Chen, Aimin; Li, Maojun A modified central discontinuous Galerkin method with positivity-preserving and well-balanced properties for the one-dimensional nonlinear shallow water equations. (English) Zbl 1442.35326 J. Comput. Appl. Math. 345, 374-387 (2019). MSC: 35Q35 65M60 PDFBibTeX XMLCite \textit{A. Chen} and \textit{M. Li}, J. Comput. Appl. Math. 345, 374--387 (2019; Zbl 1442.35326) Full Text: DOI
Li, Gang; Song, Lina; Gao, Jinmei High order well-balanced discontinuous Galerkin methods based on hydrostatic reconstruction for shallow water equations. (English) Zbl 1432.76163 J. Comput. Appl. Math. 340, 546-560 (2018). MSC: 76M10 65M60 76B15 PDFBibTeX XMLCite \textit{G. Li} et al., J. Comput. Appl. Math. 340, 546--560 (2018; Zbl 1432.76163) Full Text: DOI
Boscarino, S.; Pareschi, L. On the asymptotic properties of IMEX Runge-Kutta schemes for hyperbolic balance laws. (English) Zbl 1375.65119 J. Comput. Appl. Math. 316, 60-73 (2017). MSC: 65M20 35L65 65L06 65L04 PDFBibTeX XMLCite \textit{S. Boscarino} and \textit{L. Pareschi}, J. Comput. Appl. Math. 316, 60--73 (2017; Zbl 1375.65119) Full Text: DOI
Xing, Yulong High order finite volume WENO schemes for the shallow water flows through channels with irregular geometry. (English) Zbl 1382.76190 J. Comput. Appl. Math. 299, 229-244 (2016). MSC: 76M12 65M08 76B15 PDFBibTeX XMLCite \textit{Y. Xing}, J. Comput. Appl. Math. 299, 229--244 (2016; Zbl 1382.76190) Full Text: DOI
Capilla, M. T.; Balaguer-Beser, A. A new well-balanced non-oscillatory central scheme for the shallow water equations on rectangular meshes. (English) Zbl 1290.76015 J. Comput. Appl. Math. 252, 62-74 (2013). MSC: 76B15 76M20 65M06 86A05 PDFBibTeX XMLCite \textit{M. T. Capilla} and \textit{A. Balaguer-Beser}, J. Comput. Appl. Math. 252, 62--74 (2013; Zbl 1290.76015) Full Text: DOI
Helluy, Philippe; Hérard, Jean-Marc; Mathis, Hélène A well-balanced approximate Riemann solver for compressible flows in variable cross-section ducts. (English) Zbl 1427.76204 J. Comput. Appl. Math. 236, No. 7, 1976-1992 (2012). MSC: 76M99 76N99 76S05 65M25 PDFBibTeX XMLCite \textit{P. Helluy} et al., J. Comput. Appl. Math. 236, No. 7, 1976--1992 (2012; Zbl 1427.76204) Full Text: DOI
Yang, Chao; Cai, Xiao-Chuan A parallel well-balanced finite volume method for shallow water equations with topography on the cubed-sphere. (English) Zbl 1222.76065 J. Comput. Appl. Math. 235, No. 18, 5357-5366 (2011). MSC: 76M12 86A10 35L65 65Y05 PDFBibTeX XMLCite \textit{C. Yang} and \textit{X.-C. Cai}, J. Comput. Appl. Math. 235, No. 18, 5357--5366 (2011; Zbl 1222.76065) Full Text: DOI