تقرير
Efficient Adaptive Computation of the Dynamics of Mott Transistors
| العنوان: | Efficient Adaptive Computation of the Dynamics of Mott Transistors |
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| المؤلفون: | Auzinger, Winfried, Einramhof, Lukas, Held, Karsten, Kauch, Anna, Koch, Othmar, Watzenböck, Clemens, Weinmüller, Ewa |
| سنة النشر: | 2021 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis |
| الوصف: | 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. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2111.15505 |
| رقم الأكسشن: | edsarx.2111.15505 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |