Steffen W. R. Werner

Assistant Professor at Virginia Tech, Blacksburg, USA

Publications

Submitted Articles (2)

Journal Articles (20)

Book Chapters (3)

Proceedings (10)

Software (10)

Theses (3)

You can also find my publications on my Google Scholar and ORCID profiles. A detailed list of citable code packages accompaning my publications can be found at the end of my Software page.

Submitted Articles

  1. J. Heiland, Y. Kim, and S. W. R. Werner. Deep polytopic autoencoders for low-dimensional linear parameter-varying approximations and nonlinear feedback design. e-print 2403.18044, arXiv, 2024. Optimization and Control (math.OC). doi:10.48550/arXiv.2403.18044

  2. S. Reiter and S. W. R. Werner. Interpolatory model order reduction of large-scale dynamical systems with root mean squared error measures. e-print 2403.08894, arXiv, 2024. Numerical Analysis (math.NA). doi:10.48550/arXiv.2403.08894

Journal Articles

  1. S. W. R. Werner and B. Peherstorfer. System stabilization with policy optimization on unstable latent manifolds. Comput. Methods Appl. Mech. Eng., 433, Part A:117483, 2025. doi:10.1016/j.cma.2024.117483

  2. J. Saak and S. W. R. Werner. Using \(LDL^{T}\) factorizations in Newton’s method for solving general large-scale algebraic Riccati equations. Electron. Trans. Numer. Anal., 62:95–118, 2024. doi:10.1553/etna_vol62s95
    Open Access Published

  3. Q. Aumann and S. W. R. Werner. Adaptive choice of near-optimal expansion points for interpolation-based structure-preserving model reduction. Adv. Comput. Math., 50(4):79, 2024. doi:10.1007/s10444-024-10166-z
    Open Access Published

  4. S. W. R. Werner and B. Peherstorfer. On the sample complexity of stabilizing linear dynamical systems from data. Found. Comput. Math., 24(3):955–987, 2024. doi:10.1007/s10208-023-09605-y

  5. I. V. Gosea, S. Gugercin, and S. W. R. Werner. Structured barycentric forms for interpolation-based data-driven reduced modeling of second-order systems. Adv. Comput. Math., 50(2):26, 2024. doi:10.1007/s10444-024-10118-7
    Open Access Published

  6. P. Benner, S. Gugercin, and S. W. R. Werner. Structured interpolation for multivariate transfer functions of quadratic-bilinear systems. Adv. Comput. Math., 50(2):18, 2024. doi:10.1007/s10444-024-10109-8
    Open Access Published

  7. P. Benner, S. Gugercin, and S. W. R. Werner. A unifying framework for tangential interpolation of structured bilinear control systems. Numer. Math., 155(3–4):445–483, 2023. doi:10.1007/s00211-023-01380-w

  8. J. Heiland and S. W. R. Werner. Low-complexity linear parameter-varying approximations of incompressible Navier-Stokes equations for truncated state-dependent Riccati feedback. IEEE Control Syst. Lett., 7:3012–3017, 2023. doi:10.1109/LCSYS.2023.3291231

  9. S. W. R. Werner, M. L. Overton, and B. Peherstorfer. Multifidelity robust controller design with gradient sampling. SIAM J. Sci. Comput., 45(2):A933–A957, 2023. doi:10.1137/22M1500137

  10. S. W. R. Werner and B. Peherstorfer. Context-aware controller inference for stabilizing dynamical systems from scarce data. Proc. R. Soc. A: Math. Phys. Eng. Sci., 479(2270):20220506, 2023. doi:10.1098/rspa.2022.0506

  11. P. Benner, J. Heiland, and S. W. R. Werner. A low-rank solution method for Riccati equations with indefinite quadratic terms. Numer. Algorithms, 92(2):1083–1103, 2023. doi:10.1007/s11075-022-01331-w

  12. Q. Aumann and S. W. R. Werner. Structured model order reduction for vibro-acoustic problems using interpolation and balancing methods. J. Sound Vib., 543:117363, 2023. doi:10.1016/j.jsv.2022.117363

  13. P. Benner, J. Heiland, and S. W. R. Werner. Robust output-feedback stabilization for incompressible flows using low-dimensional \(\mathcal{H}_{\infty}\)-controllers. Comput. Optim. Appl., 82(1):225–249, 2022. doi:10.1007/s10589-022-00359-x
    Open Access Published

  14. P. Benner, Y. Filanova, D. Karachalios, S. Monem Abdelhafez, J. Przybilla, and S. W. R. Werner. Mathematische Komplexitätsreduktion: Modellreduktion dynamischer Systeme. Mitteilungen der Deutschen Mathematiker-Vereinigung, 29(4):198–204, 2021. doi:10.1515/dmvm-2021-0075

  15. R. Jendersie and S. W. R. Werner. A comparison of numerical methods for model reduction of dense discrete-time systems. at-Automatisierungstechnik, 69(8):683–694, 2021. doi:10.1515/auto-2021-0035

  16. P. Benner, S. Gugercin, and S. W. R. Werner. Structure-preserving interpolation for model reduction of parametric bilinear systems. Automatica, 132:109799, 2021. doi:10.1016/j.automatica.2021.109799

  17. P. Benner, S. Gugercin, and S. W. R. Werner. Structure-preserving interpolation of bilinear control systems. Adv. Comput. Math., 47(3):43, 2021. doi:10.1007/s10444-021-09863-w
    Open Access Published

  18. P. Benner and S. W. R. Werner. Frequency- and time-limited balanced truncation for large-scale second-order systems. Linear Algebra Appl., 623:68–103, 2021. Special issue in honor of P. Van Dooren, Edited by F. Dopico, D. Kressner, N. Mastronardi, V. Mehrmann, and R. Vandebril. doi:10.1016/j.laa.2020.06.024
    Open Access Published

  19. P. Benner and S. W. R. Werner. Hankel-norm approximation of large-scale descriptor systems. Adv. Comput. Math., 46(3):40, 2020. doi:10.1007/s10444-020-09750-w
    Open Access Published

  20. J. Saak, D. Siebelts, and S. W. R. Werner. A comparison of second-order model order reduction methods for an artificial fishtail. at-Automatisierungstechnik, 67(8):648–667, 2019. doi:10.1515/auto-2019-0027

Book Chapters

  1. R. S. Beddig, P. Benner, I. Dorschky, T. Reis, P. Schwerdtner, M. Voigt, and S. W. R. Werner. Structure-preserving model reduction for dissipative mechanical systems. In P. Eberhard, editor, Calm, Smooth and Smart, volume 102 of Lect. Notes Appl. Comput. Mech., pages 209–230. Springer, Cham, 2024. doi:10.1007/978-3-031-36143-2_11

  2. P. Benner and S. W. R. Werner. MORLAB—The Model Order Reduction LABoratory. In P. Benner, T. Breiten, H. Faßbender, M. Hinze, T. Stykel, and R. Zimmermann, editors, Model Reduction of Complex Dynamical Systems, volume 117 of International Series of Numerical Mathematics, pages 393–415. Birkhäuser, Cham, 2021. doi:10.1007/978-3-030-72983-7_19

  3. P. Benner and S. W. R. Werner. MORLAB – A model order reduction framework in MATLAB and Octave. In A. M. Bigatti, J. Carette, J. H. Davenport, M. Joswig, and T. de Wolff, editors, Mathematical Software – ICMS 2020, volume 12097 of Lecture Notes in Comput. Sci., pages 432–441. Springer International Publishing, Cham, 2020. doi:10.1007/978-3-030-52200-1_43

Proceedings

  1. P. Benner, S. Gugercin, and S. W. R. Werner. Structure-preserving interpolation of quadratic-bilinear systems via regular multivariate transfer functions. Proc. Appl. Math. Mech., 24(3):e202400048, 2024. doi:10.1002/pamm.202400048
    Open Access Published

  2. S. W. R. Werner, I. V. Gosea, and S. Gugercin. Structured vector fitting framework for mechanical systems. IFAC-Pap., 55(20):163–168, 2022. 10th Vienna International Conference on Mathematical Modelling MATHMOD 2022. doi:10.1016/j.ifacol.2022.09.089
    Open Access Published

  3. P. Benner and S. W. R. Werner. Frequenz- und zeitbeschränktes balanciertes Abschneiden für Systeme zweiter Ordnung. In T. Meurer and F. Woittennek, editors, Tagungsband GMA-FA 1.30 ‘Modellbildung, Identifikation und Simulation in der Automatisierungstechnik’ und GMA-FA 1.40 ‘Systemtheorie und Regelungstechnik’, Workshops in Anif, Salzburg, 23.-27.09.2019, pages 460–474, 2019.

  4. P. Benner and S. W. R. Werner. MORLAB – Model Order Reduction LABoratory. In T. Meurer and F. Woittennek, editors, Tagungsband GMA-FA 1.30 ‘Modellbildung, Identifikation und Simulation in der Automatisierungstechnik’ und GMA-FA 1.40 ‘Systemtheorie und Regelungstechnik’, Workshops in Anif, Salzburg, 23.-27.09.2019, pages 337–342, 2019.

  5. R. S. Beddig, P. Benner, I. Dorschky, T. Reis, P. Schwerdtner, M. Voigt, and S. W. R. Werner. Model reduction for second-order dynamical systems revisited. Proc. Appl. Math. Mech., 19(1):e201900224, 2019. doi:10.1002/pamm.201900224
    Open Access Published

  6. P. Benner, J. Heiland, and S. W. R. Werner. Robust controller versus numerical model uncertainties for stabilization of Navier-Stokes equations. IFAC-Pap., 52(2):25–29, 2019. 3rd IFAC/IEEE CSS Workshop on Control of Systems Governed by Partial Differential Equation CPDE 2019. doi:10.1016/j.ifacol.2019.08.005
    Open Access Published

  7. P. Benner and S. W. R. Werner. Balancing related model reduction with the MORLAB toolbox. Proc. Appl. Math. Mech., 18(1):e201800083, 2018. doi:10.1002/pamm.201800083

  8. P. Benner and S. W. R. Werner. Model reduction of descriptor systems with the MORLAB toolbox. IFAC-Pap., 51(2):547–552, 2018. 9th Vienna International Conference on Mathematical Modelling MATHMOD 2018. doi:10.1016/j.ifacol.2018.03.092
    Open Access Published

  9. P. Benner and S. W. R. Werner. MORLAB - Modellreduktion in MATLAB. In T. Meurer and F. Woittennek, editors, Tagungsband GMA-FA 1.30 ‘Modellierung, Identifikation und Simulation in der Automatisierungstechnik’ und GMA-FA 1.40 ‘Theoretische Verfahren der Regelungstechnik’, Workshop in Anif, Salzburg, 18.-22.09.2017, pages 508–517, 2017.

  10. P. Benner and S. W. R. Werner. On the transformation formulas of the Hankel-norm approximation. Proc. Appl. Math. Mech., 17(1):823–824, 2017. doi:10.1002/pamm.201710379

Software

  1. P. Benner, J. Saak, and S. W. R. Werner. MORLAB – Model Order Reduction LABoratory (version 6.0), September 2023. See also: https://www.mpi-magdeburg.mpg.de/projects/morlab. doi:10.5281/zenodo.7072831
    Open Source Software License: BSD 2-Clause

  2. P. Benner and S. W. R. Werner. SOLBT – Limited balanced truncation for large-scale sparse second-order systems (version 3.0), April 2021. doi:10.5281/zenodo.4600763
    Open Source Software License: BSD 2-Clause

  3. P. Benner and S. W. R. Werner. SOMDDPA – Second-Order Modally-Damped Dominant Pole Algorithm (version 2.0), April 2021. doi:10.5281/zenodo.3997649
    Open Source Software License: BSD 2-Clause

  4. P. Benner and S. W. R. Werner. SOMDDPA – Second-Order Modally-Damped Dominant Pole Algorithm (version 1.1), January 2020. doi:10.5281/zenodo.3332706
    Open Source Software License: GPLv3+

  5. P. Benner and S. W. R. Werner. Limited balanced truncation for large-scale sparse second-order systems (version 2.0), January 2020. doi:10.5281/zenodo.3331592
    Open Source Software License: GPLv3+

  6. P. Benner and S. W. R. Werner. MORLAB – Model Order Reduction LABoratory (version 5.0), August 2019. see also: https://www.mpi-magdeburg.mpg.de/projects/morlab. doi:10.5281/zenodo.3332716
    Open Source Software License: AGPLv3+

  7. P. Benner and S. W. R. Werner. Limited balanced truncation for large-scale sparse second-order systems (version 1.0), February 2019. doi:10.5281/zenodo.2553926
    Open Source Software License: GPLv3+

  8. P. Benner and S. W. R. Werner. SOMDDPA – Second-Order Modally Damped Dominant Pole Algorithm (version 1.0), February 2019. doi:10.5281/zenodo.2553902
    Open Source Software License: GPLv3+

  9. P. Benner and S. W. R. Werner. MORLAB – Model Order Reduction LABoratory (version 4.0), December 2018. see also: https://www.mpi-magdeburg.mpg.de/projects/morlab. doi:10.5281/zenodo.1574083
    Open Source Software License: AGPLv3+

  10. P. Benner and S. W. R. Werner. MORLAB-3.0 – model order reduction laboratory, September 2017. see also: https://www.mpi-magdeburg.mpg.de/projects/morlab. doi:10.5281/zenodo.842659
    Open Source Software License: AGPLv3+

Theses

  1. S. W. R. Werner. Structure-Preserving Model Reduction for Mechanical Systems. Dissertation, Otto-von-Guericke-Universität, Magdeburg, Germany, 2021. doi:10.25673/38617
    Open Access Published

  2. S. Werner. Hankel-norm approximation of descriptor systems. Master’s thesis, Otto-von-Guericke-Universität, Magdeburg, Germany, 2016. doi:10.25673/4507
    Open Access Published

  3. S. Werner. Numerische Berechnung der Eigenwerte großer Hamiltonisch-positiver Matrizen. Bachelor’s thesis, Otto-von-Guericke-Universität, Magdeburg, Germany, 2014.