KLAP: KYP Lemma Based Low-Rank Approximation for -Optimal Passivation
Nicodemus, J.; Voigt, M.; Gugercin, S.; Unger, B.
2026. SIAM Journal on Matrix Analysis and Applications, 47 (1), 1–24. doi:10.1137/25M1724432 

ENERGY MATCHING IN REDUCED PASSIVE AND PORT-HAMILTONIAN SYSTEMS*
Holicki, T.; Nicodemus, J.; Schwerdtner, P.; Unger, B.
2025. SIAM Journal on Control and Optimization, 63 (3), 2154 – 2176. doi:10.1137/23M1600931 

ART-SM: Boosting Fragment-Based Backmapping by Machine Learning
Pfaendner, C.; Korn, V.; Gogoi, P.; Unger, B.; Pluhackova, K.
2025. Journal of Chemical Theory and Computation, 21 (8), 4151–4166. doi:10.1021/acs.jctc.5c00189 

Rigorous a Posteriori Error Bounds for PDE-Defined PINNs
Hillebrecht, B.; Unger, B.
2025. IEEE Transactions on Neural Networks and Learning Systems, 36 (1), 1583–1593. doi:10.1109/TNNLS.2023.3335837 

Leveraging time and parameters for nonlinear model reduction methods
Glas, S.; Unger, B.
2025. IFAC-PapersOnLine, 59 (19), 550–555. doi:10.1016/j.ifacol.2025.11.092  

Higher-order iterative decoupling for poroelasticity
Altmann, R.; Mujahid, A.; Unger, B.
2024. Advances in Computational Mathematics, 50 (6), Art.-Nr.: 111. doi:10.1007/s10444-024-10200-0  

Model reduction on manifolds: A differential geometric framework
Buchfink, P.; Glas, S.; Haasdonk, B.; Unger, B.
2024. Physica D: Nonlinear Phenomena, 468, Art.-Nr.: 134299. doi:10.1016/j.physd.2024.134299  

Semi-explicit integration of second order for weakly coupled poroelasticity
Altmann, R.; Maier, R.; Unger, B.
2024. BIT Numerical Mathematics, 64 (2), 20. doi:10.1007/s10543-024-01021-0  

Port-Hamiltonian Dynamic Mode Decomposition
Morandin, R.; Nicodemus, J.; Unger, B.
2023. SIAM Journal on Scientific Computing, 45 (4), A1690–A1710. doi:10.1137/22M149329X 

Control of port-Hamiltonian differential-algebraic systems and applications
Mehrmann, V.; Unger, B.
2023. Acta Numerica, 32, 395–515. doi:10.1017/S0962492922000083 

Passivity preserving model reduction via spectral factorization
Breiten, T.; Unger, B.
2022. Automatica, 142, Article no: 110368. doi:10.1016/j.automatica.2022.110368 

Certified machine learning: A posteriori error estimation for physics-informed neural networks
Hillebrecht, B.; Unger, B.
2022. 2022 International Joint Conference on Neural Networks (IJCNN), Padua, 18th-23rd July 2022, 1–8, Institute of Electrical and Electronics Engineers (IEEE). doi:10.1109/IJCNN55064.2022.9892569 

Modal Decomposition of Flow Data via Gradient-Based Transport Optimization
Black, F.; Schulze, P.; Unger, B.
2022. Active Flow and Combustion Control 2021 – Papers Contributed to the Conference “Active Flow and Combustion Control 2021”, September 28–29, 2021, Berlin, Germany. Ed.: R. King, 203–224, Springer International Publishing. doi:10.1007/978-3-030-90727-3_13 

Identification of Linear Time-Invariant Systems with Dynamic Mode Decomposition
Heiland, J.; Unger, B.
2022. Mathematics, 10 (3), Art.-Nr.: 418. doi:10.3390/math10030418  

Physics-informed Neural Networks-based Model Predictive Control for Multi-link Manipulators
Nicodemus, J.; Kneifl, J.; Fehr, J.; Unger, B.
2022. IFAC-PapersOnLine, 55 (20), 331–336. doi:10.1016/j.ifacol.2022.09.117  

Parametric model reduction via rational interpolation along parameters
Gosea, I. V.; Gugercin, S.; Unger, B.
2021. 2021 60th IEEE Conference on Decision and Control (CDC), Austin, 14th-17th December 2021, 6895–6900, Institute of Electrical and Electronics Engineers (IEEE). doi:10.1109/CDC45484.2021.9682841 

Semi-explicit discretization schemes for weakly coupled elliptic-parabolic problems
Altmann, R.; Maier, R.; Unger, B.
2021. Mathematics of Computation, 90 (329), 1089–1118. doi:10.1090/mcom/3608 

Port-Hamiltonian formulations of poroelastic network models
Altmann, R.; Mehrmann, V.; Unger, B.
2021. Mathematical and Computer Modelling of Dynamical Systems, 27 (1), 429–452. doi:10.1080/13873954.2021.1975137  

Efficient Wildland Fire Simulation via Nonlinear Model Order Reduction
Black, F.; Schulze, P.; Unger, B.
2021. Fluids, 6 (8), Art.-Nr.: 280. doi:10.3390/fluids6080280  

Projection-based model reduction with dynamically transformed modes
Black, F.; Schulze, P.; Unger, B.
2020. ESAIM: Mathematical Modelling and Numerical Analysis, 54 (6), 2011–2043. doi:10.1051/m2an/2020046 

The Pantelides algorithm for delay differential-algebraic equations
Ahrens, I.; Unger, B.
2020. Transactions of Mathematics and Its Applications, 4 (1). doi:10.1093/imatrm/tnaa003  

Delay regularity of differential-algebraic equations
Trenn, S.; Unger, B.
2019. 2019 IEEE 58th Conference on Decision and Control (CDC), Nizza, 11th-13th December 2019, 989–994, Institute of Electrical and Electronics Engineers (IEEE). doi:10.1109/CDC40024.2019.9030146 

Kolmogorov n-widths for linear dynamical systems
Unger, B.; Gugercin, S.
2019. Advances in Computational Mathematics, 45 (5-6), 2273–2286. doi:10.1007/s10444-019-09701-0  

Discontinuity Propagation in Delay Differential-Algebraic Equations
Unger, B.
2018. The Electronic Journal of Linear Algebra, 34, 582–601. doi:10.13001/1081-3810.3759 

Model Reduction for Linear Systems with Low-Rank Switching
Schulze, P.; Unger, B.
2018. SIAM Journal on Control and Optimization, 56 (6), 4365–4384. doi:10.1137/18M1167887  

Data-driven structured realization
Schulze, P.; Unger, B.; Beattie, C.; Gugercin, S.
2018. Linear Algebra and its Applications, 537, 250–286. doi:10.1016/j.laa.2017.09.030  

Data-driven interpolation of dynamical systems with delay
Schulze, P.; Unger, B.
2016. Systems & Control Letters, 97, 125–131. doi:10.1016/j.sysconle.2016.09.007