The research area has been formed as a formal umbrella for the three independent research groups Applied PDEs (Markowich, Mauser, Perugia, Schmeiser, Stefanelli), Computational Optimization (Bot, Huyer, Neumaier, Schichl) and the Numerical Harmonic Analysis Group (NUHAG) (Dörfler, Ehler, Feichtinger, Gröchenig). It carries many large grant projects including two FWF funded PhD programmes (Doktoratskollegs) Dissipation and Dispersion in Nonlinear PDEs and Computational Optimization and numerous international and interdisciplinary cooperations, e.g. in the Mathematics and ... calls of the WWTF. A wide spectrum of research topics in mathematical modeling, analysis and numerics/computer simulation is covered, with applications in cell biology, continuum mechanics, materials science, electromagnetic waves, quantum physics, socioeconomics, wireless communication, and others. The Wolfgang Pauli Institute (led by Mauser) with its invitation program and the imbedded Institut CNRS Pauli contribute to the numerous international contacts. The Vienna PDE Center (jointly with TU Wien) is an initiative to bundle the excellence in the research on Partial Differential Equations (PDEs) in Vienna.
Platform Computational Science Center, jointly with Faculty of Computer Science
In addition to individual supervision and funding of positions by any faculty member with habilitation, PhD students have the possibility to join the "structured PhD programmes" funded by FWF as "Doktorarskolleg" (DK), where about 20 (associate) PhD students profit from an international and interdisciplinary environment: