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• W1995125414 abstract "Using the main ideas of Tanaka, the measure-solution ${P_t}_t$ of a $3$-dimensional spatially homogeneous Boltzmann equation of Maxwellian molecules without cutoff is related to a Poisson-driven stochastic differential equation. Using this tool, the convergence to ${P_t}_t$ of solutions ${P^l_t}_t$ of approximating Boltzmann equations with cutoff is proved. Then, a result of Graham-Méléard is used and allows us to approximate ${P^l_t}_t$ with the empirical measure ${mu ^{l,n}_t}_t$ of an easily simulable interacting particle system. Precise rates of convergence are given. A numerical study lies at the end of the paper." @default.
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• W1995125414 date "2001-10-25" @default.
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• W1995125414 title "A stochastic particle numerical method for 3D Boltzmann equations without cutoff" @default.
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• W1995125414 doi "https://doi.org/10.1090/s0025-5718-01-01339-4" @default.
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