Guo, Wei; Chen, Ziming; Qian, Shouguo; Li, Gang; Niu, Qiang A new well-balanced finite volume CWENO scheme for shallow water equations over bottom topography. (English) Zbl 07787032 Adv. Appl. Math. Mech. 15, No. 6, 1515-1539 (2023). MSC: 74S10 PDFBibTeX XMLCite \textit{W. Guo} et al., Adv. Appl. Math. Mech. 15, No. 6, 1515--1539 (2023; Zbl 07787032) Full Text: DOI
Li, Jiaojiao; Li, Gang; Qian, Shouguo; Gao, Jinmei High-order well-balanced finite volume WENO schemes with conservative variables decomposition for shallow water equations. (English) Zbl 1488.74132 Adv. Appl. Math. Mech. 13, No. 4, 827-849 (2021). MSC: 74S05 76B10 PDFBibTeX XMLCite \textit{J. Li} et al., Adv. Appl. Math. Mech. 13, No. 4, 827--849 (2021; Zbl 1488.74132) Full Text: DOI
Li, Gang; Li, Jiaojiao; Qian, Shouguo; Gao, Jinmei A well-balanced ADER discontinuous Galerkin method based on differential transformation procedure for shallow water equations. (English) Zbl 1465.76063 Appl. Math. Comput. 395, Article ID 125848, 20 p. (2021). MSC: 76M12 76B99 PDFBibTeX XMLCite \textit{G. Li} et al., Appl. Math. Comput. 395, Article ID 125848, 20 p. (2021; Zbl 1465.76063) Full Text: DOI
Li, Jiaojiao; Li, Gang; Qian, Shouguo; Gao, Jinmei; Niu, Qiang A high-order well-balanced discontinuous Galerkin method based on the hydrostatic reconstruction for the Ripa model. (English) Zbl 1488.74133 Adv. Appl. Math. Mech. 12, No. 6, 1416-1437 (2020). MSC: 74S05 PDFBibTeX XMLCite \textit{J. Li} et al., Adv. Appl. Math. Mech. 12, No. 6, 1416--1437 (2020; Zbl 1488.74133) Full Text: DOI
Wang, Xiufang; Li, Gang; Qian, Shouguo; Li, Jiaojiao; Wang, Zhen High order well-balanced finite difference WENO schemes for shallow water flows along channels with irregular geometry. (English) Zbl 1433.76120 Appl. Math. Comput. 363, Article ID 124587, 16 p. (2019). MSC: 76M20 65M06 76B15 PDFBibTeX XMLCite \textit{X. Wang} et al., Appl. Math. Comput. 363, Article ID 124587, 16 p. (2019; Zbl 1433.76120) Full Text: DOI
Qian, Shouguo; Shao, Fengjing; Li, Gang High order well-balanced discontinuous Galerkin methods for shallow water flow under temperature fields. (English) Zbl 1413.65373 Comput. Appl. Math. 37, No. 5, 5775-5794 (2018). MSC: 65M60 76B15 35Q35 PDFBibTeX XMLCite \textit{S. Qian} et al., Comput. Appl. Math. 37, No. 5, 5775--5794 (2018; Zbl 1413.65373) Full Text: DOI