-
Rongjie Lai
Mon Apr 16, 2018
4:00 pm
Analyzing and inferring the underlying global intrinsic structures of data from its local information are critical in many fields. In practice, coherent structures of data allow us to model data as low dimensional manifolds, represented as point clouds, in a possible high dimensional space. Different from image and signal processing which handle...
-
Amir Moradifam
Mon Apr 9, 2018
4:00 pm
We study the inverse problem of determining both the source of a wave and its speed inside a medium from measurements of the solution of the wave equation on the boundary. This problem arises in photoacoustic and thermoacoustic tomography, and has important applications in medical imaging. We prove that if $c^{-2}$ is harmonic in $\omega \subset \...
-
Keith Promislow
Mon Mar 5, 2018
4:00 pm
The self organization of phospholipids into membranes is fundamental to the origin of life, allowing for protection of internal structure while necessitating machinery to open pores. Evolutionary pressure has designed a myriad of controls in the guise of surface proteins that adjust the entropy of the lipid-solvent interactions...
-
Zhaosong Lu
Fri Feb 16, 2018
11:00 am
In the first part of this talk, we study a convex-constrained 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 Poisson-type and Stokes-type 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 2m-th 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...
