
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...

Tau Shean Lim
Mon Sep 26, 2016
4:00 pm
We discuss traveling front solutions u(t,x) = U(xct) of reactiondiffusion equations u_t = Lu + f(u) with ignition media f and diffusion operators L generated by symmetric Levy processes X_t. Existence and uniqueness of fronts are wellknown in the case of classical diffusion (i.e., Lu = Laplacian(u)) and nonlocal diffusion (Lu = J*u  u). Our...

Zuoqiang Shi
Mon Jun 6, 2016
4:00 pm
In this talk, I will introduce a novel low dimensional manifold model for image processing problem.This model is based on the observation that for many natural images, the patch manifold usually has low dimension structure. Then, we use the dimension of the patch manifold as a regularization to recover the original image. Using some formula in...

Jianxian Qiu
Fri May 27, 2016
4:00 pm
In this presentation, a class of highorder weighted essentially nonoscillatory (WENO) schemes based on Hermite polynomials, termed HWENO (Hermite WENO) schemes, for solving nonlin ear hyperbolic conservation law systems is presented. The construction of HWENO schemes is based on a finite volume formulation, Hermite interpolation, and...

Jianlin Xia
Mon May 16, 2016
4:00 pm
The study of matrix structures makes it feasible to quickly solve some large discretized PDEs and integral equations. In particular, direct factorizations of some 2D and 3D elliptic problems can reach nearly linear complexity. Here, we show a framework that can be used to unify dense and sparse structured direct solvers, which are traditionally...

Michael Mahoney
Mon May 9, 2016
4:00 pm
One of the most straightforward formulations of a feature selection problem boils down to the linear algebraic problem of selecting good columns from a data matrix. This formulation has the advantage of yielding features that are interpretable to scientists in the domain from which the data are drawn, an important consideration when machine...