@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{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}
}
@article{EweKleinPieperetal.2009,
  author    = {Ewe, Hendrik and Klein, Peter and Pieper, Martin and F{\"u}ldner, G.},
  title     = {Heat conductivity in sintered aluminium fibers},
  series = {Cellular metals for structural and functional applications : CELLMET 2008 ; proceedings of the International Symposium on Cellular Metals for Structural and Functional Applications held October 8 - 10, 2008 in Dresden, Germany / ed. by G{\"u}nter Stephani},
  journal   = {Cellular metals for structural and functional applications : CELLMET 2008 ; proceedings of the International Symposium on Cellular Metals for Structural and Functional Applications held October 8 - 10, 2008 in Dresden, Germany / ed. by G{\"u}nter Stephani},
  publisher = {Fraunhofer IFAM},
  address   = {Dresden},
  pages     = {187 -- 193},
  year      = {2009},
  language  = {en}
}
@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{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}
}
@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}
}