DeCaria, Victor P.; Hauck, Cory D.; Schnake, Stefan R. An asymptotic preserving discontinuous Galerkin method for a linear Boltzmann semiconductor model. (English) Zbl 07852677 SIAM J. Numer. Anal. 62, No. 3, 1067-1097 (2024). Reviewer: Jan Giesselmann (Darmstadt) MSC: 65M60 65M12 65M15 35K10 35B40 82C40 82D37 35Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Laidin, Tino Hybrid kinetic/fluid numerical method for the Vlasov-BGK equation in the diffusive scaling. (English) Zbl 1519.65027 Kinet. Relat. Models 16, No. 6, 913-947 (2023). MSC: 65M08 82M12 35B40 65M55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Løvbak, Emil; Samaey, Giovanni Accelerated simulation of Boltzmann-BGK equations near the diffusive limit with asymptotic-preserving multilevel Monte Carlo. (English) Zbl 1521.65008 SIAM J. Sci. Comput. 45, No. 4, A1862-A1889 (2023). MSC: 65C05 65C35 65M75 35Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mouton, Alexandre; Rey, Thomas On deterministic numerical methods for the quantum Boltzmann-nordheim equation. I. Spectrally accurate approximations, Bose-Einstein condensation, Fermi-Dirac saturation. (English) Zbl 07696970 J. Comput. Phys. 488, Article ID 112197, 46 p. (2023). MSC: 82Cxx 35Qxx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Melis, Ward; Rey, Thomas; Samaey, Giovanni Projective and telescopic projective integration for the nonlinear BGK and Boltzmann equations. (English) Zbl 1434.82034 SMAI J. Comput. Math. 5, 53-88 (2019). Reviewer: Guy Jumarie (Montréal) MSC: 82B40 76P05 65M70 65M08 65M12 35Q20 76N15 65M06 82M22 82M12 82M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Liu A stochastic asymptotic-preserving scheme for the bipolar semiconductor Boltzmann-Poisson system with random inputs and diffusive scalings. (English) Zbl 1416.65390 J. Comput. Phys. 376, 634-659 (2019). MSC: 65M75 65M60 35R60 82D37 65M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Melis, Ward; Samaey, Giovanni Telescopic projective integration for linear kinetic equations with multiple relaxation times. (English) Zbl 1404.65133 J. Sci. Comput. 76, No. 2, 697-726 (2018). MSC: 65M20 65L15 35Q20 65L04 76P05 65L06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Crouseilles, Nicolas; Manfredi, Giovanni Asymptotic preserving schemes for the Wigner-Poisson-BGK equations in the diffusion limit. (English) Zbl 1348.35209 Comput. Phys. Commun. 185, No. 2, 448-458 (2014). MSC: 35Q40 65M06 35B35 82D37 × Cite Format Result Cite Review PDF Full Text: DOI
Bennoune, Mounir; Lemou, Mohammed; Mieussens, Luc Uniformly stable numerical schemes for the Boltzmann equation preserving the compressible Navier-Stokes asymptotics. (English) Zbl 1317.76058 J. Comput. Phys. 227, No. 8, 3781-3803 (2008). MSC: 76M25 76P05 65M06 35Q20 82C80 × Cite Format Result Cite Review PDF Full Text: DOI