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

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.

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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.

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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), S. 23649-23665

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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

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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.

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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

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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.

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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.

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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

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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

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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

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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

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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

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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 . - 2022

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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.

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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

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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

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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]

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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)

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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

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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)

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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 - Cham: Springer International Publishing; Vermolen, Fred J. . - 2021, S. 1157-1165 - ( Lecture notes in computational science and engineering; volume 139)

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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

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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

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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

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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), insges. 38 S.

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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)

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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)

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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.

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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.

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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)

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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.

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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

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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

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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.) - (Springer eBook Collection; International Series of Numerical Mathematics; 171)

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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)

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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]

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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

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Lowrank linear fluidstructure interaction discretizations

Weinhandl, Roman; Benner, Peter; Richter, Thomas

In: ZAMM - Berlin: Wiley-VCH, Bd. 100 (2020), 11, insges. 28 S.

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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

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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

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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

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Structure-preserving model order reduction for network systems

Mlinarić, Petar; Benner, Peter

In: Magdeburg, 2020, xxiii, 153 Seiten, Diagramme, 30 cm[Literaturverzeichnis: Seite 141-150]

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

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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

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Data-driven snapshot calibration via monotonic feature matching

Sarna, Neeraj; Giesselmann, Jan; Benner, Peter

In: ResearchGATE - Cambridge, Mass. : ResearchGATE Corp. . - 2020, insges. 31 S.

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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.

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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

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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

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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

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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

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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

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