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math.AP2015★ 1 cited
Amplitude equations for weakly nonlinear surface waves in variational problems
Sylvie Benzoni-Gavage, Jean-François Coulombel
Among hyperbolic Initial Boundary Value Problems (IBVP), those coming from a variational principle 'generically' admit linear surface waves, as was shown by Serre [J. Funct. Anal.…
math.AP2015★ 7 cited
Stability of finite difference schemes for hyperbolic initial boundary value problems: numerical boundary layers
Benjamin Boutin, Jean-François Coulombel
In this article, we give a unified theory for constructing boundary layer expansions for dis-cretized transport equations with homogeneous Dirichlet boundary conditions. We exhibit…