Contact
+49 711 685-60114
Email
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
2020
- R. Altmann, V. Mehrmann, and B. Unger, “Port-Hamiltonian formulations of poroelastic network models,” ArXiv e-print 2012.01949, 2020, [Online]. Available: https://arxiv.org/abs/2012.01949.
- B. Unger, “Delay differential-algebraic equations in real-time dynamic substructuring,” ArXiv e-print 2003.10195, 2020, [Online]. Available: https://arxiv.org/abs/2003.10195.
- 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.
- 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.
- 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.
2019
- E. Fosong, P. Schulze, and B. Unger, “From Time-Domain Data to Low-Dimensional Structured Models,” ArXiv e-print 1902.05112, 2019, [Online]. Available: https://arxiv.org/abs/1902.05112.
- 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.
- 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.
- 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.
2018
- 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.
- 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.
- 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.
2016
- 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.
2015
- 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: http://www3.math.tu-berlin.de/cgi-bin/IfM/show_abstract.cgi?Report-02-2015.rdf.html.
2013
- 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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