Department research within scientific computing and parallel computing is well established internationally and focuses on model, method, and program development. Modern scientific computing is advancing rapidly, and its focus often shifts as the technical development of computers continues. At the same time, the development of models and methods goes hand in hand with a deepened mathematical understanding. Important examples are ill-posed problems and inverse problems for which different types of regularisation are necessary. In addition to interdisciplinary investigations of problems such as numerical linear algebra, differential equations, and optimisation, research is also focused on applications in engineering and science.
Examples are chemical equilibrium processes, kinetic analysis, and radio stereometry.
Department researchers in collaboration with HPC2N also make an important contribution to international programming libraries for high-performance parallel computer systems. Computing science didactics are being developed in the framework of a thematic EU network and in cooperation with foreign research groups. All research at the department follows the basic assumption that we have much to gain by sharing and collaborating across fields of research and between groups.