The talk starts with the observation that many well-known systems of diffusive type
can be written as Wasserstein gradient flows. The aim of the talk is
to understand _why_ this is the case. We give an answer that uses a
connection between diffusive PDE systems and systems of Brownian
particles, and we show how the Wasserstein metric arises in this
context. This is joint work with Johannes Zimmer, Nicolas Dirr, and Stefan Adams.
The Jacobi-Davidson method, proposed by Sleijpen and Van der Vorst more than a decade ago, has been successfully used to numerically solve large matrix eigenvalue problems. In this talk we will give an introduction to and an overview of this method, and also point out some recent developments.