Multiscale Discontinuous Galerkin Methods for Elliptic Problems with Multiple Scales -- Discrete Network Approximation for Highly-Packed Composites with Irregular Geometry in Three Dimensions -- Adaptive Monte Carlo Algorithms for Stopped Diffusion -- The Heterogeneous Multi-Scale Method for Homogenization Problems -- A Coarsening Multigrid Method for Flow in Heterogeneous Porous Media -- On the Modeling of Small Geometric Features in Computational Electromagnetics -- Coupling PDEs and SDEs: The Illustrative Example of the Multiscale Simulation of Viscoelastic Flows -- Adaptive Submodeling for Linear Elasticity Problems with Multiscale Geometric Features -- Adaptive Variational Multiscale Methods Based on A Posteriori Error Estimation: Duality Techniques for Elliptic Problems -- Multipole Solution of Electromagnetic Scattering Problems with Many, Parameter Dependent Incident Waves -- to Normal Multiresolution Approximation -- Combining the Gap-Tooth Scheme with Projective Integration: Patch Dynamics -- Multiple Time Scale Numerical Methods for the Inverted Pendulum Problem -- Multiscale Homogenization of the Navier-Stokes Equation -- Numerical Simulations of the Dynamics of Fiber Suspensions.