This picture showsBenjamin  Unger


Benjamin Unger

Independent Junior Research Group Leader for Dynamical Systems


+49 711 685-60114

Universitätsstraße 32
70569 Stuttgart
Room: 02.324

Office Hours

Consultation by appointment


  • Model order reduction
  • Data-driven surrogate models
  • Delay differential-algebraic equations
  • Port-Hamiltonian systems
  • Digital Twins
  1. 2020

    1. R. Altmann, V. Mehrmann, and B. Unger, “Port-Hamiltonian formulations of poroelastic network models,” ArXiv e-print 2012.01949, 2020, [Online]. Available:
    2. B. Unger, “Delay differential-algebraic equations in real-time dynamic substructuring,” ArXiv e-print 2003.10195, 2020, [Online]. Available:
    3. F. Black, P. Schulze, and B. Unger, “Projection-based model reduction with dynamically transformed modes,” ESAIM: Mathematical Modelling and Numerical Analysis, vol. 54, no. 6, Art. no. 6, 2020, doi: 10.1051/m2an/2020046.
    4. R. Altmann, R. Maier, and B. Unger, “Semi-explicit discretization schemes for weakly coupled elliptic-parabolic problems,” Mathematics of Computation, p. 1, 2020, doi: 10.1090/mcom/3608.
    5. I. Ahrens and B. Unger, “The Pantelides algorithm for delay differential-algebraic equations,” Transactions of Mathematics and Its Application, vol. 4, no. 1, Art. no. 1, 2020, doi: 10.1093/imatrm/tnaa003.
  2. 2019

    1. E. Fosong, P. Schulze, and B. Unger, “From Time-Domain Data to Low-Dimensional Structured Models,” ArXiv e-print 1902.05112, 2019, [Online]. Available:
    2. S. Trenn and B. Unger, “Delay regularity of differential-algebraic equations,” in 2019 IEEE 58th Conference on Decision and Control (CDC), 2019, pp. 989–994, doi: 10.1109/CDC40024.2019.9030146.
    3. D. Kern, M. Bartelt, and B. Unger, “How to write an article for GAMMAS and a longer title,” GAMM Archive for Students, vol. 1, no. 1, Art. no. 1, 2019, doi: 10.14464/gammas.v1i1.417.
    4. B. Unger and S. Gugercin, “Kolmogorov n-widths for linear dynamical systems,” Advances in Computational Mathematics, vol. 45, no. 5, Art. no. 5, 2019, doi: 10.1007/s10444-019-09701-0.
  3. 2018

    1. B. Unger, “Discontinuity Propagation in Delay Differential-Algebraic Equations,” The Electronic Journal of Linear Algebra, vol. 34, pp. 582–601, 2018, doi: 10.13001/1081-3810.3759.
    2. P. Schulze and B. Unger, “Model reduction for linear systems with low-rank switching.,” SIAM J. Control and Optimization, vol. 56, no. 6, Art. no. 6, 2018, doi: 10.1137/18M1167887.
    3. P. Schulze, B. Unger, Christopher. Beattie, and S. Gugercin, “Data-driven Structured Realization,” Linear Algebra and its Applications, vol. 537, pp. 250–286, 2018, doi: 10.1016/j.laa.2017.09.030.
  4. 2016

    1. P. Schulze and B. Unger, “Data-driven interpolation of dynamical systems with delay.,” Systems Control Lett., vol. 97, pp. 125–131, 2016, doi: 10.1016/j.sysconle.2016.09.007.
  5. 2015

    1. V. Mehrmann and B. Unger, “Index preserving polynomial representation of nonlinear differential-algebraic systems,” Institut für Mathematik, TU Berlin, Str. des 17. Juni 136, D-10623 Berlin, FRG, Preprint 2--2015, 2015. [Online]. Available:
  6. 2013

    1. B. Unger, “Impact of Discretization Techniques on Nonlinear Model Reduction and Analysis of the Structure of the POD Basis,” Master’s Thesis, Virginia Polytechnic and State University, Blacksburg, Virginia, USA, 2013.

Invited Talks

  • Kolmogorov n-widths and Hankel normapproximation
    Applied Numerical Analysis Seminar (Virginia Tech), Blacksburg, USA, Feb. 2017.

Minisymposium Talks

  • Nonlinear Galerkin model reduction for transport-dominated problems
    DMV Jahrestagung 2020, Chemnitz, Deutschland, Sept. 2020.
  • From Data to Structured Reduced-orderModels
    SIAM Conference on Computational Science and Engineering, Spokane, USA, Feb. 2019.
  • Well-posedness and numerical solution of nonlinear delay differential-algebraic equations
    International Conference on Scientific Computation and Differential Equations, Bath, UK, Sept. 2017.
  • Model Reduction, Transport Problems, and Structure
    SIAM Conference on Computational Science and Engineering, Atlanta, USA, Feb. 2017.
  • Structured surrogate models of complex dynamical systems based on input/output data
    7th European Congress ofMathematics (7ECM), Berlin, Germany, Juli 2016.
  • Structured input/output realization of dynamical systems
    20th Conference of the International Linear Algebra Society, Leuven, Belgium, July 2016.

Selected other talks and poster

  • Delay regularity of differential-algebraic equations
    58th IEEE Conference on Decision and Control, Nizza, France, Dec. 2019.
  • Model reduction for switched systems with low-rank switching (Poster)
    IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 2018.
  • Delay Differential-Algebraic Equations: Primary Discontinuities and Regularization
    Analysis andNumerical Approximation ofConstrained Systems, Sion, Switzerland, April 2018.
  • Kolmogorov n-widths and optimal Hankel norm approximation
    GAMM Annual Meeting, Munich, Germany, March 2018
  • What is a well-posed delay differential-algebraic equation?
    Workshop on Control of Self-OrganizingNonlinear Systems Lutherstadt Wittenberg, Germany, Aug. 2017.
  • Nonintrusive Realization Theory for Structured Problems
    KoMSO Challenge Workshop Reduced-Order Modeling for Simulation and Optimization, Renningen, Germany, Nov. 2016.
  • Conference: Energy-Based Modeling, Simulation, and Control of Complex Constrained Multiphysical Systems, CIRM, Luminy, France, April 2022 (together with P. Kotyzka, Y. Le Gorrec, B.Maschke, D.Matignon, J. Scherpen)
  • Minisymposium: Mathematical Aspects of the Digital Twin Modeling Paradigm, SIAM CSE 20201, virtual conference,March 2021 (together with P. Bürkner)
  • Minisymposium:NumericalMethods for port-Hamiltonian systems,DMVJahrestagung 2020, Chemnitz, Germany, Sept. 2020 (together with R. Altmann)
  • Conference: Meeting of the European SIAM and GAMM student chapters, Berlin, Germany, Sept. 2018 (together with D. Bankmann)
  • Young AcademicsMeetMentors (YAMM) Lunch, GAMMJahrestagung 2018,Munich, Germany, March 2018 (together with L. Pauli)
  • Minisymposium: Modeling and simulation of transport-dominated phenomena, 7ECM, July 2016, Berlin, Germany (together with C. Beattie, S. Gugercin, P. Schulze)
  • Conference: Energy Based Modeling, Simulation, and Control of Complex Physical Systems, April 2016, Berlin, Germany (together with V.Mehrmann, A.Miedlar, P. Schulze)
  • Summer school: Energy Based Modeling, Simulation, and Control of Complex Physical Systems, April 2016, Berlin, Germany (together with V.Mehrmann, A.Miedlar, P. Schulze)
  • Minisymposium: Simulation and control of delay differential-algebraic equations, SciCADE 2015, Sept. 2015, Potsdam, Germany (together with V.Mehrmann)
  • 16th IFACWorkshop on Time Delay Systems (TDS 2021)
    Associate Editor
  • GAMMArchive for Students
    Editor from 2018-2019, Founding Editor
  • Max-Planck-Institut für Dynamik komplexer technischer Systeme,Magdeburg, Germany
    Invited by Dr. I. Victor Gosea (postponed to 2021)
  • Aug. 2019, Centre International De RencontresMathématiques, Lumini, France
    Research in Pairsmit Dr. R. Altmann und Dr. R.Maier
  • June 2018, University of Groningen, Groningen, Netherlands
    Invited by Prof. Dr. S. Trenn
  • Feb. 2017, Virginia Tech in Blacksburg, Virginia, USA
    Invited by Prof. Dr. S. Gugercin
  • Felix Black, Technische Universität Berlin
    Master’s thesis (Jan. 2019): Model order reduction for transport phenomena, together with V. Mehrmann und P. Schulze
  • Ines Ahrens, Technische Universität Berlin
    Master’s thesis (Sept. 2018): A Structural Approach for Delay Differential-Algebraic Equations, together with V. Mehrmann
  • Elliot Fosong, Pembroke College, University of Cambridge
    Internship within the DAAD RISE program, June-Sept. 2018, together with P. Schulze
  • Oumayma Bentamer, ENSEEIHT Toulouse
    Internship about structured realization theory, Juni - Sept. 2017, together with P. Schulze
  • Yuliya Semibratova, University of Illinois at Urbana-Champaign
    Internship within the DAAD RISE program,May - Aug. 2016
  • Viola Paschke, Technische Universität Berlin
    Master’s thesis (July 2016): Delayed Multibody Systems – Analysis and Numerical Solution, together with V. Mehrmann

Technische Universität Berlin

  • Assistent Lineare Algebra I fürMathematiker (Sommersemester 2020)
  • Assistent Analysis II fürMathematiker (Sommersemester 2019)
  • Assistent Analysis I fürMathematiker (Wintersemester 2018/2019)
  • Assistent Analysis II für Ingenieure (Early Bird, Sommersemester 2018)
  • Assistent Lineare Algebra II fürMathematiker (Wintersemester 2017/18)
  • Assistent Lineare Algebra II fürMathematiker (Sommersemester 2017)
  • Assistent Lineare Algebra I+II fürMathematiker (Wintersemester 2016/17)
  • Tutor Analysis I für Ingenieure (Wintersemester 2015)
  • Organisator Absolventen-Seminar NumerischeMathematik (Februar 2015 - Juli 2018)

Karlsruhe Institute for Technology

  • Tutor NumerischeMathematik II (Sommersemester 2012)
  • Tutor NumerischeMathematik I (Wintersemester 2011/12)
  • Tutor VorkursMathematik (Wintersemester 2011/12)
  • Tutor Einstieg in die Informatik und algorithmischeMathematik mit C++ (Sommersemester 2011)
  • Tutor Einstieg in die Informatik und algorithmische Mathematik mit Java (Wintersemester 2010/11)
  • Tutor Vorkurs Mathematik (Wintersemester 2010/11)
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