Multiscale Methods

<jats:title>Abstract</jats:title> <jats:p>Small scale features and processes occurring at nanometer and femtosecond scales have a profound impact on what happens at larger space and time scales. In view of the increasing need of understanding and controlling the behavior of products and processes at multiple scales, multiscale modeling and simulation has emerged as one of the focal research areas in applied science and engineering. The primary objective of this volume is to present the-state-of-the art in multiscale mathematics, modeling and simulations and to address the following barriers: What is the information that needs to be transferred from one model or scale to another and what physical principles must be satisfied during the transfer of information? What are the optimal ways to achieve such transfer of information? How to quantify variability of physical parameters at multiple scales and how to account for it to ensure design robustness? The volume is intended as a reference book for scientists, engineers and graduate students in traditional engineering and science disciplines as well as in the emerging fields of nanotechnology, biotechnology, microelectronics and energy.</jats:p>