| Course Outline |
| Contact Info |
Leonid Berlyand, 337 McAllister Bldg, telephone: 863-9683, email: berlyand@math.psu.edu |
| Office hours | By appointment |
| Academic Integrity Statement | All Penn State Policies regarding ethics and honorable behavior apply to this course. |
| Textbook |
Primary Textbook: Homogenization of Differential Operators and Integral Functionals,
by V.V. Jikov, S.M. Kozlov, O.A. Oleinik.
Springer, ISBN 3540548092, 1994 Supplementary Textbook: Introduction to the Network Approximation Method for Materials Modeling, by L. Berlyand, A.G. Kolpakov, A. Novikov. Cambridge University Press, 2012 |
| Short description | The goal of this introductory course is to introduce students to the ideas and techniques of homogenization theory for various multiscale problems that are ubiquitous in material science, engineering and biology. This theory yields a homogenization approximation that is easier to implement numerically since it contains fewer fine scales that are computationally expensive. Such approximation is known as coarse-graining or upscaling. |
| Classroom | We meet in 116 EE West. |
| Prerequisites | MATH 513 |
| Grading | The course will be based on the term project. |