Analysis, Modeling and Simulation of Multiscale Problems
- Author
- Alexander Mielke
- Publication Year
- 2006
- Publisher
- Springer
- Language
- English
- Document Type
- Book
- Faculty / Subject Heading
- Mathematics and Statistics
- Download Book Read book
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.
Keywords: 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
