ROMSOC Course on PDAEs in Wuppertal
ROMSOC is a European Industrial Doctorate (EID) project that will run until 2021 bringing together 15 international academic institutions and 11 industry partners. It supports the recruitment of eleven Early Stage Researchers working on individual research projects.
The main objective of the ROMSOC project is to lift mathematical Modelling-Simulation-Optimization and Model Order Reduction to a new level of quality, driven by industrial applications as optical and electronic systems, material engineering, or economic processes.
In order to train the eleven young researchers for the challenges of multi-disciplinary and international co-operation, their scientific work is embedded in a jointly organized doctoral program, in which lectures and workshops address both scientific content and soft skills. This week, a block course on PDAE modelling and simulation took place in Wuppertal.
Coupled problems often comprise lumped elements, which are described by pure topological quantities, and distributed elements with space dimension of one to three. Modelling these systems yields partial differential-algebraic systems, for short PDAEs, which link differential-algebraic (DAE) models for lumped elements with PDE models for distributed ones. DAE and PDE models are linked by source terms and/or boundary conditions .
The block course analysed PDAE models from a modelling perspective based on applications from different fields, an analytic perspective (well-posedness, sensitivity and property preservation), as well as a numerical perspective (co-simulation and dynamic iteration, multirate and MOR schemes). The course combined theoretical lectures with hands-on experiences gained by lab exercises. The course was jointly organised by ROMSOC, the Bergische Universität Wuppertal and the Stichting SCEE.
You can find information on the upcoming events at https://www.romsoc.eu/205-2/ . Usually, the courses are open to students from outside.