Time-averaging of ODE systems with highly oscillatory response
Amit Acharya (Carnegie Mellon University)
From Atomistics to Reality: Spanning Scales in Simulations and Experiments Symposium A
Mon 4:20 - 5:40
CIT 165
A progression of ideas leading to a practical computational technique for time-averaging nonlinear, fast oscillatory response of ODE systems under slow forcing is described. The key idea is to introduce running finite time-averages of phase functions that are provably robust 'slow' variables whose evolution can be approximated. The strategy induces a separation of time scales in an augmented dynamics, even when the original system does not come equipped with one. This is joint work with Marshall Slemrod and Likun Tan.