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.

Vettermann, J.; Aumann, Q.; Saak, J.; Benner, P.: Rechenzeitsparende Modellierung. In: Thermo-energetische Gestaltung von Werkzeugmaschinen, pp. 199 - 212 (Ed. Brecher, C.). Springer Vieweg, Wiesbaden (2025)

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 (2024)

Gosea, I. V.; Peterson, L.; Goyal, P. K.; Bremer, J.; Sundmacher, K.; Benner, P.: Learning Reduced-Order Quadratic-Linear Models in Process Engineering using Operator Inference. In: ENUMATH 2023 Proceedings (accepted)

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 (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, Amsterdam/Netherlands (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 (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)

Himpe, C.: Comparing (Empirical-Gramian-Based) Model Order Reduction Algorithms. In: Model Reduction of Complex Dynamical Systems, pp. 141 - 164 (Eds. Benner, P.; Breiten , T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser, Cham, Switzerland (2021)

Kalosha, J.; Zuyev, A.; Benner, P.: On the Eigenvalue Distribution for a Beam with Attached Masses. In: Stabilization of Distributed Parameter Systems: Design Methods and Applications, pp. 43 - 56 (Eds. Sklyar, G.; Zuyev, A.). Springer International Publishing, Cham (2021)

Mlinarić, P.; Rave, S.; Saak, J.: Parametric Model Order Reduction using pyMOR. In: Model Reduction of Complex Dynamical Systems, pp. 357 - 367 (Eds. Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser, Cham, Switzerland (2021)

Rave, S.; Saak, J.: A Non-Stationary Thermal-Block Benchmark Model for Parametric Model Order Reduction. In: Model Reduction of Complex Dynamical Systems, pp. 349 - 356 (Eds. Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser, Cham, Switzerland (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, pp. 219 - 232 (Eds. Göttlich, S.; Herty, M.; Milde, A.). Springer, Cham (2021)

Zuyev, A.; Benner, P.: Stabilization of Crystallization Models Governed by Hyperbolic Systems. In: Stabilization of Distributed Parameter Systems: Design Methods and Applications, pp. 123 - 135 (Eds. Sklyar, G.; Zuyev, A.). Springer International Publishing, 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, pp. 191 - 207 (Eds. Fehr, J.; Haasdonk, B.). Springer International Publishing, Cham (2020)

Benner, P.; Trautwein, C.: Optimal Control of the Stochastic Navier-Stokes Equations. In: Infinite Dimensional and Finite Dimensional Stochastic Equations and Applications in Physics, pp. 161 - 211 (Eds. Grecksch, W.; Lisei, H.). World Scientific Publishing, Singapore (2020)

Benner, P.; Werner, S. W. R.: MORLAB – A Model Order Reduction Framework in MATLAB & Octave. In: Mathematical Software - ICMS 2020: 7th International Conference, Braunschweig, Germany, July 13–16, 2020, Proceedings, Vol. 12097, pp. 432 - 441 (Eds. Bigatti, A. M.; Carette, J.; Davenport, J. H.; Joswig, M.; de Wolff, T.). Springer International Publishing, Cham (2020)

Gosea, I. V.; Pontes Duff, I.; Benner, P.; Antoulas, A. C.: Model Order Reduction of Switched Linear Systems with Constrained Switching. In: IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018, pp. 41 - 53 (Eds. Fehr, J.; Haasdonk, B.) (2020)

Sima, V.; Benner, P.: Computational Experience with a Modified Newton Solver for Discrete-Time Algebraic Riccati Equations. In: Informatics in Control, Automation and Robotics: 15th International Conference, ICINCO 2018, Porto, Portugal, July 29-31, 2018, Revised Selected Papers, pp. 142 - 167 (Eds. Gusikhin, O.; Madani, K.). Springer International Publishing, Cham (2020)

Altmann, R.; Heiland, J.: Continuous, Semi-discrete, and Fully Discretized Navier-Stokes Equations. In: Applications of Differential-Algebraic Equations: Examples and Benchmarks, pp. 277 - 312 (Eds. Campbell, .; Ilchmann, A.; Mehrmann, V.; Reis, T.). Springer, Cham, Switzerland (2019)

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)

Banagaaya, N.; Feng, L.; Benner, P.: Sparse (P)MOR for Electro-Thermal Coupled Problems with Many Inputs. In: Nanoelectronic Coupled Problems Solutions, pp. 311 - 328 (Eds. ter Maten, E. J. W.; Brachtendorf, H.-G.; Pulch, R.; Schoenmaker, W.; De Gersem, H.). Springer International Publishing, Cham (2019)

Benner, P.; Faßbender, H.: Model Order Reduction: Techniques and Tools. In: Encyclopedia of Systems and Control (Eds. Baillieul, J.; Samad, T.). Springer, London (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, pp. 171 - 197 (Eds. Campbell, S.; Ilchmann, A.; Mehrmann, V.; Reis, T.). Springer International Publishing, Cham (2019)