IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

Xinfeng Liu

  • Professor
  • Department of Mathematics
  • University of South Carolina


Ph.D. Computational Mathematics State University of New York at Stony Brook 2006
M.S. Applied Mathematics Southeast University, Nanjing, China 1999
B.S. Pure and Applied Mathematics Fudan University, Shanghai, China 1997


2018 – Present Professor Department of Mathematics, University of South Carolina
2013 – 2017 Associate Professor Department of Mathematics, University of South Carolina
2009 – 2013 Assistant Professor Department of Mathematics, University of South Carolina
2006 – 2009 Visiting Assistant Professor Department of Mathematics, University of California, Irvine


Research Interests

  • Computational and Mathematical Biology
  • Numerical Partial Differential Equations
  • Computational Fluid Dynamics
  • Scientific Computing

Current Projects

My current research mainly lie in the interface between mathematics and biology, and computational fluid dynamics. My research in computational and mathematical biology is focused on the numerical simulation and mathematical modeling of cell signaling pathways, which pay vital roles in the development of life threatening or chronic diseases, such cancer, autoimmunity and diabetes. My research in computational fluid dynamics is focused on the numerical simulations of fluid instability and turbulent fluid flow. My current work is also supported by NSF and South Carolina EPSCoR GEAR grants.


Teaching Activities

Current Courses

  • Math 142 - Calculus II
  • Math 344 - Applied Linear Algebra

Previous Courses

  • Math 141 - Calculus I
  • Math 142 - Calculus II
  • Math 241 - Vector Calculus
  • Math 242 - Elementary Differential Equations
  • Math 520 - Ordinary Differential Equations
  • Math 526 - Numerical Linear Algebra
  • Math 527 - Numerical Analysis
  • Math 550 - Vector Analysis
  • Math 554 - Analysis 1
  • Math 708 - Foundations of Computational Mathematics
  • Math 723 - Differential Equations
  • Math 724 - Differential Equations II


Honors and Other Special Scientific Recognition

  • Peijing Scholarship, Southeast University, China, 1999
  • SIAM student travel awards, SIAM, 2005
  • Sigma Xi Travel Awards, SUNY at Stony Brook, 2005
  • Landahl Travel Awards, Society for Mathematical Biology, 2008


5 Selected Publications

  • X. F. Liu, M. X. Wang. The Critical Exponent of Doubly Singular Parabolic Equations. Journal of Mathematical Analysis and Applications (Impact factor: 1.345), 257, pp 170-188, 2001.
  • X. F. Liu, E. George, W. Bo, J. Glimm. Turbulent mixing with physical mass diffusion. Physical Review E. (Impact factor: 2.352), 73, 056301, 2006.
  • X. F. Liu, Y. H. Li, J. Glimm, X. L. Li. A front tracking algorithm for limited mass diffusion. Journal of Computational Physics (Impact factor: 2.949), 222 (2), pp 644-653, 2007.
  • X. F. Liu, L. Bardwell, Q. Nie. A combination of multisite phosphorylation and substrate sequestration produces switch-like responses. Biophysical Journal (Impact factor: 4.39), 98 (8), pp 1396-1407, 2010.
  • X. F. Liu, Q. Nie. Compact implicit integration factor methods with complex do- mains and adaptive mesh refinement. Journal of Computational Physics (Impact factor: 2.949), 229 (16), pp 5962-5706, 2010.


IMI Preprints and Seminars

IMI Seminars


Curriculum Vitae

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