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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

2014 International Conference on Modeling of Complex Biological Systems

The Chern Institute of Mathematics at Nankai University, Tianjin, China, is hosting the 2014 International Conference on Modeling of Complex Biological Systems, May 26-29, 2014. The conference will focus on the study of complex biological systems using theoretical, computational, and experimental methods, and will highlight cutting-edge research in biological sciences, biophysical modeling and simulation.

The Organizing Commitee, Chaired by Qi Wang (IMI) have invited researchers from theoretical, computational, and experimental research areas to participate with a focus on: (i) mechano-chemical modeling of cellular systems, including single cell behavior, collective cellular behavior, and the behavior of cell ensembles, (ii) ion transport phenomena across the membrane, (iii) protein and biopolymer dynamics as well as signaling network, (iv) new experimental findings involving complex biological systems, and (v) various novel computational methods for studying complex biological systems.

For more information, please visit:

Endowed Chair Position Available

Upcoming Events

Combinatorics Seminars: Shoudong Man "Connected Hypergraphs with Small Spectral Radius"
Applied and Computational Mathematics Seminars: Francesca Tantardini "Quasi-optimality in the backward Euler-Galerkin method for linear parabolic problems"

Full Calendar >>

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