On the convergence of the Fourier-Hermite transformation method for the Vlasov equation with an artificial collision term

DOI10.1016/0022-247X(77)90176-7zbMath0372.65047MaRDI QIDQ1244043

Herbert Gajewski, Klaus Zacharias

Publication date: 1977

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Magnetohydrodynamics and electrohydrodynamics (76W05) Applications to the sciences (65Z05)

Related Items (5)

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 ⋮ Arbitrary-order time-accurate semi-Lagrangian spectral approximations of the Vlasov-Poisson system ⋮ A semi-Lagrangian spectral method for the Vlasov-Poisson system based on Fourier, Legendre and Hermite polynomials ⋮ Stability and conservation properties of Hermite-based approximations of the Vlasov-Poisson system

Cites Work

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• On continuity of functions with values in various Banach spaces
• Numerical integration methods of the Vlasov equation
• Plasma Oscillations with Diffusion in Velocity Space
• Zur Begründung des GALERKIN-Verfahrens für die nichtlineare VLASOV-Gleichung
• Effects of Collisions on Landau Damping
• Secular and Nonsecular Behavior for the Cold Plasma Equations
• Stochastic Problems in Physics and Astronomy

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