Liu, Yingjie; Shu, Chi-Wang; Tadmor, Eitan; Zhang, Mengping Central local discontinuous Galerkin methods on overlapping cells for diffusion equations. (English) Zbl 1269.65098 ESAIM, Math. Model. Numer. Anal. 45, No. 6, 1009-1032 (2011). MSC: 65M60 35K05 65M15 PDFBibTeX XMLCite \textit{Y. Liu} et al., ESAIM, Math. Model. Numer. Anal. 45, No. 6, 1009--1032 (2011; Zbl 1269.65098) Full Text: DOI
Liu, Yingjie; Shu, Chi-Wang; Tadmor, Eitan; Zhang, Mengping \(L^{2}\) stability analysis of the central discontinuous Galerkin method and a comparison between the central and regular discontinuous Galerkin methods. (English) Zbl 1152.65095 ESAIM, Math. Model. Numer. Anal. 42, No. 4, 593-607 (2008). Reviewer: Ivan Secrieru (Chişinău) MSC: 65M12 65M60 35L45 65M15 PDFBibTeX XMLCite \textit{Y. Liu} et al., ESAIM, Math. Model. Numer. Anal. 42, No. 4, 593--607 (2008; Zbl 1152.65095) Full Text: DOI EuDML
Liu, Yingjie; Shu, Chi-Wang; Tadmor, Eitan; Zhang, Mengping Central discontinuous Galerkin methods on overlapping cells with a nonoscillatory hierarchical reconstruction. (English) Zbl 1157.65450 SIAM J. Numer. Anal. 45, No. 6, 2442-2467 (2007). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{Y. Liu} et al., SIAM J. Numer. Anal. 45, No. 6, 2442--2467 (2007; Zbl 1157.65450) Full Text: DOI
Liu, Yingjie; Shu, Chiwang; Tadmor, Eitan; Zhang, Mengping Non-oscillatory hierarchical reconstruction for central and finite volume schemes. (English) Zbl 1164.65456 Commun. Comput. Phys. 2, No. 5, 933-963 (2007). MSC: 65M06 65M60 PDFBibTeX XMLCite \textit{Y. Liu} et al., Commun. Comput. Phys. 2, No. 5, 933--963 (2007; Zbl 1164.65456)