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math.NA2026
An Adaptive Fourier Spectral Method for the Vlasov-Poisson system
Seung Yeon Cho, Giovanni Russo
Numerical simulation of the Vlasov-Poisson system faces fundamental challenges due to phase-space filamentation. Standard spectral methods rely on artificial filtering to suppress…
math.NA2026
Convergence of an Eulerian scheme for the Vlasov-Poisson-BGK model
Seung Yeon Cho, Sungsu Park, Seok-Bae Yun
The Vlasov-Poisson-BGK (VPBGK) model is a kinetic model for describing the dynamics of collisional plasmas. Although various numerical schemes have been developed for it, a corresp…