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SUMMARY:Computing the spectra of differential operators
DTSTART:20210610T161500
DTEND:20210610T171500
DTSTAMP:20260407T103421Z
UID:3b1e7498d19ce0e1d9fbf1ddf1bd81d28e426a8f940f21e5d4225ae0
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Alex Townsend (Cornell University)\nSpectral methods for
  solving differential eigenproblems usually follow the ``discretize-then-s
 olve'' paradigm. Discretize first\, and then solve the matrix eigenproblem
 . The discretize-then-solve paradigm can be tricky for differential eigenp
 roblems as the spectrum of matrix discretizations may not converge to the 
 spectrum of the differential operator. Moreover\, it is impossible to full
 y capture the continuous part of the spectrum with a finite-sized matrix e
 igenproblem. In this talk\, we will discuss an alternative ``solve-then-di
 scretize'' paradigm for differential eigenproblems. To compute the discret
 e spectrum\, we will discuss a continuous analogue of FEAST by approximati
 ng the action of the resolvent operator. For the continuous spectra\, we w
 ill use a Cauchy-like integral to calculate a smoothed version of the so-c
 alled spectral measure. This is joint work with Matthew Colbrook and Andre
 w Horning.
LOCATION:https://epfl.zoom.us/j/84030108577?pwd=bHh2Z3J2YllvTWdteHA3MHhVcn
 IyUT09
STATUS:CANCELLED
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