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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…