Abdelmalik, M. R. A.; Cai, Z.; Pichard, T. On the renormalization maps for the \(\varphi\)-divergence moment closures applied in radiative transfer. (English) Zbl 07803545 J. Comput. Theor. Transp. 52, No. 6, 399-428 (2023). MSC: 82-XX PDFBibTeX XMLCite \textit{M. R. A. Abdelmalik} et al., J. Comput. Theor. Transp. 52, No. 6, 399--428 (2023; Zbl 07803545) Full Text: DOI arXiv
Xiao, Tianbai; Frank, Martin RelaxNet: a structure-preserving neural network to approximate the Boltzmann collision operator. (English) Zbl 07715246 J. Comput. Phys. 490, Article ID 112317, 31 p. (2023). MSC: 76Pxx 82Cxx 65Mxx PDFBibTeX XMLCite \textit{T. Xiao} and \textit{M. Frank}, J. Comput. Phys. 490, Article ID 112317, 31 p. (2023; Zbl 07715246) Full Text: DOI arXiv
Alldredge, Graham W.; Frank, Martin; Giesselmann, Jan On the convergence of the regularized entropy-based moment method for kinetic equations. (English) Zbl 1508.65122 SMAI J. Comput. Math. 9, 1-29 (2023). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65L06 65D32 65M12 65M15 49N15 82C40 PDFBibTeX XMLCite \textit{G. W. Alldredge} et al., SMAI J. Comput. Math. 9, 1--29 (2023; Zbl 1508.65122) Full Text: DOI arXiv
Alldredge, Graham; Frank, Martin; Kusch, Jonas; McClarren, Ryan A realizable filtered intrusive polynomial moment method. (English) Zbl 1524.65504 J. Comput. Appl. Math. 407, Article ID 114055, 20 p. (2022). MSC: 65M60 35L65 65C30 35R60 82C40 35Q84 35B45 35Q31 35B65 35B05 65M06 65N30 65K10 62M20 PDFBibTeX XMLCite \textit{G. Alldredge} et al., J. Comput. Appl. Math. 407, Article ID 114055, 20 p. (2022; Zbl 1524.65504) Full Text: DOI arXiv Link
Van Cappellen, Maxim; Vetrano, Maria Rosaria; Laboureur, Delphine Higher order hyperbolic quadrature method of moments for solving kinetic equations. (English) Zbl 07513844 J. Comput. Phys. 436, Article ID 110280, 22 p. (2021). MSC: 82Cxx 76Mxx 65Dxx PDFBibTeX XMLCite \textit{M. Van Cappellen} et al., J. Comput. Phys. 436, Article ID 110280, 22 p. (2021; Zbl 07513844) Full Text: DOI
Sarna, Neeraj A positive and stable L2-minimization based moment method for the Boltzmann equation of gas dynamics. (English) Zbl 07512374 J. Comput. Phys. 440, Article ID 110428, 26 p. (2021). MSC: 76Pxx 82Cxx 65Mxx PDFBibTeX XMLCite \textit{N. Sarna}, J. Comput. Phys. 440, Article ID 110428, 26 p. (2021; Zbl 07512374) Full Text: DOI arXiv
Leibner, Tobias; Ohlberger, Mario A new entropy-variable-based discretization method for minimum entropy moment approximations of linear kinetic equations. (English) Zbl 07477255 ESAIM, Math. Model. Numer. Anal. 55, No. 6, 2567-2608 (2021). MSC: 65-XX 35L40 35F61 65M08 65M70 82C70 PDFBibTeX XMLCite \textit{T. Leibner} and \textit{M. Ohlberger}, ESAIM, Math. Model. Numer. Anal. 55, No. 6, 2567--2608 (2021; Zbl 07477255) Full Text: DOI arXiv
Frank, Martin; Kusch, Jonas; Wolters, Jannick Entropy-based methods for uncertainty quantification of hyperbolic conservation laws. (English) Zbl 07451984 Muñoz-Ruiz, María Luz (ed.) et al., Recent advances in numerical methods for hyperbolic PDE systems. NumHyp 2019. Selected papers based on the presentations at the 6th international conference on numerical methods for hyperbolic problems, Málaga, Spain, June 17–21, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 28, 29-56 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Frank} et al., SEMA SIMAI Springer Ser. 28, 29--56 (2021; Zbl 07451984) Full Text: DOI
Böhmer, Niclas; Torrilhon, Manuel Entropic quadrature for moment approximations of the Boltzmann-BGK equation. (English) Zbl 1453.76061 J. Comput. Phys. 401, Article ID 108992, 25 p. (2020). MSC: 76M10 76M12 76P05 PDFBibTeX XMLCite \textit{N. Böhmer} and \textit{M. Torrilhon}, J. Comput. Phys. 401, Article ID 108992, 25 p. (2020; Zbl 1453.76061) Full Text: DOI