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| Winter Term 2019/20 Doctoral School Events | |
| 2019-11-8 | Doctoral School Seminar (Inst. Mathematik, Heinrichstr. 36, 14:00—16:30, KFU) |
| Douglas R. Q. Pacheco (TU, advisor O. Steinbach): Stable space-time finite elements for incompressible flows [show abstract] | |
| Julian Zalla (TU, advisor M. Kang): j-tight paths in random hypergraphs [show abstract] | |
| Peter Schlosser (TU, advisor J. Behrndt): Time evolution of superoscillations [show abstract] | |
| 2020-01-10 | Doctoral School Seminar (Seminarraum 2 des Instituts für Geometrie, Kopernikusgasse 24, 9:30—12:00, TU) |
| Christian Lindorfer (TU, advisor W. Woess): A general bridge theorem for self-avoiding walks [show abstract] | |
| Martin Schwinzerl (KFU, advisor G. Haase): "Towards Controlling the Numerical Error in Highly Parallel Particle Tracking Simulations | |
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Abstract: Designers of particle accelerators rely on tracking software to simulate particle trajectories. Long-time simulations are particularly challenging and sensitive to numerical errors and instabilities, giving rise to specialised symplectic integrators such as SixTrack, developed at CERN. Efforts to modernise the code-base by leveraging high-performance computing techniques have led to the development of SixTrackLib. Here we outline the challenges and design constraints arising from finding an ideally branch-less implementation tailored towards massively parallel systems, while allowing optimisation towards numerical stability and accuracy. The efforts to characterise the numerical errors and their impact on simulation results are demonstrated and targets for further optimisations are presented.[hide abstract] | |
| Raphael Watschinger (TU, advisor G. Of): An introduction to fast space-time boundary element methods for the heat equation [show abstract] |