Dimensional splitting of hyperbolic partial differential equations using the radon transform

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 diferential equations. This dimensional splitting has remarkable properties that make it useful in a variety of contexts, including multidimensional extension of large time-step methods, absorbing boundary conditions, displacement interpolation, and multidimensional generalization of transport reversal [Rim, Moe, and LeVeque, SIAM/ASA J. Uncertain. Quantif., 6(2018), pp. 118-150].