90 citations · 370 across the 42 of their papers we have counts for
Showing 2009 · math.NAShow all
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math.NA2009★ 4 cited
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…
math.NA2009★ 4 cited
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…
math.NA2009
Modified energy for split-step methods applied to the linear Schrödinger equation
Arnaud Debussche, Erwan Faou
We consider the linear Schrödinger equation and its discretization by split-step methods where the part corresponding to the Laplace operator is approximated by the midpoint rule.…