Numerical methods for time-dependent Schrödinger equations

该项目涉及时间相关Schrödinger方程的数值方法的发展和分析。目前，数值方案仅限于一组参数值，不允许模拟真实生活过程。基于在平稳情况下得到的结果，我们的重点是设计一个有效和鲁棒的方案，适用于实际的非定常问题。该方法包括基于现代误差的网格自适应，并将在开源库协议中实现。因此，除了通常的出版物外，该算法将通过该图书馆直接提供给科学家。

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.