Dimensional splitting of hyperbolic partial differential equations using the Radon transform
Numerical Analysis
2018-12-27 v4
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.
Cite
@article{arxiv.1705.03609,
title = {Dimensional splitting of hyperbolic partial differential equations using the Radon transform},
author = {Donsub Rim},
journal= {arXiv preprint arXiv:1705.03609},
year = {2018}
}
Comments
25 pages