
Zhaosong Lu
Fri Feb 16, 2018
11:00 am
In the first part of this talk, we study a convexconstrained nonsmooth DC program
in which the concave summand of the objective is an infimum of possibly infinitely many smooth
concave functions. We propose some algorithms by using nonmonotone linear search and extrapolation
techniques for possible acceleration for this problem, and analyze their...

Xuehai Huang
Mon Feb 12, 2018
4:00 pm
A framework to systematically decouple high order elliptic equations into combination of Poissontype and Stokestype equations is developed using the tools of differential complexes and Helmholtz decompositions. The key step is to systematically construct the underling commutative diagrams involving the complexes and Helmholtz decompositions...

Jinchao Xu
Fri Feb 2, 2018
4:00 pm
In this talk, we report a recent joint work with Shuonan Wu that gives a universal construction of simplicial finite element methods for 2mth order partial differential equations in ℝ^n, for any m≥1, n≥1. This family of finite element space consists of piecewise polynomials of degree not greater than m. It has some natural...

Jianxian Qiu
Mon Jan 22, 2018
4:00 pm
In this presentation, we present a simple high order weighted essentially non oscillatory (WENO) schemes to solve hyperbolic conservation laws. The main advantages of these schemes presented in the paper are their compactness, robustness and could maintain good convergence property for solving steady state problems. Comparing with the classical...

Kyle Pounder
Mon Jan 8, 2018
4:00 pm
The finite Toda lattice was proposed originally as a model for finitely many particles in a onedimensional crystal. Now 50 years since its introduction, it has become a canonical model in integrable systems. In this talk, we will consider the long time limit of the finite Toda lattice. The main results are detailed asymptotic formulas for the...

Martin Stynes
Thu Dec 7, 2017
11:00 am
A reactiondiffusion initialboundary problem with a Caputo time derivative of order $\alpha\in (0,1)$ is considered. The solution of such a problem is discussed; it is shown that in general the solution has a weak singularity near the initial time $t=0$, and sharp pointwise bounds on the derivatives of this solution are derived....

Dongming Wei
Fri Dec 1, 2017
11:00 am
This is a report of some recent progress and challenges we have made and encountered in modelling and numerical simulation of materially nonlinear beam structures with applications in microelectricalmechanical systems. For simplicity, the fully nonlinear DE’s and the associated initial/boundary value problems arising from modelling Hollomon’s...