Title: Advanced low-rank strategies for multi-physics 
Project leader: Lukas Einkemmer (Funding body: Lawrence Livermore National Laboratory LLNL)

Title: Low-rank optimization of strongly magnetized fusion plasmas
Project leader: Lukas Einkemmer (Funding body: FWF)

Designing fusion reactors (i.e. ITER) relies on a multitude of computer simulation in order to understand everything from equilibrium physics to plasma stability. In this project we are developing mathematical and numerical methods to enable the next generation of fusion codes.

Title: Mathematics and Algorithms for Gyrokinetic and Kinetic Models
Project leader: Lukas Einkemmer (Funding body: EU - Eurofusion - Horizon 2020)

Designing fusion reactors (i.e. ITER) relies on a multitude of computer simulation in order to understand everything from equilibrium physics to plasma stability. In this project we are developing mathematical and numerical methods to enable the next generation of fusion codes.

Title: Exponential Integrators for Problems in magnetohydrodynamics
Project leader: Lukas Einkemmer (Funding body: FWF)

Solving the magnetohydrodynamics equations (a combination of the Navier-Stokes and Maxwell's equations) is challenging but extremely important for many plasma physics applications. In this project we study exponential integrators to efficiently solve such problems. This includes implementing them on modern computer hardware such as GPUs.

Title: Dynamics of Complex Continua - DOCC
Principal investigators: Lukas Einkemmer, Alexander Ostermann et.al. (Funding body: EU - Horizon 2020)

DOCC is an interdisciplinary doctoral program for international early-stage researchers on modelling and simulation in physics, chemistry, atmospheric sciences, material and engineering sciences, mathematics and computer science. It prepares Europe's next top modelers to link simulations and the real world within a multi-disciplinary environment.

Title: Neue Methoden zur Lösung der inhomogenen Vlasov-Gleichung
Principal investigator: Markus Gasteiger (Funding body: TWF)

Title: Neue Methoden zur Lösung der inhomogenen Vlasov-Gleichung
Principal investigator: Markus Gasteiger (Funding body: Friedrich Schiedel Stiftung für Engergietechnik)

Title: High-resolution numerical schemes for hyperbolic conservation laws, and their performance on modern HPC architectures
Principal investigators: Alexander Ostermann, Martina Prugger (Funding body: Universität Wien)

Title: Splitting methods for the Vlasov-Poisson and Vlasov-Maxwell equations
Principal investigators: Lukas Einkemmer, Alexander Ostermann (Funding body: FWF)

Title: Exponential integrators for modern many-core architectures
Principal investigators: Lukas Einkemmer, Peter Kandolf (Funding body: TWF)