Computing Coherent Sets using the Fokker-Planck Equation
Dynamical Systems
2016-10-17 v2
Abstract
We perform a numerical approximation of coherent sets in finite-dimensional smooth dynamical systems by computing singular vectors of the transfer operator for a stochastically perturbed flow. This operator is obtained by solution of a discretized Fokker-Planck equation. For numerical implementation, we employ spectral collocation methods and an exponential time differentiation scheme. We experimentally compare our approach to the more classical method by Ulam that is based on integration of the exact transfer operator.
Cite
@article{arxiv.1512.03761,
title = {Computing Coherent Sets using the Fokker-Planck Equation},
author = {Andreas Denner and Oliver Junge and Daniel Matthes},
journal= {arXiv preprint arXiv:1512.03761},
year = {2016}
}