Delft Institute of Applied Mathematics
Martin van Gijzen has been appointed as the new Scientific Director of the DHPCEffective September 1, Martin van Gijzen has been appointed as the new Scientific Director of the Delft High Performance Computing Centre (DHPC). Van Gijzen brings a wealth of knowledge and expertise to the centre, and he is committed to further developing the centre into a knowledge hub and go-to portal for high performance computing expertise at the TU Delft.
Navigating the Uncharted Waters of Fluid MechanicsFluid mechanics, the scientific study of how liquids move and interact, plays an indispensable role in advancing our scientific understanding of the world around us. It is part of the bedrock upon which many areas of science, from physics and engineering to medicine and even ecology, are built. As it stands, science has already deciphered much of its intricate landscape. Yet, many open problems continue to be a frontier of uncharted knowledge, part of which Manuel Gnann’s Vidi research aims to explore.
27 February 2024 16:00 till 17:00
[AN] Moritz Egert: Bounded functional calculus and dynamical boundary conditionsWe consider divergence form operators with complex coefficients on an open subset of Euclidean space. Boundary conditions in the corresponding parabolic problem are dynamical, that is, the time derivative appears on the boundary. As a matter of fact, the elliptic operator and its semigroup act simultaneously in the interior and on (a part of) the boundary.
Over $L^2$ we have a m-sectorial operator by the form method, and we are interested in extrapolating the bounded $H^\infty$-calculus to $L^p$-spaces. We prove that this is possible if the coefficients satisfy an algebraic condition, called $p$-ellipticity, by adapting the heat flow/Bellman method of Carbonaro-Dragičević to our setting. A part of the talk will consist of a very gentle introduction to this technique that the speaker had to learn about from scratch before starting this project.
Joint work with Tim Böhnlein (TU Darmstadt) and Joachim Rehberg (WIAS Berlin).
We focus on Functional Analysis and Operator Theory with applications to the study of (partial) differential equations, both deterministic and non-deterministic.
We cover a large spectrum of research areas in probability theory, going from very application-driven towards fundamental research.
Discrete Mathematics & Optimization
Mathematical optimization lies at the heart of many techniques in economy, econometrics, process control, and so on.
We work on mathematical modeling of physical phenomena, often leading to systems of (partial) differential equations.
Our research program concentrates on the development and application of computing methods to the applied sciences.