IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

Xiaofeng Yang

  • Associate Professor
  • Department of Mathematics
  • University of South Carolina


Education

Ph.D. Mathematics Purdue University, Indiana 2007
M.S. Mathematics University of Science and Technology of China 2001
B.S. Mathematics University of Science and Technology of China 1998

Experience

2013 – Present Associate Professor Department of Mathematics, Univ. of South Carolina
2009 – 2013 Assistant Professor Department of Mathematics, Univ. of South Carolina
2007 – 2009 Postdoctoral Research Associate Department of Mathematics, Univ. of North Carolina at Chapel Hill

Research

Research Interests

  • computational and applied mathematics
  • modeling and scientific computing with applications to soft matter/complex fluids/cell dynamics/cellular aggregate fusion
  • numerical analysis and algorithm development of the spectral method and the finite element method

Current Projects

  • Multiphase Complex fluids: (1) Energy stable schemes for multiphase complex fluids on the phase field model; (2) Parallel spectral codes development; (3) Adaptive moving mesh method on the spectral method; (4) Numerical simulations
  • Cell Fusion
  • Cell Oscillation

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Teaching Activities

Current Courses

  • Math 141 - Calculus I
  • Math 514 - Financial Mathematics I

Previous Courses

  • Math 141 - Calculus I
  • Math 142 - Calculus II
  • Math 241 - Vector Calculus
  • Math 242 - Elementary Differential Equations
  • Math 514 / Stat 522 - Financial Mathematics I
  • Math 521 - Boundary Value Problems and Partial Differential Equations
  • Math 526 - Numerical linear algebra
  • Math 709 - Foundations of Computational Mathematics II

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5 Selected Publications

  • X. Yang, M. G. Forest, C. Liu and J. Shen, Shell cell rupture of nematic droplets in a viscous fluid, J. Non-Newtonian Fluid Mech., 166: 487-499, 2011.
  • J. Shen and X. Yang, A phase-field model and its numerical approximation for two-phase incompressible flows with different densities and viscositites, SIAM J. Sci. Comput., 32(3):1159-1179, 2010.
  • J. Shen and X. Yang, Numerical approximations of Allen-Cahn equations and Cahn-Hilliard equations. Disc. Conti. Dyn. Sys.- A., 28: 1669-1691, 2010.
  • X. Yang, M. G. Forest, W. Mullins and Q. Wang, Dynamic defect morphology and hydrodynamics of sheared nematic polymers in two space dimensions, J. Rheology, 53:589-615, 2009.
  • J. Shen and X. Yang, An efficient moving mesh spectral method for the phase-field model of two-phase flows, J. Comput. Phys., 228: 2978–2992, 2009.

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IMI Preprints and Seminars

IMI Preprints

IMI Seminars



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Curriculum Vitae

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