Numerical Analysis of Multiscale Computations : Proceedings of a Winter Workshop at the Banff International Research Station 2009 This book is a snapshot of current research in multiscale modeling computations and applications. It covers fundamental mathematical theory numerical algorithms as well as practical computational advice for analysing single and multiphysics models containing a variety of scales in time and space. Complex fluids porous media flow and oscillatory dynamical systems are treated in some extra depth as well as tools like analytical and numerical homogenization and the fast multipole method.