On the Discovering of Positively Invariant Sets for Differential Equations via Optimization Methods

Zoltan Horvath

Date and Time: 

Wednesday, October 16, 2013 - 4:00pm

Event Location: 

Mohler Lab # 451

For efficient and physically reliable numerical computations for time dependent differential equations it is very important to find positively invariant subsets of the state space and determine time step sizes of the numerical method that guarantee this. In this talk, we present the state-of-the-art theory and novel approaches beyond it to find positively invariant sets and the suitable time step sizes via optimization techniques.

Bio Sketch: 

Dr. Zoltan Horvath is the chair of the Department of Mathematics and Computational Sciences at Szechenyi Istvan University. He received his PhD and habilitation from ELTE University Budapest. His research interest is mainly on numerical methods for differential equations and several topics in applied mathematics.