Record link: 
http://hdl.handle.net/20.500.12708/222891
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Title: 
Efficient adaptive computation of the dynamics of Mott transistors
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Citation: 
Auzinger, W., Einramhof, L., Held, K., Kauch, A., Koch, O., Watzenböck, C., & Weinmüller, E. (2025). Efficient adaptive computation of the dynamics of Mott transistors. In T. Simos & C. Tsitouras (Eds.), International Scientific and Practical Symposium “Materials Science and Technology”: MST-IV-2024 (pp. 010001-1-010001–010006). https://doi.org/10.1063/5.0291480
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Publisher DOI: 
10.1063/5.0291480
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Publication Type: 
Inproceedings - Full-Paper Contribution
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Language: 
English
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Authors: 
Auzinger, Winfried 
Einramhof, Lukas 
Held, Karsten 
Kauch, Anna 
Koch, Othmar 
Watzenböck, Clemens 
Weinmüller, Ewa 
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Organisational Unit: 
E138-01 - Forschungsbereich Computational Materials Science 
E101 - Institut für Analysis und Scientific Computing 
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Published in: 
International Scientific and Practical Symposium "Materials Science and Technology": MST-IV-2024 
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ISBN: 
9780735452459
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Volume: 
1
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DOI of the book: 
10.1063/12.0036977
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Date (published): 
2025
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Event name: 
23rd International Conference of Numerical Analysis and Applied Mathematics : ICNAAM 2025 
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Event date: 
16-Sep-2025 - 22-Sep-2025
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Event place: 
Kreta, Greece
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Number of Pages: 
7
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Peer reviewed: 
Yes
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Keywords: 
Mott transistor; electromagnetic field; numerical approximation; adaptive integration
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Abstract: 
We investigate time-adaptive Magnus-type integrators for the numerical approximation of a Mott transistor. The rapidly attenuating electromagnetic field calls for adaptive choice of the time steps. As a basis for step selection, asymptotically correct defect-based estimators of the local error are employed. We analyze the error of the numerical approximation in the presence of the unsmooth external potential and demonstrate the advantages of the adaptive approach.
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Research Areas: 
Modeling and Simulation: 100%
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Science Branch: 
1010 - Mathematik: 100%
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Appears in Collections:
Conference Paper

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