TY - JOUR A1 - Asante-Asamani, E.O. A1 - Kleefeld, Andreas A1 - Wade, B.A. T1 - A second-order exponential time differencing scheme for non-linear reaction-diffusion systems with dimensional splitting JF - Journal of Computational Physics N2 - 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. KW - Exponential time differencing KW - Real distinct pole KW - Dimensional splitting KW - Reaction-diffusion systems KW - Matrix exponential Y1 - 2020 U6 - https://doi.org/10.1016/j.jcp.2020.109490 SN - 0021-9991 N1 - Corresponding author: Andreas Kleefeld VL - 415 PB - Elsevier CY - Amsterdam ER - TY - JOUR A1 - Hillen, Walter A1 - Schiebel, U. A1 - Zaengel, T. T1 - A selenium-based detector for digital slot-radiography JF - Medical Imaging II Y1 - 1988 N1 - Proceedings of SPIE ; 914 SP - 253 ER - TY - CHAP A1 - Schöning, Michael Josef A1 - Abouzar, Maryam H. A1 - Wagner, Torsten A1 - Näther, Niko A1 - Rolka, David A1 - Yoshinobu, Tatsuo A1 - Kloock, Joachim P. A1 - Turek, Monika A1 - Ingebrandt, Sven A1 - Poghossian, Arshak T1 - A semiconductor-based field-effect platform for (bio-)chemical and physical sensors: From capacitive EIS sensors and LAPS over ISFETs to nano-scale devices T2 - MRS Proceedings Y1 - 2006 U6 - https://doi.org/10.1557/PROC-0952-F08-02 N1 - Vol. 952 - Symposium F - Integrated Nanosensors SP - 1 EP - 9 ER - TY - JOUR A1 - Schöning, Michael Josef A1 - Buß, G. A1 - Faßbender, F. A1 - Glück, O. A1 - Schmitt, G. A1 - Schultze, J. W. A1 - Lüth, H. T1 - A silicon-based microelectrode array for chemical analysis JF - Sensors and Actuators B. 65 (2000), H. 1-3 Y1 - 2000 SN - 0925-4005 SP - 284 EP - 287 ER - TY - JOUR A1 - Schöning, Michael Josef A1 - Buß, G. A1 - Faßbender, F. A1 - Glück, O. A1 - Schmitt, G. A1 - Schultze, J. W. A1 - Lüth, H. T1 - A silicon-based microelectrode array for chemical analysis JF - Proceedings of the Seventh International Meeting on Chemical Sensors : 27 - 30 July, 1998, Beijing, P. R. China / ed. Zhi-Gang Zhou Y1 - 1998 N1 - International Meeting on Chemical Sensors ; (7, 1998, Beijing) ; International Meeting on Chemical Sensors (IMCS) ; (7 : ; 1998.07.27-30 : ; Beijing) SP - 100 EP - 102 PB - Elsevier CY - Amsterdam [u.a.] ER - TY - JOUR A1 - Bäcker, Matthias A1 - Pouyeshman, S. A1 - Schnitzler, Thomas A1 - Poghossian, Arshak A1 - Wagner, Patrick A1 - Biselli, Manfred A1 - Schöning, Michael Josef T1 - A silicon-based multi-sensor chip for monitoring of fermentation processes JF - Physica status solidi (a) : applications and material science. 208 (2011), H. 6 Y1 - 2011 SN - 1862-6319 SP - 1364 EP - 1369 PB - Wiley CY - Weinheim ER - TY - JOUR A1 - Schöning, Michael Josef A1 - Weidenbrück, B. A1 - Thust, M. A1 - Kordos, P. A1 - Lüth, H. T1 - A silicon-based sensor array with capacitive EIS structures JF - 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. Y1 - 1997 SN - 83-908335-0-6 N1 - Eurosensors ; (11, 1997, Warszawa) ; Eurosensors - European Conference on Solid-State Transducers ; (11 : ; 1997.09.21-24 : ; Warsaw) SP - 871 EP - 874 PB - Sensor Lab Sp. CY - Warsaw ER - TY - CHAP A1 - Pham, Phu Tinh A1 - Staat, Manfred T1 - A simplification for shakedown analysis of hardening structures T2 - 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 Y1 - 2015 SP - 1 EP - 4 PB - RWTH Aachen University CY - Aachen ER - TY - JOUR A1 - Hillen, Walter A1 - Alper Selver, M. A1 - Fischer, Felix A1 - Kuntalp, Mehmet T1 - 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 JF - Computer Methods and Programs in Biomedicine. 86 (2007), H. 3 Y1 - 2007 SN - 0169-2607 SP - 270 EP - 280 PB - - ER - TY - JOUR A1 - Clausnitzer, Julian A1 - Kleefeld, Andreas T1 - A spectral Galerkin exponential Euler time-stepping scheme for parabolic SPDEs on two-dimensional domains with a C² boundary JF - Discrete and Continuous Dynamical Systems - Series B N2 - 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. KW - Nonlinear eigenvalue problems KW - Boundary integral equations, KW - Exponential Euler scheme, KW - Parabolic SPDEs Y1 - 2024 U6 - https://doi.org/10.3934/dcdsb.2023148 SN - 1531-3492 SN - 1553-524X (eISSN) VL - 29 IS - 4 SP - 1624 EP - 1651 PB - AIMS CY - Springfield ER -