3 citations · 8 across the 5 of their papers we have counts for
9 papers
Next-Gen Gas Network Simulation
Christian Himpe, Sara Grundel, Peter Benner
To overcome many-query optimization, control, or uncertainty quantification work loads in reliable gas and energy network operations, model order reduction is the mathematical tech…
Model-Order Reduction For Hyperbolic Relaxation Systems
Sara Grundel, Michael Herty
We propose a novel framework for model-order reduction of hyperbolic differential equations. The approach combines a relaxation formulation of the hyperbolic equations with a discr…
How much testing and social distancing is required to control COVID-19? Some insight based on an age-differentiated compartmental model
Sara Grundel, Stefan Heyder, Thomas Hotz +3
In this paper, we provide insights on how much testing and social distancing is required to control COVID-19. To this end, we develop a compartmental model that accounts for key as…
Model Order Reduction for Gas and Energy Networks
Christian Himpe, Sara Grundel, Peter Benner
To counter the volatile nature of renewable energy sources, gas networks take a vital role. But, to ensure fulfillment of contracts under these circumstances, a vast number of poss…
Nonlinear model reduction of dynamical power grid models using quadratization and balanced truncation
Tobias K. S. Ritschel, Frances Weiß, Manuel Baumann +1
In this work, we present a nonlinear model reduction approach for reducing two commonly used nonlinear dynamical models of power grids: the effective network (EN) model and the syn…
Hyperbolic Discretization via Riemann Invariants
Sara Grundel, Michael Herty
We are interested in numerical schemes for the simulation of large scale gas networks. Typical models are based on the isentropic Euler equations with realistic gas constant. The n…