Colloquium; Douglas N. Arnold (University of Minnesota) : Computing spectra without solving eigenvalue problems
In this talk we will describe recent major strides which have been made towards a comprehensive theory. In particular, it is now possible to predict the spectrum --both the eigenfunctions and the eigenvalues-- of a large class of elliptic PDE, particularly Schrödinger operators with random potentials. The talk will feature numerous high fidelity large scale finite element computations which have played a crucial role in guiding our understanding, validating theoretical results, and highlighting mysteries as yet unexplained.
Coffee/tea and cookies will be served from 12.15 to 12.45.