Dr. Sara Grundel

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, S. 2465 - 2489 (2022)

Grundel, S.; Herty, M.: Model-Order Reduction for Hyperbolic Relaxation Systems. International Journal of Nonlinear Sciences and Numerical Simulation (2022)

Grundel, S.; Herty, M.: Hyperbolic Discretization of Simplified Euler Equation via Riemann Invariants. Applied Mathematical Modelling 106, S. 60 - 72 (2022)

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), S. S145 - S169 (2022)

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), S. 1135 - 1157 (2021)

Himpe, C.; Grundel, S.; Benner, P.: Model Order Reduction for Gas and Energy Networks. Journal of Mathematics in Industry 11, 13, 46 pages (2021)

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), S. 2526 - 2535 (2020)

Qiu, Y.; Grundel, S.; Stoll, M.; Benner, P.: Efficient Numerical Methods for Gas Network Modeling and Simulation. Networks & Heterogeneous Media 15 (4), S. 653 - 679 (2020)

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), S. 1022 - 1034 (2020)

Baumann, M.; Grundel, S.; Sauerteig, P.; Worthmann, K.: Surrogate Models in Bidirectional Optimization of Coupled Microgrids. at-Automatisierungstechnik 67 (12), S. 1035 - 1046 (2019)

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)

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), S. 459 - 483 (2017)

Eaton, J.; Grundel, S.; Gürbüzbalaban, M.; Overton, M. L.: Polynomial Root Radius Optimization with Affine Constraints. Mathematical Programming / A 165 (2), S. 509 - 528 (2017)

Benner, P.; Grundel, S.: Model Order Reduction for a Family of Linear Systems with Application in Parametric and Uncertain Systems. Applied Mathematics Letters 39, S. 1 - 6 (2015)

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), S. 1231 - 1253 (2015)

Biermann, H.; Grundel, S.; Zorin, D.: Smoothness of Subdivision Surfaces with Boundary. Constructive Approximation 42 (1), S. 1 - 29 (2015)

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), S. 3549 - 3557 (2015)

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), S. 19 - 43 (2014)

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

Benner, P.; Grundel, S.; Himpe, C.: Efficient Gas Network Simulations. In: German Success Stories in Industrial Mathematics, S. 17 - 22 (Hg. Bock, H. G.; Küfer, K. H.; Maass, P.; Milde, A.; Schulz, V.). Springer International Publishing, Cham (2022)

Himpe, C.; Grundel, S.; Benner, P.: Next-Gen Gas Network Simulation. In: Progress in Industrial Mathematics at ECMI 2021, S. 107 - 113 (Hg. Ehrhardt, M.; Günther, M.). Springer, Cham, Switzerland (2022)

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, S. 233 - 238 (Hg. Ehrhardt, M.; Günther, M.). Springer, Cham, Switzerland (2022)

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, S. 171 - 198 (Hg. Göttlich, S.; Herty, M.; Milde, A.). Springer, Cham (2021)

Benner, P.; Grundel, S.; Mlinarić, P.: Clustering-Based Model Order Reduction for Nonlinear Network Systems. In: Model Reduction of Complex Dynamical Systems, S. 75 - 96 (Hg. Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser, Cham (2021)

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, S. 233 - 262 (Hg. Göttlich, S.; Herty, M.; Milde, A.). Springer International Publishing, Cham (2021)

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, S. 219 - 232 (Hg. Göttlich, S.; Herty, M.; Milde, A.). Springer, Cham (2021)

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, S. 191 - 207 (Hg. Fehr, J.; Haasdonk, B.). Springer International Publishing, Cham (2020)

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, S. 291 - 297 (Hg. Faragó, I.; Izsák, F.; Simon, P.) (2019)

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, S. 171 - 197 (Hg. Campbell, S.; Ilchmann, A.; Mehrmann, V.; Reis, T.). Springer International Publishing, Cham (2019)

Grundel, S.; Sauerteig, P.; Worthmann, K.: Surrogate Models For Coupled Microgrids. In: Progress in Industrial Mathematics at ECMI 2018, S. 477 - 483 (Hg. Faragó, I.; Izsák, F.; Simon, P.) (2019)

Benner, P.; Braukmüller, M.; Grundel, S.: A Direct Index 1 DAE Model of Gas Networks. In: Reduced-Order Modeling (ROM) for Simulation and Optimization, S. 99 - 119 (Hg. Keiper, W.; Milde, A.; Volkwein, S.). Springer International Publishing, Cham (2018)

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, S. 1 - 28 (Hg. Koziel, S.; Leifsson, L.; Yang, X.-S.). Springer International Publishing, Cham (2016)

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, S. 183 - 205 (Hg. Schöps, S.; Bartel, A.; Günther, M.; ter Maten, E. J. W.; Müller, P. C.). Springer, Berlin (2014)

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, S. 189 - 212 (Hg. Koziel, S.; Leifsson, L.). Springer, New York (2013)

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, 18. Februar 2019 - 22. Februar 2019. Proceedings in Applied Mathematics and Mechanics 19 (1), e201900006, (2019)

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), S. 2266 - 2271. 18th European Control Conference, ECC 2018 , Limassol, Cyprus, 12. Juni 2018 - 15. Juni 2018. Piscataway, NJ, USA, IEEE (2018)

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, 07. März 2016 - 11. März 2016. Proceedings in Applied Mathematics and Mechanics 16 (1), S. 817 - 818 (2016)

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, S. 230 - 235. 22nd International Symposium on Mathematical Theory of Networks and Systems, Minneapolis, USA, 12. Juli 2016 - 15. Juli 2016. (2016)

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, 08. Juli 2015 - 11. Juli 2015. IFAC-PapersOnLine 48 (14), S. 382 - 387 (2015)

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), S. 4579 - 4584. 54th IEEE Conference on Decision and Control , Osaka, Japan, 15. Dezember 2015 - 18. Dezember 2015. (2015)

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), S. 4794 - 4799. 54th IEEE Conference on Decision and Control, Osaka, Japan, 15. Dezember 2015 - 18. Dezember 2015. (2015)

Grundel, S.: Discrete Gradient Flows on surfaces using subdivision. 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt, 26. März 2012 - 30. März 2012. Proceedings in Applied Mathematics and Mechanics 12 (1), S. 745 - 746 (2012)

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

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)

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)

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)

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)

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)

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)

Mlinarić, P.; Grundel, S.; Benner, P.: Efficient model order reduction for multi-agent systems using graph partitions. 10. Elgersburg Workshop, Elgersburg, Germany (2016)