An asymptotic preserving discontinuous Galerkin method for a linear Boltzmann semiconductor model. (English) Zbl 07852677
Reviewer: Jan Giesselmann (Darmstadt)
Found 16 Documents (Results 1–16)
Hybrid kinetic/fluid numerical method for the Vlasov-BGK equation in the diffusive scaling. (English) Zbl 1519.65027
Accelerated simulation of Boltzmann-BGK equations near the diffusive limit with asymptotic-preserving multilevel Monte Carlo. (English) Zbl 1521.65008
On deterministic numerical methods for the quantum Boltzmann-nordheim equation. I. Spectrally accurate approximations, Bose-Einstein condensation, Fermi-Dirac saturation. (English) Zbl 07696970
A multilevel Monte Carlo method for asymptotic-preserving particle schemes in the diffusive limit. (English) Zbl 1469.65015
A multilevel Monte Carlo asymptotic-preserving particle method for kinetic equations in the diffusion limit. (English) Zbl 07240105
Tuffin, Bruno (ed.) et al., Monte Carlo and quasi-Monte Carlo methods. MCQMC 2018. Proceedings of the 13th international conference on Monte Carlo and quasi-Monte Carlo methods in scientific computing, Rennes, France, July 1–6, 2018. Cham: Springer. Springer Proc. Math. Stat. 324, 383-402 (2020).
MSC:
65C05
Projective and telescopic projective integration for the nonlinear BGK and Boltzmann equations. (English) Zbl 1434.82034
Reviewer: Guy Jumarie (Montréal)
A stochastic asymptotic-preserving scheme for the bipolar semiconductor Boltzmann-Poisson system with random inputs and diffusive scalings. (English) Zbl 1416.65390
Telescopic projective integration for linear kinetic equations with multiple relaxation times. (English) Zbl 1404.65133
A high-order asymptotic-preserving scheme for kinetic equations using projective integration. (English) Zbl 1336.65147
SIAM J. Numer. Anal. 54, No. 1, 1-33 (2016); erratum ibid. 56, No. 2, 1183-1185 (2018).
Asymptotic preserving schemes for the Wigner-Poisson-BGK equations in the diffusion limit. (English) Zbl 1348.35209
On the asymptotic preserving property of the unified gas kinetic scheme for the diffusion limit of linear kinetic models. (English) Zbl 1349.76787
An asymptotic preserving scheme for the Kac model of the Boltzmann equation in the diffusion limit. (English) Zbl 1234.76041
Uniformly stable numerical schemes for the Boltzmann equation preserving the compressible Navier-Stokes asymptotics. (English) Zbl 1317.76058
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