3 papers
math.DS2025
Avoiding spectral pollution for transfer operators using residuals
April Herwig, Matthew J. Colbrook, Oliver Junge +2
Koopman operator theory enables linear analysis of nonlinear dynamical systems by lifting their evolution to infinite-dimensional function spaces. However, finite-dimensional appro…
math.DS2023
A dynamic -Laplacian
Alvaro de Diego Unanue, Gary Froyland, Oliver Junge +1
We generalise the dynamic Laplacian introduced in (Froyland, 2015) to a dynamic -Laplacian, in analogy to the generalisation of the standard -Laplacian to the standard -La…
math.OC2014
Dynamic programming using radial basis functions
Oliver Junge, Alex Schreiber
We propose a discretization of the optimality principle in dynamic programming based on radial basis functions and Shepard's moving least squares approximation method. We prove con…