@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{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{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}
}
@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{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}
}
@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{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}
}
@inproceedings{PieperKonopka2013,
  author    = {Pieper, Martin and Konopka, Mahnaz},
  title     = {Umgestaltung der Mathematik Anf{\"a}ngervorlesungen im Fachbereich Energietechnik},
  series = {Mathematik im {\"U}bergang Schule/Hochschule und im ersten Studienjahr : extended abstracts zur 2. khdm-Arbeitstagung 20.02. - 23.02.2013. (khdm-Report ; 13-01)},
  booktitle = {Mathematik im {\"U}bergang Schule/Hochschule und im ersten Studienjahr : extended abstracts zur 2. khdm-Arbeitstagung 20.02. - 23.02.2013. (khdm-Report ; 13-01)},
  pages     = {115 -- 116},
  year      = {2013},
  language  = {de}
}
@inproceedings{PieperSchulz2014,
  author    = {Pieper, Martin and Schulz, Silvia},
  title     = {Teaching Simulation Methods with COMSOL Multiphysics},
  organization    = {COMSOL Conference <2014, Cambridge>},
  pages     = {7},
  year      = {2014},
  abstract  = {This paper describes two courses on simulation methods for graduate students: "Simulation Methods" and "Simulation and Optimization in Virtual Engineering" The courses were planned to teach young engineers how to work with simulation software as well as to understand the necessary mathematical background. As simulation software COMSOL is used. The main philosophy was to combine theory and praxis in a way that motivates the students. In addition "soft skills" should be improved. This was achieved by project work as final examination. As underlying didactical principle the ideas of Bloom's revised taxonomy were followed. The paper basically focusses on educational aspects, e.g. how to structure the course, plan the exercises, organize the project work and include practical COMSOL examples.},
  language  = {en}
}
@incollection{PieperWaehlisch2017,
  author    = {Pieper, Martin and W{\"a}hlisch, Georg},
  title     = {Mehrwert von E-Learning durch f{\"a}cher{\"u}bergreifenden Einsatz},
  series = {Teaching is Touching the Future \& ePS 2016 - Kompetenzorientiertes Lehren, Lernen und Pr{\"u}fen},
  booktitle = {Teaching is Touching the Future \& ePS 2016 - Kompetenzorientiertes Lehren, Lernen und Pr{\"u}fen},
  publisher = {UVW Universit{\"a}tsverlag Webler},
  address   = {Bielefeld},
  isbn      = {978-3-946017-05-9},
  pages     = {193 -- 196},
  year      = {2017},
  language  = {de}
}
@misc{PierHummenStellberg1996,
  author    = {Pier, Arnold and Hummen, J{\"o}rg and Stellberg, Michael},
  title     = {Surgical clip applicator},
  pages     = {16, 7, 2 S. : graph. Darst.},
  year      = {1996},
  language  = {en}
}
@misc{PierHummenStellberg1996,
  author    = {Pier, Arnold and Hummen, J{\"o}rg and Stellberg, Michael},
  title     = {Chirurgischer Klammerapplikator},
  pages     = {4 Bl., 7 S. : graph. Darst.},
  year      = {1996},
  language  = {de}
}
@incollection{PieronekKleefeld2019,
  author    = {Pieronek, Lukas and Kleefeld, Andreas},
  title     = {The Method of Fundamental Solutions for Computing Interior Transmission Eigenvalues of Inhomogeneous Media},
  series = {Integral Methods in Science and Engineering: Analytic Treatment and Numerical Approximations},
  booktitle = {Integral Methods in Science and Engineering: Analytic Treatment and Numerical Approximations},
  editor    = {Constanda, Christian and Harris, Paul},
  publisher = {Birkh{\"a}user},
  address   = {Cham},
  isbn      = {978-3-030-16077-7},
  doi       = {10.1007/978-3-030-16077-7_28},
  pages     = {353 -- 365},
  year      = {2019},
  abstract  = {The method of fundamental solutions is applied to the approximate computation of interior transmission eigenvalues for a special class of inhomogeneous media in two dimensions. We give a short approximation analysis accompanied with numerical results that clearly prove practical convenience of our alternative approach.},
  language  = {en}
}
@article{PieronekKleefeld2024,
  author    = {Pieronek, Lukas and Kleefeld, Andreas},
  title     = {On trajectories of complex-valued interior transmission eigenvalues},
  series = {Inverse problems and imaging : IPI},
  volume    = {18},
  journal   = {Inverse problems and imaging : IPI},
  number    = {2},
  publisher = {AIMS},
  address   = {Springfield, Mo},
  issn      = {1930-8337 (Print)},
  doi       = {10.3934/ipi.2023041},
  pages     = {480 -- 516},
  year      = {2024},
  abstract  = {This paper investigates the interior transmission problem for homogeneous media via eigenvalue trajectories parameterized by the magnitude of the refractive index. In the case that the scatterer is the unit disk, we prove that there is a one-to-one correspondence between complex-valued interior transmission eigenvalue trajectories and Dirichlet eigenvalues of the Laplacian which turn out to be exactly the trajectorial limit points as the refractive index tends to infinity. For general simply-connected scatterers in two or three dimensions, a corresponding relation is still open, but further theoretical results and numerical studies indicate a similar connection.},
  language  = {en}
}
@article{Pietsch1992,
  author    = {Pietsch, Wolfram},
  title     = {Planung und Steuerung CASE-gest{\"u}tzter Software-Projekte},
  series = {Projektmanagement-Forum '92 : Dokumentation ; [Tagungszentrum Rosengarten Mannheim, 14. - 16. Oktober 1992] / hrsg. von Dietmar Lange ... [Gesellschaft f{\"u}r Projektmanagement INTERNET Deutschland e.V.]},
  journal   = {Projektmanagement-Forum '92 : Dokumentation ; [Tagungszentrum Rosengarten Mannheim, 14. - 16. Oktober 1992] / hrsg. von Dietmar Lange ... [Gesellschaft f{\"u}r Projektmanagement INTERNET Deutschland e.V.]},
  publisher = {GPM},
  address   = {M{\"u}nchen},
  isbn      = {3924841128},
  pages     = {353 -- 363},
  year      = {1992},
  language  = {de}
}