of Professor Chi-Wang Shu. J. Sci. Comput. 73(2-3): 459-460 (2017) - [j27]He Yang, Fengyan Li:
Discontinuous Galerkin Methods for Relativistic Vlasov-Maxwell System. J. Sci. Comput. 73(2-3): 1216-1248 (2017) - [j26]Yingda Cheng, Ching-Shan Chou, Fengyan Li, Yulong Xing:
L2 stable discontinuous Galerkin methods for one-dimensional two-way wave equations. Math. Comput. 86(303): 121-155 (2017) - 2016
- [j25]Zhanjing Tao, Fengyan Li, Jianxian Qiu:
High-order central Hermite WENO schemes: Dimension-by-dimension moment-based reconstructions. J. Comput. Phys. 318: 222-251 (2016) - [j24]Maojun Li, Fengyan Li, Zhen Li, Liwei Xu:
Maximum-Principle-Satisfying and Positivity-Preserving High Order Central Discontinuous Galerkin Methods for Hyperbolic Conservation Laws. SIAM J. Sci. Comput. 38(6) (2016) - 2015
- [j23]Zhanjing Tao, Fengyan Li, Jianxian Qiu:
High-order central Hermite WENO schemes on staggered meshes for hyperbolic conservation laws. J. Comput. Phys. 281: 148-176 (2015) - [j22]Juhi Jang, Fengyan Li, Jing-Mei Qiu, Tao Xiong:
High order asymptotic preserving DG-IMEX schemes for discrete-velocity kinetic equations in a diffusive scaling. J. Comput. Phys. 281: 199-224 (2015) - [j21]Tao Xiong, Juhi Jang, Fengyan Li, Jing-Mei Qiu:
High order asymptotic preserving nodal discontinuous Galerkin IMEX schemes for the BGK equation. J. Comput. Phys. 284: 70-94 (2015) - [j20]Matthew A. Reyna, Fengyan Li:
Operator Bounds and Time Step Conditions for the DG and Central DG Methods. J. Sci. Comput. 62(2): 532-554 (2015) - 2014
- [j19]Maojun Li, Philippe Guyenne, Fengyan Li, Liwei Xu:
High order well-balanced CDG-FE methods for shallow water waves by a Green-Naghdi model. J. Comput. Phys. 257: 169-192 (2014) - [j18]Yingda Cheng, Irene M. Gamba, Fengyan Li, Philip J. Morrison:
Discontinuous Galerkin Methods for the Vlasov-Maxwell Equations. SIAM J. Numer. Anal. 52(2): 1017-1049 (2014) - [j17]Juhi Jang, Fengyan Li, Jing-Mei Qiu, Tao Xiong:
Analysis of Asymptotic Preserving DG-IMEX Schemes for Linear Kinetic Transport Equations in a Diffusive Scaling. SIAM J. Numer. Anal. 52(4): 2048-2072 (2014) - 2013
- [j16]Yue Cheng, Fengyan Li, Jianxian Qiu, Liwei Xu:
Positivity-preserving DG and central DG methods for ideal MHD equations. J. Comput. Phys. 238: 255-280 (2013) - [j15]Sergey Yakovlev, Liwei Xu, Fengyan Li:
Locally divergence-free central discontinuous Galerkin methods for ideal MHD equations. J. Comput. Sci. 4(1-2): 80-91 (2013) - [j14]He Yang, Fengyan Li, Jianxian Qiu:
Dispersion and Dissipation Errors of Two Fully Discrete Discontinuous Galerkin Methods. J. Sci. Comput. 55(3): 552-574 (2013) - 2012
- [j13]Fengyan Li, Liwei Xu:
Arbitrary order exactly divergence-free central discontinuous Galerkin methods for ideal MHD equations. J. Comput. Phys. 231(6): 2655-2675 (2012) - [j12]Fengyan Li:
On the Negative-Order Norm Accuracy of a Local-Structure-Preserving LDG Method. J. Sci. Comput. 51(1): 213-223 (2012) - 2011
- [j11]Fengyan Li, Liwei Xu, Sergey Yakovlev:
Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field. J. Comput. Phys. 230(12): 4828-4847 (2011) - [j10]Wei Guo, Fengyan Li, Jianxian Qiu:
Local-Structure-Preserving Discontinuous Galerkin Methods with Lax-Wendroff Type Time Discretizations for Hamilton-Jacobi Equations. J. Sci. Comput. 47(2): 239-257 (2011) - [j9]Yong-Tao Zhang, Shanqin Chen, Fengyan Li, Hongkai Zhao, Chi-Wang Shu:
Uniformly Accurate Discontinuous Galerkin Fast Sweeping Methods for Eikonal Equations. SIAM J. Sci. Comput. 33(4): 1873-1896 (2011) - 2010
- [j8]Fengyan Li, Sergey Yakovlev:
A Central Discontinuous Galerkin Method for Hamilton-Jacobi Equations. J. Sci. Comput. 45(1-3): 404-428 (2010)
2000 – 2009
- 2009
- [j7]Susanne C. Brenner, Fengyan Li, Li-Yeng Sung:
Nonconforming Maxwell Eigensolvers. J. Sci. Comput. 40(1-3): 51-85 (2009) - 2008
- [j6]Fengyan Li, Chi-Wang Shu, Yong-Tao Zhang, Hongkai Zhao:
A second order discontinuous Galerkin fast sweeping method for Eikonal equations. J. Comput. Phys. 227(17): 8191-8208 (2008) - [j5]Susanne C. Brenner, Jintao Cui, Fengyan Li, Li-Yeng Sung:
A nonconforming finite element method for a two-dimensional curl-curl and grad-div problem. Numerische Mathematik 109(4): 509-533 (2008) - [j4]Susanne C. Brenner, Fengyan Li, Li-Yeng Sung:
A Locally Divergence-Free Interior Penalty Method for Two-Dimensional Curl-Curl Problems. SIAM J. Numer. Anal. 46(3): 1190-1211 (2008) - 2007
- [j3]Susanne C. Brenner, Fengyan Li, Li-Yeng Sung:
A locally divergence-free nonconforming finite element method for the time-harmonic Maxwell equations. Math. Comput. 76(258): 573-595 (2007) - 2005
- [j2]Fengyan Li, Chi-Wang Shu:
Reinterpretation and simplified implementation of a discontinuous Galerkin method for Hamilton-Jacobi equations. Appl. Math. Lett. 18(11): 1204-1209 (2005) - [j1]Fengyan Li, Chi-Wang Shu:
Locally Divergence-Free Discontinuous Galerkin Methods for MHD Equations. J. Sci. Comput. 22(1): 413-442 (2005)
Coauthor Index
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