19 citations · 46 across the 14 of their papers we have counts for
16 papers
Perspectives on Sustainable Computational Science and Engineering
Julia Kowalski, Ann S. Almgren, Achim Basermann +43
Computational Science and Engineering (CSE) combines expertise at the intersection of engineering, applied mathematics, and computer science to form powerful methods for model-base…
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…
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…
Clustering-Based Model Order Reduction for Nonlinear Network Systems
Peter Benner, Sara Grundel, Petar Mlinarić
Clustering by projection has been proposed as a way to preserve network structure in linear multi-agent systems. Here, we extend this approach to a class of nonlinear network syste…
Hyper-reduction for parametrized transport dominated problems via online-adaptive reduced meshes
Neeraj Sarna, Sara Grundel
We propose an efficient residual minimization technique for the nonlinear model-order reduction of parameterized hyperbolic partial differential equations. Our nonlinear approximat…
Automatic Decoupling and Index-aware Model-Order Reduction for Nonlinear Differential-Algebraic Equations
Nicodemus Banagaaya, Giuseppe Ali, Sara Grundel +1
We extend the index-aware model-order reduction method to systems of nonlinear differential-algebraic equations with a special nonlinear term f(Ex), where E is a singular matrix. S…
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…
Efficient Numerical Methods for Gas Network Modeling and Simulation
Yue Qiu, Sara Grundel, Martin Stoll +1
We study the modeling and simulation of gas pipeline networks, with a focus on fast numerical methods for the simulation of transient dynamics. The obtained mathematical model of t…
New Gramians for Linear Switched Systems: Reachability, Observability, and Model Reduction
Igor Pontes Duff, Sara Grundel, Peter Benner
In this paper, we propose new algebraic Gramians for continuous-time linear switched systems, which satisfy generalized Lyapunov equations. The main contribution of this work is tw…
Synchronization and Aggregation of Nonlinear Power Systems with Consideration of Bus Network Structures
Petar Mlinarić, Takayuki Ishizaki, Aranya Chakrabortty +3
We study nonlinear power systems consisting of generators, generator buses, and non-generator buses. First, looking at a generator and its bus' variables jointly, we introduce a sy…
Model Reduction of Linear Multi-Agent Systems by Clustering and Associated - and -Error Bounds
Hidde-Jan Jongsma, Petar Mlinarić, Sara Grundel +2
In this paper, we study a model reduction technique for leader-follower networked multi-agent systems defined on weighted, undirected graphs with arbitrary linear multivariable age…