241 citations
- Université de RennesFR519 papers
- Centre National de la Recherche ScientifiqueFR335 papers
- Université Rennes 1FR189 papers
- Institut national de recherche en sciences et technologies du numériqueFR81 papers
- École Normale Supérieure de RennesFR38 papers
- Institut National des Sciences Appliquées de RennesFR36 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR26 papers
- Laboratoire de Mathématiques Jean LerayFR25 papers
- Institut de Mathématiques de ToulouseFR24 papers
- Institut Universitaire de FranceFR22 papers
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- Centre Inria de l'Université de RennesFR20 papers
Showing 2008 · math.NAShow all
3 papers · 2 filters
math.NA2008★ 5 cited
Birkhoff normal form and splitting methods for semi linear Hamiltonian PDEs. Part I: Finite dimensional discretization
Erwan Faou, Benoit Grebert, Eric Paturel
We consider {\em discretized} Hamiltonian PDEs associated with a Hamiltonian function that can be split into a linear unbounded operator and a regular nonlinear part. We consider s…
math.NA2008★ 2 cited
Birkhoff normal form and splitting methods for semi linear Hamiltonian PDEs. Part II: Abstract splitting
Erwan Faou, Benoit Grebert, Eric Paturel
We consider Hamiltonian PDEs that can be split into a linear unbounded operator and a regular non linear part. We consider abstract splitting methods associated with this decomposi…
math.NA2008★ 1 cited
Weak approximation of stochastic partial differential equations: the non linear case
Arnaud Debussche
We study the error of the Euler scheme applied to a stochastic partial differential equation. We prove that as it is often the case, the weak order of convergence is twice the stro…