Instability of the filtering method for Vlasov's equation
type: Item
instance of: scholarly article
title: Instability of the filtering method for Vlasov's equation
zbMATH Open document ID: 0994.76035
author: H. Figua
author: François Bouchut
author: Eric Fijalkow
author: Marc R. Feix
published in: Journal of Computational Physics
publication date: 2000-11-23T00:00:00Z
review text: The authors study the phase space filamentation of distribution function by using numerical methods for non-stationary Vlasov-Poisson system which are based on splitting schemes. The one-dimensional nonstationary problem is considered, and stability properties are investigated for Vlasov-Poisson system and for the equation for smoothed distribution function. It is shown that the solution of the equation for smoothed distribution function is very sensitive to perturbations. The authors also prove the stability of linear version of Vlasov equation when only free non-interacting particles are considered. In the present method, the possibility of the use of Fourier transform is the main requirement for solving Cauchy problem numerically.
reviewed by: Oleg A. Sinkevich
Mathematics Subject Classification ID: 76E25
Mathematics Subject Classification ID: 76X05
Mathematics Subject Classification ID: 76M22
zbMATH DE Number: 1443379
zbMATH Keywords: filtering method
zbMATH Keywords: phase space filamentation
zbMATH Keywords: distribution function
zbMATH Keywords: non-stationary Vlasov-Poisson system
zbMATH Keywords: splitting schemes
zbMATH Keywords: stability
zbMATH Keywords: smoothed distribution function
zbMATH Keywords: Vlasov equation
zbMATH Keywords: Fourier transform
zbMATH Keywords: Cauchy problem
describes a project that uses: VLFF
MaRDI profile type: Publication
full work available at URL: jcph.2000.6423
OpenAlex ID: W2030284206
Wikidata QID: Q57964802
cites work: Comparison of Numerical Solutions of the Vlasov Equation with Particle Simulations of Collisionless Plasmas
cites work: Numerical integration methods of the Vlasov equation
cites work: A numerical method based on the Fourier-Fourier transform approach for modeling 1-D electron plasma evolution
cites work: Integration of Vlasov equation by a fast Fourier Eulerian code
cites work: A method for overcoming the velocity space filamentation problem in collisionless plasma model solutions
cites work: A splitting algorithm for Vlasov simulation with filamentation filtration
cites work: A novel technique for the numerical simulation of hot collision-free plasma; Vlasov hybrid simulation
DOI: 10.1006/JCPH.2000.6423
description: scientific article; zbMATH DE number 1443379