**Equation-Free Multiscale Computation: Enabling Microscopic
Simulators to Perform System-Level Tasks**

Yannis Kevrekidis

Princeton University

I will discuss a framework for computer-aided multiscale analysis, which enables
models at a "fine" (microscopic/stochastic) level of description to
perform modeling tasks at a "coarse" (macroscopic, systems) level.

In traditional modeling, macroscopic equations are first derived from microscopic
models, and then analyzed with available continuum methods. Our equation-free
(EF) approach bypasses the derivation of macroscopic evolution equations, provided
these equations conceptually exist but are not available in closed form. The
mathematics-assisted development of a computational superstructure enables alternative
descriptions of the problem physics (LB, KMC, MD, BD microscopic simulators),
executed over relatively short time and space scales, to perform systems level
tasks (integration over relatively large time and space scales, "coarse"
bifurcation analysis, but also optimization and control tasks) directly.

Return
to the Program