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Summer Term 2015, Doctoral School Events
2015-03-20 Doctoral School Seminar (Inst. Mathematik, Heinrichstr. 36, Seminarraum 11.32, 13:15—16:15, KFU)
Judith Kloas (TU, advisor W. Woess): The reflected random walk [show abstract]
Stefan Waldenberger (TU, advisor W. Müller): The affine inflation market models [show abstract]
Matthias Gsell (TU, advisor O. Steinbach): Domain decomposition methods for nonlinear transmission conditions [show abstract]
Adrian Scheerer (TU, advisor R. Tichy): Normality in Pisot Numeration Systems [show abstract]
2015-04-24 Doctoral School Seminar (Seminarraum 2 des Instituts für Geometrie, Kopernikusgasse 24, 10:30—13:00, TU)
Raheel Anwar (KFU, advisor F. Kappel): A Neural Network Controller for the Administration of Erythropoietin to Dialysis Patients [show abstract]
Caroline Moosmüller (TU, advisor J. Wallner): Hermite Subdivision on Manifolds [show abstract]
Konrad Schrempf (TU, advisor F. Lehner): Noncommutative Rational Functions and their minimal Representation [show abstract]
Rostislav Stanek (TU, advisor E. Dragoti-Cela): A special case of the data arrangement problem on binary trees [show abstract]
2015-06-12 Doctoral School Seminar (Inst. Mathematik, Heinrichstr. 36, Seminarraum 11.32, 13:15—16:15, KFU)
Anna Zubkova (KFU, advisor V. Kovtunenko): On generalized Poisson–Nernst–Planck equations [show abstract]
Wolfgang Carl (TU, advisor J. Wallner): On semidiscrete minimal surfaces and their associated families [show abstract]
Manuela Tschabold (KFU, advisor K. Baur): Frieze patterns [show abstract]
Dirk Martin (KFU, advisor G. Haase): Towards RBF Interpolation on Heterogeneous Systems [show abstract]
2015-06-26 Doctoral School Seminar (Seminarraum 2 des Instituts für Geometrie, Kopernikusgasse 24, 10:30—13:00, TU)
Hannah Vogel (KFU, advisor K. Baur): Quivers of asymptotic triangulations [show abstract]
Michael Kniely (KFU, advisor K. Fellner): The Entropy Method for a Reaction-Diffusion-Poisson System [show abstract]
Eva Siegmann (G. Haase, advisor KFU): Handling complex shaped particles in DEM simulations [show abstract]
Daniel Ganellari (KFU, advisor G. Haase): Fast many-core solvers for the eikonal equations in cardiovascular simulations

Abstract: Simulation of heart beats which faithfully accounts for biophysical details is still far away from real time performance. We therefore propose a simpler model based on the eikonal equation, which could be very useful for for generating activation and repolarisation sequences by replacing the PDE part of the bi-domain equations with the eikonal equation, while retaining the ODE parts to account for the full mechanistic detail relevant to electrocardiagram computation. The approach can also be extended to mechanical contraction models.
In particular we are working on the following topics: implementing an eikonal solver with a low memory footprint for fast simulation, transferring the solver to handheld devices for clinical use, and parallel algorithms.[hide abstract]