87 citations · 170 across the 20 of their papers we have counts for
6 papers · 1 filter
A fully discrete variational scheme for solving nonlinear Fokker-Planck equations in higher space dimensions
Oliver Junge, Daniel Matthes, Horst Osberger
We introduce a novel spatio-temporal discretization for nonlinear Fokker-Planck equations on the multi-dimensional unit cube. This discretization is based on two structural propert…
On fast computation of finite-time coherent sets using radial basis functions
Gary Froyland, Oliver Junge
Finite-time coherent sets inhibit mixing over finite times. The most expensive part of the transfer operator approach to detecting coherent sets is the construction of the operator…
Computing the Invariant Measure and the Lyapunov Exponent for One-Dimensional Maps using a Measure-Preserving Polynomial Basis
Philip J. Aston, Oliver Junge
We consider a generalisation of Ulam's method for approximating invariant densities of one-dimensional chaotic maps. Rather than use piecewise constant polynomials to approximate t…
Estimating long term behavior of flows without trajectory integration: the infinitesimal generator approach
Gary Froyland, Oliver Junge, Péter Koltai
The long-term distributions of trajectories of a flow are described by invariant densities, i.e. fixed points of an associated transfer operator. In addition, global slowly mixing…
Mean field approximation in conformation dynamics
Gero Friesecke, Oliver Junge, Péter Koltai
We propose a new approach to the transfer operator based analysis of the conformation dynamics of molecules. It is based on a statistical independence ansatz for the eigenfunctions…
Discretization of transfer operators using a sparse hierarchical tensor basis - the Sparse Ulam method
Oliver Junge, Peter Koltai
The global macroscopic behaviour of a dynamical system is encoded in the eigenfunctions of a certain transfer operator associated to it. For systems with low dimensional long term…