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On the convergence of a semi-Lagrangian scheme for the BGK model of the Boltzmann equation
Giovanni Russo,Piero Santagati,Seok-Bae Yun 한국산업응용수학회 2009 한국산업응용수학회 학술대회 논문집 Vol.2009 No.5
Recently, the first and second authors proposed a semi-Lagrangian scheme for the BGK model of the Boltzmann equation. In this talk, we show that the approximate distribution function of the scheme converges to the smooth solution of the BGK model. We also derive an explicit convergence estimate.