Dr. Sara Grundel

Journal Article (20)

1.
Journal Article
Grundel, S.; Sarna, N.: Hyper-Reduction for Parametrized Transport Dominated Problems via Adaptive Reduced Meshes. Partial Differential Equations and Applications 5 (1), 3 (2024)
2.
Journal Article
Grundel, S.; Flechtner, H.-H.; Butzmann, J.; Benner, P.; Kaasch, A. J.: Twice Weekly Polymerase Chain Reaction (PCR) Surveillance Swabs are not as Effective as Daily Antigen Testing for Containment of SARS-CoV-2 Outbreaks: A Modeling Study Based on Real World Data from a Child and Adolescent Psychiatry Clinic. Infection Control & Hospital Epidemiology 44 (12), pp. 1987 - 1994 (2023)
3.
Journal Article
Grundel, S.; Herty, M.: Model-Order Reduction for Hyperbolic Relaxation Systems. International Journal of Nonlinear Sciences and Numerical Simulation 24 (7), pp. 2763 - 2780 (2023)
4.
Journal Article
Banagaaya, N.; Ali, G.; Grundel, S.; Benner, P.: Index-Aware Model-Order Reduction for a Special Class of Nonlinear Differential-Algebraic Equations. Journal of Dynamics and Differential Equations 34, pp. 2465 - 2489 (2022)
5.
Journal Article
Grundel, S.; Herty, M.: Hyperbolic Discretization of Simplified Euler Equation via Riemann Invariants. Applied Mathematical Modelling 106, pp. 60 - 72 (2022)
6.
Journal Article
Grundel, S.; Heyder, S.; Hotz, T.; Ritschel, T. K.S.; Sauerteig, P.; Worthmann, K.: How much testing and social distancing is required to control COVID-19? Some insight based on an age-differentiated compartmental model. SIAM Journal on Control and Optimization 60 (2), pp. S145 - S169 (2022)
7.
Journal Article
Grundel, S.; Heyder, S.; Hotz, T.; Ritschel, T. K.S.; Sauerteig, P.; Worthmann, K.: How to coordinate Vaccination and Social Distancing to mitigate SARS-CoV-2 Outbreaks. SIAM journal on applied dynamical systems 20 (2), pp. 1135 - 1157 (2021)
8.
Journal Article
Himpe, C.; Grundel, S.; Benner, P.: Model Order Reduction for Gas and Energy Networks. Journal of Mathematics in Industry 11, 13, 46 pages (2021)
9.
Journal Article
Pontes Duff, I.; Grundel, S.; Benner, P.: New Gramians for Linear Switched Systems: Reachability, Observability, and Model Reduction. IEEE Transactions on Automatic Control 65 (6), pp. 2526 - 2535 (2020)
10.
Journal Article
Qiu, Y.; Grundel, S.; Stoll, M.; Benner, P.: Efficient Numerical Methods for Gas Network Modeling and Simulation. Networks & Heterogeneous Media 15 (4), pp. 653 - 679 (2020)
11.
Journal Article
Ritschel, T. K.S.; Weiß, F.; Baumann, M.; Grundel, S.: Nonlinear Model Reduction of Dynamical Power Grid Models using Quadratization and Balanced Truncation. at - Automatisierungstechnik 68 (12), pp. 1022 - 1034 (2020)
12.
Journal Article
Baumann, M.; Grundel, S.; Sauerteig, P.; Worthmann, K.: Surrogate Models in Bidirectional Optimization of Coupled Microgrids. at-Automatisierungstechnik 67 (12), pp. 1035 - 1046 (2019)
13.
Journal Article
Jongsma, H.-J.; Mlinarić, P.; Grundel, S.; Benner, P.; Trentelman, H. L.: Model Reduction of Linear Multi-Agent Systems by Clustering and with H2- and H-Error Bounds. Mathematics of Control, Signals, and Systems 30 (1), 6, 38 pages (2018)
14.
Journal Article
Chen, J.; Grundel, S.; Yu, T. P. Y.: A Flexible C2 Subdivision Scheme on the Sphere: With Application to Biomembrane Modelling. SIAM Journal on Applied Algebra and Geometry 1 (1), pp. 459 - 483 (2017)
15.
Journal Article
Eaton, J.; Grundel, S.; Gürbüzbalaban, M.; Overton, M. L.: Polynomial Root Radius Optimization with Affine Constraints. Mathematical Programming / A 165 (2), pp. 509 - 528 (2017)
16.
Journal Article
Benner, P.; Grundel, S.: Model Order Reduction for a Family of Linear Systems with Application in Parametric and Uncertain Systems. Applied Mathematics Letters 39, pp. 1 - 6 (2015)
17.
Journal Article
Benner, P.; Grundel, S.; Hornung, N.: Parametric Model Order Reduction with a Small H2-Error Using Radial Basis Functions. Advances in Computational Mathematics 41 (5), pp. 1231 - 1253 (2015)
18.
Journal Article
Biermann, H.; Grundel, S.; Zorin, D.: Smoothness of Subdivision Surfaces with Boundary. Constructive Approximation 42 (1), pp. 1 - 29 (2015)
19.
Journal Article
Hess, M. W.; Grundel, S.; Benner, P.: Estimating the Inf-Sup Constant in Reduced Basis Methods for Time-Harmonic Maxwell's Equations. IEEE Transactions on Microwave Theory and Techniques 63 (11), pp. 3549 - 3557 (2015)
20.
Journal Article
Grundel, S.; Overton, M. L.: Variational Analysis of the Spectral Abscissa at a Matrix with a Nongeneric Multiple Eigenvalue. Set-Valued and Variational Analysis 22 (1), pp. 19 - 43 (2014)

Book (2)

21.
Book
Aschenbruck, T.; Dickert, J.; Esterhuizen, W.; Filipecki, B.; Grundel, S.; Helmberg, C.; Ritschel, T. K. S.; Sauerteig, P.; Streif, S.; Wasserrab, A. et al.; Worthmann, K.: Hierarchical Power Systems: Optimal Operation Using Grid Flexibilities. Springer, Cham (2023), VIII, 55 pp.
22.
Book
Reis, T.; Grundel, S.; Schöps, S. (Eds.): Progress in Differential-Algebraic Equations II. Springer, Cham (2020)

Book Chapter (15)

23.
Book Chapter
Benner, P.; Grundel, S.; Himpe, C.: Efficient Gas Network Simulations. In: German Success Stories in Industrial Mathematics, pp. 17 - 22 (Eds. Bock, H. G.; Küfer, K. H.; Maass, P.; Milde, A.; Schulz, V.). Springer International Publishing, Cham (2022)
24.
Book Chapter
Himpe, C.; Grundel, S.; Benner, P.: Next-Gen Gas Network Simulation. In: Progress in Industrial Mathematics at ECMI 2021, pp. 107 - 113 (Eds. Ehrhardt, M.; Günther, M.). Springer, Cham, Switzerland (2022)
25.
Book Chapter
Mahmoudi, M. H.; Grundel, S.: Estimation of Time-Dependent Parameters in a Simple Compartment Model Using Covid-19 Data. In: Progress in Industrial Mathematics at ECMI 2021, pp. 233 - 238 (Eds. Ehrhardt, M.; Günther, M.). Springer, Cham, Switzerland (2022)
26.
Book Chapter
Aschenbruck, T.; Baumann, M.; Esterhuizen, W.; Filipecki, B.; Grundel, S.; Helmberg, C.; Ritschel, T. K.S.; Sauerteig, P.; Streif, S.; Worthmann, K.: Optimization and Stabilization of Hierarchical Electrical Networks. In: Mathematical Modeling, Simulation and Optimization for Power Engineering and Management, pp. 171 - 198 (Eds. Göttlich, S.; Herty, M.; Milde, A.). Springer, Cham (2021)
27.
Book Chapter
Benner, P.; Grundel, S.; Mlinarić, P.: Clustering-Based Model Order Reduction for Nonlinear Network Systems. In: Model Reduction of Complex Dynamical Systems, pp. 75 - 96 (Eds. Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser, Cham (2021)
28.
Book Chapter
Clees, T.; Baldin, A.; Benner, P.; Grundel, S.; Himpe, C.; Klaassen, B.; Küsters, F.; Marheineke, N.; Nikitina, L.; Nikitin, I. et al.; Pade, J.; Stahl, N.; Strohm, C.; Tischendorf, C.; Wirsen, A.: MathEnergy – Mathematical Key Technologies for Evolving Energy Grids. In: Mathematical Modeling, Simulation and Optimization for Power Engineering and Management, pp. 233 - 262 (Eds. Göttlich, S.; Herty, M.; Milde, A.). Springer International Publishing, Cham (2021)
29.
Book Chapter
Sauerteig, P.; Baumann, M.; Dickert, J.; Grundel, S.; Worthmann, K.: Reducing Transmission Losses via Reactive Power Control. In: Mathematical Modeling, Simulation and Optimization for Power Engineering and Management, pp. 219 - 232 (Eds. Göttlich, S.; Herty, M.; Milde, A.). Springer, Cham (2021)
30.
Book Chapter
Banagaaya, N.; Grundel, S.; Benner, P.: Index-Aware MOR for Gas Transport Networks. In: IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018, pp. 191 - 207 (Eds. Fehr, J.; Haasdonk, B.). Springer International Publishing, Cham (2020)
31.
Book Chapter
Banagaaya, N.; Benner, P.; Grundel, S.: Index-Preserving Model Order Reduction for Differential-Algebraic Systems Arising in Gas Transport Networks. In: Progress in Industrial Mathematics at ECMI 2018, pp. 291 - 297 (Eds. Faragó, I.; Izsák, F.; Simon, P.) (2019)
32.
Book Chapter
Benner, P.; Grundel, S.; Himpe, C.; Huck, C.; Streubel, T.; Tischendorf, C.: Gas Network Benchmark Models. In: Applications of Differential-Algebraic Equations: Examples and Benchmarks, pp. 171 - 197 (Eds. Campbell, S.; Ilchmann, A.; Mehrmann, V.; Reis, T.). Springer International Publishing, Cham (2019)
33.
Book Chapter
Grundel, S.; Sauerteig, P.; Worthmann, K.: Surrogate Models For Coupled Microgrids. In: Progress in Industrial Mathematics at ECMI 2018, pp. 477 - 483 (Eds. Faragó, I.; Izsák, F.; Simon, P.) (2019)
34.
Book Chapter
Benner, P.; Braukmüller, M.; Grundel, S.: A Direct Index 1 DAE Model of Gas Networks. In: Reduced-Order Modeling (ROM) for Simulation and Optimization, pp. 99 - 119 (Eds. Keiper, W.; Milde, A.; Volkwein, S.). Springer International Publishing, Cham (2018)
35.
Book Chapter
Grundel, S.; Hornung, N.; Roggendorf, S.: Numerical Aspects of Model Order Reduction for Gas Transportation Networks. In: Simulation-Driven Modeling and Optimization: ASDOM, Reykjavik, August 2014, pp. 1 - 28 (Eds. Koziel, S.; Leifsson, L.; Yang, X.-S.). Springer International Publishing, Cham (2016)
36.
Book Chapter
Grundel, S.; Jansen, L.; Hornung, N.; Clees, T.; Tischendorf, C.; Benner, P.: Model Order Reduction of Differential Algebraic Equations Arising from the Simulation of Gas Transport Networks. In: Progress in Differential-Algebraic Equations, Deskriptor 2013, pp. 183 - 205 (Eds. Schöps, S.; Bartel, A.; Günther, M.; ter Maten, E. J. W.; Müller, P. C.). Springer, Berlin (2014)
37.
Book Chapter
Grundel, S.; Hornung, N.; Klaassen, B.; Benner, P.; Clees, T.: Computing Surrogates for Gas Network Simulation Using Model Order Reduction. In: Surrogate-Based Modeling and Optimization, pp. 189 - 212 (Eds. Koziel, S.; Leifsson, L.). Springer, New York (2013)

Conference Paper (10)

38.
Conference Paper
Bendokat, T.; Benner, P.; Grundel, S.; Nayak, A. S.: Modelling Gas Networks with Compressors: A port-Hamiltonian Approach. 94th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM). Proceedings in Applied Mathematics and Mechanics 24 (4), e202400164, (2024)
39.
Conference Paper
Nayak, A. S.; Grundel, S.: Convergence Study for Composite Gas Flow in Pipes. 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Aachen, Germany, May 30, 2022 - June 02, 2022. Proceedings in Applied Mathematics and Mechanics 23 (1), e202200231, (2023)
40.
Conference Paper
Grundel, S.; Himpe, C.; Saak, J.: On Empirical System Gramians. 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Vienna, Austria, February 18, 2019 - February 22, 2019. Proceedings in Applied Mathematics and Mechanics 19 (1), e201900006, (2019)
41.
Conference Paper
Mlinarić, P.; Ishizaki, T.; Chakrabortty, A.; Grundel, S.; Benner, P.; Imura, J.-i.: Synchronization and Aggregation of Nonlinear Power Systems with Consideration of Bus Network Structures. In: 2018 European Control Conference (ECC), pp. 2266 - 2271. 18th European Control Conference, ECC 2018 , Limassol, Cyprus, June 12, 2018 - June 15, 2018. Piscataway, NJ, USA, IEEE (2018)
42.
Conference Paper
Benner, P.; Grundel, S.; Mlinarić, P.: Stability Preserving Model Reduction for Linearly Coupled Linear Time-Invariant Systems. Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung(DMV), Braunschweig, Germany, March 07, 2016 - March 11, 2016. Proceedings in Applied Mathematics and Mechanics 16 (1), pp. 817 - 818 (2016)
43.
Conference Paper
Mlinarić, P.; Grundel, S.; Benner, P.: Clustering-Based Model Order Reduction for Multi-Agent Systems with General Linear Time-Invariant Agents. In: Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems, pp. 230 - 235. 22nd International Symposium on Mathematical Theory of Networks and Systems, Minneapolis, USA, July 12, 2016 - July 15, 2016. (2016)
44.
Conference Paper
Eaton, J.; Grundel, S.; Gürbüzbalaban, M.; Overton, M. L.: Polynomial Stabilization with Bounds on the Controller Coefficients. 8th IFAC Symposium on Robust Control Design - ROCOND 2015, Bratislava, Slovakia, July 08, 2015 - July 11, 2015. IFAC-PapersOnLine 48 (14), pp. 382 - 387 (2015)
45.
Conference Paper
Grundel, S.; Jansen, L.: Efficient Simulation of Transient Gas Networks Using IMEX Integration Schemes and MOR Methods. In: 54th IEEE Conference on Decision and Control (CDC), pp. 4579 - 4584. 54th IEEE Conference on Decision and Control , Osaka, Japan, December 15, 2015 - December 18, 2015. (2015)
46.
Conference Paper
Mlinarić, P.; Grundel, S.; Benner, P.: Efficient Model Order Reduction for Multi-Agent Systems Using QR Decomposition-Based Clustering. In: 54th IEEE Conference on Decision and Control (CDC), pp. 4794 - 4799. 54th IEEE Conference on Decision and Control, Osaka, Japan, December 15, 2015 - December 18, 2015. (2015)
47.
Conference Paper
Grundel, S.: Discrete Gradient Flows on surfaces using subdivision. 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt, March 26, 2012 - March 30, 2012. Proceedings in Applied Mathematics and Mechanics 12 (1), pp. 745 - 746 (2012)

Meeting Abstract (1)

48.
Meeting Abstract
Grundel, S.; Jansen, L.: A joint IMEX-MOR approach for Water Networks. In IFAC-PapersOnLine, 48 (1), pp. 260 - 261. 8th Vienna International Conference on Mathematical Modelling, Vienna, Austria, February 18, 2015 - February 20, 2015. (2015)

Talk (8)

49.
Talk
Benner, P.; Grundel, S.; Mlinarić, P.: Clustering-Based Model Order Reduction for Nonlinear Network Systems. 4th Workshop on Model Reduction of Complex Dynamical Systems (MODRED 2019), Graz, Austria (2019)
50.
Talk
Mlinarić, P.; Ishizaki, T.; Chakrabortty, A.; Grundel, S.; Benner, P.; Imura, J.-i.: Synchronization and Aggregation of Nonlinear Power Systems with Consideration of Bus Network Structures. 18th European Control Conference, ECC 2018 , Limassol, Cyprus (2018)
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