The Green's function of the Lax-Wendroff and Beam-Warming schemes
Classical Analysis and ODEs
2022-01-10 v1 Numerical Analysis
Numerical Analysis
Abstract
We prove a sharp uniform generalized Gaussian bound for the Green's function of the Lax-Wendroff and Beam-Warming schemes. Our bound highlights the spatial region that leads to the well-known (rather weak) instability of these schemes in the maximum norm. We also recover uniform bounds in the maximum norm when these schemes are applied to initial data of bounded variation.
Keywords
Cite
@article{arxiv.2201.02371,
title = {The Green's function of the Lax-Wendroff and Beam-Warming schemes},
author = {Jean-François Coulombel},
journal= {arXiv preprint arXiv:2201.02371},
year = {2022}
}