Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg


Oberseminar Numerische Mathematik


Herr Christoph Zimmer
Technische Universität Berlin

spricht am
Dienstag, 4. Dezember 2018
16 Uhr s.t.
Raum 1008 (L1)
über das Thema:

»ε-expansion of Constrained Hyperbolic PDEs«

Nowadays, automatic modeling software like Simulink or Dymola/OpenModelica is industrial standard. These tools allow to generate realistic models by interconnecting smaller physical submodels. If the submodels are hyperbolic PDEs, then the generated model is a hyperbolic PDE with constraints (PDAE), where the constraints are given in by interconnections. Classical examples of hyperbolic PDAEs can be found in electrical circuits or gas networks. In this talk we investigate hyperbolic PDAEs with a slow and a fast moving state. In the example of gas networks, we investigate how one can approximate such systems by a family of parabolic PDAEs. We prove the approximation orders of different variables under mild assumptions and show that they are optimal. Furthermore, we show how the orders improve for more regular data.


Hierzu ergeht herzliche Einladung.
Prof. Dr. Daniel Peterseim

[Impressum]      [Datenschutz],     Mo 26-Nov-2018 08:16:57 MEZ