By Alexander Mielke
This ebook experiences contemporary mathematical advancements within the Programme "Analysis, Modeling and Simulation of Multiscale Problems", which begun as a German examine initiative in 2006. Multiscale difficulties happen in lots of fields of technology, corresponding to microstructures in fabrics, sharp-interface versions, many-particle platforms and motions on varied spatial and temporal scales in quantum mechanics or in molecular dynamics. The e-book provides present mathematical foundations of modeling, and proposes effective numerical treatment.
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