Variational methods are widely used in mathematical and numerical analysis of various objects and phenomena in physics, biology, economy, and other sciences. The first part of this course of lectures is intended to present in a compact form history, main ideas, and recent trends in the development of variational methods. Also, we discuss applications arising in, e.g., theory of information (recovery of images), free boundary problems and highly nonlinear models in mechanics and physics (plasticity, non-linear fluids, and phase transitions). The second part contains a concise overview of the optimization theory, paying major attention to problems with distributed control and state equations formed by differential equations. Lectures are oriented towards listeners interested in mathematics, mathematical modeling, and computational methods. However, in the majority of cases no special mathematical knowledge (beyond standard mathematical analysis courses of physical/mathematical faculties) is required.

Period
18-08-2014 - 22-08-2014 (1 weeks)

Target group
The Summer School annually offers courses for advanced masters students, graduate students and post-docs in the various fields of science and information technology.

Course aim
The most important aims of the Summer School are to develop post-graduates scientific readiness and to offer students the possibility to study in a modern, scientific environment and to create connections to the international science community.



Credits
2.0 ECTS creditsObligatory attendance at lectures.Grading: Pass/fail

Course fee
EUR 0[Convert to USD]Participating the Summer School is free of charge, but student have to cover the costs of own travel, accommodation and meals at Jyvskyl.

Course leader
Dr. Olli Mali(University of Jyvskyl, Finland)Lecturer: Prof. Sergey Repin (University of Jyvskyl, Finland)

Scholarships
The 24th Jyvskyl Summer School is not able to grant any Summer School students financial support. In order to ensure your participation, we recommend that you take steps to secure your own funding, for example, by turning first to your home institution

University of Jyvaskyla Faculty of Mathematics and Science and Faculty of Information Technology
Address: Jyvaskyla Summer School, Faculty of Mathematics and Science P.O.Box 35 (YK312), FIN-40014 University of Jyvaskyla, Finland
Postal code: FIN-40014
City: Jyvaskyla
Country: Finland
Website: http://www.jyu.fi/summerschool
E-mail: jss@jyu.fi
Phone: +358505818351