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Department of Mathematics


Yi Sun

Title: Professor
Department: Mathematics
College of Arts and Sciences
Phone: 803-777-7636
Office: COL 2012I
Office Hours: T Th: 10:00AM - 11:30AM
Resources: My Website
Department of Mathematics
Yi Sun


Ph.D. Applied and Computational Mathematics Princeton University 2006
M.S. Computational Mathematics Peking University 2002
B.S. Computational Mathematics Peking University 1999


01/2021 – present Professor, University of South Carolina
08/2015 – 12/2020 Associate Professor, University of South Carolina
08/2011 – 08/2015 Assistant Professor, University of South Carolina
08/2009 – 08/2011 NSF Joint Institutes' Postdoc, Statistical & Applied Mathematical Sciences Institute
07/2006 – 07/2009 Research Scientist,  Courant Institute, NYU

Courses Taught

Math 141: Calculus I
Math 142: Calculus II
Math 241: Vector Calculus
Math 242: Elemetary Differential Equations
MATH 344: Applied Linear Algebra
MATH 520: Ordinary Differential Equations
MATH 524: Nonlinear Optimization
Math 526: Numerical Linear Algebra
MATH 527: Numerical Analysis
MATH 544: Linear Algebra
MATH 708: Foundations of Computational Mathematics I
MATH 709: Foundations of Computational Mathematics II


My research interests include

  • 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.

Selected Publications

  • Yi Sun,  
       Simulations of bi-direction pedestrian flow using kinetic Monte Carlo methods,
       Physica A, 524 (2019), pp. 519–531.
  • Yi Sun,
        Kinetic Monte Carlo simulations of two-dimensional pedestrian flow models,
       Physica A, 505 (2018), pp.836–847.
  • E. Bulanova, E. Koudan, J. Degosserie, C. Heymans, F. Pereira, V. Parfenov, Yi Sun, Qi Wang, S. Akhmedova, I. Sviridova, N. Sergeeva, G. Frank, Y. Khesuani, C. Pierreux, V. Mironov,
        Bioprinting of a functional vascularized mouse thyroid gland construct,
        Biofabrication, 9 (2017), pp.034105.
  • Yi Sun, Qi Wang,
       In-silico analysis on 3D biofabrication using kinetic Monte Carlo simulations,
       Advances in Tissue Engineering and Regenerative Medicine, 2 (2017), pp.00045.
  • Yi Sun, Xiaofeng Yang, Qi Wang,
       In-silico analysis on biofabricating vascular networks using kinetic Monte Carlo simulations,
       Biofabrication, 6 (2014), pp.015008.
  • Pierre Gremaud, Yi Sun,
       Numerical study of singularity formation in relativistic Euler flows,
       Communications in Computational Physics, 16 (2014), pp.348–364.
  •  Yi Sun, Ilya Timofeyev,
       Kinetic Monte Carlo simulations of 1D and 2D traffic flows: Comparison of two look-ahead rules,
       Physical Review E, 89 (2014), pp.052810.
  • Yi Sun, Qi Wang,
       Modeling and simulations of multicellular aggregate self-assembly in biofabrication using kinetic Monte Carlo methods,  
       Soft Matter, 9 (2013), pp.2172–2186.
  • Yi Sun, Aaditya V. Rangan, Douglas Zhou, David Cai,
       Coarse-grained event tree analysis for quantifying Hodgkin-Huxley neuronal network dynamics,
       Journal of Computational Neuroscience, 32 (2012), pp.55–72. 
  • Yi Sun, Russel Caflisch, Bjorn Engquist,
       A multiscale method for epitaxial growth,
       SIAM Multiscale Model. Simul., 9 (2011), pp.335–354.

Challenge the conventional. Create the exceptional. No Limits.