  We introduce a dimensional splitting method based on the intertwining
property of the Radon transform, with a particular focus on its applications
related to hyperbolic partial differential equations (PDEs). This dimensional
splitting has remarkable properties that makes it useful in a variety of
contexts, including multi-dimensional extension of large time-step (LTS)
methods, absorbing boundary conditions, displacement interpolation, and
multi-dimensional generalization of transport reversal.
