Dr. Sara Grundel

Journal Article (12)

1.
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)
2.
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)
3.
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 (accepted)
4.
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)
5.
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 (2018)
6.
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)
7.
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)
8.
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)
9.
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)
10.
Journal Article
Biermann, H.; Grundel, S.; Zorin, D.: Smoothness of Subdivision Surfaces with Boundary. Constructive Approximation 42 (1), pp. 1 - 29 (2015)
11.
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)
12.
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 (1)

13.
Book
Reis, T.; Grundel, S.; Schöps, S. (Eds.): Progress in Differential-Algebraic Equations II. Springer, Cham (2020)

Book Chapter (9)

14.
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, Switzerland (2020)
15.
Book Chapter
Benner, P.; Grundel, S.; Mlinarić, P.: Clustering-Based Model Order Reduction for Nonlinear Network Systems. In: Model Reduction of Complex Dynamical Systems (Eds. Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser / Springer Nature, Chur, Switzerland (accepted)
16.
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)
17.
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, Switzerland (2019)
18.
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)
19.
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, Switzerland (2018)
20.
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)
21.
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)
22.
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 (8)

23.
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)
24.
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)
25.
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)
26.
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)
27.
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)
28.
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)
29.
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)
30.
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)

31.
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 (6)

32.
Talk
Benner, P.; Grundel, S.; Mlinarić, P.: Model reduction of network systems by clustering. 3rd Workshop on Model Reduction of Complex Dynamical Systems (MODRED 2017), Odense, Denmark (2017)
33.
Talk
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 (2016)
34.
Talk
Mlinarić, P.; Benner, P.; Grundel, S.; Jongsma, H.-J.; Trentelman, H. L.: Almost almost-equitableness and clustering-based error bounds. Workshop on Model Reduction Methods and Optimization, Opatija, Croatia (2016)
35.
Talk
Mlinarić, P.; Grundel, S.; Benner, P.: Clustering-Based Model Order Reduction for Multi-Agent Systems with General Linear Time-Invariant Agents. MTNS 2016 - 22nd International Symposium on Mathematical Theory of Networks and Systems, Minneapolis, MN, United States (2016)
36.
Talk
Mlinarić, P.; Grundel, S.; Benner, P.: Efficient model order reduction for multi-agent systems using graph partitions. 10. Elgersburg Workshop, Elgersburg, Germany (2016)
37.
Talk
Mlinarić, P.; Grundel, S.; Benner, P.: Efficient Model Order Reduction for Multi-Agent Systems Using QR Decomposition-Based Clustering. 54th IEEE Conference on Decision and Control, Osaka, Japan (2015)

Poster (1)

38.
Poster
Benner, P.; Grundel, S.; Himpe, C.: Parametric Model Order Reduction for Gas Flow Models. (2018)

Working Paper (4)

39.
Working Paper
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. (2020)
40.
Working Paper
Grundel, S.; Herty, M.: Hyperbolic Discretization via Riemann Invariants. (2020)
41.
Working Paper
Sarna, N.; Grundel, S.: Model Reduction of Time-Dependent Hyperbolic Equations using Collocated Residual Minimisation and Shifted Snapshots. submitted to SISC (2020)
42.
Working Paper
Banagaaya, N.; Ali, G.; Grundel, S.; Benner, P.: Automatic Decoupling and Index-aware Model-Order Reduction for Nonlinear Differential-Algebraic Equations. (2020)
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