A generalized Fourier-Hermite method for the Vlasov-Poisson system

DOI10.1007/s10543-021-00853-4zbMath1487.65167OpenAlexW3142333667MaRDI QIDQ2045170

Anna Yurova, Katharina Kormann

Publication date: 12 August 2021

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-021-00853-4

zbMATH Keywords

Hermite functionsVlasov-Poissonspectral Galerkin

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with optics and electromagnetic theory (35Q60) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Vlasov equations (35Q83)

Related Items (2)

Physics-based adaptivity of a spectral method for the Vlasov-Poisson equations based on the asymmetrically-weighted Hermite expansion in velocity space ⋮ On the Convergence of Discontinuous Galerkin/Hermite Spectral Methods for the Vlasov–Poisson System

Uses Software

• SpectralPlasmaSolver

Cites Work

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• Some Integrals Involving Hermite Polynomials

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