Reading Materials on Multiscale Methods

The students are encouraged to report parts of the papers below, or perform numerical computations for the multiscale problems considered in these papers by themselves as the final project.

Two scale convergence paper by G. Nguetseng

Two scale convergence paper by G. Allaire

HMM paper in CMS

HMM for ODEs

HMM for SDEs


HMM numerics for elliptic homogenization

HMM analysis framework

HMM review in CiCP

Equation-free methods for ODEs

Equation-free methods review in CMS