Publications of Sara Grundel

Journal Article (14)

2024
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)
2023
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)
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)
2022
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)
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)
2021
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)
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)
2020
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)
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)
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)
2019
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)
2018
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)
2017
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)
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)

Book Chapter (1)

2022
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)

Conference Paper (3)

2024
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)
2023
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)
2015
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)

Meeting Abstract (1)

2015
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)

Preprint (3)

2020
Preprint
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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