Fengyan Li Professor Ph.D. Brown University Numerical Analysis and Scientific Computing

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Research  

• Research Interests
  General interests: Design, analysis, implementation and applications of accurate, robust and efficient numerical methods for PDEs
  
  • Finite element methods, discontinuous Galerkin methods, WENO methods, central schemes
  • Divergence-free and positivity-preserving techniques in high order methods for ideal magnetohydrodynamics (MHD) equations
  • Algorithms for kinetic problems: asymptotically preserving (AP) and energy-conserving methods
  • Efficient methods: fast sweeping methods, hybridization for eigenvalue problems
  • Nonlinear hyperbolic conservation laws such as compressible Euler equations and ideal MHD equations, time-dependent and time-harmonic Maxwell equations, Maxwell equations in nonlinear media, time-dependent and static Hamilton-Jacobi equations, eigenvalue problems, shallow water models, kinetic models (discrete-velocity models, BGK model, radiative transfer equation and its simplied model such as one-group transport equation, (relativistic) Vlasov-Maxwell equations), wave models etc
• Publications
• Current Research Group (Former members)
• Postdoc:
  David Wells (Fall 2015 - present)
  
• PhD Student:
  Zhichao Peng (Fall 2015 - present)
  

Editorship, Honors, and Awards  

• Associate Editor, SIAM Journal on Scientific Computing, January 1, 2014 - present
• Associate Editor, Applied Mathematics and Mechanics (English Edition), 2014 - present
• RAMP-Up Career Campaign Award, Rensselaer Polytechnic Institute, 2010
• NSF CAREER Award, 2009
• Alfred P. Sloan Research Fellow, 2008
• Stella Dafermos Award, Brown University, 2004
• Ostrach Fellowship, Brown University, 2003 - 2004

Teaching (Courses Previously Taught)

• Spring 2018
  • MATH 6860-01: Finite Element Analysis
    
• Fall 2017
  • MATH 4200-01: Mathematical Analysis I
    
  • MATH 6220-01: Applied Functional Analysis
    

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Contact Information

Department of Mathematical Sciences
Rensselaer Polytechnic Institute
110 8th Street, Amos Eaton 332
Troy, NY 12180

Telephone: (518) 276 - 3201
Fax: (518) 276 - 4824
Email: lif at rpi dot edu

Office Hour: (Spring 2018) 5:00pm-6:00pm Tuesdays and Thursdays

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