BEGIN:VCALENDAR
VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
X-WR-CALNAME:Colloquium - Leo Rebholz\, Clemson University 
X-WR-TIMEZONE:Central Time (US & Canada)
BEGIN:VEVENT
DTSTAMP:20260517T122643Z
UID:tag:localist.com\,2008:EventInstance_45384478979752
DTSTART:20240119T203000Z
DTEND:20240119T213000Z
DESCRIPTION:Title: Anderson acceleration for solving nonlinear systems \n\n
 Abstract: \n\n Anderson acceleration (AA) is an extrapolation technique or
 iginally proposed in 1965 that recombines the most recent iterates and upd
 ate steps in a fixed point iteration to improve the convergence properties
  of the sequence. Despite being successfully used for many years to improv
 e nonlinear solver behavior on a wide variety of problems\, a theory that 
 explains the often-observed accelerated convergence was lacking. In this t
 alk\, we give an introduction to AA\, then present a proof of AA convergen
 ce which shows that it improves the linear convergence rate based on a gai
 n factor of an underlying optimization problem\, but also introduces highe
 r order terms in the residual error bound. We then discuss improvements to
  AA based on our convergence theory\, and show numerical results for the a
 lgorithms applied to several application problems including Navier-Stokes\
 , Boussinesq\, and nonlinear Helmholtz systems.
GEO:33.498114;-86.805524
LOCATION:University Hall\, 4002
SUMMARY:Colloquium - Leo Rebholz\, Clemson University 
URL;VALUE=URI:https://calendar.uab.edu/event/colloquium_-_leo_rebholz_clems
 on_university
CATEGORIES:Lectures & Presentations
END:VEVENT
END:VCALENDAR