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Project C8: Numerical approximation of high-dimensional Fokker-Planck equations Stochastic processes driven by Brownian motion, which play a fundamental role in soft matter physics, can also be described by associated deterministic Fokker-Planck equations for probability distributions, where the dimensionality of the space on which this equation is posed increases linearly with respect to the number of particles. The aim of this project is to develop numerical solution methods for such high-dimensional problems that allow for the efficient extraction of quantities of interest, which typically take the form of certain integrals with respect to the computed distributions. In the high-dimensional case, beyond the basic numerical feasibility, a central issue is to ensure the accuracy of the computed solutions by suitable a posteriori error control. The initial focus of the project, which started during the second funding period, was on the development of numerical methods. On the one hand, we considered adaptive low-rank […]

Admission and Qualification Admission Students funded directly by the TRR146 are automatically admitted to the IRTG. External students can apply for admission by presenting a CV and a one-page project plan to the TRR146 Office where they explain how their project fits TRR146 topics. The application will be evaluated by the PIs of the IRTG. We anticipate that workshop and conference travel funding for admitted external students will be limited and accessible only upon application. Qualification plan The most important training element of the IRTG is the research on the project, assisted by efficient supervision . In addition, the integrated training group serves as a mean to provide students and young postdoctoral researchers with the training required for working within the CRC-TR. The training is made necessary by the interdisciplinary nature of the CRC-TR, where chemistry, physics, mathematics and computer science are intertwined in a non-standard combination, which is usually […]

IRTG – Activities The IRTG fosters its objectives through a series of activities (see items below), which the members can attend/exploit in relation to their needs. Participation to the activities of the IRTG should not require more than 15% of a student’s working time. The activities are coordinated by the coordination office of the CRC-TR together with the elected student/postdoc speakers.

IRTG Organization Currently, the student/postdoc speakers are • Rebecca Steiner (further information) • Fabio Frommer (further information) • Moritz Mathes (further information) • Maarten Brems (further information)

Integrated research training group (IRTG) The integrated research training group (IRTG) of the TRR 146 provides a joint structured graduate education in the area of Computational Materials Science for the graduate students and young postdocs in the TRR 146 as well as other interested candidates working in related areas. The goals of the IRTG are threefold: 1) to provide students with the interdisciplinary background required for the research activities in the TRR 146, and to prepare them for a possible career in the area of theoretical Materials Sciences 2) to ensure common standards in the education of all graduate students in the TRR 146 by means of a well structured supervision and management program, 3) to establish and strengthen links within the TRR 146 already at the level of graduate students and young postdoctoral researchers. Special emphasis is placed on promoting exchange between groups within and outside of the TRR […]