In these lecture series, we will give an overview of some multiscale methods and discuss their applications and algorithms. The following topics will be discussed.

- General introduction to multiscale problems.

- Homogenization and numerical homogenization. Basic concepts and applications.

- Global model reduction techniques.

- Multiscale finite element methods and local model reduction.Continuous and Discontinuous Galerkin formulations. Linear and nonlinear problems.

- Applications and algorithms.

The lectures are intended for graduate and undergraduate students.
Graduate students and young researchers are particularly encouraged to participate this summer course.

Main Lecturer:

Yalchin Efendiev (Texas A&M University and KAUST) Mobil Chair in Computational Science & Director of Institute for Scientific Computation (ISC), Department of Mathematics & ISC , Texas A&M University Director of Numerical Porous Media SRI 
Center (NumPor), King Abdullah University of Science and Technology

For more information, see http://math.cts.nthu.edu.tw/Mathematics/2014MH.html