asymmetrically-weighted basis 1galerkin method 1hermite spectral method 1stability analysis 1vlasov-poisson 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.NA2026
Convergence of Galerkin approximations based on asymmetrically-weighted Hermite functions for the Vlasov-Poisson system
Ruiyang Dai
The convergence of Galerkin approximations based on asymmetrically-weighted (AW) Hermite functions, applied to the Vlasov-Poisson (VP) system, is analyzed in this work. The VP syst…
math.NA2026
Galerkin method for asymmetrically-weighted Hermite approximations applied to the Vlasov-Poisson system
Ruiyang Dai
The paper proposes a Galerkin spectral method using asymmetrically-weighted Hermite bases for the Vlasov‑Poisson system, providing L2 stability and comparable computational cost to…
math.NA2024
On the quadratic stability of asymmetric Hermite basis with application to plasma physics with oscillating electric field
Ruiyang Dai, Bruno Després
We analyze why the discretization of linear transport with asymmetric Hermite basis functions can be instable in quadratic norm. The main reason is that the finite truncation of th…