Microscopic/stochastic timesteppers and coarse control: a kinetic Monte Carlo example

Abstract

Coarse timesteppers provide a bridge between microscopic / stochastic system descriptions and macroscopic tasks such as coarse stability/bifurcation computations. Exploiting this computational enabling technology, we present a framework for designing observers and controllers based on microscopic simulations, that can be used for their coarse control. The proposed methodology provides a bridge between traditional numerical analysis and control theory on the one hand and microscopic simulation on the other.

References in corpus (1)

• Coarse Stability and Bifurcation Analysis Using Stochastic Simulators: Kinetic Monte Carlo Examples

Cited by in corpus (8)

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• Optimal switching policies using coarse timesteppers
• A Systems-Based Approach to Multiscale Computation: Equation-Free Detection of Coarse-Grained Bifurcations
• Enabling Dynamic Process Simulators to Perform Alternative Tasks: A Time-stepper Based Toolkit for Computer-Aided Analysis
• Detection of coarse-grained unstable states of microscopic/stochastic systems: a timestepper-based iterative protocol
• Patch dynamics with buffers for homogenization problems