Publikationen
2025
Begutachteter Zeitschriftenartikel
Digital twins in process engineering - an overview on computational and numerical methods
Perterson, Luisa; Gosea, Ion Victor; Benner, Peter; Sundmacher, Kai
In: Computers & chemical engineering - Amsterdam [u.a.] : Elsevier Science, Bd. 193 (2025), insges. 21 S.
2024
Buchbeitrag
Structure-preserving model reduction for dissipative mechanical systems
Beddig, Rebekka S.; Benner, Peter; Dorschky, Ines; Reis, Timo; Schwerdtner, Paul; Voigt, Matthias; Werner, Steffen W. R.
In: Calm, smooth and smart - Cham : Springer Nature Switzerland ; Eberhard, Peter . - 2024, S. 209-230 [Lecture notes in applied and computational mechanics : volume 102]
Begutachteter Zeitschriftenartikel
Adjacency-based, non-intrusive model reduction for vortex-induced vibrations
Gkimisis, Leonidas; Richter, Thomas; Benner, Peter
In: Computers & fluids - Amsterdam [u.a.] : Elsevier Science, Bd. 275 (2024), Artikel 106248, insges. 14 S.
Data-driven identification of quadratic representations for nonlinear Hamiltonian systems using weakly symplectic liftings
Yildiz, Süleman; Goyal, Pawan; Bendokat, Thomas; Benner, Peter
In: Journal of machine learning for modeling and computing - BEGELL House, Bd. 5 (2024), Heft 2, S. 45-71
Stability-certified learning of control systems with quadratic nonlinearities
Duff, Igor Pontes; Goyal, Pawan; Benner, Peter
In: IFAC-PapersOnLine / Internationale Förderung für Automatische Lenkung - Frankfurt : Elsevier, Bd. 58 (2024), Heft 17, S. 151-156
Data-driven snapshot calibration via monotonic feature matching
Sarna, Neeraj; Giesselmann, Jan; Benner, Peter
In: Finite elements in analysis and design - Amsterdam : North-Holland, Bd. 230 (2024), Artikel 104065, insges. 21 S.
Generalized quadratic embeddings for nonlinear dynamics using deep learning
Goyal, Pawan; Benner, Peter
In: Physica. D, Nonlinear phenomena - Amsterdam [u.a.] : Elsevier, Bd. 463 (2024), Artikel 134158, insges. 9 S.
Iterative schemes for periodic Boundary-value problems with switchings
Benner, Peter; Chuiko, S. M.; Zuyev, A. L.
In: Journal of mathematical sciences - New York, NY : Consultants Bureau, Bd. 278 (2024), S. 932-949
Dominant subspaces of high-fidelity polynomial structured parametric dynamical systems and model reduction
Goyal, Pawan; Duff, Igor Pontes; Benner, Peter
In: Advances in computational mathematics - Bussum : Baltzer Science Publ., Bd. 50 (2024), Artikel 42, insges. 32 S.
Periodic optimal control of a plug flow reactor model with an isoperimetric constraint
Yevgenieva, Yevgeniia; Zuyev, Alexander; Benner, Peter; Seidel-Morgenstern, Andreas
In: Journal of optimization theory and applications - Dordrecht [u.a.] : Springer Science + Business Media, Bd. 202 (2024), S. 582-604
Rank-minimizing and structured model inference
Goyal, Pawan; Peherstorfer, Benjamin; Benner, Peter
In: SIAM journal on scientific computing / Society for Industrial and Applied Mathematics - Philadelphia, Pa. : SIAM, Bd. 46 (2024), Heft 3, S. A1879-A1902
A low-rank method for parameter-dependent fluid-structure interaction discretizations with hyperelasticity
Benner, Peter; Richter, Thomas; Weinhandl, Roman
In: ZAMM - Berlin : Wiley-VCH, Bd. 104 (2024), Heft 10, Artikel e202300562, insges. 22 S.
Structure-preserving interpolation of quadratic-bilinear systems via regular multivariate transfer functions
Benner, Peter; Gugercin, Serkan; Werner, Steffen W. R.
In: Proceedings in applied mathematics and mechanics - Weinheim : Wiley-VCH, Bd. 24 (2024), Heft 3, Artikel e202400048, insges. 9 S.
Structured interpolation for multivariate transfer functions of quadratic-bilinear systems
Benner, Peter; Gugercin, Serkan; Werner, Steffen W. R.
In: Advances in computational mathematics - Bussum : Baltzer Science Publ., Bd. 50 (2024), Artikel 18, insges. 35 S.
2023
Buchbeitrag
Feedback control of time-dependent nonlinear PDEs with applications in fluid dynamics
Benner, Peter; Hinze, Michael
In: Handbook of numerical analysis ; volume 24 - Amsterdam : North-Holland . - 2023, S. 77-130
Begutachteter Zeitschriftenartikel
A periodic boundary value problem with switchings under nonlinear perturbations
Benner, Peter; Chuiko, Sergey; Zuyev, Alexander
In: Boundary value problems - Heidelberg : Springer . - 2023, Artikel 50, insges. 12 S.
Multi-fidelity error estimation accelerates greedy model reduction of complex dynamical systems
Feng, Lihong; Lombardi, Luigi; Antonini, Giulio; Benner, Peter
In: International journal for numerical methods in engineering - Chichester [u.a.] : Wiley . - 2023, insges. 22 S.
An operator inference oriented approach for linear mechanical systems
Filanova, Yevgeniya; Duff, Igor Pontes; Goyal, Pawan; Benner, Peter
In: Mechanical systems and signal processing - Amsterdam [u.a.] : Elsevier, Bd. 200 (2023), Artikel 110620
Projective lag quasi-synchronization of coupled systems with mixed delays and parameter mismatch - a unified theory
Kumar, Vipin; Heiland, Jan; Benner, Peter
In: Neural computing & applications - London : Springer, Bd. 35 (2023), Heft 32, S. 23649-23665
Adjacency-based, non-intrusive reduced-order modeling for fluid-structure interactions
Gkimisis, Leonidas; Richter, Thomas; Benner, Peter
In: Proceedings in applied mathematics and mechanics - Weinheim : Wiley-VCH . - 2023, Artikel e202300047, insges. 8 S.
A unifying framework for tangential interpolation of structured bilinear control systems
Benner, Peter; Gugercin, Serkan; Werner, Steffen W. R.
In: Numerische Mathematik - Berlin : Springer . - 2023, insges. 39 S. [Online first]
Space and chaos-expansion Galerkin proper orthogonal decomposition low-order discretization of partial differential equations for uncertainty quantification
Benner, Peter; Heiland, Jan
In: International journal for numerical methods in engineering - Chichester [u.a.] : Wiley, Bd. 124 (2023), Heft 12, S. 2801-2817
A quadratic decoder approach to nonintrusive reduced-order modeling of nonlinear dynamical systems
Benner, Peter; Goyal, Pawan; Heiland, Jan; Pontes Duff, Igor
In: Proceedings in applied mathematics and mechanics - Weinheim : Wiley-VCH, Bd. 23 (2023), Heft 1, Artikel e202200049, insges. 6 S.
Exponential lag synchronization of Cohen–Grossberg neural networks with discrete and distributed delays on time scales
Kumar, Vipin; Heiland, Jan; Benner, Peter
In: Neural processing letters - Dordrecht [u.a.] : Springer Science + Business Media B.V . - 2023
2022
Buchbeitrag
An adaptive sampling approach for the reduced basis method
Chellappa, Sridhar; Feng, Lihong; Benner, Peter
In: Realization and Model Reduction of Dynamical Systems - Cham: Springer International Publishing; Beattie, Christopher . - 2022, S. 137-155
Begutachteter Zeitschriftenartikel
A non-intrusive method to inferring linear port-Hamiltonian realizations using time-domain data
Cherifi, Karim; Goyal, Pawan; Benner, Peter
In: Electronic transactions on numerical analysis - Kent, Ohio: Kent State Univ., Bd. 56 (2022), S. 102-116
Robust output-feedback stabilization for incompressible flows using low-dimensional H∞-controllers
Benner, Peter; Heiland, Jan; Werner, Steffen W. R.
In: Computational optimization and applications - New York, NY [u.a.]: Springer Science + Business Media B.V., Bd. 82 (2022), 1, S. 225-249
Convolutional neural networks for very low-dimensional LPV approximations of incompressible Navier-Stokes equations
Heiland, Jan; Benner, Peter; Bahmani, Rezvan
In: Frontiers in applied mathematics and statistics - Lausanne: Frontiers Media, Bd. 8 (2022), insges. 15 S.
Reduced basis method for the nonlinear Poisson-Boltzmann equation regularized by the range-separated canonical tensor format
Kweyu, Cleophas; Feng, Lihong; Stein, Matthias; Benner, Peter
In: International journal of nonlinear sciences and numerical simulation - Berlin : de Gruyter, Bd. 24 (2023), Heft 8, S. 2915-2935
Operator inference and physics-informed learning of low-dimensional models for incompressible flows
Benner, Peter; Goyal, Pawan; Heiland, Jan; Duff, Igor Pontes
In: Electronic transactions on numerical analysis - Kent, Ohio: Kent State Univ., Bd. 56 (2022), S. 28-51
A low-rank solution method for Riccati equations with indefinite quadratic terms
Benner, Peter; Heiland, Jan; Werner, Steffen W. R.
In: Numerical algorithms - Bussum : Baltzer, Bd. 92 (2022), Heft 2, S. 1083-1103
Dissertation
Efficient algorithms for solving structured Eigenvalue problems arising in the description of electronic excitations
Penke, Carolin; Benner, Peter
In: Magdeburg: Universitätsbibliothek, 2022, 1 Online-Ressource (xxi, 188 Seiten, 1,47 MB), Illustrationen
A posteriori error estimation and adaptivity for model order reduction of large-scale systems
Chellappa, Sridhar; Feng, Lihong; Benner, Peter
In: Magdeburg: Universitätsbibliothek, Dissertation Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik 2022, 1 Online-Ressource (xxvi, 201 Seiten, 3,96 MB) [Literaturverzeichnis: Seite 179-198]
2021
Buchbeitrag
Analysis of switching strategies for the optimization of periodic chemical reactions with controlled flow-rate
Benner, Peter; Seidel-Morgenstern, Andreas; Zuyev, Alexander
In: Perspectives in Dynamical Systems III - Cham: Springer; Awrejcewicz, Jan . - 2021, S. 59-69 - (Springer proceedings in mathematics & statistics; volume 364)
MORLAB - the model order reduction LABoratory
Benner, Peter; Werner, Steffen W. R.
In: Model Reduction of Complex Dynamical Systems - Cham: Springer International Publishing; Benner, Peter . - 2021, S. 393-415
A low-rank approach for nonlinear parameter-dependent fluid-structure interaction problems
Benner, Peter; Richter, Thomas; Weinhandl, Roman
In: Numerical Mathematics and Advanced Applications ENUMATH 2019 , 2019 , 1st ed. 2021. - Cham : Springer International Publishing, S. 1157-1165 - ( Lecture notes in computational science and engineering; volume 139) [Konferenz: European Conference on Numerical Mathematics and Advanced Applications, ENUMATH, Egmond aan Zee,The Netherlands, September 30 - October 4, 2019]
Power-to-chemicals - a superstructure problem for sustainable syngas production
Garmatter, Dominik Karl; Maggi, Andrea; Wenzel, Marcus; Monem, Shaimaa; Hahn, Mirko; Stoll, Martin; Sager, Sebastian; Benner, Peter; Sundmacher, Kai
In: Mathematical Modeling, Simulation and Optimization for Power Engineering and Management - Cham: Springer International Publishing; Göttlich, Simone . - 2021, S. 145-168 - ( Mathematics in industry; volume 34)
Begutachteter Zeitschriftenartikel
Non-intrusive time-POD for optimal control of a fixed-bed reactor for CO2 methanation
Bremer, Jens; Heiland, Jan; Benner, Peter; Sundmacher, Kai
In: IFAC-PapersOnLine/ Internationale Förderung für Automatische Lenkung - Frankfurt: Elsevier, Bd. 54 (2021), 3, S. 122-127
Topical issue scientific machine learning (2/2)
Benner, Peter; Klawonn, Axel; Stoll, Martin
In: GAMM-Mitteilungen/ Gesellschaft für Angewandte Mathematik und Mechanik - Weinheim: Wiley-VCH, Bd. 44 (2021), 2, insges. 1 S.
On the orbital stability of periodic trajectories of a class of discontinuous systems
Zuyev, Alexander; Benner, Peter; Seidel-Morgenstern, Andreas
In: Proceedings in applied mathematics and mechanics - Weinheim [u.a.]: Wiley-VCH, Bd. 21 (2021), 1, insges. 2 S.
Data-Driven model order reduction for problems with parameter-dependent jump-discontinuities
Sarna, Neeraj; Benner, Peter
In: Computer methods in applied mechanics and engineering - Amsterdam [u.a.]: Elsevier Science, Bd. 387 (2021)
Structure-preserving interpolation for model reduction of parametric bilinear systems
Benner, Peter; Gugercin, Serkan; Werner, Steffen W. R.
In: Automatica - Amsterdam [u.a.]: Elsevier, Pergamon Press, Bd. 132 (2021)
Topical issue scientific machine learning (1/2)
Benner, Peter; Klawonn, Axel; Stoll, Martin
In: GAMM-Mitteilungen/ Gesellschaft für Angewandte Mathematik und Mechanik - Weinheim: Wiley-VCH, Bd. 44 (2021), 1, insges. 2 S.
Structure-preserving interpolation of bilinear control systems
Benner, Peter; Gugercin, Serkan; Werner, Steffen W. R.
In: Advances in computational mathematics - Bussum : Baltzer Science Publ., Bd. 47 (2021), Artikel 43, insges. 38 S.
Mathematische Komplexitätsreduktion - Modellreduktion dynamischer Systeme
Benner, Peter; Filanova, Yevgeniya; Karachalios, Dimitrios; Monem Abdelhafez, Shaimaa; Przybilla, Jennifer; Werner, Steffen W. R.
In: Mitteilungen der Deutschen Mathematiker-Vereinigung/ Deutsche Mathematiker-Vereinigung - Berlin: DMV, Bd. 29 (2021), 4, S. 198-204, 2022
Galerkin trial spaces and Davison-Maki methods for the numerical solution of differential Riccati equations
Behr, Maximilian; Benner, Peter; Heiland, Jan
In: Applied mathematics and computation - New York, NY: Elsevier, Bd. 410 (2021)
On error estimation for reduced-order modeling of linear non-parametric and parametric systems
Feng, Lihong; Benner, Peter
In: Mathematical modelling and numerical analysis - Les Ulis: EDP Sciences, Bd. 55 (2021), 2, S. 561-594
Frequency- and time-limited balanced truncation for large-scale second-order systems
Benner, Peter; Werner, Steffen W. R.
In: Linear algebra and its applications - New York, NY: American Elsevier Publ., Bd. 623 (2021), S. 68-103
Dissertation
Structure-preserving model reduction for mechanical systems
Werner, Steffen W. R.; Benner, Peter
In: Magdeburg: Universitätsbibliothek, 2021, 1 Online-Ressource (xxii, 270 Seiten, 5,19 MB), Illustrationen
Herausgeberschaft
Model Reduction of Complex Dynamical Systems
Benner, Peter; Breiten, Tobias; Faßbender, Heike; Hinze, Michael; Stykel, Tatjana; Zimmermann, Ralf
In: Cham: Birkhäuser, 2021, 1 Online-Ressource (XIII, 415 p. 128 illus., 100 illus. in color.) - (International Series of Numerical Mathematics; 171; Springer eBook Collection), ISBN: 978-3-030-72983-7
2020
Buchbeitrag
Model order reduction of switched linear systems with constrained switching
Gosea, Ion Victor; Duff, Igor Pontes; Benner, Peter; Antoulas, Athanasios C.
In: IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 2225, 2018: MORCOS 2018 - Cham: Springer, 2020; Fehr, Jörg . - 2020, S. 41-53[Symposium: IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22-25, 2018]
MORLAB - a model order reduction framework in MATLAB and octave
Benner, Peter; Werner, Steffen W. R.
In: Mathematical Software - ICMS 2020 / International Congress on Mathematical Software , 2020 - Cham : Springer International Publishing ; Bigatti, Anna M. *1965-*, S. 432-441 - (Lecture Notes in Computer Science; 12097)
Begutachteter Zeitschriftenartikel
Efficient solution of large-scale algebraic Riccati equations associated with index-2 DAEs via the inexact low-rank Newton-ADI method
Benner, Peter; Heinkenschloss, Matthias; Saak, Jens; Weichelt, Heiko K.
In: Applied numerical mathematics: transactions of IMACS - Amsterdam [u.a.]: Elsevier, Bd. 152.2020, S. 338-354
Balanced truncation of linear time-invariant systems over finite-frequency ranges
Benner, Peter; Du, Xin; Yang, Gianghong; Ye, Dan
In: Advances in computational mathematics - Bussum : Baltzer Science Publ. - Volume 46(2020), article number: 82
Lowrank linear fluidstructure interaction discretizations
Weinhandl, Roman; Benner, Peter; Richter, Thomas
In: ZAMM - Berlin: Wiley-VCH, Bd. 100 (2020), 11, insges. 28 S.
Hankel-norm approximation of large-scale descriptor systems
Benner, Peter; Werner, Steffen W. R.
In: Advances in computational mathematics - Bussum : Baltzer Science Publ. - Volume 46 (2020), article number 40, 31 Seiten
Low‐rank linear fluid‐structure interaction discretizations
Weinhandl, Roman; Benner, Peter; Richter, Thomas
In: ZAMM - Berlin : Wiley-VCH, Bd. 100 (2020), Heft 11, Artikel e201900205
Dissertation
Structure-preserving model order reduction for network systems
Mlinarić, Petar; Benner, Peter
In: Magdeburg, Dissertation Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik 2020, xxiii, 153 Seiten [Literaturverzeichnis: Seite 141-150][Literaturverzeichnis: Seite 141-150]
Nicht begutachteter Zeitschriftenartikel
MORLAB - the model order reduction LABoratory
Benner, Peter; Werner, Steffen W. R.
In: De.arxiv.org - [S.l.]: Arxiv.org, 2020, article 2002.12682, 17 Seiten
Data-driven snapshot calibration via monotonic feature matching
Sarna, Neeraj; Giesselmann, Jan; Benner, Peter
In: ResearchGATE - Cambridge, Mass. : ResearchGATE Corp. . - 2020, insges. 31 S.
A low-rank approach for nonlinear parameter-dependent fluid-structure interaction problems
Benner, Peter; Richter, Thomas; Weinhandl, Roman
In: De.arxiv.org - [S.l.]: Arxiv.org, 2020, article 1911.08193, 7 Seiten, 2019
2019
Begutachteter Zeitschriftenartikel
Model reduction for secondorder dynamical systems revisited
Beddig, Rebekka S.; Benner, Peter; Dorschky, Ines; Reis, Timo; Schwerdtner, Paul; Voigt, Matthias; Werner, Steffen W. R.
In: Proceedings in applied mathematics and mechanics - Weinheim [u.a.]: Wiley-VCH, Bd. 19 (2019), 1, insges. 4 S.
Robust controller versus numerical model uncertainties for stabilization of navier-stokes equations
Benner, Peter; Heiland, Jan; Werner, Steffen W. R.
In: IFAC-PapersOnLine/ Internationale Förderung für Automatische Lenkung - Frankfurt: Elsevier, Bd. 52 (2019), 2, S. 25-29
Solution formulas for differential Sylvester and Lyapunov equations
Behr, Maximilian; Benner, Peter; Heiland, Jan
In: Calcolo - Milano : Springer Italia - Volume 56, issue 4 (2019), article number 51, insgesamt 33 Seiten
Artikel in Kongressband
An adaptive sampling approach for the reduced basis method
Chellappa, Sridhar; Feng, Lihong; Benner, Peter
In: ResearchGATE: scientific neetwork ; the leading professional network for scientists - Cambridge, Mass.: ResearchGATE Corp., 2010 . - 2019
2018
Begutachteter Zeitschriftenartikel
Periodic switching strategies for an isoperimetric control problem with application to nonlinear chemical reactions
Benner, Peter; Seidel-Morgenstern, Andreas; Zuyev, Alexander L.
In: De.arxiv.org - [S.l.]: Arxiv.org, 2018, Artikelnr. 1811.07421
Linear lowrank parameterdependent fluidstructure interaction discretization in 2D
Weinhandl, Roman; Benner, Peter; Richter, Thomas
In: Proceedings in applied mathematics and mechanics: PAMM - Weinheim [u.a.]: Wiley-VCH, Bd. 18 (2018), 1
2014
Herausgeberschaft
Large-Scale Networks in Engineering and Life Sciences
Benner, Peter; Findeisen, Rolf; Flockerzi, Dietrich; Reichl, Udo; Sundmacher, Kai
In: Cham: Birkhäuser, 2014, Online-Ressource (XIV, 388 p. 111 illus., 63 illus. in color, online resource) - (Modeling and Simulation in Science, Engineering and Technology; SpringerLink; Bücher; Springer eBook Collection; Mathematics and Statistics), ISBN: 978-3-319-08437-4