Prof. Dr. Gerd Steinebach
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- Index-one DAEs (1)
- Method of lines (1)
- Network simulation (1)
- Order reduction (1)
- ROW methods (1)
- River alarm systems (1)
- Rosenbrock-Wanner Methods (1)
- W methods (1)
- Water supply networks (1)
- Water supply systems (1)
Wissenschaftliches Rechnen
(1999)
Ein mathematisches Modell zur schiffahrtsbezogenen Wasserstandsvorhersage am Beispiel des Rheins
(1996)
The numerical solution of implicit ordinary differential equations arising in vehicle dynamic
(1988)
The simulation of fluid flows is of importance to many fields of application, especially in industry and infrastructure. The modelling equations applied describe a coupled system of non-linear, hyperbolic partial differential equations given by one-dimensional shallow water equations that enable the consistent implementation of free surface flows in open channels as well as pressurised flows in closed pipes. The numerical realisation of these equations is complicated and challenging to date due to their characteristic properties that are able to cause discontinuous solutions.