Stationary shock profiles of the Lax-Wendroff scheme are nonlinearly orbitally stable under a spectral stability assumption, with explicit weighted decay rates, despite the scheme's known dispersive ell-1 instability.
Benzoni-Gavage, P
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Nonlinear orbital stability of stationary shock profiles for the Lax-Wendroff scheme
Stationary shock profiles of the Lax-Wendroff scheme are nonlinearly orbitally stable under a spectral stability assumption, with explicit weighted decay rates, despite the scheme's known dispersive ell-1 instability.