The multiscale, multi-physics viewpoint opens up unprecedented opportunities for modeling. It opens up the opportunity to put engineering models on a solid footing.

The book begins with a discussion of the analytical techniques in multiscale analysis, including matched asymptotics, averaging, homogenization, renormalization group methods, and the Mori–Zwanzig …

We stress that the focus of this course is on the numerical solution of multiscale problems (rather than deriving analytical expressions for those few cases, where homogenization theory admits closed …

Multiscale models bridge the micro-scale (where the deformation mechanisms occur) and the macro-scale (which is of interest to engineering structural applications).

Multiscale computational modeling has emerged as a central part of many mechanical engineering applications in recent years. The need for multiscale models arises from the limitations of single …

Current deterministic modeling approaches to subsurface flow and transport can be subdivided into pore- and continuum-scale models While pore-scale models enable one to describe relevant …

Some of the most fascinating problems in all fields of science involve multiple spatial or temporal scales: Processes that occur at a certain scale govern the behavior of the system across several (usually …