Noelle, Sebastian; Parisot, Martin; Tscherpel, Tabea A class of boundary conditions for time-discrete Green-Naghdi equations with bathymetry. (English) Zbl 07596677 SIAM J. Numer. Anal. 60, No. 5, 2681-2712 (2022). MSC: 65-XX 35F60 65M08 65M12 76B15 76M12 PDFBibTeX XMLCite \textit{S. Noelle} et al., SIAM J. Numer. Anal. 60, No. 5, 2681--2712 (2022; Zbl 07596677) Full Text: DOI arXiv
Akrivis, Georgios; Li, Buyang; Wang, Jilu Convergence of a second-order energy-decaying method for the viscous rotating shallow water equation. (English) Zbl 1456.65057 SIAM J. Numer. Anal. 59, No. 1, 265-288 (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65M06 65N30 65M12 65M15 65H10 35L60 76U05 35Q35 PDFBibTeX XMLCite \textit{G. Akrivis} et al., SIAM J. Numer. Anal. 59, No. 1, 265--288 (2021; Zbl 1456.65057) Full Text: DOI
Castro Díaz, Manuel J.; Chalons, Christophe; Morales de Luna, Tomás A fully well-balanced Lagrange-projection-type scheme for the shallow-water equations. (English) Zbl 1403.35201 SIAM J. Numer. Anal. 56, No. 5, 3071-3098 (2018). MSC: 35Q30 65M08 76B15 35L60 35L65 PDFBibTeX XMLCite \textit{M. J. Castro Díaz} et al., SIAM J. Numer. Anal. 56, No. 5, 3071--3098 (2018; Zbl 1403.35201) Full Text: DOI
Chen, Guoxian; Noelle, Sebastian A new hydrostatic reconstruction scheme based on subcell reconstructions. (English) Zbl 1365.76146 SIAM J. Numer. Anal. 55, No. 2, 758-784 (2017). MSC: 76M12 35L65 PDFBibTeX XMLCite \textit{G. Chen} and \textit{S. Noelle}, SIAM J. Numer. Anal. 55, No. 2, 758--784 (2017; Zbl 1365.76146) Full Text: DOI
Chertock, Alina; Cui, Shumo; Kurganov, Alexander; Wu, Tong Steady state and sign preserving semi-implicit Runge-Kutta methods for ODEs with stiff damping term. (English) Zbl 1327.65128 SIAM J. Numer. Anal. 53, No. 4, 2008-2029 (2015). MSC: 65L04 65L06 65L07 65L20 65M22 86-08 PDFBibTeX XMLCite \textit{A. Chertock} et al., SIAM J. Numer. Anal. 53, No. 4, 2008--2029 (2015; Zbl 1327.65128) Full Text: DOI Link
Castro, Manuel J.; Fjordholm, Ulrik S.; Mishra, Siddhartha; Parés, Carlos Entropy conservative and entropy stable schemes for nonconservative hyperbolic systems. (English) Zbl 1317.65167 SIAM J. Numer. Anal. 51, No. 3, 1371-1391 (2013). Reviewer: Snezhana Gocheva-Ilieva (Plovdiv) MSC: 65M06 65M12 35L72 35Q53 76M20 76B15 PDFBibTeX XMLCite \textit{M. J. Castro} et al., SIAM J. Numer. Anal. 51, No. 3, 1371--1391 (2013; Zbl 1317.65167) Full Text: DOI Link
Bouchut, François; Morales de Luna, Tomás A subsonic-well-balanced reconstruction scheme for shallow water flows. (English) Zbl 1369.76007 SIAM J. Numer. Anal. 48, No. 5, 1733-1758 (2010). MSC: 76B07 76M25 86A05 65M08 35L60 35L65 PDFBibTeX XMLCite \textit{F. Bouchut} and \textit{T. Morales de Luna}, SIAM J. Numer. Anal. 48, No. 5, 1733--1758 (2010; Zbl 1369.76007) Full Text: DOI
Dawson, Clint Analysis of discontinuous finite element methods for ground water/surface water coupling. (English) Zbl 1124.76025 SIAM J. Numer. Anal. 44, No. 4, 1375-1404 (2006). MSC: 76M10 76S05 65N30 65N15 86A05 PDFBibTeX XMLCite \textit{C. Dawson}, SIAM J. Numer. Anal. 44, No. 4, 1375--1404 (2006; Zbl 1124.76025) Full Text: DOI
Starke, Gerhard A first-order system least squares finite element method for the shallow water equations. (English) Zbl 1128.76039 SIAM J. Numer. Anal. 42, No. 6, 2387-2407 (2005). MSC: 76M10 65M60 76B15 PDFBibTeX XMLCite \textit{G. Starke}, SIAM J. Numer. Anal. 42, No. 6, 2387--2407 (2005; Zbl 1128.76039) Full Text: DOI
Dawson, Clint N.; Martínez-Canales, Mónica L. Finite element approximations to the system of shallow water equations. III: On the treatment of boundary conditions. (English) Zbl 0979.35121 SIAM J. Numer. Anal. 38, No. 1, 149-159 (2000). MSC: 35Q35 76M10 65N30 65N15 35L65 PDFBibTeX XMLCite \textit{C. N. Dawson} and \textit{M. L. Martínez-Canales}, SIAM J. Numer. Anal. 38, No. 1, 149--159 (2000; Zbl 0979.35121) Full Text: DOI
Chippada, S.; Dawson, C. N.; Martínez-Canales, M. L.; Wheeler, M. F. Finite element approximations to the system of shallow water equations. II: Discrete-time a priori error estimates. (English) Zbl 0958.76040 SIAM J. Numer. Anal. 36, No. 1, 226-250 (1998). Reviewer: Oleg Titow (Berlin) MSC: 76M10 76B15 65M15 PDFBibTeX XMLCite \textit{S. Chippada} et al., SIAM J. Numer. Anal. 36, No. 1, 226--250 (1998; Zbl 0958.76040) Full Text: DOI
Verwer, J. G.; Sommeijer, B. P. Stability analysis of an odd-even-line hopscotch method for three-dimensional advection-diffusion problems. (English) Zbl 0872.65085 SIAM J. Numer. Anal. 34, No. 1, 376-388 (1997). Reviewer: K.T.S.R.Iyengar (Bangalore) MSC: 65M12 35K15 76B15 PDFBibTeX XMLCite \textit{J. G. Verwer} and \textit{B. P. Sommeijer}, SIAM J. Numer. Anal. 34, No. 1, 376--388 (1997; Zbl 0872.65085) Full Text: DOI
Karni, Smadar Far-field filtering operators for suppression of reflections from artificial boundaries. (English) Zbl 0866.65060 SIAM J. Numer. Anal. 33, No. 3, 1014-1047 (1996). Reviewer: M.Fritsche (Jena) MSC: 65M15 65M12 65M06 35L65 76N15 PDFBibTeX XMLCite \textit{S. Karni}, SIAM J. Numer. Anal. 33, No. 3, 1014--1047 (1996; Zbl 0866.65060) Full Text: DOI
Higdon, Robert L. Boundary conditions for suppressing rapidly moving components in hyperbolic systems. (English) Zbl 0551.35053 SIAM J. Numer. Anal. 21, 413-432 (1984). Reviewer: Claudia Simionescu MSC: 35L50 35B40 65Z05 76B15 PDFBibTeX XMLCite \textit{R. L. Higdon}, SIAM J. Numer. Anal. 21, 413--432 (1984; Zbl 0551.35053) Full Text: DOI Link