@article{AsanteAsamaniKleefeldWade2020,
  author    = {Asante-Asamani, E.O. and Kleefeld, Andreas and Wade, B.A.},
  title     = {A second-order exponential time differencing scheme for non-linear reaction-diffusion systems with dimensional splitting},
  series = {Journal of Computational Physics},
  volume    = {415},
  journal   = {Journal of Computational Physics},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {0021-9991},
  doi       = {10.1016/j.jcp.2020.109490},
  year      = {2020},
  abstract  = {A second-order L-stable exponential time-differencing (ETD) method is developed by combining an ETD scheme with approximating the matrix exponentials by rational functions having real distinct poles (RDP), together with a dimensional splitting integrating factor technique. A variety of non-linear reaction-diffusion equations in two and three dimensions with either Dirichlet, Neumann, or periodic boundary conditions are solved with this scheme and shown to outperform a variety of other second-order implicit-explicit schemes. An additional performance boost is gained through further use of basic parallelization techniques.},
  language  = {en}
}
@article{HillenSchiebelZaengel1988,
  author    = {Hillen, Walter and Schiebel, U. and Zaengel, T.},
  title     = {A selenium-based detector for digital slot-radiography},
  series = {Medical Imaging II},
  journal   = {Medical Imaging II},
  pages     = {253},
  year      = {1988},
  language  = {en}
}
@inproceedings{SchoeningAbouzarWagneretal.2006,
  author    = {Sch{\"o}ning, Michael Josef and Abouzar, Maryam H. and Wagner, Torsten and N{\"a}ther, Niko and Rolka, David and Yoshinobu, Tatsuo and Kloock, Joachim P. and Turek, Monika and Ingebrandt, Sven and Poghossian, Arshak},
  title     = {A semiconductor-based field-effect platform for (bio-)chemical and physical sensors: From capacitive EIS sensors and LAPS over ISFETs to nano-scale devices},
  series = {MRS Proceedings},
  booktitle = {MRS Proceedings},
  doi       = {10.1557/PROC-0952-F08-02},
  pages     = {1 -- 9},
  year      = {2006},
  language  = {en}
}
@article{SchoeningBussFassbenderetal.2000,
  author    = {Sch{\"o}ning, Michael Josef and Buß, G. and Faßbender, F. and Gl{\"u}ck, O. and Schmitt, G. and Schultze, J. W. and L{\"u}th, H.},
  title     = {A silicon-based microelectrode array for chemical analysis},
  series = {Sensors and Actuators B. 65 (2000), H. 1-3},
  journal   = {Sensors and Actuators B. 65 (2000), H. 1-3},
  isbn      = {0925-4005},
  pages     = {284 -- 287},
  year      = {2000},
  language  = {en}
}
@article{SchoeningBussFassbenderetal.1998,
  author    = {Sch{\"o}ning, Michael Josef and Buß, G. and Faßbender, F. and Gl{\"u}ck, O. and Schmitt, G. and Schultze, J. W. and L{\"u}th, H.},
  title     = {A silicon-based microelectrode array for chemical analysis},
  series = {Proceedings of the Seventh International Meeting on Chemical Sensors : 27 - 30 July, 1998, Beijing, P. R. China / ed. Zhi-Gang Zhou},
  journal   = {Proceedings of the Seventh International Meeting on Chemical Sensors : 27 - 30 July, 1998, Beijing, P. R. China / ed. Zhi-Gang Zhou},
  publisher = {Elsevier},
  address   = {Amsterdam [u.a.]},
  pages     = {100 -- 102},
  year      = {1998},
  language  = {en}
}
@article{BaeckerPouyeshmanSchnitzleretal.2011,
  author    = {B{\"a}cker, Matthias and Pouyeshman, S. and Schnitzler, Thomas and Poghossian, Arshak and Wagner, Patrick and Biselli, Manfred and Sch{\"o}ning, Michael Josef},
  title     = {A silicon-based multi-sensor chip for monitoring of fermentation processes},
  series = {Physica status solidi (a) : applications and material science. 208 (2011), H. 6},
  journal   = {Physica status solidi (a) : applications and material science. 208 (2011), H. 6},
  publisher = {Wiley},
  address   = {Weinheim},
  isbn      = {1862-6319},
  pages     = {1364 -- 1369},
  year      = {2011},
  language  = {en}
}
@article{SchoeningWeidenbrueckThustetal.1997,
  author    = {Sch{\"o}ning, Michael Josef and Weidenbr{\"u}ck, B. and Thust, M. and Kordos, P. and L{\"u}th, H.},
  title     = {A silicon-based sensor array with capacitive EIS structures},
  series = {Proceedings of the 11th European Conference on Solid-State Transducers / Eurosensors XI, September 21 - 24, 1997, Warsaw, Poland. [Organised by] Warsaw University of Technology. Vol 2.},
  journal   = {Proceedings of the 11th European Conference on Solid-State Transducers / Eurosensors XI, September 21 - 24, 1997, Warsaw, Poland. [Organised by] Warsaw University of Technology. Vol 2.},
  publisher = {Sensor Lab Sp.},
  address   = {Warsaw},
  isbn      = {83-908335-0-6},
  pages     = {871 -- 874},
  year      = {1997},
  language  = {en}
}
@inproceedings{PhamStaat2015,
  author    = {Pham, Phu Tinh and Staat, Manfred},
  title     = {A simplification for shakedown analysis of hardening structures},
  series = {Conference proceedings of the YIC GACM 2015 : 3rd ECCOMAS Young Investigators Conference and 6th GACM Colloquium on Computational Mechanics , Aachen , Germany, 20.07.2015 - 23.07.2015 / ed.: Stefanie Elgeti ; Jaan-Willem Simon},
  booktitle = {Conference proceedings of the YIC GACM 2015 : 3rd ECCOMAS Young Investigators Conference and 6th GACM Colloquium on Computational Mechanics , Aachen , Germany, 20.07.2015 - 23.07.2015 / ed.: Stefanie Elgeti ; Jaan-Willem Simon},
  publisher = {RWTH Aachen University},
  address   = {Aachen},
  organization    = {ECCOMAS Young Investigators Conference <3, 2015, Aachen>},
  pages     = {1 -- 4},
  year      = {2015},
  language  = {en}
}
@article{HillenAlperSelverFischeretal.2007,
  author    = {Hillen, Walter and Alper Selver, M. and Fischer, Felix and Kuntalp, Mehmet},
  title     = {A software tool for interactive generation, representation, and systematical storage of transfer functions for 3D medical images / Alper Selver, M. ; Fischer, Felix ; Kuntalp, Mehmet ; Hillen, Walter},
  series = {Computer Methods and Programs in Biomedicine. 86 (2007), H. 3},
  journal   = {Computer Methods and Programs in Biomedicine. 86 (2007), H. 3},
  publisher = {-},
  isbn      = {0169-2607},
  pages     = {270 -- 280},
  year      = {2007},
  language  = {en}
}
@article{ClausnitzerKleefeld2024,
  author    = {Clausnitzer, Julian and Kleefeld, Andreas},
  title     = {A spectral Galerkin exponential Euler time-stepping scheme for parabolic SPDEs on two-dimensional domains with a C² boundary},
  series = {Discrete and Continuous Dynamical Systems - Series B},
  volume    = {29},
  journal   = {Discrete and Continuous Dynamical Systems - Series B},
  number    = {4},
  publisher = {AIMS},
  address   = {Springfield},
  issn      = {1531-3492},
  doi       = {10.3934/dcdsb.2023148},
  pages     = {1624 -- 1651},
  year      = {2024},
  abstract  = {We consider the numerical approximation of second-order semi-linear parabolic stochastic partial differential equations interpreted in the mild sense which we solve on general two-dimensional domains with a C² boundary with homogeneous Dirichlet boundary conditions. The equations are driven by Gaussian additive noise, and several Lipschitz-like conditions are imposed on the nonlinear function. We discretize in space with a spectral Galerkin method and in time using an explicit Euler-like scheme. For irregular shapes, the necessary Dirichlet eigenvalues and eigenfunctions are obtained from a boundary integral equation method. This yields a nonlinear eigenvalue problem, which is discretized using a boundary element collocation method and is solved with the Beyn contour integral algorithm. We present an error analysis as well as numerical results on an exemplary asymmetric shape, and point out limitations of the approach.},
  language  = {en}
}