Lili Ju



Education
Ph.D.  Applied Mathematics  Iowa State University  2002 
M.S.  Computational Mathematics  Chinese Academy of Sciences  1998 
B.S.  Mathematics  Wuhan University, China  1995 
Experience
2013 – Present  Professor  Department of Mathematics, Univ. of South Carolina 
2008 – 2012  Associate Professor  Department of Mathematics, Univ. of South Carolina 
2004 – 2008  Assistant Professor  Department of Mathematics, Univ. of South Carolina 
2002 – 2004  Industrial Postdoctoral Associate  Institute for Mathematics and its Applications, Univ. of Minnesota 
Research
Research Interests
 Numerical analysis and scientific computation.
 Numerical ice sheet and ocean modeling
 Image processing techniques.
 Parallel and highperformance computing.
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Teaching Activities
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 706  Numerical Linear Algebra
 MATH 708  Foundations of Computational Mathematics I
 MATH 726  Numerical Analysis I
 MATH 727  Numerical Analysis II
 MATH 728J  Selected Topics: Scientific Computing I
 MATH 798  Directed Readings and Research
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Honors and Other Special Scientific Recognition
 2016 ACM Gordon Bell Prize ?finalist in High Performance Computing, 2016.
 USC Featured Scholar of June 2012, University of South Carolina.
 J.J.L. Hinrichsen Award for outstanding research in Applied Math., 2002, Iowa State University.
 University Research Excellence Award for graduate students, 2002, Iowa State University.
 "YiLiDa" Award for excellent graduate studies, 1996, Chinese Academy of Sciences.
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5 Selected Publications
 Q. Du, M. Gunzburger and L. Ju, Constrained centroidal Voronoi tessellations for surfaces, SIAM J. Sci. Comput., 24, pp. 14881506, 2003.
 Q. Du, M. Emelianenko and L. Ju, Convergence of the Lloyd algorithm for computing centroidal Voronoi tessellations, SIAM J. Numer. Anal., 44, pp. 102119, 2006.
 J. Wang, L. Ju and X. Wang, An edgeweighted centroidal Voronoi tessellation model for image segmentation, IEEE Trans. Image Proc., 18, pp. 18441858, 2009.
 W. Leng, L. Ju, M. Gunzburger, S. Price and T. Ringler, A parallel highorder accurate finite element nonlinear Stokes ice sheet model and benchmark experiments, J. Geophys. Res., 117, F01001 (24 pages), 2012.
 Q. Du, L. Ju, L. Tian and K. Zhou, A posteriori error analysis of finite element method for linear nonlocal diffusion and peridynamic models, Math. Comp., Vol. 82, pp. 18891922, 2013.
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IMI Preprints and Seminars
IMI Preprints
 Finite element approximation of the CahnHilliard equation on surfaces (2009)
 Analysis of a mixed finite volume discretization of fourth order equations on general surfaces (2008)
 A posteriori error estimates for finite volume approximation of elliptic equations on general surfaces (2008)
 Numerical simulations of the steady NavierStokes equations using adaptive meshing schemes (2007)
 Weak global convergence of the Lloyd method for computing centroidal Voronoi tessellations in R^d (2007)
 Conforming centroidal Voronoi Delaunay triangulation for quality mesh generation (2006)
 Finite volume methods on general surfaces (2005)
 Adaptive finite element methods for elliptic PDEs based on conforming centroidal Voronoi Delaunay triangulations (2005)
IMI Seminars
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