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.

翻译：我们为Mott晶体管的数字近似值调查时间适应性 Magnus 型集成器。 快速减速的电磁场需要适应性地选择时间步骤。 作为步骤选择的基础, 使用本地误差的基于缺陷的误差估计器。 我们分析数字近似值的误差, 并展示适应性方法的优点 。