Wednesday, April 26, 2017 - 9:00am - 10:00am
Hyeonbae Kang (Inha University)
On the surface of dielectric materials with the negative dielectric constant a resonance occurs. This resonance is called the surface plasmon resonance and is underlying physical phenomenon of important imaging modalities such as SERS (surface enhanced Raman spectroscopy). It turns out that the Plasmon resonance is closely related to the spectrum of the Neumann-Poincare (NP) operator defined on the surface.
Tuesday, November 10, 2015 - 1:25pm - 2:25pm
Yousef Saad (University of Minnesota, Twin Cities)
A well-known technique used in statistical methods is to estimate the trace of some matrix via sampling. For example, one can estimate the trace of exp(A) by computing w=exp(A)v for many vectors v, and the mean of the inner products of v and w will yield an approximation of the trace under some conditions. This basic technique has found uses in areas as diverse as quantum physics, statistics, and numerical linear algebra.
Friday, December 7, 2012 - 9:00am - 9:50am
Wenxian Shen (Auburn University)
The current talk is concerned with the spectral theory, in particular, the principal eigenvalue theory, of nonlocal dispersal operators with time
periodic dependence, and its applications. Nonlocal and
random dispersal operators are widely used to model diffusion systems
in applied sciences and share many properties.
There are also some essential differences between nonlocal and random dispersal operators, for example, a random dispersal operator always has a principal
eigenvalue, but a nonlocal dispersal operator may not
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