#### Filter Results:

- Full text PDF available (46)

#### Publication Year

2003

2018

- This year (12)
- Last 5 years (21)
- Last 10 years (44)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

- Philippe Chartier, Erwan Faou, Ander Murua
- Numerische Mathematik
- 2006

In this article, conditions for the preservation of quadratic and Hamiltonian invariants by numerical methods which can be written as B-series are derived in a purely algebraical way. The existenceâ€¦ (More)

- Arnaud Debussche, Erwan Faou
- SIAM J. Numerical Analysis
- 2012

We consider numerical approximations of stochastic differential equations by the Euler method. In the case where the SDE is elliptic or hypoelliptic, we show a weak backward error analysis result inâ€¦ (More)

We consider the Vlasov-HMF (Hamiltonian Mean-Field) model. We consider solutions starting in a small Sobolev neighborhood of a spatially homogeneous state satisfying a linearized stability criterionâ€¦ (More)

- Erwan Faou, Vasile Gradinaru, Christian Lubich
- SIAM J. Scientific Computing
- 2009

We consider the approximation of multi-particle quantum dynamics in the semiclassical regime by Hagedorn wavepackets, which are products of complex Gaussians with polynomials that form an orthonormalâ€¦ (More)

- Guillaume Dujardin, Erwan Faou
- Numerische Mathematik
- 2007

We consider the linear SchrÃ¶dinger equation on a one dimensional torus and its time-discretization by splitting methods. Assuming a non-resonance condition on the stepsize and a small size of theâ€¦ (More)

- Eric CancÃ¨s, FranÃ§ois Castella, +4 authors Gabriel Turinici
- The Journal of chemical physics
- 2004

We introduce high-order formulas for the computation of statistical averages based on the long-time simulation of molecular dynamics trajectories. In some cases, this allows us to significantlyâ€¦ (More)

- FranÃ§ois Castella, Philippe Chartier, Erwan Faou
- SIAM J. Numerical Analysis
- 2009

In this paper, we are concerned with the numerical solution of highly-oscillatory Hamiltonian systems with a stiff linear part. We construct an averaged system whose solution remains close to theâ€¦ (More)

- Erwan Faou, Tony LeliÃ¨vre
- Math. Comput.
- 2009

We consider stochastic differential equations on the whole Euclidean space possessing a scalar invariant along their solutions. The stochastic dynamics therefore evolves on a hypersurface of theâ€¦ (More)

- Nicolas Crouseilles, Lukas Einkemmer, Erwan Faou
- J. Comput. Physics
- 2015

â€” A new splitting is proposed for solving the Vlasovâ€“Maxwell system. This splitting is based on a decomposition of the Hamiltonian of the Vlasovâ€“Maxwell system and allows for the construction ofâ€¦ (More)

- Erwan Faou, BenÃ´Ä±t GrÃ©bert
- 2009

We consider a general class of infinite dimensional reversible differential systems. Assuming a non resonance condition on the linear frequencies, we construct for such systems almost invariantâ€¦ (More)