Université du Prince Edward Island, 5 - 8 juin 2015
How does one compute the eigenvalue of an elliptic operator on a bounded domain? It is easy to compute such approximations; it requires more effort to compute them well. In this talk I'll provide a high-level survey of the challenges of approximation of spectra. I'll then present a high-accuracy method which is based on integral operators, and another, lower-accuracy technique which is suited to validated numerical computations.