Computer simulation using particles
Computer simulation using particles
The convergence analysis of fully discretized particle methods for solving Vlasov-Poisson systems
SIAM Journal on Numerical Analysis
The semi-Lagrangian method for the numerical resolution of the Vlasov equation
Journal of Computational Physics
Conservative numerical schemes for the Vlasov equation
Journal of Computational Physics
Plasma Physics Via Computer
Convergence of a Semi-Lagrangian Scheme for the One-Dimensional Vlasov--Poisson System
SIAM Journal on Numerical Analysis
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The one-dimensional Vlasov-Poisson system is considered and a particle method is developed to approximate solutions without compact support which tend to a fixed background of charge as |x|-~. Such a system of equations can be used to model kinetic phenomena occurring in plasma physics. A localized particle method is constructed and implemented using the fact that solutions to the Vlasov-Poisson system propagate at finite speeds. Finally, the numerical method is utilized to ascertain information regarding the time asymptotics of the generated electrostatic field.