65 citations · 149 across the 21 of their papers we have counts for
5 papers · 1 filter
Symmetric parareal algorithms for Hamiltonian systems
X. Dai, C. Le Bris, F. Legoll +1
The parareal in time algorithm allows to efficiently use parallel computing for the simulation of time-dependent problems. It is based on a decomposition of the time interval into…
Symplectic schemes for highly oscillatory Hamiltonian systems: the homogenization approach beyond the constant frequency case
Matthew Dobson, Claude Le Bris, Frederic Legoll
We follow up on our previous works which presented a possible approach for deriving symplectic schemes for a certain class of highly oscillatory Hamiltonian systems. The approach c…
Elements of mathematical foundations for a numerical approach for weakly random homogenization problems
Arnaud Anantharaman, Claude Le Bris
This work is a follow-up to our previous work "A numerical approach related to defect-type theories for some weakly random problems in homogenization" (preprint available on this a…
A numerical approach related to defect-type theories for some weakly random problems in homogenization
Arnaud Anantharaman, Claude Le Bris
We present in this paper an approach for computing the homogenized behavior of a medium that is a small random perturbation of a periodic reference material. The random perturbatio…
Reduced basis techniques for stochastic problems
Sébastien Boyaval, Claude Le Bris, Tony Lelièvre +3
We report here on the recent application of a now classical general reduction technique, the Reduced-Basis approach initiated in [C. Prud'homme, D. Rovas, K. Veroy, Y. Maday, A. T.…