Pacific Northwest Numerical Analysis Seminar

Abstracts

Modeling systems with discontinous dynamics has received increased attention in biological, engineering, and environmental applications. Furthermore, across nature and engineering, delay is an inherent feature in systems with feedback and control. While there have been recent advances for analyzing the complex deterministic behavior of such systems, there are many open questions around understanding and predicting noise-driven and noise-sensitive phenomena in these contexts. Stochastic effects can often change the picture dramatically, particularly if multiple time scales are present. Certain features lead to sensitivity to noise, so that analyzing the dynamics can be delicate. Efficient computational methods that are not susceptible to this sensitivity are a critical part of understanding and using the models.