Analysis, Modeling and Simulation of Multiscale Problems
Alexander Mielk, "Analysis, Modeling and Simulation of Multiscale Problems"
Springer; 1 edition (October 19, 2006) | ISBN: 3540356568 | 697 pages | PDF | 10,4 Mb
Springer; 1 edition (October 19, 2006) | ISBN: 3540356568 | 697 pages | PDF | 10,4 Mb
This book reports recent mathematical developments in the DFG Priority Programme "Analysis, Modeling and Simulation of Multiscale Problems", which started as a German research initiative in 2000. The field of multiscale problems occurs 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. Recently developed tools are described in a comprehensive manner. This book provides the state of the art on the mathematical foundations of the modeling and the efficient numerical treatment of such problems.