@book{Pieper2019,
  author    = {Pieper, Martin},
  title     = {Quantenmechanik: Einf{\"u}hrung in die mathematische Formulierung},
  publisher = {Springer Spektrum},
  address   = {Wiesbaden},
  isbn      = {978-3-658-28328-5},
  doi       = {10.1007/978-3-658-28329-2},
  pages     = {XI, 33 Seiten},
  year      = {2019},
  language  = {de}
}
@misc{NobisrathZuendorfGeorgeetal.2017,
  author    = {Nobisrath, Ulrich and Z{\"u}ndorf, Albert and George, Tobias and Ruben, Jubeh and Kraft, Bodo},
  title     = {Software Stories Guide},
  pages     = {21},
  year      = {2017},
  abstract  = {Software Stories are a simple graphical notation for requirements analysis and design in agile software projects. Software Stories are based on example scenarios. Example scenarios facilitate the communication between lay people or domain experts and software experts.},
  language  = {en}
}
@book{Pieper2017,
  author    = {Pieper, Martin},
  title     = {Mathematische Optimierung: Eine Einf{\"u}hrung in die kontinuierliche Optimierung mit Beispielen},
  publisher = {Springer Fachmedien},
  address   = {Wiesbaden},
  isbn      = {978-3-658-16975-6},
  doi       = {10.1007/978-3-658-16975-6},
  pages     = {IX, 53 S. 20 Abb.},
  year      = {2017},
  language  = {de}
}
@article{RiekeStollenwerkDahmenetal.2018,
  author    = {Rieke, Christian and Stollenwerk, Dominik and Dahmen, Markus and Pieper, Martin},
  title     = {Modeling and optimization of a biogas plant for a demand-driven energy supply},
  series = {Energy},
  volume    = {145},
  journal   = {Energy},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {0360-5442},
  doi       = {10.1016/j.energy.2017.12.073},
  pages     = {657 -- 664},
  year      = {2018},
  abstract  = {Due to the Renewable Energy Act, in Germany it is planned to increase the amount of renewable energy carriers up to 60\%. One of the main problems is the fluctuating supply of wind and solar energy. Here biogas plants provide a solution, because a demand-driven supply is possible. Before running such a plant, it is necessary to simulate and optimize the process. This paper provides a new model of a biogas plant, which is as accurate as the standard ADM1 model. The advantage compared to ADM1 is that it is based on only four parameters compared to 28. Applying this model, an optimization was installed, which allows a demand-driven supply by biogas plants. Finally the results are confirmed by several experiments and measurements with a real test plant.},
  language  = {en}
}
@article{DotzauerPfeifferLaueretal.2019,
  author    = {Dotzauer, Martin and Pfeiffer, Diana and Lauer, Markus and Pohl, Marcel and Mauky, Eric and B{\"a}r, Katharina and Sonnleitner, Matthias and Z{\"o}rner, Wilfried and Hudde, Jessica and Schwarz, Bj{\"o}rn and Faßauer, Burkhardt and Dahmen, Markus and Rieke, Christian and Herbert, Johannes and Thr{\"a}n, Daniela},
  title     = {How to measure flexibility - Performance indicators for demand driven power generation from biogas plants},
  series = {Renewable Energy},
  journal   = {Renewable Energy},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {0960-1481},
  doi       = {10.1016/j.renene.2018.10.021},
  pages     = {135 -- 146},
  year      = {2019},
  language  = {en}
}
@incollection{BorchertTenbrake2020,
  author    = {Borchert, J{\"o}rg and Tenbrake, Andre},
  title     = {Bewirtschaftung von Flexibilit{\"a}t {\"u}ber Microservices eines Plattformanbieters},
  series = {Realisierung Utility 4.0 Band 1},
  booktitle = {Realisierung Utility 4.0 Band 1},
  publisher = {Springer Vieweg},
  address   = {Wiesbaden},
  isbn      = {978-3-658-25332-5},
  doi       = {10.1007/978-3-658-25332-5_37},
  pages     = {615 -- 626},
  year      = {2020},
  abstract  = {Die Energiewirtschaft befindet sich in einem starken Wandel, der v. a. durch die Energiewende und Digitalisierung Druck auf s{\"a}mtliche Marktteilnehmer aus{\"u}bt. Das klassische Gesch{\"a}ftsmodell des Energieversorgungsunternehmens ver{\"a}ndert sich dabei grundlegend. Der kontinuierlich ansteigende Einsatz dezentraler und volatiler Erzeugungsanlagen macht die Identifikation von Flexibilit{\"a}tspotenzialen notwendig, um weiterhin eine hohe Versorgungssicherheit zu gew{\"a}hrleisten. Dieser Schritt ist nur mit einem hohen Digitalisierungsgrad m{\"o}glich. Eine funktionale Plattform mit Microservices, die zu Gesch{\"a}ftsprozessen verbunden werden k{\"o}nnen, wird als M{\"o}glichkeit zur Aktivierung der Flexibilit{\"a}t und Digitalisierung der Energieversorgungsunternehmen im Folgenden vorgestellt.},
  language  = {de}
}
@book{BroederBauschke2019,
  author    = {Br{\"o}der, Alois and Bauschke, Stefan M.},
  title     = {Strom-Messwandler: Informationen f{\"u}r Anwender},
  publisher = {Shaker},
  address   = {D{\"u}ren},
  isbn      = {978-3-8440-6233-5},
  pages     = {200 Seiten},
  year      = {2019},
  language  = {de}
}
@inproceedings{KernImaniVashianiTimmermanns2021,
  author    = {Kern, Alexander and Imani Vashiani, Anahita and Timmermanns, Tobias},
  title     = {Threat for human beings due to touch voltages and body currents caused by direct lightning strikes in case of non-isolated lightning protection systems using natural components},
  series = {35th International Conference on Lightning Protection (ICLP) and XVI International Symposium on Lightning Protection (SIPDA)},
  booktitle = {35th International Conference on Lightning Protection (ICLP) and XVI International Symposium on Lightning Protection (SIPDA)},
  publisher = {IEEE},
  address   = {New York, NY},
  isbn      = {978-1-6654-2346-5},
  doi       = {10.1109/ICLPandSIPDA54065.2021.9627465},
  pages     = {8 Seiten},
  year      = {2021},
  abstract  = {For typical cases of non-isolated lightning protection systems (LPS) the impulse currents are investigated which may flow through a human body directly touching a structural part of the LPS. Based on a basic LPS model with conventional down-conductors especially the cases of external and internal steel columns and metal fa{\c{c}}ades are considered and compared. Numerical simulations of the line quantities voltages and currents in the time domain are performed with an equivalent circuit of the entire LPS. As a result it can be stated that by increasing the number of conventional down-conductors and external steel columns the threat for a human being can indeed be reduced, but not down to an acceptable limit. In case of internal steel columns used as natural down-conductors the threat can be reduced sufficiently, depending on the low-resistive connection of the steel columns to the lightning equipotential bonding or the earth termination system, resp. If a metal fa{\c{c}}ade is used the threat for human beings touching is usually very low, if the fa{\c{c}}ade is sufficiently interconnected and multiply connected to the lightning equipotential bonding or the earth termination system, resp.},
  language  = {en}
}
@book{Pieper2021,
  author    = {Pieper, Martin},
  title     = {Quantum mechanics: Introduction to mathematical formulation},
  publisher = {Springer},
  address   = {Wiesbaden},
  isbn      = {978-3-658-32644-9},
  doi       = {10.1007/978-3-658-32645-6},
  pages     = {XIII, 33},
  year      = {2021},
  abstract  = {Anyone who has always wanted to understand the hieroglyphs on Sheldon's blackboard in the TV series The Big Bang Theory or who wanted to know exactly what the fate of Schr{\"o}dinger's cat is all about will find a short, descriptive introduction to the world of quantum mechanics in this essential. The text particularly focuses on the mathematical description in the Hilbert space. The content goes beyond popular scientific presentations, but is nevertheless suitable for readers without special prior knowledge thanks to the clear examples.},
  language  = {en}
}
@incollection{JordanKatzPieper2021,
  author    = {Jordan, Frank and Katz, Christiane and Pieper, Martin},
  title     = {Online-Kollaboration in der Mathematik: Ein Design-Based-Research-Projekt},
  series = {Forschungsimpulse f{\"u}r hybrides Lehren und Lernen an Hochschulen},
  booktitle = {Forschungsimpulse f{\"u}r hybrides Lehren und Lernen an Hochschulen},
  publisher = {TH K{\"o}ln},
  address   = {K{\"o}ln},
  url       = {http://nbn-resolving.de/urn:nbn:de:hbz:832-cos4-9465},
  pages     = {245 -- 261},
  year      = {2021},
  abstract  = {Die Studie er{\"o}rtert anhand eines Fallbeispiels aus der Mathematik f{\"u}r Ingenieur*innen, wie didaktische Gestaltungsprinzipien f{\"u}r Soziale Pr{\"a}senz, Kollaboration und das L{\"o}sen von praxisnahen Problemen mit mathematischem Denken in einer Online-Umgebung aussehen k{\"o}nnen. Hierf{\"u}r zieht der Beitrag den forschungsmethodologischen Rahmen Design-Based Research (DBR) hinzu und berichtet {\"u}ber Zwischenergebnisse. DBR wird an dieser Stelle als eine systematische Herangehensweise an kurzfristige Lehrver{\"a}nderungen und als Chance auf dem Weg zu einer neuen Hochschullehre nach der COVID-19-Pandemie dargestellt, die theoretische und empirische Erkenntnisse mit Praxisverkn{\"u}pfung und -relevanz vereint.},
  language  = {de}
}
@article{SchuellerRuhlDinstuehlerSengeretal.2022,
  author    = {Sch{\"u}ller-Ruhl, Aaron and Dinst{\"u}hler, Leonard and Senger, Thorsten and Bergfeld, Stefan and Ingenhag, Christian and Fleischhaker, Robert},
  title     = {Direct fabrication of arbitrary phase masks in optical glass via ultra-short pulsed laser writing of refractive index modifications},
  series = {Applied Physics B},
  volume    = {128},
  journal   = {Applied Physics B},
  number    = {Article number: 208},
  editor    = {Mackenzie, Jacob},
  publisher = {Springer},
  address   = {Berlin},
  issn      = {1432-0649 (Online)},
  doi       = {10.1007/s00340-022-07928-2},
  pages     = {1 -- 11},
  year      = {2022},
  abstract  = {We study the possibility to fabricate an arbitrary phase mask in a one-step laser-writing process inside the volume of an optical glass substrate. We derive the phase mask from a Gerchberg-Saxton-type algorithm as an array and create each individual phase shift using a refractive index modification of variable axial length. We realize the variable axial length by superimposing refractive index modifications induced by an ultra-short pulsed laser at different focusing depth. Each single modification is created by applying 1000 pulses with 15 μJ pulse energy at 100 kHz to a fixed spot of 25 μm diameter and the focus is then shifted axially in steps of 10 μm. With several proof-of-principle examples, we show the feasibility of our method. In particular, we identify the induced refractive index change to about a value of Δn=1.5⋅10-3. We also determine our current limitations by calculating the overlap in the form of a scalar product and we discuss possible future improvements.},
  language  = {en}
}
@article{SrivastavaChaharSharmaetal.2017,
  author    = {Srivastava, A. and Chahar, V. and Sharma, V. and Sun, Y. and Bol, R. and Knolle, F. and Schnug, E. and Hoyler, Friedrich and Naskar, N. and Lahiri, S. and Patnaik, R.},
  title     = {Study of uranium toxicity using low-background gamma-ray spectrometry},
  series = {Journal of Radioanalytical and Nuclear Chemistry},
  journal   = {Journal of Radioanalytical and Nuclear Chemistry},
  number    = {Online first},
  publisher = {Springer},
  address   = {Berlin},
  issn      = {1588-2780},
  doi       = {10.1007/s10967-017-5466-9},
  pages     = {1 -- 7},
  year      = {2017},
  language  = {en}
}
@inproceedings{Pieper2018,
  author    = {Pieper, Martin},
  title     = {Digitale Hochschullehre in mathematischen und mathematikdidaktischen Veranstaltungen},
  series = {Beitr{\"a}ge zum Mathematikunterricht 2018 : Vortr{\"a}ge zur Mathematikdidaktik und zur Schnittstelle Mathematik/Mathematikdidaktik auf der gemeinsamen Jahrestagung GDM und DMV 2018 (52. Jahrestagung der Gesellschaft f{\"u}r Didaktik der Mathematik). Bd. 1},
  booktitle = {Beitr{\"a}ge zum Mathematikunterricht 2018 : Vortr{\"a}ge zur Mathematikdidaktik und zur Schnittstelle Mathematik/Mathematikdidaktik auf der gemeinsamen Jahrestagung GDM und DMV 2018 (52. Jahrestagung der Gesellschaft f{\"u}r Didaktik der Mathematik). Bd. 1},
  publisher = {WTM-Verlag},
  address   = {M{\"u}nster},
  isbn      = {978-3-95987-089-4},
  pages     = {105 -- 106},
  year      = {2018},
  language  = {de}
}
@inproceedings{Pieper2018,
  author    = {Pieper, Martin},
  title     = {Lernzielorientierte Kurse und Stack Aufgaben in der Mathematikausbildung},
  series = {Beitr{\"a}ge zum Mathematikunterricht 2018 : Vortr{\"a}ge zur Mathematikdidaktik und zur Schnittstelle Mathematik/Mathematikdidaktik auf der gemeinsamen Jahrestagung GDM und DMV 2018 (52. Jahrestagung der Gesellschaft f{\"u}r Didaktik der Mathematik). Bd. 3},
  booktitle = {Beitr{\"a}ge zum Mathematikunterricht 2018 : Vortr{\"a}ge zur Mathematikdidaktik und zur Schnittstelle Mathematik/Mathematikdidaktik auf der gemeinsamen Jahrestagung GDM und DMV 2018 (52. Jahrestagung der Gesellschaft f{\"u}r Didaktik der Mathematik). Bd. 3},
  publisher = {WTM-Verlag},
  address   = {M{\"u}nster},
  isbn      = {978-3-95987-089-4},
  pages     = {1399 -- 1402},
  year      = {2018},
  language  = {de}
}
@inproceedings{Kern2017,
  author    = {Kern, Alexander},
  title     = {Optimierung des Blitzschutzes bei Biogasanlagen},
  series = {12. VDE/ABB-Blitzschutztagung : Beitr{\"a}ge der 12. VDE/ABB-Fachtagung, 12.-13. Oktober 2017, Aschaffenburg},
  booktitle = {12. VDE/ABB-Blitzschutztagung : Beitr{\"a}ge der 12. VDE/ABB-Fachtagung, 12.-13. Oktober 2017, Aschaffenburg},
  isbn      = {978-3-8007-4459-6},
  pages     = {48 -- 56},
  year      = {2017},
  language  = {de}
}
@inproceedings{KernBrocke2017,
  author    = {Kern, Alexander and Brocke, Ralph},
  title     = {Planung von Fangeinrichtungen mit dem dynamischen elektro-geometrischen Modell - M{\"o}gliche praktische Anwendungen},
  series = {12. VDE/ABB-Blitzschutztagung : Beitr{\"a}ge der 12. VDE/ABB-Fachtagung, 12.-13. Oktober 2017, Aschaffenburg},
  booktitle = {12. VDE/ABB-Blitzschutztagung : Beitr{\"a}ge der 12. VDE/ABB-Fachtagung, 12.-13. Oktober 2017, Aschaffenburg},
  isbn      = {978-3-8007-4459-6},
  pages     = {75 -- 82},
  year      = {2017},
  language  = {de}
}
@inproceedings{BirklDiendorferKernetal.2017,
  author    = {Birkl, Josef and Diendorfer, Gerhard and Kern, Alexander and Thern, Stephan},
  title     = {Extrem hohe Blitzstr{\"o}me},
  series = {12. VDE/ABB-Blitzschutztagung : Beitr{\"a}ge der 12. VDE/ABB-Fachtagung, 12.-13. Oktober 2017, Aschaffenburg},
  booktitle = {12. VDE/ABB-Blitzschutztagung : Beitr{\"a}ge der 12. VDE/ABB-Fachtagung, 12.-13. Oktober 2017, Aschaffenburg},
  isbn      = {978-3-8007-4459-6},
  pages     = {146 -- 152},
  year      = {2017},
  language  = {de}
}
@article{BirklDiendorferKernetal.2018,
  author    = {Birkl, Josef and Diendorfer, Gerhard and Kern, Alexander and Thern, Stephan},
  title     = {Extrem hohe Blitzstr{\"o}me},
  series = {Elektropraktiker},
  volume    = {72},
  journal   = {Elektropraktiker},
  number    = {3},
  publisher = {Huss Medien},
  address   = {Berlin},
  pages     = {217 -- 225},
  year      = {2018},
  abstract  = {Blitze sind nach wie vor eine enorme Schadensquelle f{\"u}r Personensch{\"a}den, Br{\"a}nde, mechanische Zerst{\"o}rungen und insbesondere auch {\"U}berspannungen. Das zeigen nicht zuletzt aktuelle Statistiken der Schadensversicherer. Immer wieder gibt es Meldungen {\"u}ber extrem hohe Blitzstr{\"o}me, die nat{\"u}rlich auch zu großen Sch{\"a}den und Zerst{\"o}rungen f{\"u}hren k{\"o}nnen. Dabei werden Scheitelwerte von teilweise deutlich {\"u}ber 300 kA genannt. Dies wirft Fragen auf, da die „klassische" Blitzstatistik (z. B. nach CIGRE und IEC [8][10]) bisher solche Werte nicht kennt. Diese extremen Blitzstr{\"o}me werden meist aus den Daten von Blitzortungssystemen ermittelt.},
  language  = {de}
}
@article{KellerRathBruckmannetal.2020,
  author    = {Keller, Johannes and Rath, Volker and Bruckmann, Johanna and Mottaghy, Darius and Clauser, Christoph and Wolf, Andreas and Seidler, Ralf and B{\"u}cker, H. Martin and Klitzsch, Norbert},
  title     = {SHEMAT-Suite: An open-source code for simulating flow, heat and species transport in porous media},
  series = {SoftwareX},
  volume    = {12},
  journal   = {SoftwareX},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {2352-7110},
  doi       = {10.1016/j.softx.2020.100533},
  pages     = {9},
  year      = {2020},
  abstract  = {SHEMAT-Suite is a finite-difference open-source code for simulating coupled flow, heat and species transport in porous media. The code, written in Fortran-95, originates from geoscientific research in the fields of geothermics and hydrogeology. It comprises: (1) a versatile handling of input and output, (2) a modular framework for subsurface parameter modeling, (3) a multi-level OpenMP parallelization, (4) parameter estimation and data assimilation by stochastic approaches (Monte Carlo, Ensemble Kalman filter) and by deterministic Bayesian approaches based on automatic differentiation for calculating exact (truncation error-free) derivatives of the forward code.},
  language  = {en}
}
@article{NobisSchmittSchemmetal.2020,
  author    = {Nobis, Moritz and Schmitt, Carlo and Schemm, Ralf and Schnettler, Armin},
  title     = {Pan-European CVAR-constrained stochastic unit commitment in day-ahead and intraday electricity markets},
  series = {Energies},
  volume    = {13},
  journal   = {Energies},
  number    = {Art. 2339},
  publisher = {MDPI},
  address   = {Basel},
  issn      = {1996-1073},
  doi       = {10.3390/en13092339},
  pages     = {1 -- 35},
  year      = {2020},
  abstract  = {The fundamental modeling of energy systems through individual unit commitment decisions is crucial for energy system planning. However, current large-scale models are not capable of including uncertainties or even risk-averse behavior arising from forecasting errors of variable renewable energies. However, risks associated with uncertain forecasting errors have become increasingly relevant within the process of decarbonization. The intraday market serves to compensate for these forecasting errors. Thus, the uncertainty of forecasting errors results in uncertain intraday prices and quantities. Therefore, this paper proposes a two-stage risk-constrained stochastic optimization approach to fundamentally model unit commitment decisions facing an uncertain intraday market. By the nesting of Lagrangian relaxation and an extended Benders decomposition, this model can be applied to large-scale, e.g., pan-European, power systems. The approach is applied to scenarios for 2023—considering a full nuclear phase-out in Germany—and 2035—considering a full coal phase-out in Germany. First, the influence of the risk factors is evaluated. Furthermore, an evaluation of the market prices shows an increase in price levels as well as an increasing day-ahead-intraday spread in 2023 and in 2035. Finally, it is shown that intraday cross-border trading has a significant influence on trading volumes and prices and ensures a more efficient allocation of resources.},
  language  = {en}
}