In this report we show that classical Gauss quadrature is not adequate for a large class of correlation and overlap integrals originating from quantum mechanics. These integrals are usually highly oscillatory and therefore special methods are necessary for accurate computations. We develop and test a new, highly efficient method based on some recent results about numerical steepest descent to solve the problem stated. Our approach is built ...

This report aims to shed some light on the interrelationship between (different types of) scenarios and risk assessment by looking more closely at risk management approaches in Denmark, the Netherlands, Germany and the United Kingdom. In turn, it aims to develop a more nuanced understanding of the value and limits of scenarios in risk assessment.

This paper describes autonomous racing of RC race cars based on mathematical optimization. Using a dynamical model of the vehicle, control inputs are computed by receding horizon based controllers, where the objective is to maximize progress on the track subject to the requirement of staying on the track and avoiding opponents. Two different control formulations are presented. The first controller employs a two- level structure, consisting ...