#### Event Title

Shadowing: Right Results from Wrong Numbers

#### Description

Numerical simulations are indispensable in the investigation of specific dynamical systems. Unfortunately, computer arithmetic with real numbers is not always exact. Since chaotic dynamical systems amplify small errors at an exponential rate, the results of most simulations are unreliable. Using computer simulations to illustrate his talk, Kocak will describe the method of shadowing for extracting mathematically rigorous results from erroneous numerical computations.

#### Date of Event

February 12, 2014 12 - 1:00 PM

#### Location

Mailman-Hollywood Building Second Floor Auditorium, 3301 College Ave., Fort Lauderdale (main campus)

#### NSU News Release Link

http://nsunews.nova.edu/next-mathematics-colloquium-talk-using-shadowing-for-problem-solving-feb-12/

Shadowing: Right Results from Wrong Numbers

Mailman-Hollywood Building Second Floor Auditorium, 3301 College Ave., Fort Lauderdale (main campus)

Numerical simulations are indispensable in the investigation of specific dynamical systems. Unfortunately, computer arithmetic with real numbers is not always exact. Since chaotic dynamical systems amplify small errors at an exponential rate, the results of most simulations are unreliable. Using computer simulations to illustrate his talk, Kocak will describe the method of shadowing for extracting mathematically rigorous results from erroneous numerical computations.

https://nsuworks.nova.edu/mathematics_colloquium/ay_2013-2014/events/6

## Presenter Bio

Hüseyin Koçak has a Ph.D. and teaches at University of Miami