Sheng, Qiwei; Hauck, Cory D. Uniform convergence of an upwind discontinuous Galerkin method for solving scaled discrete-ordinate radiative transfer equations with isotropic scattering. (English) Zbl 1491.65150 Math. Comput. 90, No. 332, 2645-2669 (2021). MSC: 65N30 65N12 35B40 35B45 35L40 35R09 74J20 80A21 85A25 PDFBibTeX XMLCite \textit{Q. Sheng} and \textit{C. D. Hauck}, Math. Comput. 90, No. 332, 2645--2669 (2021; Zbl 1491.65150) Full Text: DOI arXiv
Heningburg, Vincent; Hauck, Cory D. A hybrid finite-volume, discontinuous Galerkin discretization for the radiative transport equation. (English) Zbl 1453.82099 Multiscale Model. Simul. 19, No. 1, 1-24 (2021). MSC: 82D75 65L60 65M08 35B40 76R50 PDFBibTeX XMLCite \textit{V. Heningburg} and \textit{C. D. Hauck}, Multiscale Model. Simul. 19, No. 1, 1--24 (2021; Zbl 1453.82099) Full Text: DOI
Laiu, M. Paul; Frank, Martin; Hauck, Cory D. A positive asymptotic-preserving scheme for linear kinetic transport equations. (English) Zbl 1447.65025 SIAM J. Sci. Comput. 41, No. 3, A1500-A1526 (2019). Reviewer: Yajuan Sun (Beijing) MSC: 65M06 35B09 35L40 41A60 65M70 82C70 82D75 35B40 35Q49 35P25 PDFBibTeX XMLCite \textit{M. P. Laiu} et al., SIAM J. Sci. Comput. 41, No. 3, A1500--A1526 (2019; Zbl 1447.65025) Full Text: DOI arXiv
Hauck, Cory; Heningburg, Vincent Filtered discrete ordinates equations for radiative transport. (English) Zbl 1418.65129 J. Sci. Comput. 80, No. 1, 614-648 (2019). MSC: 65M60 45K05 65R20 82C70 PDFBibTeX XMLCite \textit{C. Hauck} and \textit{V. Heningburg}, J. Sci. Comput. 80, No. 1, 614--648 (2019; Zbl 1418.65129) Full Text: DOI
Chen, Zheng; Hauck, Cory D. Multiscale convergence properties for spectral approximations of a model kinetic equation. (English) Zbl 1474.65382 Math. Comput. 88, No. 319, 2257-2293 (2019). MSC: 65M70 65M12 65M15 65M22 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{C. D. Hauck}, Math. Comput. 88, No. 319, 2257--2293 (2019; Zbl 1474.65382) Full Text: DOI arXiv
Laiu, M. Paul; Hauck, Cory D. Positivity limiters for filtered spectral approximations of linear kinetic transport equations. (English) Zbl 1462.35324 J. Sci. Comput. 78, No. 2, 918-950 (2019). MSC: 35Q49 35L02 35B09 41A10 41A25 41A36 42B37 65M70 65M15 82C70 82D75 PDFBibTeX XMLCite \textit{M. P. Laiu} and \textit{C. D. Hauck}, J. Sci. Comput. 78, No. 2, 918--950 (2019; Zbl 1462.35324) Full Text: DOI
Laiu, M. Paul; Hauck, Cory D.; McClarren, Ryan G.; O’Leary, Dianne P.; Tits, André L. Positive filtered \(\mathrm P_N\) moment closures for linear kinetic equations. (English) Zbl 1352.42032 SIAM J. Numer. Anal. 54, No. 6, 3214-3238 (2016). MSC: 42B37 35L02 65M15 41A10 41A29 90C20 82C70 82D75 PDFBibTeX XMLCite \textit{M. P. Laiu} et al., SIAM J. Numer. Anal. 54, No. 6, 3214--3238 (2016; Zbl 1352.42032) Full Text: DOI
Vikas, V.; Hauck, C. D.; Wang, Z. J.; Fox, R. O. Radiation transport modeling using extended quadrature method of moments. (English) Zbl 1349.78080 J. Comput. Phys. 246, 221-241 (2013). MSC: 78M12 65M08 PDFBibTeX XMLCite \textit{V. Vikas} et al., J. Comput. Phys. 246, 221--241 (2013; Zbl 1349.78080) Full Text: DOI
Garrett, C. Kristopher; Hauck, Cory D. A comparison of moment closures for linear kinetic transport equations: the line source benchmark. (English) Zbl 1302.82088 Transp. Theory Stat. Phys. 42, No. 6-7, 203-235 (2013); corrigendum J. Comput. Theor. Transp. 44, No. 4-5, 231-253 (2015). MSC: 82C40 82-08 PDFBibTeX XMLCite \textit{C. K. Garrett} and \textit{C. D. Hauck}, Transp. Theory Stat. Phys. 42, No. 6--7, 203--235 (2013; Zbl 1302.82088) Full Text: DOI
McClarren, Ryan G.; Hauck, Cory D. Robust and accurate filtered spherical harmonics expansions for radiative transfer. (English) Zbl 1193.82043 J. Comput. Phys. 229, No. 16, 5597-5614 (2010). MSC: 82C99 PDFBibTeX XMLCite \textit{R. G. McClarren} and \textit{C. D. Hauck}, J. Comput. Phys. 229, No. 16, 5597--5614 (2010; Zbl 1193.82043) Full Text: DOI