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20192024
most citedHyperbolic Discretization via Riemann Invariants

3 citations · 8 across the 5 of their papers we have counts for

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5 papers · 1 filter

math.OC2024

Modelling Gas Networks with Compressors: A port-Hamiltonian Approach

Thomas Bendokat, Peter Benner, Sara Grundel +1

Transient gas network simulations can significantly assist in design and operational aspects of gas networks. Models used in these simulations require a detailed framework integrat…

math.OC2021

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…

math.OC20203 cited

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…

math.OC2020

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…

math.OC2019

Surrogate Models in Bidirectional Optimization of Coupled Microgrids

Manuel Baumann, Sara Grundel, Philipp Sauerteig +1

The energy transition entails a rapid uptake of renewable energy sources. Besides physical changes within the grid infrastructure, energy storage devices and their smart operation…