@article{SchoppaSiegVogeletal.2020,
  author    = {Schoppa, Lukas and Sieg, Tobias and Vogel, Kristin and Z{\"o}ller, Gert and Kreibich, Heidi},
  title     = {Probabilistic flood loss models for companies},
  series = {Water resources research},
  volume    = {56},
  journal   = {Water resources research},
  number    = {9},
  publisher = {American Geophysical Union},
  address   = {Washington},
  issn      = {0043-1397},
  doi       = {10.1029/2020WR027649},
  pages     = {19},
  year      = {2020},
  abstract  = {Flood loss modeling is a central component of flood risk analysis. Conventionally, this involves univariable and deterministic stage-damage functions. Recent advancements in the field promote the use of multivariable and probabilistic loss models, which consider variables beyond inundation depth and account for prediction uncertainty. Although companies contribute significantly to total loss figures, novel modeling approaches for companies are lacking. Scarce data and the heterogeneity among companies impede the development of company flood loss models. We present three multivariable flood loss models for companies from the manufacturing, commercial, financial, and service sector that intrinsically quantify prediction uncertainty. Based on object-level loss data (n = 1,306), we comparatively evaluate the predictive capacity of Bayesian networks, Bayesian regression, and random forest in relation to deterministic and probabilistic stage-damage functions, serving as benchmarks. The company loss data stem from four postevent surveys in Germany between 2002 and 2013 and include information on flood intensity, company characteristics, emergency response, private precaution, and resulting loss to building, equipment, and goods and stock. We find that the multivariable probabilistic models successfully identify and reproduce essential relationships of flood damage processes in the data. The assessment of model skill focuses on the precision of the probabilistic predictions and reveals that the candidate models outperform the stage-damage functions, while differences among the proposed models are negligible. Although the combination of multivariable and probabilistic loss estimation improves predictive accuracy over the entire data set, wide predictive distributions stress the necessity for the quantification of uncertainty.},
  language  = {en}
}
@article{SchroeterRitterHolschneideretal.2016,
  author    = {Schroeter, M-A and Ritter, M. and Holschneider, Matthias and Sturm, H.},
  title     = {Enhanced DySEM imaging of cantilever motion using artificial structures patterned by focused ion beam techniques},
  series = {Journal of micromechanics and microengineering},
  volume    = {26},
  journal   = {Journal of micromechanics and microengineering},
  publisher = {IOP Publ. Ltd.},
  address   = {Bristol},
  issn      = {0960-1317},
  doi       = {10.1088/0960-1317/26/3/035010},
  pages     = {7},
  year      = {2016},
  abstract  = {We use a dynamic scanning electron microscope (DySEM) to map the spatial distribution of the vibration of a cantilever beam. The DySEM measurements are based on variations of the local secondary electron signal within the imaging electron beam diameter during an oscillation period of the cantilever. For this reason, the surface of a cantilever without topography or material variation does not allow any conclusions about the spatial distribution of vibration due to a lack of dynamic contrast. In order to overcome this limitation, artificial structures were added at defined positions on the cantilever surface using focused ion beam lithography patterning. The DySEM signal of such high-contrast structures is strongly improved, hence information about the surface vibration becomes accessible. Simulations of images of the vibrating cantilever have also been performed. The results of the simulation are in good agreement with the experimental images.},
  language  = {en}
}
@unpublished{Schrohe2000,
  author    = {Schrohe, Elmar},
  title     = {A short introduction to Boutet de Monvel's calculus},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25696},
  year      = {2000},
  abstract  = {This paper provides an introduction to Boutet de Monvel's calculus on the half-space IRn (positiv) in the framework of a pseudodifferential calculus with operator-valued symbols.},
  language  = {en}
}
@unpublished{Schrohe1999,
  author    = {Schrohe, Elmar},
  title     = {Noncommutative residues, Dixmier's Trace, and heat trace expansions on manifolds with boundary},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25486},
  year      = {1999},
  abstract  = {For manifolds with boundary, we define an extension of Wodzicki's noncommutative residue to boundary value problems in Boutet de Monvel's calculus. We show that this residue can be recovered with the help of heat kernel expansions and explore its relation to Dixmier's trace.},
  language  = {en}
}
@misc{Schrohe1998,
  author    = {Schrohe, Elmar},
  title     = {Wloka, J. T. [u.a.], Boundary value problems for eliptic systems},
  year      = {1998},
  language  = {en}
}
@article{Schrohe1997,
  author    = {Schrohe, Elmar},
  title     = {Noncommutative residue and manifolds with conicial singularities},
  year      = {1997},
  language  = {en}
}
@article{Schrohe1997,
  author    = {Schrohe, Elmar},
  title     = {Wodzicki{\"i}s noncommutative residue and trace for operator algebras on manifolds with conical singularities},
  year      = {1997},
  language  = {en}
}
@misc{Schrohe1995,
  author    = {Schrohe, Elmar},
  title     = {Schulze, B.-W., Pseudo-Differential Boundary Value Problems, Conical Singularities, and Asymptotics; Berlin, Akademie-Verl., 1995},
  year      = {1995},
  language  = {en}
}
@article{Schrohe1996,
  author    = {Schrohe, Elmar},
  title     = {Traces on the cone algebra with asymptotics},
  year      = {1996},
  language  = {en}
}
@misc{Schrohe1998,
  author    = {Schrohe, Elmar},
  title     = {Lesch, M., Operators of Fuchs type, conical singularities, and asymptotic methods},
  year      = {1998},
  language  = {en}
}
@article{Schrohe2001,
  author    = {Schrohe, Elmar},
  title     = {A short introduction to Boutet de Monvel's calculus},
  year      = {2001},
  language  = {en}
}
@article{Schrohe2001,
  author    = {Schrohe, Elmar},
  title     = {Ellipticity and invertibility in the cone algebra on Lp-Sobolev spaces},
  year      = {2001},
  language  = {en}
}
@book{Schrohe2000,
  author    = {Schrohe, Elmar},
  title     = {A short introduction to Boutet de Monvel`s calculus},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  publisher = {Univ.},
  address   = {Potsdam},
  issn      = {1437-739X},
  pages     = {23 S. : graph. Darst.},
  year      = {2000},
  language  = {en}
}
@misc{Schrohe1999,
  author    = {Schrohe, Elmar},
  title     = {Lesch, M., Operators of Fuchs type, conical singularities, and asymptotic methods},
  year      = {1999},
  language  = {en}
}
@article{Schrohe1999,
  author    = {Schrohe, Elmar},
  title     = {Frechet algebra techniques for boundary value problems on noncompact manifolds : Fredholm riteria and functional calculus via spectral invariance},
  year      = {1999},
  language  = {en}
}
@article{Schrohe1999,
  author    = {Schrohe, Elmar},
  title     = {Noncommutative residues, Diximier{\"i}s trace, and heat trace expansions on manifolds with boundary},
  year      = {1999},
  language  = {en}
}
@article{SchroheHieber1999,
  author    = {Schrohe, Elmar and Hieber, Matthias},
  title     = {Lp spectral independence of elliptic operators via commutator estimates},
  year      = {1999},
  language  = {en}
}
@article{SchroheLeopold1997,
  author    = {Schrohe, Elmar and Leopold, H.-G.},
  title     = {Invariance of the LP spectrum for hypoeliptic operators},
  year      = {1997},
  language  = {en}
}
@article{SchroheNest1998,
  author    = {Schrohe, Elmar and Nest, R.},
  title     = {Diximier{\"i}s trace for boundary value problems},
  year      = {1998},
  language  = {en}
}
@unpublished{SchroheSchulze1999,
  author    = {Schrohe, Elmar and Schulze, Bert-Wolfgang},
  title     = {Edge-degenerate boundary value problems on cones},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25436},
  year      = {1999},
  abstract  = {We consider edge-degenerate families of pseudodifferential boundary value problems on a semi-infinite cylinder and study the behavior of their push-forwards as the cylinder is blown up to a cone near infinity. We show that the transformed symbols belong to a particularly convenient symbol class. This result has applications in the Fredholm theory of boundary value problems on manifolds with edges.},
  language  = {en}
}