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Parallel Solver for 3-D Full-Stokes Ice Sheet Modeling

A Parallel Solver for 3-D Full-Stokes Ice Sheet Modeling: Simulation results of the temperature evolution of a Greenland ice sheet after 10 years (Ju et al.).

A Parallel Solver for 3-D Full-Stokes Ice Sheet Modeling 2

A Parallel Solver for 3-D Full-Stokes Ice Sheet Modeling: Zoom-in of a region close to the ice sheet edge (Ju et al.).

“Trident”-shaped branched tube formation

Time evolution of “trident”-shaped branched
tube formation
via fusion of uniluminal vascular
spheroids in a KMC simulation. Top: the
cross-sectional views. Red: smooth muscle
cells; Green: endothelial cells; Blue: lumen
particles (see enlargement). Bottom: the external
views. (Y. Sun, X. Yang and Q. Wang)

Computational Analysis of Biofabrication

Computational Analysis of Biofabrication Morphogenesis of a Branching Vascular Construct: Vascular construct made of a layer-by-layer deposition in a designed Y-shape pattern (Q. Wang et al.).

Fifth Roots

Fifth Roots: Take a random walk in the complex plane starting from 0, each step an equiprobable fifth root of unity. Ten steps later, there's a circle centered at your destination whose area is proportional to your probability of being there. Other than two minor modifications (taking the fifth power of all points and inflating the atom at zero), this is the distribution of complex homogeneous eigenvalues of the all-ones 10X10X10X10X10X10 hypermatrix. (Joshua Cooper with Aaron Dutle.)

Spheres in Lattice

Monochromatic Boxes in Color Grids: What is the size of the smallest box (left) so that, if the elements are colored with two colors, there must be a nontrivial "subgrid" (right) all in one color? (See Cooper et al.)

Adaptivity and Variational Stabilization for Convection-Diffusion

Adaptivity and Variational Stabilization for Convection-Diffusion Equations: Every fourth adaptive cycle of Algorithm 1 with modification at the outflow boundary starting from cycle 3 for the test problem (3.25) with $\epsilon = 5 \cdot 10^{-3}$. The first row depicts the finite element solution $u _ h$. The second row displays the corresponding grids of $u _ h$. (See Cohen et al.)

Adaptive Petrov-Galerkin Methods

Adaptive Petrov-Galerkin Methods for First Order Transport Equations: The 18th iterate of the adaptive solver and corresponding grid of model problem (6.1) with Algorithm 5.3 with $X _ h = P _ {1,T _ h}, Z _ h = P _ {3,T _ {h/8}}$ and $K = 9$ (See Dahmen et al.).

Project Highlights

Digitizing Optical Sound Tracks

The University of South Carolina Moving Image Research Collections (MIRC) is collaborating with research faculty from the University’s Interdisciplinary Mathematics Institute (IMI) to develop an open-source software application to directly reproduce the optical sound tracks of motion picture films from digital scans producing, as a result, a synchronized sound film file. For more information and to download the open-source software, please visit the project's website.

News Highlights

Special Announcements

28th Cumberland Conference on Combinatorics, Graph Theory & Computing

The Cumberland Conference on Combinatorics, Graph Theory, and Computing is an annual conference that brings together internationally known researchers, industrial mathematicians and computer scientists, and southeastern university and college professors, post-docs, graduate and undergraduate students, to discuss the latest advances in discrete mathematics and computer science. Each year, a different university in the Cumberland region hosts the conference. This year, the University of South Carolina is pleased to host the Twenty-Eighth Cumberland Conference, dedicated to László Székely's 60th Birthday, on its Columbia campus, from May 15 – 17, 2015. For more information, please go to our 28th Cumberland Conference homepage.

USC Research CyberInfrastructure Program

Qi Wang was appointed by the Provost as the Chair of the Faculty Advisory Committee for the 2014-2015 USC Research CyberInfrastrucure Program. The RCI Program, directed by Phil Moore, is charged with providing High Performance Computing to the university. The Faculty Advisory Committee members serve as points of contact for the RCI program. Faculty and staff are encouraged to contact any Faculty Advisory Committee member for help with questions about where to turn for access to USC's research computing resources. They may also contact the RCI team directly by email:
For more information, please visit:

CAS Research Computing Center

The College of Arts and Sciences (CAS) Research Computing Center (RCC) provides high performance computing and visualization resources (including assistance with the Computational Graphics Lab of the IMI), access to software, workshops, one-on-one consulting with domain experts, and complete data management strategies to researchers across all departments and divisions within the College. For more information, please contact the Head of Research Computing, Jun Zhou ( ) or visit:

Endowed Chair Position Available

Upcoming Events

Applied and Computational Mathematics Seminars: Qingshan Chen "Mimetic and convergent discretization of vector fields on unstructured meshes"
Applied and Computational Mathematics Seminars: Xiaofeng Wang "TBA"
Applied and Computational Mathematics Seminars: Timo Heister "A parallel solution approach for crack propagation using adaptive mesh refinement"
Applied and Computational Mathematics Seminars: Jianfeng Lu "TBA"
IMI Distinguished Lecture Series: Emmanuel Candes "TBA"

Full Calendar >>

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