Xiaofeng Yang



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. NonNewtonian Fluid Mech., 166: 487499, 2011.
 J. Shen and X. Yang, A phasefield model and its numerical approximation for twophase incompressible flows with different densities and viscositites, SIAM J. Sci. Comput., 32(3):11591179, 2010.
 J. Shen and X. Yang, Numerical approximations of AllenCahn equations and CahnHilliard equations. Disc. Conti. Dyn. Sys. A., 28: 16691691, 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, 53:589615, 2009.
 J. Shen and X. Yang, An efficient moving mesh spectral method for the phasefield model of twophase flows, J. Comput. Phys., 228: 2978–2992, 2009.
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IMI Preprints and Seminars
IMI Preprints
 Modeling Fusion of Cellular Aggregates in Biofabrication Using Phase Field Theories (2011)
 MassConserved Phase Field Models for Binary Fluids (2011)
IMI Seminars
 The dynamics of two phase complex fluids: drop formation/pinchoff (2012)
 A Promoting Regression of Atherosclerotic Plaques (2011)
 Phasefield theory of multiphase flows (2009)
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