Repository Of The seminar: Computational Dynamics
Professor Oliver Junge
TUM
"Computing Spectral Measures of Self-adjoint Operators", MATTHEW COLBROOK, ANDREW HORNING AND ALEX TOWNSEND.
After a brief recap on the required theory we develop an algorithm for computing smoothed approximation of spectral measures associated to self-adjoint operators on Hilbert spaces. We will exploit the additional regularity of the measure, which often occurs in many commonly used operators, to derive convergence estimates and find a way to improve the approximation rate. We also implement some relevant examples on MATLAB to highlight some experimental aspects.