We will discuss recent results on the local convergence of Anderson Acceleration (also known as Pulay mixing or DIIS). This is an algorithm for accelerating the convergence of fixed point or Picard iteration and is widely used in quantum chemistry and physics codes.
In this talk we will discuss our convergence results for the method, illustrate the results with an application to radiative transport, and report on some recent results on non-differentiable nonlinearities and
BIO: Dr Kelley received his PhD in Applied Mathematics from Purdue University (1976) and is a Drexel Professor of Mathematics at NC State. His research is in Control, Optimization and Modeling, Numerical Analysis and Scientific Computing, and he authored 4 books, and over a 100 journal articles, and he supervised more than 18 PhD students.Tim has served in a variety of leadership positions including as SIAM Vice President for Publications (2006-2009), Editor-in-chief SIAM J. Optimization (2000-2004), Editor-in-chief, SIAM Review (2011 -- 2016), SIAM Board of Trustees. He is a SIAM Fellow and AAAS Fellow.