Lax–Wendroff和Beam–Warming方案的Green函数

Q4 Mathematics Annales Mathematiques Blaise Pascal Pub Date : 2023-02-27 DOI:10.5802/ambp.413

J.-F. Coulombel

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引用次数: 2

摘要

我们证明了Lax–Wendroff和Beam–Warming格式的Green函数的一致广义高斯界。我们的边界强调了导致这些方案在最大范数中众所周知（相当弱）不稳定性的空间区域。当这些方案应用于有界变化的初始数据时，我们还恢复了最大范数的一致边界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Green’s function of the Lax–Wendroff and Beam–Warming schemes

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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