@article{PieperKlein2011,
  author    = {Pieper, Martin and Klein, Peter},
  title     = {A simple and accurate numerical network flow model for bionic micro heat exchangers},
  series = {Heat mass transfer},
  volume    = {47},
  journal   = {Heat mass transfer},
  number    = {5},
  publisher = {Springer},
  address   = {Berlin},
  isbn      = {0947-7411},
  pages     = {491 -- 503},
  year      = {2011},
  language  = {en}
}
@article{PieperKlein2012,
  author    = {Pieper, Martin and Klein, Peter},
  title     = {Application of simple, periodic homogenization techniques to non-linear heat conduction problems in non-periodic, porous media},
  series = {Heat mass transfer},
  volume    = {48},
  journal   = {Heat mass transfer},
  number    = {2},
  publisher = {Springer},
  address   = {Berlin},
  issn      = {0947-7411},
  doi       = {10.1007/s00231-011-0879-4},
  pages     = {291 -- 300},
  year      = {2012},
  abstract  = {Often, detailed simulations of heat conduction in complicated, porous media have large runtimes. Then homogenization is a powerful tool to speed up the calculations by preserving accurate solutions at the same time. Unfortunately real structures are generally non-periodic, which requires unpractical, complicated homogenization techniques. We demonstrate in this paper, that the application of simple, periodic techniques to realistic media, that are just close to periodic, gives accurate, approximative solutions. In order to obtain effective parameters for the homogenized heat equation, we have to solve a so called "cell problem". In contrast to periodic structures it is not trivial to determine a suitable unit cell, which represents a non-periodic media. To overcome this problem, we give a rule of thumb on how to choose a good cell. Finally we demonstrate the efficiency of our method for virtually generated foams as well as real foams and compare these results to periodic structures.},
  language  = {en}
}
@article{PieperKlein2010,
  author    = {Pieper, Martin and Klein, Peter},
  title     = {Numerical solution of the heat equation with non-linear, time derivative-dependent source term},
  series = {International Journal for Numerical Methods in Engineering},
  volume    = {84},
  journal   = {International Journal for Numerical Methods in Engineering},
  number    = {10},
  publisher = {Wiley},
  address   = {Chichester},
  issn      = {0029-5981},
  doi       = {10.1002/nme.2937},
  pages     = {1205 -- 1221},
  year      = {2010},
  abstract  = {The mathematical modeling of heat conduction with adsorption effects in coated metal structures yields the heat equation with piecewise smooth coefficients and a new kind of source term. This term is special, because it is non-linear and furthermore depends on a time derivative. In our approach we reformulated this as a new problem for the usual heat equation, without source term but with a new non-linear coefficient. We gave an existence and uniqueness proof for the weak solution of the reformulated problem. To obtain a numerical solution, we developed a semi-implicit and a fully implicit finite volume method. We compared these two methods theoretically as well as numerically. Finally, as practical application, we simulated the heat conduction in coated aluminum fibers with adsorption in the zeolite coating. Copyright © 2010 John Wiley \& Sons, Ltd.},
  language  = {en}
}
@article{PieperIvanyshyn2008,
  author    = {Pieper, Martin and Ivanyshyn, Olha},
  title     = {Nonlinear integral equations for a 3D inverse acoustic scattering problem : abstract / O. Ivanyshyn and M. Pieper},
  year      = {2008},
  language  = {en}
}
@article{Pieper2009,
  author    = {Pieper, Martin},
  title     = {Vector hyperinterpolation on the sphere},
  series = {Journal of approximation theory. 156 (2009), H. 2},
  journal   = {Journal of approximation theory. 156 (2009), H. 2},
  isbn      = {0021-9045},
  pages     = {173 -- 186},
  year      = {2009},
  language  = {en}
}
@book{Pieper2007,
  author    = {Pieper, Martin},
  title     = {Spektralrandintegralmethoden zur Maxwell-Gleichung},
  publisher = {Der Andere Verl.},
  address   = {T{\"o}nning [u.a.]},
  isbn      = {978-3-89959-635-9},
  pages     = {144 S. : graph. Darst.},
  year      = {2007},
  language  = {de}
}
@article{Pieper2008,
  author    = {Pieper, Martin},
  title     = {Nonlinear integral equations for an inverse electromagnetic scattering problem},
  series = {Journal of Physics Conference Series. 124 (2008)},
  journal   = {Journal of Physics Conference Series. 124 (2008)},
  isbn      = {1742-6596},
  year      = {2008},
  language  = {en}
}
@article{Pieper2011,
  author    = {Pieper, Martin},
  title     = {Multiobjective optimization with expensive objectives applied to a thermodynamic material design problem},
  series = {Proceedings in applied mathematics and mechanics : PAMM. 11 (2011), H. 1},
  journal   = {Proceedings in applied mathematics and mechanics : PAMM. 11 (2011), H. 1},
  publisher = {Wiley},
  address   = {Weinheim},
  isbn      = {1617-7061},
  pages     = {733 -- 734},
  year      = {2011},
  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}
}
@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}
}
@book{Pieper2019,
  author    = {Pieper, Martin},
  title     = {Quantenmechanik : Einf{\"u}hrung in die mathematische Formulierung},
  publisher = {Springer Spektrum},
  address   = {Wiesbaden},
  isbn      = {978-3-658-28329-2},
  doi       = {10.1007/978-3-658-28329-2},
  year      = {2019},
  language  = {de}
}
@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}
}
@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}
}
@inproceedings{PhilippBrillowskiDammersetal.2020,
  author    = {Philipp, Brauner and Brillowski, Florian Sascha and Dammers, Hannah and K{\"o}nigs, Peter and Kordtomeikel, Frauke Carole and Petruck, Henning and Schaar, Anne Kathrin and Schmitz, Seth and Steuer-Dankert, Linda and Mertens, Alexander and Gries, Thomas and Leicht-Scholten, Carmen and Nagel, Saskia K. and Nitsch, Verena and Schuh, G{\"u}nther and Ziefle, Martina},
  title     = {A research framework for human aspects in the internet of production: an intra-company perspective},
  series = {Advances in Manufacturing, Production Management and Process Control: Proceedings of the AHFE 2020 Virtual Conferences on Human Aspects of Advanced Manufacturing, Advanced Production Management and Process Control, and Additive Manufacturing, Modeling Systems and 3D Prototyping, July 16-20, 2020, USA},
  booktitle = {Advances in Manufacturing, Production Management and Process Control: Proceedings of the AHFE 2020 Virtual Conferences on Human Aspects of Advanced Manufacturing, Advanced Production Management and Process Control, and Additive Manufacturing, Modeling Systems and 3D Prototyping, July 16-20, 2020, USA},
  editor    = {Mrugalska, Beata and Trzcielinski, Stefan and Karwowski, Waldemar and Nicolantonio, Massimo Di and Roossi, Emilio},
  publisher = {Springer},
  address   = {Cham},
  isbn      = {978-3-030-51980-3},
  doi       = {10.1007/978-3-030-51981-0_1},
  pages     = {3 -- 17},
  year      = {2020},
  abstract  = {Digitalization in the production sector aims at transferring concepts and methods from the Internet of Things (IoT) to the industry and is, as a result, currently reshaping the production area. Besides technological progress, changes in work processes and organization are relevant for a successful implementation of the "Internet of Production" (IoP). Focusing on the labor organization and organizational procedures emphasizes to consider intra-company factors such as (user) acceptance, ethical issues, and ergonomics in the context of IoP approaches. In the scope of this paper, a research approach is presented that considers these aspects from an intra-company perspective by conducting studies on the shop floor, control level and management level of companies in the production area. Focused on four central dimensions—governance, organization, capabilities, and interfaces—this contribution presents a research framework that is focused on a systematic integration and consideration of human aspects in the realization of the IoP.},
  language  = {en}
}
@inproceedings{PfundtVogelsangGerling1988,
  author    = {Pfundt, H. and Vogelsang, D. and Gerling, Ulrich},
  title     = {Calculation of the crust profile in aluminium reduction cells by thermal computer modelling},
  series = {Light metals 1989 : 118th annual meeting of the Minerals, Metals and Materials Society, Las Vegas, NV, Feb. 27 - Mar. 03. 1989},
  booktitle = {Light metals 1989 : 118th annual meeting of the Minerals, Metals and Materials Society, Las Vegas, NV, Feb. 27 - Mar. 03. 1989},
  publisher = {Minerals, Metals and Materials Soc.},
  address   = {Warrendale, Pa.},
  pages     = {371 -- 377},
  year      = {1988},
  language  = {en}
}
@book{PeterStrackeWeinzierletal.1995,
  author    = {Peter, M. and Stracke, Thomas and Weinzierl, C. and Faber, Christian and Schwarzer, Klemens},
  title     = {Verbundvorhaben zur Ermittlung der Leistungsf{\"a}higkeit von Sonnenheizsystemen zur Wassererw{\"a}rmung : Phase 2 (VELS II) ; Abschlussbericht},
  publisher = {Solar-Institut J{\"u}lich, Fachhochschule Aachen},
  address   = {J{\"u}lich},
  pages     = {87 S.},
  year      = {1995},
  language  = {de}
}
@inproceedings{PaulsenHoffstadtKrafftetal.2020,
  author    = {Paulsen, Svea and Hoffstadt, Kevin and Krafft, Simone and Leite, A. and Zang, J. and Fonseca-Zang, W. and Kuperjans, Isabel},
  title     = {Continuous biogas production from sugarcane as sole substrate},
  series = {Energy Reports},
  volume    = {6},
  booktitle = {Energy Reports},
  number    = {Supplement 1},
  publisher = {Elsevier},
  doi       = {10.1016/j.egyr.2019.08.035},
  pages     = {153 -- 158},
  year      = {2020},
  language  = {en}
}
@article{PauksztatKuperjansMeyer2005,
  author    = {Pauksztat, Anja and Kuperjans, Isabel and Meyer, J{\"o}rg},
  title     = {Formeln statt Zahlen : Referenzwerte Formeln zur energetischen Bewertung von Produktionsanlagen},
  series = {BWK : das Energie-Fachmagazin},
  volume    = {57},
  journal   = {BWK : das Energie-Fachmagazin},
  number    = {12},
  issn      = {0006-9612},
  pages     = {52 -- 55},
  year      = {2005},
  language  = {de}
}
@article{PauksztatKuperjansMeyer2005,
  author    = {Pauksztat, Anja and Kuperjans, Isabel and Meyer, J{\"o}rg},
  title     = {Produktbezogene Referenzwerte f{\"u}r Energieeffizienz und CO2-Emissionen},
  series = {Energiewirtschaftliche Tagesfragen : et ; Zeitschrift f{\"u}r Energiewirtschaft, Recht, Technik und Umwelt},
  volume    = {55},
  journal   = {Energiewirtschaftliche Tagesfragen : et ; Zeitschrift f{\"u}r Energiewirtschaft, Recht, Technik und Umwelt},
  number    = {6},
  issn      = {0013-743X},
  pages     = {374 -- 376},
  year      = {2005},
  language  = {de}
}