114 citations · 451 across the 22 of their papers we have counts for
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Hamiltonian interpolation of splitting approximations for nonlinear PDEs
Erwan Faou, Benoit Grebert
We consider a wide class of semi linear Hamiltonian partial differential equa- tions and their approximation by time splitting methods. We assume that the nonlinearity is polynomia…
Resonances in long time integration of semi linear Hamiltonian PDEs
Erwan Faou, Benoit Grebert
We consider a class of Hamiltonian PDEs that can be split into a linear unbounded operator and a regular non linear part, and we analyze their numerical discretizations by symplect…
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…
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…