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10/11/2022
The Neumann boundary condition for the two-dimensional Lax-Wendroff scheme
We study the stability of the two-dimensional Lax-Wendroff scheme with a...
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01/07/2022
The Green's function of the Lax-Wendroff and Beam-Warming schemes
We prove a sharp uniform generalized Gaussian bound for the Green's func...
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02/05/2021
Sharp stability for finite difference approximations of hyperbolic equations with boundary conditions
In this article, we consider a class of finite rank perturbations of Toe...
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12/17/2020
Generalized gaussian bounds for discrete convolution powers
We prove a uniform generalized gaussian bound for the powers of a discre...
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09/23/2020
The Leray-Gårding method for finite difference schemes. II. Smooth crossing modes
In [Cou15] a multiplier technique, going back to Leray and Gårding for s...
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01/08/2020
On some stable boundary closures of finite difference schemes for the transport equation
We explore in this article the possibilities and limitations of the so-c...
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12/06/2019
High order numerical schemes for transport equations on bounded domains
This article is an account of the NABUCO project achieved during the sum...
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09/11/2019