Li, Tingting; Shu, Chi-Wang; Zhang, Mengping Stability analysis of the inverse Lax-Wendroff boundary treatment for high order upwind-biased finite difference schemes. (English) Zbl 1333.65101 J. Comput. Appl. Math. 299, 140-158 (2016). MSC: 65M12 65M06 35L65 65M20 65L06 PDFBibTeX XMLCite \textit{T. Li} et al., J. Comput. Appl. Math. 299, 140--158 (2016; Zbl 1333.65101) Full Text: DOI
Jiang, Yan; Shu, Chi-Wang; Zhang, Mengping High-order finite difference WENO schemes with positivity-preserving limiter for correlated random walk with density-dependent turning rates. (English) Zbl 1318.65051 Math. Models Methods Appl. Sci. 25, No. 8, 1553-1588 (2015). Reviewer: Yajuan Sun (Beijing) MSC: 65M06 65M12 65M15 60G50 35L67 PDFBibTeX XMLCite \textit{Y. Jiang} et al., Math. Models Methods Appl. Sci. 25, No. 8, 1553--1588 (2015; Zbl 1318.65051) Full Text: DOI
Zhang, Qiang; Shu, Chi-Wang Error estimates to smooth solutions of Runge-Kutta discontinuous Galerkin method for symmetrizable systems of conservation laws. (English) Zbl 1129.65062 SIAM J. Numer. Anal. 44, No. 4, 1703-1720 (2006). Reviewer: Etienne Emmrich (Berlin) MSC: 65M15 65M06 35L65 65M60 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{C.-W. Shu}, SIAM J. Numer. Anal. 44, No. 4, 1703--1720 (2006; Zbl 1129.65062) Full Text: DOI
Qiu, Jianxian; Khoo, Boo Cheong; Shu, Chi-Wang A numerical study for the performance of the Runge-Kutta discontinuous Galerkin method based on different numerical fluxes. (English) Zbl 1083.65093 J. Comput. Phys. 212, No. 2, 540-565 (2006). MSC: 65M60 35L65 PDFBibTeX XMLCite \textit{J. Qiu} et al., J. Comput. Phys. 212, No. 2, 540--565 (2006; Zbl 1083.65093) Full Text: DOI
Zhang, Qiang; Shu, Chi-Wang Error estimates to smooth solutions of Runge-Kutta discontinuous Galerkin methods for scalar conservation laws. (English) Zbl 1078.65080 SIAM J. Numer. Anal. 42, No. 2, 641-666 (2004). Reviewer: Nicolae Pop (Baia Mare) MSC: 65M15 65M60 35L65 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{C.-W. Shu}, SIAM J. Numer. Anal. 42, No. 2, 641--666 (2004; Zbl 1078.65080) Full Text: DOI
Gottlieb, Sigal; Shu, Chi-Wang; Tadmor, Eitan Strong stability-preserving high-order time discretization methods. (English) Zbl 0967.65098 SIAM Rev. 43, No. 1, 89-112 (2001). Reviewer: Michael Sever (Jerusalem) MSC: 65M12 65M20 65-02 65L06 35L65 PDFBibTeX XMLCite \textit{S. Gottlieb} et al., SIAM Rev. 43, No. 1, 89--112 (2001; Zbl 0967.65098) Full Text: DOI
Gottlieb, Sigal; Shu, Chi-Wang Total variation diminishing Runge-Kutta schemes. (English) Zbl 0897.65058 Math. Comput. 67, No. 221, 73-85 (1998). Reviewer: E.Hairer (Genève) MSC: 65M20 65M50 65M06 65M60 35L65 65L06 34A34 PDFBibTeX XMLCite \textit{S. Gottlieb} and \textit{C.-W. Shu}, Math. Comput. 67, No. 221, 73--85 (1998; Zbl 0897.65058) Full Text: DOI
Cockburn, Bernardo; Shu, Chi-Wang The Runge-Kutta local projection \(P^ 1\)-discontinuous-Galerkin finite element method for scalar conservation laws. (English) Zbl 0732.65094 RAIRO, Modélisation Math. Anal. Numér. 25, No. 3, 337-361 (1991). Reviewer: T.Petrila (Cluj-Napoca) MSC: 65M60 65M12 35L65 65M20 PDFBibTeX XMLCite \textit{B. Cockburn} and \textit{C.-W. Shu}, RAIRO, Modélisation Math. Anal. Numér. 25, No. 3, 337--361 (1991; Zbl 0732.65094) Full Text: DOI EuDML
Shu, Chiwang Total-variation-diminishing time discretizations. (English) Zbl 0662.65081 SIAM J. Sci. Stat. Comput. 9, No. 6, 1073-1084 (1988). Reviewer: H.R.Schwarz MSC: 65M12 65M06 35L65 PDFBibTeX XMLCite \textit{C. Shu}, SIAM J. Sci. Stat. Comput. 9, No. 6, 1073--1084 (1988; Zbl 0662.65081) Full Text: DOI