Baur, U.; Beattie, C.; Benner, P.; Gugercin, S.: Interpolatory Projection Methods for Parameterized Model Reduction. SIAM Journal on Scientific Computing 33 (5), pp. 2489 - 2518 (2011)

Benner, P.; Breiten, T.; Damm, T.: Generalized Tangential Interpolation for Model Reduction of Discrete-Time MIMO Bilinear Systems. International Journal of Control 84 (8), pp. 1398 - 1407 (2011)

Benner, P.; Byers, R.; Losse, P.; Mehrmann, V.; Xu, H.: Robust Formulas for Optimal H_∞ Controllers. Automatica 47 (12), pp. 2639 - 2646 (2011)

Benner, P.; Damm, T.: Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic Systems. SIAM Journal on Control and Optimization 49 (2), pp. 686 - 711 (2011)

Benner, P.; Ezzatti, P.; Kressner, D.; Quintana-Ortí, E. S.; Remón, A.: A Mixed-Precision Algorithm for the Solution of Lyapunov Equations on Hybrid CPU-GPU Platforms. Parallel Computing 37 (8), pp. 439 - 450 (2011)

Benner, P.; Faßbender, H.: On the Numerical Solution of Large-Scale Sparse Discrete-Time Riccati Equations. Advances in Computational Mathematics 35 (2-4), pp. 119 - 147 (2011)

Benner, P.; Saak, J.: Efficient Balancing-Based MOR for Large-Scale Second-Order Systems. Mathematical and Computer Modelling of Dynamical Systems 17 (2), pp. 123 - 143 (2011)

Benner, P.; Faßbender, H.: Modellreduktion: Eine systemtheoretisch orientierte Einführung. Springer Spektrum, Berlin, Heidelberg (2024), XIV, 259 pp.

Benner, P.; Mena, H.; Schneider, R.: Numerical Simulation of Aerial Spray Drift: the Ecuador-Colombian Border as a Case of Study. Shaker Verlag, Aachen (2023), 188 pp.

Beattie, C.; Benner, P.; Embree, M.; Gugercin, S.; Lefteriu, S. (Eds.): Realization and Model Reduction of Dynamical Systems. Springer International Publishing, Cham (2022), XIX, 460 pp.

Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W.; Silveira, L. M. (Eds.): Model Order Reduction: Volume I: System- and Data-Driven Methods and Algorithms. De Gruyter, Berlin, Boston (2021)

Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W.; Silveira, L. M. (Eds.): Model Order Reduction - Volume 2: Snapshot-Based Methods and Algorithms. De Gruyter, Berlin, Boston (2021)

Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W.; Silveira, L. M. (Eds.): Model Order Reduction: Volume 3: Applications. De Gruyter, Berlin, Boston (2021)

Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T.; Zimmermann, R. (Eds.): Model Reduction of Complex Dynamical Systems. Birkhäuser/Springer Nature, Cham (2021), XIII, 415 pp.

Sklyar, G.; Zuyev, A. (Eds.): Stabilization of Distributed Parameter Systems: Design Methods and Applications. Springer International Publishing, Cham, Switzerland (2021)

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

Benner, P.; Cohen, A.; Ohlberger, M.; Willcox, K. (Eds.): Model Reduction and Approximation. SIAM, Philadelphia (2017), 412 pp.

Benner, P. (Ed.): System Reduction for Nanoscale IC Design. Springer International Publishing, Cham (2017), 193 pp.

Benner, P.; Ohlberger, M.; Patera, A. T.; Rozza, G.; Urban, K. (Eds.): Model Reduction of Parametrized Systems. Springer International Publishing, Cham (2017), 504 pp.

Banagaaya, N.; Ali, G.; Schilders, W. H. A.: Index-aware Model Order Reduction Methods. Atlantis Press, Paris (2016), 86 pp.

Benner, P.; Bollhöfer, M.; Kressner, D.; Mehl, C.; Stykel, T. (Eds.): Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory. Springer International Publishing, Cham (2015), 608 pp.

Benner, P.; Findeisen, R.; Flockerzi, D.; Reichl, U.; Sundmacher, K. (Eds.): Large-Scale Networks in Engineering and Life Sciences. Springer International Publishing, Switzerland (2014), 388 pp.

Benner, P.; Mena, H.; Schneider, R.: Modelo para las aspersiones con glifosato: frontera Ecuador-Colombia. Shaker Verlag, Aachen (2014), 208 pp.

Leugering, G.; Benner, P.; Engell, S.; Griewank, A.; Harbrecht, H.; Hinze, M.; Rannacher, R.; Ulbrich, S. (Eds.): Trends in PDE Constrained Optimization. Birkhäuser, Basel (2014), 501 pp.

Bechtold, T.; Schrag, G.; Feng, L. (Eds.): System-level Modeling of MEMS. Wiley-VCH, Weinheim (2013), 530 pp.

Benner, P.; Hinze, M.; ter Maten, E. J. W. (Eds.): Model Reduction for Circuit Simulation. Springer, Dordrecht (2011), 315 pp.

Beddig, R. S.; Benner, P.; Dorschky, I.; Reis, T.; Schwerdtner, P.; Voigt, M.; Werner, S. W.R.: Structure-Preserving Model Reduction for Dissipative Mechanical Systems. In: Calm, Smooth and Smart: Novel Approaches for Influencing Vibrations by Means of Deliberately Introduced Dissipation, pp. 209 - 230 (Ed. Eberhard, P.). Springer, Cham, Switzerland (2024)

Karachalios, D.; Gosea, I. V.; Kour, K.; Antoulas, A. C.: Bilinear realization from input-output data with neural networks. In: Scientific Computing in Electrical Engineering: SCEE 2022, Amsterdam, The Netherlands, July 2022, pp. 184 - 192 (Eds. van Beurden, M.; Budko, N. V.; Ciuprina, G.; Schilders, W.; Bansal, H. et al.). Springer, Cham, Switzerland (2024)

Aumann, Q.; Benner, P.; Saak, J.; Vettermann, J.: Model Order Reduction Strategies for the Computation of Compact Machine Tool Models. In: 3rd International Conference on Thermal Issues in Machine Tools (ICTIMT2023), pp. 132 - 145 (Ed. Ihlenfeldt, S.). Springer International Publishing, Cham (2023)

Benner, P.; Hinze, M.: Feedback Control of Time-dependent Nonlinear PDEs with Applications in Fluid Dynamics. In: Handbook of Numerical Analysis, Vol. 24, pp. 77 - 130 (Eds. Trélat, E.; Zuazua, E.). Elsevier (2023)

Korvink, J.; Poletkin, K.; Deng, Y.; Feng, L.: A digital twin for MEMS and NEMS. In: Springer Handbook of Semiconductor Devices, Part 4, Modeling, pp. 1303 - 1334 (Eds. Rudan, M.; Brunetti, R.; Reggiani, S.). Springer, Cham, Switzerland (2023)

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)

Chellappa, S.; Feng, L.; Benner, P.: An Adaptive Sampling Approach for the Reduced Basis Method. In: Realization and Model Reduction of Dynamical Systems – A Festschrift in Honor of 70th Birthday of Thanos Antoulas, pp. 137 - 155 (Eds. Beattie, C.; Benner, P.; Embree, M.; Gugercin, S.; Lefteriu, S.). Springer International Publishing, Cham (2022)

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)

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)

Pontes Duff, I.; Goyal, P. K.; Benner, P.: Data-Driven Identification of Rayleigh-Damped Second-Order Systems. In: Realization and Model Reduction of Dynamical Systems - A Festschrift in Honor of 70th Birthday of Thanos Antoulas, pp. 255 - 272 (Eds. Beattie, C.; Benner, P.; Embree, M.; Gugercin, S.; Lefteriu, S.). Springer International Publishing, Cham (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, pp. 171 - 198 (Eds. Göttlich, S.; Herty, M.; Milde, A.). Springer, Cham (2021)

Benner, P.; Feng, L.: Model Order Reduction based on Moment-Matching. In: Model Order Reduction: Volume 1: System- and Data-Driven Methods and Algorithms, pp. 57 - 96 (Eds. Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W. et al.). De Gruyter, Berlin, Boston (2021)

Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W.; Silveira, L. M.: Model Order Reduction: Basic Concepts and Notation. In: Model Order Reduction: Volume 1: System- and Data-Driven Methods and Algorithms, pp. 1 - 14 (Eds. Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W. et al.). De Gruyter, Berlin, Boston (2021)

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)

Benner, P.; Köhler, M.; Saak, J.: Matrix Equations, Sparse Solvers: M-M.E.S.S.-2.0.1 -- Philosophy, Features and Application for (Parametric) Model Order Reduction. In: Model Reduction of Complex Dynamical Systems, pp. 369 - 392 (Eds. Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser, Cham (2021)

Benner, P.; Richter, T.; Weinhandl, R.: A Low-rank Approach for Nonlinear Parameter-dependent Fluid-structure Interaction Problems. In: European Numerical Mathematics and Advanced Applications Conference 2019, ENUMATH 2019, September 30 - October 4, 2019, Egmond aan Zee, The Netherlands, pp. 1157 - 1165 (Eds. Vermolen, F. J.; Vuik, C.). Springer, Cham (2021)

Benner, P.; Seidel-Morgenstern, A.; Zuyev, A.: Analysis of Switching Strategies for the Optimization of Periodic Chemical Reactions with Controlled Flow-Rate: DSTA, Łódź, Poland December 2–5, 2019. In: Perspectives in Dynamical Systems III: Control and Stability, pp. 59 - 69 (Ed. Awrejcewicz, J.). Springer International Publishing, Switzerland (2021)

Benner, P.; Werner, S. W. R.: MORLAB – The Model Order Reduction LABoratory. In: Model Reduction of Complex Dynamical Systems, pp. 393 - 415 (Eds. Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser, Cham, Switzerland (2021)

Chellappa, S.; Feng, L.; de la Rubia, V.; Benner, P.: Adaptive Interpolatory MOR by Learning the Error Estimator in the Parameter Domain. In: Model Reduction of Complex Dynamical Systems, pp. 97 - 117 (Eds. 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, pp. 233 - 262 (Eds. Göttlich, S.; Herty, M.; Milde, A.). Springer International Publishing, Cham (2021)

Garmatter, D.; Maggi, A.; Wenzel, M.; Monem Abdelhafez, S.; Hahn, M.; Stoll, M.; Sager, S.; Benner, P.; Sundmacher, K.: Power-to-Chemicals: A Superstructure Problem for Sustainable Syngas Production. In: Mathematical Modeling, Simulation and Optimization for Power Engineering and Management, pp. 145 - 168 (Eds. Göttlich, S.; Herty, M.; Milde, A.) (2021)

Gosea, I. V.; Pontes Duff, I.: Toward Fitting Structured Nonlinear Systems by Means of Dynamic Mode Decomposition. In: Model Reduction of Complex Dynamical Systems, pp. 53 - 74 (Eds. Benner, P.; Breiten , T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser, Cham, Switzerland (2021)

Gräßle, C.; Hinze, M.; Volkwein, S.: Model Order Reduction by Proper Orthogonal Decomposition. In: Model Order Reduction: Volume 2: Snapshot-Based Methods and Algorithms, pp. 47 - 96 (Eds. Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W. et al.). De Gruyter (2021)

Henning, J.; Palitta, D.; Simoncini, V.; Urban, K.: Matrix Oriented Reduction of Space-Time Petrov-Galerkin Variational Problems. In: Numerical Mathematics and Advanced Applications ENUMATH 2019: European Conference, Egmond aan Zee, The Netherlands, September 30 - October 4, pp. 1049 - 1057 (Eds. Vermolen, F. J.; Vuik, C.). Springer, Cham, Switzerland (2021)