90 citations · 370 across the 42 of their papers we have counts for
27 papers · 1 filter
A generalized spectral concentration problem and the varying masks algorithm
Erwan Faou, Yoann Le Henaff
In this paper we generalize the spectral concentration problem as formulated by Slepian, Pollak and Landau in the 1960s. We show that a generalized version with arbitrary space and…
Existence and stability of traveling waves for discrete nonlinear Schroedinger equations over long times
Joackim Bernier, Erwan Faou
We consider the problem of existence and stability of solitary traveling waves for the one dimensional discrete non linear Schroedinger equation (DNLS) with cubic nonlinearity, nea…
Analysis of an asymptotic preserving scheme for stochastic linear kinetic equations in the diffusion limit
Nathalie Ayi, Erwan Faou
We present an asymptotic preserving scheme based on a micro-macro decomposition for stochastic linear transport equations in kinetic and diffusive regimes. We perfom a mathematical…
Uniformly accurate exponential-type integrators for klein-gordon equations with asymptotic convergence to classical splitting schemes in the nonlinear schroedinger limit
Simon Baumstark, Erwan Faou, Katharina Schratz
We introduce efficient and robust exponential-type integrators for Klein-Gordon equations which resolve the solution in the relativistic regime as well as in the highly-oscillatory…
Convergence of a Normalized Gradient Algorithm for Computing Ground States
Erwan Faou, Tiphaine Jézéquel
We consider the approximation of the ground state of the one-dimensional cubic nonlinear Schr{ö}dinger equation by a normalized gradient algorithm combined with linearly implicit t…
High frequency oscillations of first eigenmodes in axisymmetric shells as the thickness tends to zero
Marie Chaussade-Beaudouin, Monique Dauge, Erwan Faou +1
The lowest eigenmode of thin axisymmetric shells is investigated for two physical models (acoustics and elasticity) as the shell thickness (2) tends to zero. Using a novel asymp…