Numerical methods for time-dependent Schrödinger equations

该项目致力于发展和分析含时薛定谔方程的数值方法。目前，数值格式仅限于一组参数值，不允许模拟真实生活过程。基于在定常情况下所得到的结果，我们着重于设计一种适用于实际非定常问题的高效和健壮的格式的挑战。该方法包括现代基于误差的网格自适应，并将在开放源代码库交易中实现。ii.因此，除了通常的出版物外，科学家将通过该库直接获得该算法。

The project is concerned with the development and analysis of a numerical method for the time-dependent Schrödinger equations. Currently, numerical schemes are restricted to a set of parameter values, which do not allow for simulations of real life processes. Based on the results obtained in the stationary case, we focus on the challenge to design an efficient and robust scheme, which is applicable to realistic unsteady problems. The method includes modern error based mesh adaption and will be implemented in the open-source library deal.II. Thus, beside usual publications, the algorithm will be directly available to scientist via this library.