Multiscale modeling: recent progress and open questions

Many important scientific problems are inherently multi scale. This is, for instance, the case in models in material science or environmental science. A big challenge is to formulate generic frameworks for multiscale modeling and simulation. Despite its importance, the scientific community still lacks a well-accepted generic methodology to address multiscale computating. We review a recent theoretical framework which aims at filling this gap. We also present new results and extension in relation with scale bridging methods and execution multiscale simulation on HPC systems, and discuss open questions related to this topic.