Contact
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 and Physics-informed machine learning
2022
- Black, Felix ; Schulze, Philipp ; Unger, Benjamin: Modal Decomposition of Flow Data via Gradient-Based Transport Optimization. In: King, R. ; Peitsch, D. (Hrsg.) ; King, R. ; Peitsch, D. (Hrsg.): Active Flow and Combustion Control 2021, Active Flow and Combustion Control 2021. Cham : Springer International Publishing, 2022, S. 203–224
2021
- Altmann, Robert ; Mehrmann, Volker ; Unger, Benjamin: Port-Hamiltonian formulations of poroelastic network models. In: Mathematical and Computer Modelling of Dynamical Systems, Mathematical and Computer Modelling of Dynamical Systems. Bd. 27 (2021), Nr. 1, S. 429--452
- Nicodemus, Jonas ; Kneifl, Jonas ; Fehr, Jörg ; Unger, Benjamin: Physics-informed Neural Networks-based Model Predictive Control for Multi-link Manipulators. In: ArXiv e-print 2109.10793, ArXiv e-print 2109.10793. (2021)
- Heiland, Jan ; Unger, Benjamin: Identification of linear time-invariant systems with Dynamic Mode Decomposition. In: ArXiv e-print 2109.06765, ArXiv e-print 2109.06765. (2021)
- Black, Felix ; Schulze, Philipp ; Unger, Benjamin: Efficient Wildland Fire Simulation via Nonlinear Model Order Reduction. In: Fluids, Fluids. Bd. 6, MDPI AG (2021), Nr. 8, S. 280
- Black, Felix ; Schulze, Philipp ; Unger, Benjamin: Decomposition of flow data via gradient-based transport optimization. In: ArXiv e-print 2107.03481, ArXiv e-print 2107.03481. (2021)
- Black, Felix ; Schulze, Philipp ; Unger, Benjamin: Efficient Wildland Fire Simulation via Nonlinear Model Order Reduction. In: ArXiv e-print 2106.11381, ArXiv e-print 2106.11381. (2021)
- 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)
- Breiten, Tobias ; Unger, Benjamin: Passivity preserving model reduction via spectral factorization. In: ArXiv e-print 2103.13194, ArXiv e-print 2103.13194. (2021)
- 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
- 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
- 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
- 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
- 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
2020
- 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)
- Unger, B.: Delay differential-algebraic equations in real-time dynamic substructuring. In: ArXiv e-print 2003.10195, ArXiv e-print 2003.10195. (2020)
- 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
- 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
- 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
2019
- 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)
- 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
- 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
- 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
2018
- 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
- 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
- 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
2016
- 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
2015
- 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
2013
- 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
- Artificial intelligence meets molecular dynamics: certified machine learning for resolution transformation
Together with Dr. K. Pluhackova, Aug. 2021 – Dez. 2023 - Decoupling integration schemes of higher order for poroelastic networks
Together with Dr. habil. R. Altmann, Oct. 2021 – Sept. 2024 - Data-Integrated Low-Dimensional Surrogate Models with Guarantees
June 2021 – Oct. 2024
Invited Talks
- Model reduction for transport phenomena via state-dependent projections
MOR Seminar (online), Universität Stuttgart, Apr. 2021. - Co-Design via port-Hamiltonian systems: advantages, challenges, and perspectives
Workshop of the GAMM activity group on dynamics and control theory (online), Feb. 2021. - Structure-Preserving Model-Order Reduction for Port-Hamiltonian Systems
Oberseminar Numerical Optimization (online), Universität Konstanz, Jan. 2021. - Kolmogorov n-widths and Hankel normapproximation
Applied Numerical Analysis Seminar (Virginia Tech), Blacksburg, USA, Feb. 2017.
Minisymposium Talks
- Model reduction for mixed data and first-principle models
Mechanistic Machine Learning and Digital Twins for Computational Science, Engineering & Technology, San Diego, USA, Sept. 2021. - The Digital Twin Philosophy for Additive Manufacturing
SIAM Conference on Computational Science and Engineering, online, Mar. 2021. - 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
- Passivity preserving MOR via spectral factorization
GAMM-Workshop 2021 -- Sion Digital online), Mar. 2021. - Asymptotic stability of neutral delay equations via semi-explicit time-integration
GAMM Jahrestagung (online), Kassel, Germany, Mar. 2021. - 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 session co-chair: GAMM Jahrestagung, Aachen, Aug. 2022, Session S20 Dynamics and Control (together with S.~Grundel)
- 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: Recent advances in model reduction and surrogate modeling,
MATHMOD 2022, Vienna, Austria, February 2022 (together with T. Breiten, J. Fehr, S. Rave, J. Saak) - Minisymposium: Model order reduction and approximation of coupled systems,
DMV Jahrestagung 2021 (online), Sept. 2021 (together with B. Lilljegren-Sailer) - Minisymposium: GAMM Juniors Poster Session,
GAMM Jahrestagung 2021 (online), Mar. 2021 - 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)
- Special issue: Model reduction for dynamical systems
Guest Editor - 16th IFACWorkshop on Time Delay Systems (TDS 2021)
Associate Editor - GAMM Archive 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
Current students:
- Jonas Nicodemus, University of Stuttgart
PhD student (since July 2021), Data-integrated model reduction and system identification for port-Hamiltonian systems - Abdullah Mujahid, Ruhr Universität Bochum
Master thesis (since May 2021), Monolithic and iterative discretizations of linear poroelasticity (together with P. Henning and R. Altmann) - Ahsan Ayaz, University of Stuttgart,
Scientific assistant (since June 2021)
Former students:
- 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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