Synopses & Reviews
This book is a collection of lecture notes for the CIME course on "Multiscale and Adaptivity: Modeling, Numerics and Applications," held in Cetraro (Italy), in July 2009. Complex systems arise in several physical, chemical, and biological processes, in which length and time scales may span several orders of magnitude. Traditionally, scientists have focused on methods that are particularly applicable in only one regime, and knowledge of the system on one scale has been transferred to another scale only indirectly.
Table of Contents
AdaptiveWavelet Methods.- Heterogeneous Mathematical Models in Fluid Dynamics and Associated Solution Algorithms.- Primer of Adaptive Finite Element Methods.- Mathematically Founded Design of Adaptive Finite Element Software.