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arXiv · 2201.02371

The Green's function of the Lax-Wendroff and Beam-Warming schemes

Jean-François Coulombel
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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.

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BibTeXRIS

Jean-François Coulombel. 2022-01-07. The Green's function of the Lax-Wendroff and Beam-Warming schemes. https://arxiv.org/abs/2201.02371

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