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• W1994187801 abstract "A convergence theory is developed for simulation methods when particles are initially asymptotically distributed with respect to the initial data. Previous studies have focused on a type of uniform distribution of particles initially, whereby a mesh is superimposed on phase space and a particle with appropriate weight is inserted into each cell. This analysis entails fundamentally extending the existence theory of E. Horst [Math. Methods Appl. Sci., 3 (1981), pp. 229–248], whereby the existence of unique solutions to Vlasov–Poisson systems was shown as the limit of solutions to mollified problems. Numerical results are given which compare various types of initial particle distributions." @default.
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• W1994187801 date "1991-12-01" @default.
• W1994187801 modified "2023-10-18" @default.
• W1994187801 title "On Simulation Methods for Vlasov–Poisson Systems with Particles Initially Asymptotically Distributed" @default.
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• W1994187801 doi "https://doi.org/10.1137/0728080" @default.
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