# Dimensional splitting of hyperbolic partial differential equations using the Radon transform

## TL;DR

This paper presents a novel dimensional splitting method for hyperbolic PDEs using the Radon transform, enabling advanced multi-dimensional techniques like large time-step methods and boundary conditions.

## Contribution

It introduces a new splitting approach based on the Radon transform's properties, expanding the toolkit for solving multi-dimensional hyperbolic PDEs.

## Key findings

- Enables large time-step extensions for hyperbolic PDEs
- Facilitates implementation of absorbing boundary conditions
- Supports multi-dimensional transport reversal

## Abstract

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.