90 citations · 370 across the 42 of their papers we have counts for
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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…
An asymptotic preserving scheme for the relativistic Vlasov--Maxwell equations in the classical limit
Nicolas Crouseilles, Lukas Einkemmer, Erwan Faou
We consider the relativistic Vlasov--Maxwell (RVM) equations in the limit when the light velocity goes to infinity. In this regime, the RVM system converges towards the Vlasov-…
Free Vibrations of Axisymmetric Shells: Parabolic and Elliptic cases
Marie Chaussade-Beaudouin, Monique Dauge, Erwan Faou +1
Approximate eigenpairs (quasimodes) of axisymmetric thin elastic domains with laterally clamped boundary conditions (Lam{é} system) are determined by an asymptotic analysis as the…