Yang, Tianjie; Yuan, Guangwei Global existence for a class of non-equilibrium reaction-diffusion systems with flux limitation. (English) Zbl 1518.35007 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 233, Article ID 113305, 16 p. (2023). MSC: 35A01 35A09 35K51 35K57 PDFBibTeX XMLCite \textit{T. Yang} and \textit{G. Yuan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 233, Article ID 113305, 16 p. (2023; Zbl 1518.35007) Full Text: DOI
Gong, Yujie; Yuan, Guangwei; Cui, Xia Existence of a fully implicit solution with second-order time evolution for strong nonlinear diffusion equation. (English) Zbl 1471.65101 Appl. Math. Lett. 117, Article ID 107091, 7 p. (2021). MSC: 65M06 PDFBibTeX XMLCite \textit{Y. Gong} et al., Appl. Math. Lett. 117, Article ID 107091, 7 p. (2021; Zbl 1471.65101) Full Text: DOI
Zhang, Yanmei; Cui, Xia; Yuan, Guangwei Nonlinear iteration acceleration solution for equilibrium radiation diffusion equation. (English) Zbl 1443.65152 ESAIM, Math. Model. Numer. Anal. 54, No. 5, 1465-1490 (2020). MSC: 65M06 35K20 35K55 65M12 65M22 PDFBibTeX XMLCite \textit{Y. Zhang} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 5, 1465--1490 (2020; Zbl 1443.65152) Full Text: DOI
Zhao, Fei; Cui, Xia; Yuan, Guangwei Iterative acceleration methods with second-order time accuracy for nonlinear diffusion equations. (English) Zbl 1436.65117 Adv. Comput. Math. 46, No. 1, Paper No. 7, 34 p. (2020). MSC: 65M06 65B05 65M12 65H10 PDFBibTeX XMLCite \textit{F. Zhao} et al., Adv. Comput. Math. 46, No. 1, Paper No. 7, 34 p. (2020; Zbl 1436.65117) Full Text: DOI
Cui, Xia; Shen, Zhi-Jun; Yuan, Guang-Wei Asymptotic-preserving discrete schemes for non-equilibrium radiation diffusion problem in spherical and cylindrical symmetrical geometries. (English) Zbl 1488.65334 Commun. Comput. Phys. 23, No. 1, 198-229 (2018). MSC: 65M08 65M06 65N08 80M35 65M12 35B06 85A25 PDFBibTeX XMLCite \textit{X. Cui} et al., Commun. Comput. Phys. 23, No. 1, 198--229 (2018; Zbl 1488.65334) Full Text: DOI
Cui, Xia; Yuan, Guang-wei; Shen, Zhi-jun Asymptotic analysis of discrete schemes for non-equilibrium radiation diffusion. (English) Zbl 1349.65368 J. Comput. Phys. 313, 415-429 (2016). MSC: 65M08 PDFBibTeX XMLCite \textit{X. Cui} et al., J. Comput. Phys. 313, 415--429 (2016; Zbl 1349.65368) Full Text: DOI
Yao, Yanzhong; Yuan, Guangwei Parallelization methods for solving three-temperature radiation-hydrodynamic problems. (English) Zbl 1347.65205 Discrete Contin. Dyn. Syst., Ser. B 21, No. 5, 1651-1669 (2016). MSC: 65Y05 65M08 65M55 76R50 PDFBibTeX XMLCite \textit{Y. Yao} and \textit{G. Yuan}, Discrete Contin. Dyn. Syst., Ser. B 21, No. 5, 1651--1669 (2016; Zbl 1347.65205) Full Text: DOI