
Xiaozhe Hu
Mon Dec 5, 2016
4:00 pm
In this talk, motivated by the application in computing distance metric for protein interaction networks, we will discuss the algorithmic development of fast solvers for graph Laplacian systems. Two different solvers will be introduced. One solver is based on the algebraic multigrid method and the other one is based on a special...

Xiaoping Xie
Mon Nov 28, 2016
4:00 pm
We propose a weak Galerkin (WG) finite element method for 2 and 3dimensional convectiondiffusionreaction problems on conforming or nonconforming polygon/polyhedral meshes. The WG method uses piecewisepolynomial approximations of degree $k(k\ge 0)$ for both the scalar function and its trace on the interelement boundaries. We show that the...

Shravan Veerapaneni
Wed Nov 23, 2016
4:00 pm
Simulating the lowRe hydrodynamics of particulate flows is an extremely challenging and important problem that arises in several disciplines. In this talk, I will present recent advances made by our group in overcoming several computational bottlenecks, especially those arising in the context of dense suspensions confined by complex geometries....

Richard S. Falk
Mon Nov 21, 2016
4:00 pm
We consider the finite element solution of the vector Laplace equation on a
domain in two dimensions. For some choices of boundary conditions, there is a
theory, making use of finite element differential complexes and bounded
cochain projections, that shows that a mixed finite element method using
appropriate choices of finite element spaces...

Chris Lester
Mon Nov 14, 2016
4:00 pm
Reactiondiffusion models are widely used to study spatiallyextended chemical reaction systems. The input parameters on which these models are predicated are experimentally derived. In order to understand how the dynamics of a reactiondiffusion model are affected by changes in input parameters, efficient methods for computing parametric...

Deniz Bilman
Mon Nov 7, 2016
4:00 pm
The doublyinfinite Toda lattice is a completely integrable system that possesses soliton solutions. The evolution equation for the Toda lattice is equivalent to an isospectral deformation of a doublyinfinite Jacobi matrix, and the initial value problem can be solved by the inverse scattering transform (IST) associated with this Jacobi matrix. We...

Alex Mahalov
Mon Oct 17, 2016
4:00 pm
We consider stochastic threedimensional rotating NavierStokes equations and prove averaging theorems for stochastic problems in the case of strong rotation. Regularity results are established by bootstrapping from global regularity of the limit stochastic equations and convergence theorems. The energy injected in the system by the noise is large...