IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

Yi Sun

  • Associate Professor
  • Department of Mathematics
  • University of South Carolina


Ph.D. Applied & Computational Mathematics Princeton University 2006
M.S. Computational Mathematics Peking University, Beijing, China 2002
B.S. Computational Mathematics Peking University, Beijing, China 1999


2015 – Present Associate Professor Department of Mathematics, Univ. of South Carolina
2011 – 2015 Assistant Professor Department of Mathematics, Univ. of South Carolina
2009 – 2011 Postdoctoral Research Fellow Statistical and Applied Mathematical Sciences Institute
2006 – 2009 Research Scientist Courant Institute, NYU


Research Interests

  • Multiscale analysis, modeling and simulation in solids, fluid mechanics, chemistry and biology
  • Mathematical modeling and computation of biomaterials, complex biofluids, and cellular dynamics
  • Mathematical and computational neuroscience: dynamical system and chaos in neuronal networks
  • Network dynamics and flows: modeling, analysis and simulation for traffic flow
  • Numerical methods for partial differential equations and interface tracking
  • Numerical optimization and inverse problems in mathematical physics

Current Projects

  • Mathematical modeling and simulation of organ biofabrication
  • Multiscale methods for epitaxial growth and traffic flows
  • Large-scale simulations of Hodgkin-Huxley neuronal network dynamics


Teaching Activities

Current Courses

  • MATH 526: Numerical Linear Algebra (15Fall)
  • MATH 242: Elementary Differential Equations (15Fall)

Previous Courses

  • MATH 141 -- Calculus I (12Fall)
  • MATH 241 -- Vector Calculus (14Spring)
  • MATH 242 -- Elementary Differential Equations (11Fall, 12Spring, 15Spring)
  • MATH 520 -- Ordinary Differential Equations (15Spring)
  • MATH 524 -- Nonlinear Optimization (14Fall)
  • MATH 544 -- Linear Algebra (12Spring, 12Fall)
  • MATH 708 -- Foundations of Computational Mathematics I (13Fall)
  • MATH 709 -- Foundations of Computational Mathematics II (14Spring)


Honors and Other Special Scientific Recognition

  • Mathematical Biosciences Institute Early Career Award, 02/2013 - 05/2013
  • NSF Joint Math Institutes' Postdoctoral Fellowship, NSF/SAMSI 09/2009 - 08/2011
  • Junior Oberwolfach Fellows, 06/2009


5 Selected Publications

  • Yi Sun, Ilya Timofeyev, Kinetic Monte Carlo simulations of 1D and 2D traffic flows: Comparison of two look-ahead rules, Physical Review E, 89, pp. 052810, 2014.
  • Yi Sun, Xiaofeng Yang, Qi Wang, In-silico analysis on biofabricating vascular networks using kinetic Monte Carlo simulations, Biofabrication, 6, 015008, 2014.
  • Yi Sun, Qi Wang, Modeling and simulations of multicellular aggregate self-assembly in biofabrication using kinetic Monte Carlo methods, Soft Matter, 9, pp.2172–2186, 2013.
  • Xiaofeng Yang, Yi Sun, Qi Wang, A phase field approach for multicellular aggregate fusion in biofabrication, Journal of Biomechanical Engineering, 135, 71005, 2013.
  • Yi Sun, Russel Caflisch, Bjorn Engquist, A multiscale method for epitaxial growth, SIAM Multiscale Model. Simul., 9, pp.335–354, 2011.


IMI Preprints and Seminars

IMI Seminars


Curriculum Vitae

© Interdisciplinary Mathematics Institute | The University of South Carolina Board of Trustees | Webmaster