  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.
