The Green's function of the Lax-Wendroff and Beam-Warming schemes
Overview & Synopsis
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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Document Information
| Document Title | The Green's function of the Lax-Wendroff and Beam-Warming schemes |
|---|---|
| Author / Organization | Jean-François Coulombel |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2022 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-138557 |
| Original Source Link | Visit Source Page on hal.science » |