Multiscale methods for partial differential equations

TTh - 10:30 - 12, classroom TBA

Synopsis: The course will cover analytical and numerical techniques for
multiscale problems. Homogenization methods and their applications
to numerical simulations of multiscale problems will be discussed.
Various finite element/volume based numerical homogenization/multiscale methods
as well as multiscale numerical methods for problems without scale separation
will be covered in this course.

Prerequisite: Instructor's approval

Grading: Grades will be based on homework and projects

Handouts will be distributed. We will be using also the notes of Multiscale Methods: Averaging and Homogenization (Texts in Applied Mathematics) (Hardcover) by GA Pavliotis (Author), AM Stuart (Author) (this book will be delivered to the bookstore sometime soon).