Research Interests

Dr. Liu’s research is multidisciplinary and mainly lies in the areas of computational and mathematical biology, and computational fluid dynamics. One of his current research projects 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 the USC ASPIRE I grant. Dr. Liu has been invited to serve as NSF panel, 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.

Education

• Ph.D. in Computational Mathematics, Stony Brook University (2006)
• M.S. in Applied Mathematics, Southeast University, China (1999)
• B.S. in Applied Mathematics, Fudan University, China (1997)

Experience

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

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

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.