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Department of Mathematics


Yi Sun

Title: Professor
Department: Mathematics
College of Arts and Sciences
Phone: 803-777-7636
Office: LeConte 317
Office Hours: T Th: 10:00AM - 11:30AM
Resources: My Website
Yi Sun

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.


  • Ph.D. in Applied and Computation Mathematics, Princeton University (2006)
  • M.S. in Computational Mathematics, Peking University (2002)
  • B.S. in Computational Mathematics, Peking University (2002)


  • Professor, University of South Carolina (2021 – present)
  • Associate Professor, University of South Carolina (2015 – 2020)
  • Assistant Professor, University of South Carolina (2011 – 2015)
  • NSF Joint Institutes' Postdoc, Statistical & Applied Mathematical Sciences Institute (2009 – 2011)
  • Research Scientist, Courant Institute, NYU (206 – 2009)

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

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.