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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 [show abstract]
Raphael Watschinger (TU, advisor G. Of): An introduction to fast space-time boundary element methods for the heat equation

Abstract: The heat equation is a partial differential equation which can be used to model the distribution of heat in a domain over time. For its solution we consider space time boundary element methods, which are based on a reformulation of the heat equation as an integral equation acting only on the boundary of the domain over time. The discretization of such integral equations leads to large dense systems of equations whose exact solution has quadratic complexity in the degrees of freedom of the system. To reduce this complexity there exist so-called fast methods. We present the basic idea of such a fast method using a simple model problem and give an outline of the difficulties which have to be tackled in general[hide abstract]