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CRC 1114 has focused on this problem field since 2014 with a strongly interdisciplinary approach in which Mathematicians join forces with scientists from Biochemistry, Physics, and the Geosciences who contribute hard application problems involving scaling cascades. Our primary aim is to achieve:

Methodological developments for the modelling and simulation of complex processes involving cascades of scales derived from prototypical challenges in the natural sciences.

We believe that we have made considerable progress on several prototypical challenges already. For example, new methods developed in the CRC allowed us, for the first time, to simulate the dynamical mechanism of a molecular process at the timescale of seconds with all-atom resolution.

Our secondary aim is to indeed tackle these prototypical application challenges and demonstrate that theory and methods developed in the CRC 1114 can go all the way to making relevant impact in application fields such as molecular and cellular processes, moist atmospheric dynamics, and geophysics.

The added value of CRC 1114 arises from communication and cooperation across the boundaries of projects and disciplines, aiming at a common understanding of cascade-of-scales-problems and at generalisations of the developed methods to broader problem classes. Mathematical abstraction takes a leading role in the identification of overarching structures and the formulation of general concepts in a common language. Over the 12-year funding perspective, the CRC will place the methods development for cascade-of-scales-processes on the international research agenda and advance the field of multiscale modelling and simulation by mastering a number of open challenges in the natural sciences.