By Alexander Mielke
This booklet stories contemporary mathematical advancements within the Programme "Analysis, Modeling and Simulation of Multiscale Problems", which all started as a German learn initiative in 2006. Multiscale difficulties happen in lots of fields of technology, reminiscent of microstructures in fabrics, sharp-interface types, many-particle platforms and motions on various spatial and temporal scales in quantum mechanics or in molecular dynamics. The booklet offers present mathematical foundations of modeling, and proposes effective numerical treatment.
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