Arbitrary-order time-accurate semi-Lagrangian spectral approximations of the Vlasov-Poisson system
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Publication:2214657
DOI10.1016/j.jcp.2019.01.020zbMath1451.65155arXiv1803.09305OpenAlexW2795198473WikidataQ128425063 ScholiaQ128425063MaRDI QIDQ2214657
Lorella Fatone, Daniele Funaro, Gianmarco Manzini
Publication date: 10 December 2020
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.09305
Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Applications to the sciences (65Z05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Vlasov equations (35Q83)
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On the stability of conservative discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system ⋮ A decision-making machine learning approach in Hermite spectral approximations of partial differential equations ⋮ A semi-Lagrangian meshfree Galerkin method for convection-dominated partial differential equations ⋮ The multi-dimensional Hermite-discontinuous Galerkin method for the Vlasov-Maxwell equations ⋮ Physics-based adaptivity of a spectral method for the Vlasov-Poisson equations based on the asymmetrically-weighted Hermite expansion in velocity space ⋮ A conservative semi-Lagrangian finite volume method for convection-diffusion problems on unstructured grids ⋮ A semi-Lagrangian spectral method for the Vlasov-Poisson system based on Fourier, Legendre and Hermite polynomials ⋮ On the use of Hermite functions for the Vlasov-Poisson system
Uses Software
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