Publication year: 2006
: 978-3-540-35657-8
This book reports recent mathematical developments in the Programme "Analysis, Modeling and Simulation of Multiscale Problems", which started as a German research initiative in 2006. Multiscale problems occur in many fields of science, such as microstructures in materials, sharp-interface models, many-particle systems and motions on different spatial and temporal scales in quantum mechanics or in molecular dynamics. The book presents current mathematical foundations of modeling, and proposes efficient numerical treatment.
: Mathematics and Statistics, Mathematica, Sharp, Simula, averaging in Hamiltonian systems, dynamical systems, homogenization, interface, mechanics, microstructures in solids, modeling, modulation equations, multiscale modeling, simulation, tool, wavelet