



Lili Ju
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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.
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Teaching Activities
Current Courses
- MATH 241 - Vector Calculus
- MATH 708 - Foundations of Computational Mathematics I
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
- USC Research & Productive Scholarship, University of South Carolina, 2006-2007.
- 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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Selected Publications
- W. Leng, L. Ju, M. Gunzburger, S. Price and T. Ringler, A parallel high-order accurate finite element nonlinear Stokes ice sheet model and benchmark experiments, J. Geophys. Res., in press.
- T. Ringler, D. Jacobsen, M. Gunzburger, L. Ju, M. Duda and W. Skamarock, Exploring a multiresolution modeling approach within the shallow-water equations, Mon. Wea. Rev., Vol. 139, pp. 3348-3368, 2011.
- H. Zhang, L. Ju, M. Gunzburger, T. Ringler and S. Price, Coupled models and parallel simulations for three dimensional full-Stokes ice sheet modeling, Numer. Math. Theo. Meth. Appl., Vol. 4, pp. 359-381, 2011.
- L. Ju, T. Ringler and M. Gunzburger, Voronoi diagrams and their application in climate science, in Numerical Techniques for Global Atmospheric Models, Lecture Notes in Computational Science and Engineering, Vol. 80, pp. 313-342, Ed. by P. Lauritzen, C. Jablonowski, M. Taylor, R. Nair, Springer, 2011.
- L. Ju, L. Tian and D. Wang, A posteriori error estimates for finite volume approximations of elliptic equations on general surfaces, Comput. Methods Appl. Mech. Engrg., Vol. 198, pp. 716-726, 2009.
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IMI Preprints and Seminars
IMI Preprints
- Finite element approximation of the Cahn-Hilliard 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 Navier-Stokes 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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