The paper proves convergence of a non-splitting Eulerian finite-difference scheme for the Vlasov-Poisson-BGK model, yielding error bounds in weighted L^∞ for the distribution and L^∞ for the electric field under truncated velocity domain with Neumann boundaries.
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Convergence of an Eulerian scheme for the Vlasov-Poisson-BGK model
The paper proves convergence of a non-splitting Eulerian finite-difference scheme for the Vlasov-Poisson-BGK model, yielding error bounds in weighted L^∞ for the distribution and L^∞ for the electric field under truncated velocity domain with Neumann boundaries.