Analysis, Modeling and Simulation of Multiscale Problems
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Beschreibung
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.
Recently developed tools for modeling multiscale problems are comprehensively described
Describes problems occurring in many fields of science, including microstructures in materials, sharp-interface models, and more
Provides the mathematical foundations of the modeling and the efficient numerical treatment of such problems
Autor*in
Alexander Mielke
Themen in »Analysis, Modeling and Simulation of Multiscale Problems«
Mathematica Sharp Simula averaging in Hamiltonian systems dynamical systems homogenization interface mechanics microstructures in solids modeling modulation equations multiscale modeling simulation tool wavelet