Fengyan Li Professor Department of Mathematical Sciences Rensselaer Polytechnic Institute 110 8th Street Troy NY 12180 Office: Amos Eaton 332 Phone: +1 (518) 276-3201 Fax: +1 (518) 276-4824 Email: lif at rpi dot edu Curriculum Vitae pdf

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Education and Research  

• Education
  • Ph.D. in Applied Mathematics, Brown University, 2004
  • M.Sc. in Computational Mathematics, Peking University, 2000
  • B.Sc. in Computational Mathematics, Peking University, 1997
• Research Interests: Publications
  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
  • Structure-preserving high order methods: divergence-free, well-balanced, energy stable/conservative, positivity preserving, asymptotic preserving
  • Reduced order modeling for transport models: based on learning techniques and reduced basis methods
  • Numerical methods for ideal MHD equations, Hamilton-Jacobi equations, Maxwell's equations in linear or nonlinear media, shallow water models, kinetic models in rarefied gas dynamics and plasma physics (discrete-velocity models, BGK model, radiative transfer equation, (relativistic) Vlasov-Maxwell equations), wave equations, eigenvalue problems
• Research Group
• PhD Student: Kimberly Matsuda, Summer 2021 - present
• Former members

Editorship, Honors, and Awards  

• Editorial Boards
  • SIAM Journal on Numerical Analysis (2019 - present)
  • CSIAM Transaction on Applied Mathematics (2019 - present)
  • Applied Mathematics and Mechanics (English Edition) (2014 - present)
  • SIAM Journal on Scientific Computing (2014 - 2019)
  • La Matematica (guest editor, 2022- present):
  you are welcome to submit your work to the special collection on Advances in Numerical Analysis and Scientific Computing in this flagship journal of AWM
• Plenary / Conference Invited Speaker
  • International Conference on Spectral and High Order Methods (ICOSAHOM), Imperial College London, London, United Kingdom, July 9-13, 2018
  • XVI International Conference on Hyperbolic Problems: Theory, Numerics, Applications, Aachen, Germany, August 1-5, 2016
  • The Annual Meeting of Computational Mathematics in China, Guangzhou, China, September 19-22, 2015
• Honors and Awards
  • 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)

• Fall 2023
  • MATH 6220: Applied Functional Analysis
    
• Spring 2023
  • MATH 4300: Introduction to Complex Variables: Theory and Applications
    
• Fall 2022
  • MATH 6820: Numerical Solution of ODEs
    
  • MATH/CSCI 4800-02: Numerical Computing
    
• Spring 2022
  • MATH 6860: Finite Element Analysis
    
• Fall 2021
  • MATH 4200: Mathematical Analysis I
    
  • MATH 6220: Applied Functional Analysis
    
• Spring 2021
  • MATH/CSCI 6820: Numerical Solution of ODEs
    

Other links

• WINASc: a research network for Women in Numerical Analysis and Scientific Computing
  • SIAM NEWS: my talk at ICIAM 2019 on ''Building Collaboration and Network''
• Association for Women in Mathematics (AWM)

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