An elementary introduction to the multiscale method of averaging

Series: 
Research Horizons Seminar
Wednesday, January 28, 2015 - 12:15
1 hour (actually 50 minutes)
Location: 
Skiles 005
,  
Georgia Tech Math Department
Organizer: 

Please note the delayed start for this week only.

The main focus of this talk is a class of asymptotic methods called averaging. These methods approximate complicated differential equations that contain multiple scales by much simpler equations. Such approximations oftentimes facilitate both analysis and computation. The discussion will be motivated by simple examples such as bridge and swing, and it will remain intuitive rather than fully rigorous. If time permits, I will also mention some related projects of mine, possibly including circuits, molecules, and planets.