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# New Position at University of Stuttgart

**This website will no longer be maintained.** To contact me, please visit my new homepage at the University of Stuttgart.

# Publications

22 | I. Ahrens und B. UngerA simple success check for delay differential‐algebraic equationsIn Proceedings in Applied Mathematics and Mechanics 2020, Wiley, pp. e202000270, 2021.[abstract] [bibtex] @INPROCEEDINGS{AhrU21, title = {A simple success check for delay differential‐algebraic equations}, booktitle = {Proceedings in Applied Mathematics and Mechanics 2020}, volume = {20}, number = {1}, pages = {e202000270}, doi = {10.1002/pamm.202000270}, publisher = {Wiley}, year = {2021}, pubdate = {2021-01-25}, author = {Ahrens, I. and Unger, B.}, } |

21 | R. Altmann, R. Maier und B. UngerA semi-explicit integration scheme for weakly-coupled poroelasticity with nonlinear permeabilityIn Proceedings in Applied Mathematics and Mechanics 2020, Wiley, pp. e202000061, 2021.[abstract] [bibtex] @INPROCEEDINGS{AltMU21b, title = {A semi-explicit integration scheme for weakly-coupled poroelasticity with nonlinear permeability}, booktitle = {Proceedings in Applied Mathematics and Mechanics 2020}, volume = {20}, number = {1}, pages = {e202000061}, doi = {10.1002/pamm.202000061}, publisher = {Wiley}, year = {2021}, pubdate = {2021-01-25}, author = {Altmann, R. and Maier, R. and Unger, B.}, } |

20 | F. Black, P. Schulze und B. UngerModel order reduction with dynamically transformed modes for the wave equationIn Proceedings in Applied Mathematics and Mechanics 2020, Wiley, pp. e202000321, 2021.[abstract] [bibtex] @INPROCEEDINGS{BlaSU21a, title = {Model order reduction with dynamically transformed modes for the wave equation}, booktitle = {Proceedings in Applied Mathematics and Mechanics 2020}, volume = {20}, number = {1}, pages = {e202000321}, doi = {10.1002/pamm.202000321}, publisher = {Wiley}, year = {2021}, pubdate = {2021-01-25}, author = {Black, F. and Schulze, P. and Unger, B.}, } |

19 | S. Trenn und B. UngerUnimodular transformations for DAE initial trajectory problemsIn Proceedings in Applied Mathematics and Mechanics 2020, Wiley, pp. e202000322, 2021.[abstract] [bibtex] @INPROCEEDINGS{TreU21, title = {Unimodular transformations for DAE initial trajectory problems}, booktitle = {Proceedings in Applied Mathematics and Mechanics 2020}, volume = {20}, number = {1}, pages = {e202000322}, doi = {10.1002/pamm.202000322}, publisher = {Wiley}, year = {2021}, pubdate = {2021-01-25}, author = {Trenn, S. and Unger, B.}, } |

18 | R. Altmann, R. Maier und B. UngerSemi-explicit discretization schemes for weakly-coupled elliptic-parabolic problemsMath. Comp., 2021.[abstract] [preprint] [bibtex] @ARTICLE{AltMU21a, title = {{Semi-explicit discretization schemes for weakly-coupled elliptic-parabolic problems}}, journal = {Math. Comp.}, note = {In press.}, year = {2021}, month = {Nov}, doi = {10.1090/mcom/3608}, pubdate = {2019-10-27}, preprint = {https://arxiv.org/abs/1909.03497}, author = {{Altmann}, R. and {Maier}, R. and {Unger}, B.}, } |

17 | R. Altmann, V. Mehrmann und B. UngerPort-Hamiltonian formulations of poroelastic network modelsArXiv e-print 2012.01949, 2020.[abstract] [bibtex] @ARTICLE{AltMU20, title = {Port-Hamiltonian formulations of poroelastic network models}, journal = {ArXiv e-print 2012.01949}, year = {2020}, month = {Dec}, url = {https://arxiv.org/abs/2012.01949}, pubdate = {2020-12-04}, author = {{Altmann}, R. and {Mehrmann}, V. and {Unger}, B.}, } |

16 | B. UngerWell-Posedness and Realization Theory for Delay Differential-Algebraic EquationsDissertation, Technische Universität Berlin, 2020. [abstract] [bibtex] @PHDTHESIS{Ung20b, doi = {10.14279/depositonce-10707}, school = {Technische Universit{\"{a}}t Berlin}, title = {{Well-Posedness and Realization Theory for Delay Differential-Algebraic Equations}}, type = {Dissertation}, address = {Berlin}, year = {2020}, pubdate = {2020-11-10}, author = {Unger, B.}, } |

15 | F. Black, P. Schulze und B. UngerProjection-based model reduction with dynamically transformed modesESAIM: Math. Model. Numer. Anal., Vol. 54, 2020, pp. 2011–2043.[abstract] [preprint] [bibtex] @ARTICLE{BlaSU20, title = {Projection-based model reduction with dynamically transformed modes}, year = {2020}, journal = {ESAIM: Math. Model. Numer. Anal.}, volume = {54}, pages = {2011--2043}, doi = {10.1051/m2an/2020046}, pubdate = {2020-10-12}, preprint = {https://arxiv.org/abs/1912.11138}, number = {6}, author = {Black, F. and Schulze, P. and Unger, B.}, } |

14 | I. Ahrens und B. UngerThe Pantelides algorithm for delay differential-algebraic equationsTrans. Math. Appl., Vol. 4, 2020, pp. 1–36.[abstract] [preprint] [bibtex] @ARTICLE{AhrU20, title = {The {P}antelides algorithm for delay differential-algebraic equations}, journal = {Trans. Math. Appl.}, year = {2020}, doi = {10.1093/imatrm/tnaa003}, pages = {1--36}, volume = {4}, number = {1}, pubdate = {2020-09-30}, preprint = {https://arxiv.org/abs/1908.01514}, author = {{Ahrens}, I. and {Unger}, B.}, } |

13 | B. UngerDelay differential-algebraic equations in real-time dynamic substructuringArXiv e-print 2003.10195, 2020.[abstract] [bibtex] @ARTICLE{Ung20a, title = {Delay differential-algebraic equations in real-time dynamic substructuring}, journal = {ArXiv e-print 2003.10195}, year = {2020}, month = {Mar}, url = {https://arxiv.org/abs/2003.10195}, pubdate = {2020-03-24}, author = {{Unger}, B.}, } |

12 | S. Trenn und B. UngerDelay regularity of differential-algebraic equationsIn Proc. 58th IEEE Conf. Decision Control (CDC) 2019, Nice, France, pp. 989–994, 2019.[abstract] [preprint] [bibtex] @INPROCEEDINGS{TreU19, title = {Delay regularity of differential-algebraic equations}, doi = {10.1109/CDC40024.2019.9030146}, year = {2019}, pubdate = {2020-03-12}, booktitle = {Proc. 58th IEEE Conf. Decision Control (CDC) 2019, Nice, France}, pages = {989--994}, preprint = {https://stephantrenn.net/wp-content/uploads/2019/03/Preprint-TU190317.pdf}, author = {Trenn, S. and Unger, B.}, } |

11 | F. Black, P. Schulze und B. UngerNonlinear Galerkin Model Reduction for Systems with Multiple Transport VelocitiesArXiv e-print 1912.11138, 2019.[abstract] [bibtex] @ARTICLE{BlaSU19, title = {Nonlinear Galerkin Model Reduction for Systems with Multiple Transport Velocities}, journal = {ArXiv e-print 1912.11138}, year = {2019}, month = {Dec}, url = {https://arxiv.org/abs/1912.11138}, pubdate = {2019-12-23}, author = {{Black}, F. and {Schulze}, P. and {Unger}, B.}, } |

10 | I. Ahrens und B. UngerThe Pantelides algorithm for delay differential-algebraic equationsArXiv e-print 1908.01514, 2019.[abstract] [bibtex] @ARTICLE{AhrU19, title = {The {P}antelides algorithm for delay differential-algebraic equations}, journal = {ArXiv e-print 1908.01514}, year = {2019}, month = {Aug}, url = {https://arxiv.org/abs/1908.01514}, pubdate = {2019-08-06}, author = {{Ahrens}, I. and {Unger}, B.}, } |

9 | K. Lux, B. Unger und G. ThäterGAMM Juniors, Gespräch im Modellansatz Podcast, Folge 2132019. [bibtex] @MISC{LuxUT19, title = {GAMM Juniors, Gespräch im Modellansatz Podcast, Folge 213}, month = {August}, year = {2019}, date = {August 1, 2019}, series = {Der Modellansatz Podcast}, url = {http://modellansatz.de/gamm-juniors}, pubdate = {2019-08-01}, author = {Lux, K. and Unger, B. and Th\"{a}ter, G.}, } |

8 | B. Unger und S. GugercinKolmogorov $n$-widths for linear dynamical systemsAdv Comput Math, Vol. 45, 2019, pp. 2273–2286.[abstract] [preprint] [bibtex] @ARTICLE{UngG19, title = {Kolmogorov $n$-widths for linear dynamical systems}, journal = {Adv Comput Math}, year = {2019}, volume = {45}, number = {5-6}, pages = {2273--2286}, preprint = {https://arxiv.org/abs/1806.09880}, pubdate = {2019-05-14}, doi = {10.1007/s10444-019-09701-0}, issn = {1572-9044}, author = {{Unger}, B. and {Gugercin}, S.}, } |

7 | E. Fosong, P. Schulze und B. UngerFrom Time-Domain Data to Low-Dimensional Structured ModelsArXiv e-print 1902.05112, 2019.[abstract] [bibtex] @ARTICLE{FosSU19b, title = {From Time-Domain Data to Low-Dimensional Structured Models}, journal = {ArXiv e-print 1902.05112}, archiveprefix = {arXiv}, eprint = {1902.05112}, year = {2019}, month = {Feb}, url = {https://arxiv.org/abs/1902.05112}, pubdate = {2019-02-13}, author = {{Fosong}, E. and {Schulze}, P. and {Unger}, B.}, } |

6 | D. Kern, M. Bartelt und B. UngerHow to write an article for GAMMAS and a longer titleGAMM Archive for Students, Vol. 1, 2019, pp. 1-5.[abstract] [bibtex] @ARTICLE{KerBU19, title = {How to write an article for GAMMAS and a longer title}, volume = {1}, doi = {10.14464/gammas.v1i1.417}, number = {1}, journal = {GAMM Archive for Students}, year = {2019}, month = {Feb.}, pages = {1-5}, pubdate = {2019-02-04}, author = {Kern, D. and Bartelt, M. and Unger, B.}, } |

5 | B. UngerDiscontinuity propagation in delay differential-algebraic equationsElectron. J. Linear Algebr., Vol. 34, 2018, pp. 582–601.[abstract] [preprint] [bibtex] @ARTICLE{Ung18, title = {Discontinuity propagation in delay differential-algebraic equations}, journal = {Electron. J. Linear Algebr.}, year = {2018}, volume = {34}, pages = {582--601}, url = {https://repository.uwyo.edu/ela/vol34/iss1/42/}, doi = {10.13001/1081-3810.3759}, preprint = {https://arxiv.org/abs/1803.04510}, pubdate = {2018-12-10}, author = {{Unger}, B.}, } |

4 | P. Schulze und B. UngerModel reduction for linear systems with low-rank switchingArXiv e-prints 1801.09445, accepted for publication in SICON, Vol. 56, 2018, pp. 4365-4384.[abstract] [preprint] [bibtex] @ARTICLE{SchU18, title = {{Model reduction for linear systems with low-rank switching}}, journal = {ArXiv e-prints 1801.09445, accepted for publication in SICON}, archiveprefix = {arXiv}, eprint = {1801.09445}, year = {2018}, month = {January}, url = {http://adsabs.harvard.edu/abs/2018arXiv180109445S}, pubdate = {2018-01-30}, volume = {56}, number = {6}, pages = {4365-4384}, doi = {10.1137/18M1167887}, preprint = {https://arxiv.org/abs/1801.09445}, author = {{Schulze}, P. and {Unger}, B.}, } |

3 | P. Schulze, B. Unger, C. Beattie und S. GugercinData-driven Structured RealizationLinear Algebra Appl., Vol. 537, 2018, pp. 250–286.[abstract] [preprint] [bibtex] @ARTICLE{SchUBG18, title = {Data-driven Structured Realization}, year = {2018}, journal = {Linear Algebra Appl.}, volume = {537}, pages = {250--286}, doi = {10.1016/j.laa.2017.09.030}, pubdate = {2017-09-29}, issn = {0024-3795}, url = {http://www.sciencedirect.com/science/article/pii/S0024379517305645}, preprint = {http://www3.math.tu-berlin.de/cgi-bin/IfM/show_abstract.cgi?Report-23-2016.rdf.html}, author = {Schulze, P. and Unger, B. and Beattie, C. and Gugercin, S.}, } |

2 | P. Schulze und B. UngerData-driven interpolation of dynamical systems with delaySystems Control Lett., Vol. 97, 2016, pp. 125–131.[abstract] [preprint] [bibtex] @ARTICLE{SchU16, title = {Data-driven interpolation of dynamical systems with delay}, year = {2016}, journal = {Systems Control Lett.}, volume = {97}, pages = {125--131}, doi = {10.1016/j.sysconle.2016.09.007}, pubdate = {2016-10-05}, preprint = {http://www3.math.tu-berlin.de/cgi-bin/IfM/show_abstract.cgi?Report-17-2015.rdf.html}, author = {Schulze, P. and Unger, B.}, } |

1 | V. Mehrmann und B. UngerIndex preserving polynomial representation of nonlinear differential-algebraic systemsInstitut für Mathematik, TU Berlin, Preprint, 2–2015, 2015.[abstract] [bibtex] @TECHREPORT{MehU15ppt, title = {Index preserving polynomial representation of nonlinear differential-algebraic systems}, institution = {Institut f{\"u}r Mathematik, TU Berlin}, year = {2015}, number = {2--2015}, type = {Preprint}, address = {Str. des 17. Juni 136, D-10623 Berlin, FRG}, url = {http://www3.math.tu-berlin.de/cgi-bin/IfM/show_abstract.cgi?Report-02-2015.rdf.html}, author = {Mehrmann, V. and Unger, B.}, } |