This picture showsBenjamin Unger

Dr.

Benjamin Unger

Independent Junior Research Group Leader for Dynamical Systems

Contact

+49 711 685-60114

Universitätsstraße 32
70569 Stuttgart
Deutschland
Room: 02.324

Office Hours

Consultation by appointment

Subject

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

  1. 2021

    1. Gosea, Ion Victor ; Gugercin, Serkan ; Unger, Benjamin: Parametric model reduction via rational interpolation along parameters. In: ArXiv e-print 2104.01016, ArXiv e-print 2104.01016. (2021)
    2. Breiten, Tobias ; Unger, Benjamin: Passivity preserving model reduction via spectral factorization. In: ArXiv e-print 2103.13194, ArXiv e-print 2103.13194. (2021)
    3. Altmann, R. ; Maier, R. ; Unger, B.: Semi-explicit discretization schemes for weakly coupled elliptic-parabolic problems. In: Mathematics of Computation, Mathematics of Computation. Bd. 90, American Mathematical Society (AMS) (2021), Nr. 329, S. 1089--1118
    4. Trenn, Stephan ; Unger, Benjamin: Unimodular transformations for DAE initial trajectory problems. In: Proceedings in Applied Mathematics and Mechanics 2020, Proceedings in Applied Mathematics and Mechanics 2020. Bd. 20 : Wiley, 2021, S. e202000322
    5. Ahrens, Ines ; Unger, Benjamin: A simple success check for delay differential-algebraic equations. In: Proceedings in Applied Mathematics and Mechanics 2020, Proceedings in Applied Mathematics and Mechanics 2020. Bd. 20 : Wiley, 2021, S. e202000270
    6. Altmann, Robert ; Maier, Roland ; Unger, Benjamin: A semi-explicit integration scheme for weakly-coupled poroelasticity with nonlinear permeability. In: Proceedings in Applied Mathematics and Mechanics 2020, Proceedings in Applied Mathematics and Mechanics 2020. Bd. 20 : Wiley, 2021, S. e202000061
    7. Black, Felix ; Schulze, Philipp ; Unger, Benjamin: Model order reduction with dynamically transformed modes for the wave equation. In: Proceedings in Applied Mathematics and Mechanics 2020, Proceedings in Applied Mathematics and Mechanics 2020. Bd. 20 : Wiley, 2021, S. e202000321

  2. 2020

    1. Altmann, Robert ; Mehrmann, Volker ; Unger, Benjamin: Port-Hamiltonian formulations of poroelastic network models. In: ArXiv e-print 2012.01949, ArXiv e-print 2012.01949. (2020)
    2. Unger, B.: Delay differential-algebraic equations in real-time dynamic substructuring. In: ArXiv e-print 2003.10195, ArXiv e-print 2003.10195. (2020)
    3. Black, Felix ; Schulze, Philipp ; Unger, Benjamin: Projection-based model reduction with dynamically transformed modes. In: ESAIM: Mathematical Modelling and Numerical Analysis, ESAIM: Mathematical Modelling and Numerical Analysis. Bd. 54, EDP Sciences (2020), Nr. 6, S. 2011--2043
    4. Altmann, Robert ; Maier, Roland ; Unger, Benjamin: Semi-explicit discretization schemes for weakly coupled elliptic-parabolic problems. In: Mathematics of Computation, Mathematics of Computation., American Mathematical Society (AMS) (2020), S. 1
    5. Ahrens, Ines ; Unger, Benjamin: The Pantelides algorithm for delay differential-algebraic equations. In: Transactions of Mathematics and Its Application, Transactions of Mathematics and Its Application. Bd. 4 (2020), Nr. 1, S. 1--36

  3. 2019

    1. Fosong, Elliot ; Schulze, Philipp ; Unger, Benjamin: From Time-Domain Data to Low-Dimensional Structured Models. In: ArXiv e-print 1902.05112, ArXiv e-print 1902.05112. (2019)
    2. Trenn, Stephan ; Unger, Benjamin: Delay regularity of differential-algebraic equations. In: 2019 IEEE 58th Conference on Decision and Control (CDC), 2019 IEEE 58th Conference on Decision and Control (CDC), 2019, S. 989–994
    3. Kern, Dominik ; Bartelt, Matthias ; Unger, Benjamin: How to write an article for GAMMAS and a longer title. In: GAMM Archive for Students, GAMM Archive for Students. Bd. 1, Technische Universitat Chemnitz (2019), Nr. 1, S. 1--5
    4. Unger, Benjamin ; Gugercin, Serkan: Kolmogorov n-widths for linear dynamical systems. In: Advances in Computational Mathematics, Advances in Computational Mathematics. Bd. 45 (2019), Nr. 5, S. 2273–2286

  4. 2018

    1. Unger, Benjamin: Discontinuity Propagation in Delay Differential-Algebraic Equations. In: The Electronic Journal of Linear Algebra, The Electronic Journal of Linear Algebra. Bd. 34, University of Wyoming Libraries (2018), S. 582–601
    2. Schulze, Philipp ; Unger, Benjamin: Model reduction for linear systems with low-rank switching. In: SIAM J. Control and Optimization, SIAM J. Control and Optimization. Bd. 56 (2018), Nr. 6, S. 4365–4384
    3. Schulze, Philipp ; Unger, Benjamin ; Beattie, Christopher. ; Gugercin, Serkan: Data-driven Structured Realization. In: Linear Algebra and its Applications, Linear Algebra and its Applications. Bd. 537 (2018), S. 250–286

  5. 2016

    1. Schulze, Philipp ; Unger, Benjamin: Data-driven interpolation of dynamical systems with delay. In: Systems Control Lett., Systems Control Lett. Bd. 97 (2016), S. 125–131

  6. 2015

    1. Mehrmann, Volker ; Unger, Benjamin: Index preserving polynomial representation of nonlinear differential-algebraic systems (Preprint Nr. 2--2015). Str. des 17. Juni 136, D-10623 Berlin, FRG : Institut für Mathematik, TU Berlin, 2015

  7. 2013

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