64 citations · 312 across the 24 of their papers we have counts for
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math.AP2017★ 1 cited
Stability of periodic waves in Hamiltonian PDEs of either long wavelength or small amplitude
Sylvie Benzoni-Gavage, Colin Mietka, Luis M. Rodrigues
Stability criteria have been derived and investigated in the last decades for many kinds of periodic traveling wave solutions to Hamiltonian PDEs. They turned out to depend in a cr…
math.NA2017
Asymptotically preserving particle-in-cell methods for inhomogenous strongly magnetized plasmas
Francis Filbet, Luis Rodrigues
We propose a class of Particle-In-Cell (PIC) methods for the Vlasov-Poisson system with a strong and inhomogeneous external magnetic field with fixed direction, where we focus on t…