A body of literature has developed concerning "cloaking by anomalous localized resonance". The mathematical heart of the matter involves the behavior of a divergence-form elliptic equation in the plane, ˆ‡ · (a(x)ˆ‡u(x)) = f(x). The complex-valued coefficient has a matrix-shell-core geometry, with real part equal to 1 in the matrix and the core,...
Creator:
Lu, Jianfeng (Duke University)
Created:
2012-09-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Accelerated gradient methods play a central role in optimization, achieving optimal rates in many settings. While many generalizations and extensions of Nesterov's original acceleration method have been proposed, it is not yet clear what is the natural scope of the acceleration concept. In this paper, we study accelerated methods from a continuo...
Creator:
Jordan, Michael I. (University of California, Berkeley)
Created:
2016-05-18
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This talk will describe a variational formula for risk-sensitive reward. This extends the Donsker-Varadhan characterization of principal eigenvalue of a non-negative matrix in discrete case and an elliptic operator in the continuous case. One application to linear and dynamic programming approaches for risk-sensitive control of finite Markov cha...
Creator:
Borkar, Vivek (Indian Institute of Technology)
Created:
2018-05-09
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We present on the use of minimizing movements for analyzing certain free boundary problems expressing the motion of liquid droplets and bubbles. The variational nature of our approach allows one to constrain the volume of each droplet, as well as to control the contact angles that each makes with obstacles. We will discuss the corresponding nume...
Creator:
Ginder, Elliott (Hokkaido University)
Created:
2013-06-05
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
![Avant-postes belges?].](https://dkp5i0hinw9br.cloudfront.net/0f1be828aae0ad0644101914fe71d0c35b1686a4.png "Avant-postes belges?].")