Wu, Kailiang; Shu, Chi-Wang Geometric quasilinearization framework for analysis and design of bound-preserving schemes. (English) Zbl 1527.65082 SIAM Rev. 65, No. 4, 1031-1073 (2023). MSC: 65M08 65M06 65N08 65M12 35L65 35Q31 35Q35 76N10 76N15 76M12 76M20 PDFBibTeX XMLCite \textit{K. Wu} and \textit{C.-W. Shu}, SIAM Rev. 65, No. 4, 1031--1073 (2023; Zbl 1527.65082) Full Text: DOI arXiv
Fan, Haitao; Shu, Chi-Wang High order numerical methods for flows with hysteretic fluxes. (English) Zbl 1506.65121 Appl. Numer. Math. 184, 234-252 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65M06 65N06 65L06 90B20 76S05 76T06 76L05 35Q90 35Q35 PDFBibTeX XMLCite \textit{H. Fan} and \textit{C.-W. Shu}, Appl. Numer. Math. 184, 234--252 (2023; Zbl 1506.65121) Full Text: DOI
Fan, Haitao; Shu, Chi-Wang Existence and computation of solutions of a model of traffic involving hysteresis. (English) Zbl 1454.35235 SIAM J. Appl. Math. 80, No. 6, 2319-2337 (2020). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35L65 35L40 35D30 35C07 34C55 90B20 65Z05 65M06 65M12 60K30 76S05 PDFBibTeX XMLCite \textit{H. Fan} and \textit{C.-W. Shu}, SIAM J. Appl. Math. 80, No. 6, 2319--2337 (2020; Zbl 1454.35235) Full Text: DOI
Wu, Kailiang; Shu, Chi-Wang Entropy symmetrization and high-order accurate entropy stable numerical schemes for relativistic MHD equations. (English) Zbl 1450.65089 SIAM J. Sci. Comput. 42, No. 4, A2230-A2261 (2020). Reviewer: Qifeng Zhang (Hangzhou) MSC: 65M06 65M12 76W05 76Y05 76M20 35L65 35Q35 PDFBibTeX XMLCite \textit{K. Wu} and \textit{C.-W. Shu}, SIAM J. Sci. Comput. 42, No. 4, A2230--A2261 (2020; Zbl 1450.65089) Full Text: DOI arXiv
Liu, Yong; Shu, Chi-Wang; Zhang, Mengping Entropy stable high order discontinuous Galerkin methods for ideal compressible MHD on structured meshes. (English) Zbl 1380.76162 J. Comput. Phys. 354, 163-178 (2018). MSC: 76W05 76M10 65M60 PDFBibTeX XMLCite \textit{Y. Liu} et al., J. Comput. Phys. 354, 163--178 (2018; Zbl 1380.76162) Full Text: DOI
Chen, Tianheng; Shu, Chi-Wang Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws. (English) Zbl 1380.65253 J. Comput. Phys. 345, 427-461 (2017). MSC: 65M60 35L65 35D30 35R45 PDFBibTeX XMLCite \textit{T. Chen} and \textit{C.-W. Shu}, J. Comput. Phys. 345, 427--461 (2017; Zbl 1380.65253) Full Text: DOI
Liu, Qingyuan; Shu, Chi-Wang; Zhang, Mengping Discontinuous Galerkin methods for weakly coupled hyperbolic multidomain problems. (English) Zbl 1375.65134 SIAM J. Sci. Comput. 39, No. 5, A2201-A2230 (2017). MSC: 65M60 65M20 65L06 65M12 65M15 35L20 92C37 PDFBibTeX XMLCite \textit{Q. Liu} et al., SIAM J. Sci. Comput. 39, No. 5, A2201--A2230 (2017; Zbl 1375.65134) Full Text: DOI
Xiong, Tao; Shu, Chi-Wang; Zhang, Mengping WENO scheme with subcell resolution for computing nonconservative Euler equations with applications to one-dimensional compressible two-medium flows. (English) Zbl 1383.76359 J. Sci. Comput. 53, No. 1, 222-247 (2012). MSC: 76M12 76M28 65M70 PDFBibTeX XMLCite \textit{T. Xiong} et al., J. Sci. Comput. 53, No. 1, 222--247 (2012; Zbl 1383.76359) Full Text: DOI
Noelle, Sebastian; Xing, Yulong; Shu, Chi-Wang High-order well-balanced finite volume WENO schemes for shallow water equation with moving water. (English) Zbl 1120.76046 J. Comput. Phys. 226, No. 1, 29-58 (2007). MSC: 76M12 76B15 PDFBibTeX XMLCite \textit{S. Noelle} et al., J. Comput. Phys. 226, No. 1, 29--58 (2007; Zbl 1120.76046) Full Text: DOI
Jiang, Guangshan; Shu, Chi-Wang On a cell entropy inequality for discontinuous Galerkin methods. (English) Zbl 0801.65098 Math. Comput. 62, No. 206, 531-538 (1994). Reviewer: G.Hedstrom (Livermore) MSC: 65M60 65M12 35L65 PDFBibTeX XMLCite \textit{G. Jiang} and \textit{C.-W. Shu}, Math. Comput. 62, No. 206, 531--538 (1994; Zbl 0801.65098) Full Text: DOI