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Numerische MathematikBenjamin Unger - Publications

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Publications

2020
19R. Altmann, V. Mehrmann und B. Unger
Port-Hamiltonian formulations of poroelastic network models
ArXiv e-print 2012.01949, 2020.
[abstract] [bibtex]
@ARTICLE{AltMU20c,
   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.},
}
18B. Unger
Well-Posedness and Realization Theory for Delay Differential-Algebraic Equations
Dissertation, 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.},
}
17F. Black, P. Schulze und B. Unger
Projection-based model reduction with dynamically transformed modes
ESAIM: Math. Model. Numer. Anal., Vol. 54, 2020, pp. 2011–2043.
[preprint] [bibtex]
@ARTICLE{BlaSU20b,
   title = {{Projection-based model reduction with dynamically transformed modes}},
   journal = {ESAIM: Math. Model. Numer. Anal.},
   year = {2020},
   preprint = {https://arxiv.org/abs/1912.11138},
   pubdate = {2020-10-12},
   volume = {54},
   number = {6},
   pages = {2011--2043},
   doi = {10.1051/m2an/2020046},
   author = {{Black}, F. and {Schulze}, P. and {Unger}, B.},
}
16I. Ahrens und B. Unger
The Pantelides algorithm for delay differential-algebraic equations
Trans. 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.},
}
15B. Unger
Delay differential-algebraic equations in real-time dynamic substructuring
ArXiv 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.},
}
14R. Altmann, R. Maier und B. Unger
Semi-explicit discretization schemes for weakly-coupled elliptic-parabolic problems
Math. Comp., 2020.
[abstract] [preprint] [bibtex]
@ARTICLE{AltMU20a,
   title = {{Semi-explicit discretization schemes for weakly-coupled elliptic-parabolic problems}},
   journal = {Math. Comp.},
   note = {In press.},
   year = {2020},
   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.},
}
13R. Altmann, R. Maier und B. Unger
A semi-explicit integration scheme for weakly-coupled poroelasticity with nonlinear permeability
In PAMM, Wiley, 2020.
[abstract] [bibtex]
@INPROCEEDINGS{AltMU20b,
   title = {A semi-explicit integration scheme for weakly-coupled poroelasticity with nonlinear permeability},
   booktitle = {PAMM},
   note = {In press},
   doi = {10.1002/pamm.202000061},
   publisher = {Wiley},
   year = {2020},
   author = {Altmann, R. and Maier, R. and Unger, B.},
}
2019
12S. Trenn und B. Unger
Delay regularity of differential-algebraic equations
In 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.},
}
11F. Black, P. Schulze und B. Unger
Nonlinear Galerkin Model Reduction for Systems with Multiple Transport Velocities
ArXiv 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.},
}
10I. Ahrens und B. Unger
The Pantelides algorithm for delay differential-algebraic equations
ArXiv 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.},
}
9K. Lux, B. Unger und G. Thäter
GAMM Juniors, Gespräch im Modellansatz Podcast, Folge 213
2019.
[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.},
}
8B. Unger und S. Gugercin
Kolmogorov $n$-widths for linear dynamical systems
Adv 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.},
}
7E. Fosong, P. Schulze und B. Unger
From Time-Domain Data to Low-Dimensional Structured Models
ArXiv e-print 1902.05112, 2019.
[abstract] [bibtex]
@ARTICLE{FosSU19,
   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.},
}
6D. Kern, M. Bartelt und B. Unger
How to write an article for GAMMAS and a longer title
GAMM 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.},
}
2018
5P. Schulze und B. Unger
Model reduction for linear systems with low-rank switching
SIAM J. Control Optim., Vol. 56, 2018, pp. 4365-4384.
[abstract] [preprint] [bibtex]
@ARTICLE{SchU18,
   title = {{Model reduction for linear systems with low-rank switching}},
   journal = {SIAM J. Control Optim.},
   archiveprefix = {arXiv},
   eprint = {1801.09445},
   year = {2018},
   month = {January},
   url = {http://adsabs.harvard.edu/abs/2018arXiv180109445S},
   pubdate = {2018-12-11},
   volume = {56},
   number = {6},
   pages = {4365-4384},
   doi = {10.1137/18M1167887},
   preprint = {https://arxiv.org/abs/1801.09445},
   author = {{Schulze}, P. and {Unger}, B.},
}
4B. Unger
Discontinuity propagation in delay differential-algebraic equations
Electron. 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.},
}
3P. Schulze, B. Unger, C. Beattie und S. Gugercin
Data-driven Structured Realization
Linear 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.},
}
2016
2P. Schulze und B. Unger
Data-driven interpolation of dynamical systems with delay
Systems 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.},
}
2015
1V. Mehrmann und B. Unger
Index preserving polynomial representation of nonlinear differential-algebraic systems
Institut 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.},
}

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