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Department of Mathematics


Xinfeng Liu

Title: Professor
Department: Mathematics
College of Arts and Sciences
Phone: 803-576-5849
Office: LeConte 329
Office Hours: MW 9:30AM-11:00AM
Resources: My Website
Curriculum Vitae [pdf]
Xinfeng Liu


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


Director of Undergraduate Program, 2019-Present, University of South Carolina
Professor, 2018-Present, University of South Carolina
Associate Professor, 2013-2017, University of South Carolina
Assistant Professor, 2009-2013, University of South Carolina
Visiting Assistant Professor, 2006-2009, University of California at Irvine

Courses Taught

MATH 141 Calculus I
MATH 142 Calculus II
MATH 241 Vector Calculus
MATH 242 Elem Differential Equations
MATH 344 Applied Linear Algebra
MATH 520 Ordinary Differential Equations
MATH 526 Numerical Linear Algebra
MATH 527 Numerical Analysis
MATH 544 Linear Algebra
MATH 550 Vector Analysis
MATH 554 Analysis
MATH 708 Foundations of Computational Mathematics I
MATH 709 Foundations of Computational Mathematics II
MATH 723 Differential Equations I
MATH 724 Differential Equations II
MATH 728B Modeling of Complex Biological Systems


Dr. Liu’s research is multi-disciplinary and mainly lies in the areas of computational and mathematical biology, and computational fluid dynamics. One of his current research is focused on the numerical simulation and mathematical modeling of cancer stem cells and cell signaling pathways, which play vital roles in the development of a variety of life-threatening or chronic diseases, such as cancer, autoimmunity and diabetes. His work has been partially supported by NSF Grants, South Carolina EPSCoR GEAR grants and USC ASPIRE I grant. Dr. Liu has been invited to serve as NSF panel, and referee for more than 25 professional journals, and give more than 90 research talks, department seminars or colloquium at various professional conferences, universities and national labs.

Selected Publications

  • Shuang Liu, X. F. Liu. Krylov implicit integration factor method for a class of stiff reaction-diffusion systems with moving free boundaries. DCDS-B, doi: 10.3934/dcdsb.2019176, 2019.
  • Sameed Ahmed, X. F. Liu. High order compact integration factor methods for systems with inhomogeneous boundary conditions. Journal of Computational and Applied Mathematics, 348, pp 89-102, 2019.
  • X. F. Liu, S. Johnson, S. Liu, D. Kanojia, W. Yue, U. Singn, Qian Wang, Qi Wang, Q. Nie, H. X. Chen. Nonlinear Growth Kinetics of Breast Cancer Stem Cells: Implications for Cancer Stem Cell Targeted Therapy. Scientific Reports (Nature), 3: 2437, DOI: 10.1038/srep02473, 2013.
  • C. Chan, X. F. Liu, L. M. Wang, L. Bardwell, Q. Nie, G. Enciso. Protein scaffolds can enhance the bi-stability of multisite phosphorylation systems. PLoS Computational Biology, 8 (6), 2012.
  • X. F. Liu, Q. Nie. Compact integration factor methods for complex domains and adaptive mesh refinement. Journal of Computational Physics, 229 (16), pp 5692-5706, 2010.

Challenge the conventional. Create the exceptional. No Limits.